From 822bac35a8d81033cdaa7bfcec4272ad9f58a522 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 29 Jul 2024 23:56:07 +0000 Subject: [PATCH] build based on d1f52ea --- .../PR1130/api/PowerSimulations/index.html | 66 +++++----- .../developer/index.html | 2 +- .../extending_powersimulations/index.html | 2 +- .../troubleshooting/index.html | 2 +- .../formulation_library/Branch/index.html | 14 +- .../Feedforward/index.html | 10 +- .../formulation_library/General/index.html | 4 +- .../Introduction/index.html | 2 +- .../formulation_library/Load/index.html | 6 +- .../formulation_library/Network/index.html | 8 +- .../formulation_library/Piecewise/index.html | 2 +- .../formulation_library/README/index.html | 2 +- .../RenewableGen/index.html | 6 +- .../formulation_library/Service/index.html | 10 +- .../formulation_library/ThermalGen/index.html | 20 +-- previews/PR1130/index.html | 2 +- .../structure_of_operation_problem/index.html | 2 +- .../troubleshooting/index.html | 2 +- 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changed, 475 insertions(+), 113 deletions(-) create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/data_store/check.sha256 create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/data_store/simulation_store.h5 create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/ED/model.bin create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/ED/optimization_container_metadata.bin create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80.json create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80_metadata.json create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80_time_series_storage.h5 create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/initial_conditions.bin create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/model.bin create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/optimization_container_metadata.bin create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553.json create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553_metadata.json create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553_time_series_storage.h5 create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/results/status.json create mode 100644 previews/PR1130/tutorials/rts-store/rts-test/simulation_files/simulation.bin diff --git a/previews/PR1130/api/PowerSimulations/index.html b/previews/PR1130/api/PowerSimulations/index.html index 3e74c71c54..9a41dc3bca 100644 --- a/previews/PR1130/api/PowerSimulations/index.html +++ b/previews/PR1130/api/PowerSimulations/index.html @@ -8,13 +8,13 @@ duals::Vector{DataType}, services::Vector{ServiceModel} attributes::Dict{String, Any} -)

Establishes the model for a particular device specified by type. Uses the keyword argument feedforward to enable passing values between operation model at simulation time

Arguments

Example

thermal_gens = DeviceModel(ThermalStandard, ThermalBasicUnitCommitment)
source

Formulations

Refer to the Formulations Page for each Abstract Device Formulation.

Problem Templates

Refer to the Problem Templates Page for available ProblemTemplates.

  +)

Establishes the model for a particular device specified by type. Uses the keyword argument feedforward to enable passing values between operation model at simulation time

Arguments

Example

thermal_gens = DeviceModel(ThermalStandard, ThermalBasicUnitCommitment)
source

Formulations

Refer to the Formulations Page for each Abstract Device Formulation.

Problem Templates

Refer to the Problem Templates Page for available ProblemTemplates.

   

Decision Models

PowerSimulations.DecisionModelType
DecisionModel{M}(
     template::AbstractProblemTemplate,
     sys::PSY.System,
     jump_model::Union{Nothing, JuMP.Model}=nothing;
     kwargs...) where {M<:DecisionProblem}

Build the optimization problem of type M with the specific system and template.

Arguments

  • ::Type{M} where M<:DecisionProblem: The abstract operation model type
  • template::AbstractProblemTemplate: The model reference made up of transmission, devices, branches, and services.
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model}: Enables passing a custom JuMP model. Use with care
  • name = nothing: name of model, string or symbol; defaults to the type of template converted to a symbol.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing : The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • horizon::Dates.Period = UNSET_HORIZON: Manually specify the length of the forecast Horizon
  • resolution::Dates.Period = UNSET_RESOLUTION: Manually specify the model's resolution
  • warm_start::Bool = true: True will use the current operation point in the system to initialize variable values. False initializes all variables to zero. Default is true
  • system_to_file::Bool = true:: True to create a copy of the system used in the model.
  • initialize_model::Bool = true: Option to decide to initialize the model or not.
  • initialization_file::String = "": This allows to pass pre-existing initialization values to avoid the solution of an optimization problem to find feasible initial conditions.
  • deserialize_initial_conditions::Bool = false: Option to deserialize conditions
  • export_pwl_vars::Bool = false: True to export all the pwl intermediate variables. It can slow down significantly the build and solve time.
  • allow_fails::Bool = false: True to allow the simulation to continue even if the optimization step fails. Use with care.
  • optimizer_solve_log_print::Bool = false: Uses JuMP.unset_silent() to print the optimizer's log. By default all solvers are set to MOI.Silent()
  • detailed_optimizer_stats::Bool = false: True to save detailed optimizer stats log.
  • calculate_conflict::Bool = false: True to use solver to calculate conflicts for infeasible problems. Only specific solvers are able to calculate conflicts.
  • direct_mode_optimizer::Bool = false: True to use the solver in direct mode. Creates a JuMP.direct_model.
  • store_variable_names::Bool = false: to store variable names in optimization model. Decreases the build times.
  • rebuild_model::Bool = false: It will force the rebuild of the underlying JuMP model with each call to update the model. It increases solution times, use only if the model can't be updated in memory.
  • initial_time::Dates.DateTime = UNSET_INI_TIME: Initial Time for the model solve.
  • time_series_cache_size::Int = IS.TIME_SERIES_CACHE_SIZE_BYTES: Size in bytes to cache for each time array. Default is 1 MiB. Set to 0 to disable.

Example

template = ProblemTemplate(CopperPlatePowerModel, devices, branches, services)
-OpModel = DecisionModel(MockOperationProblem, template, system)
source
DecisionModel(
+OpModel = DecisionModel(MockOperationProblem, template, system)
source
DecisionModel(
     ::Type{M<:PowerSimulations.DecisionProblem},
     template::PowerSimulations.AbstractProblemTemplate,
     sys::System;
@@ -28,13 +28,13 @@
     kwargs...
 ) -> DecisionModel
 

Build the optimization problem of type M with the specific system and template

Arguments

  • ::Type{M} where M<:DecisionProblem: The abstract operation model type
  • template::AbstractProblemTemplate: The model reference made up of transmission, devices, branches, and services.
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model} = nothing: Enables passing a custom JuMP model. Use with care.

Example

template = ProblemTemplate(CopperPlatePowerModel, devices, branches, services)
-problem = DecisionModel(MyOpProblemType, template, system, optimizer)
source

Builds an empty decision model. This constructor is used for the implementation of custom decision models that do not require a template.

Arguments

  • ::Type{M} where M<:DecisionProblem: The abstract operation model type
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model} = nothing: Enables passing a custom JuMP model. Use with care.

Example

problem = DecisionModel(system, optimizer)
source
DecisionModel(
+problem = DecisionModel(MyOpProblemType, template, system, optimizer)
source

Builds an empty decision model. This constructor is used for the implementation of custom decision models that do not require a template.

Arguments

  • ::Type{M} where M<:DecisionProblem: The abstract operation model type
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model} = nothing: Enables passing a custom JuMP model. Use with care.

Example

problem = DecisionModel(system, optimizer)
source
DecisionModel(
     directory::AbstractString,
     optimizer::MathOptInterface.OptimizerWithAttributes;
     jump_model,
     system
 ) -> Any
-

Construct an DecisionProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.DecisionModelMethod
DecisionModel(
+

Construct an DecisionProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.DecisionModelMethod
DecisionModel(
     ::Type{M<:PowerSimulations.DecisionProblem},
     template::PowerSimulations.AbstractProblemTemplate,
     sys::System;
@@ -48,13 +48,13 @@
     kwargs...
 ) -> DecisionModel
 

Build the optimization problem of type M with the specific system and template

Arguments

  • ::Type{M} where M<:DecisionProblem: The abstract operation model type
  • template::AbstractProblemTemplate: The model reference made up of transmission, devices, branches, and services.
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model} = nothing: Enables passing a custom JuMP model. Use with care.

Example

template = ProblemTemplate(CopperPlatePowerModel, devices, branches, services)
-problem = DecisionModel(MyOpProblemType, template, system, optimizer)
source
PowerSimulations.DecisionModelMethod
DecisionModel(
+problem = DecisionModel(MyOpProblemType, template, system, optimizer)
source
PowerSimulations.DecisionModelMethod
DecisionModel(
     directory::AbstractString,
     optimizer::MathOptInterface.OptimizerWithAttributes;
     jump_model,
     system
 ) -> Any
-

Construct an DecisionProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.build!Method
build!(
+

Construct an DecisionProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.build!Method
build!(
     model::DecisionModel;
     output_dir,
     recorders,
@@ -62,7 +62,7 @@
     file_level,
     disable_timer_outputs
 )
-

Build the Decision Model based on the specified DecisionProblem.

Arguments

  • model::DecisionModel{<:DecisionProblem}: DecisionModel object
  • output_dir::String: Output directory for results
  • recorders::Vector{Symbol} = []: recorder names to register
  • console_level = Logging.Error:
  • file_level = Logging.Info:
  • disable_timer_outputs = false : Enable/Disable timing outputs
source
PowerSimulations.solve!Method
solve!(
+

Build the Decision Model based on the specified DecisionProblem.

Arguments

  • model::DecisionModel{<:DecisionProblem}: DecisionModel object
  • output_dir::String: Output directory for results
  • recorders::Vector{Symbol} = []: recorder names to register
  • console_level = Logging.Error:
  • file_level = Logging.Info:
  • disable_timer_outputs = false : Enable/Disable timing outputs
source
PowerSimulations.solve!Method
solve!(
     model::DecisionModel;
     export_problem_results,
     console_level,
@@ -72,13 +72,13 @@
     kwargs...
 ) -> InfrastructureSystems.Simulation.RunStatusModule.RunStatus
 

Default solve method for models that conform to the requirements of DecisionModel{<: DecisionProblem}.

This will call build! on the model if it is not already built. It will forward all keyword arguments to that function.

Arguments

  • model::OperationModel = model: operation model
  • export_problem_results::Bool = false: If true, export OptimizationProblemResults DataFrames to CSV files. Reduces solution times during simulation.
  • console_level = Logging.Error:
  • file_level = Logging.Info:
  • disable_timer_outputs = false : Enable/Disable timing outputs
  • serialize::Bool = true: If true, serialize the model to a file to allow re-execution later.

Examples

results = solve!(OpModel)
-results = solve!(OpModel, export_problem_results = true)
source
  +results = solve!(OpModel, export_problem_results = true)source   

Emulation Models

PowerSimulations.EmulationModelType
EmulationModel{M}(
     template::AbstractProblemTemplate,
     sys::PSY.System,
     jump_model::Union{Nothing, JuMP.Model}=nothing;
     kwargs...) where {M<:EmulationProblem}

Build the optimization problem of type M with the specific system and template.

Arguments

  • ::Type{M} where M<:EmulationProblem: The abstract Emulation model type
  • template::AbstractProblemTemplate: The model reference made up of transmission, devices, branches, and services.
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model}: Enables passing a custom JuMP model. Use with care
  • name = nothing: name of model, string or symbol; defaults to the type of template converted to a symbol.
  • optimizer::Union{Nothing,MOI.OptimizerWithAttributes} = nothing : The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • warm_start::Bool = true: True will use the current operation point in the system to initialize variable values. False initializes all variables to zero. Default is true
  • system_to_file::Bool = true:: True to create a copy of the system used in the model.
  • initialize_model::Bool = true: Option to decide to initialize the model or not.
  • initialization_file::String = "": This allows to pass pre-existing initialization values to avoid the solution of an optimization problem to find feasible initial conditions.
  • deserialize_initial_conditions::Bool = false: Option to deserialize conditions
  • export_pwl_vars::Bool = false: True to export all the pwl intermediate variables. It can slow down significantly the build and solve time.
  • allow_fails::Bool = false: True to allow the simulation to continue even if the optimization step fails. Use with care.
  • calculate_conflict::Bool = false: True to use solver to calculate conflicts for infeasible problems. Only specific solvers are able to calculate conflicts.
  • optimizer_solve_log_print::Bool = false: Uses JuMP.unset_silent() to print the optimizer's log. By default all solvers are set to MOI.Silent()
  • detailed_optimizer_stats::Bool = false: True to save detailed optimizer stats log.
  • direct_mode_optimizer::Bool = false: True to use the solver in direct mode. Creates a JuMP.direct_model.
  • store_variable_names::Bool = false: True to store variable names in optimization model.
  • rebuild_model::Bool = false: It will force the rebuild of the underlying JuMP model with each call to update the model. It increases solution times, use only if the model can't be updated in memory.
  • initial_time::Dates.DateTime = UNSET_INI_TIME: Initial Time for the model solve.
  • time_series_cache_size::Int = IS.TIME_SERIES_CACHE_SIZE_BYTES: Size in bytes to cache for each time array. Default is 1 MiB. Set to 0 to disable.

Example

template = ProblemTemplate(CopperPlatePowerModel, devices, branches, services)
-OpModel = EmulationModel(MockEmulationProblem, template, system)
source
PowerSimulations.EmulationModelMethod
EmulationModel(
+OpModel = EmulationModel(MockEmulationProblem, template, system)
source
PowerSimulations.EmulationModelMethod
EmulationModel(
     ::Type{M<:PowerSimulations.EmulationProblem},
     template::PowerSimulations.AbstractProblemTemplate,
     sys::System;
@@ -92,14 +92,14 @@
     kwargs...
 ) -> EmulationModel
 

Build the optimization problem of type M with the specific system and template

Arguments

  • ::Type{M} where M<:EmulationProblem: The abstract Emulation model type
  • template::AbstractProblemTemplate: The model reference made up of transmission, devices, branches, and services.
  • sys::PSY.System: the system created using Power Systems
  • jump_model::Union{Nothing, JuMP.Model}: Enables passing a custom JuMP model. Use with care

Example

template = ProblemTemplate(CopperPlatePowerModel, devices, branches, services)
-problem = EmulationModel(MyEmProblemType, template, system, optimizer)
source
PowerSimulations.EmulationModelMethod
EmulationModel(
+problem = EmulationModel(MyEmProblemType, template, system, optimizer)
source
PowerSimulations.EmulationModelMethod
EmulationModel(
     directory::AbstractString,
     optimizer::MathOptInterface.OptimizerWithAttributes;
     jump_model,
     system,
     kwargs...
 ) -> Any
-

Construct an EmulationProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model.
  • optimizer::MOI.OptimizerWithAttributes: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.build!Method
build!(
+

Construct an EmulationProblem from a serialized file.

Arguments

  • directory::AbstractString: Directory containing a serialized model.
  • optimizer::MOI.OptimizerWithAttributes: The optimizer does not get serialized. Callers should pass whatever they passed to the original problem.
  • jump_model::Union{Nothing, JuMP.Model} = nothing: The JuMP model does not get serialized. Callers should pass whatever they passed to the original problem.
  • system::Union{Nothing, PSY.System}: Optionally, the system used for the model. If nothing and systofile was set to true when the model was created, the system will be deserialized from a file.
source
PowerSimulations.build!Method
build!(
     model::EmulationModel;
     executions,
     output_dir,
@@ -108,7 +108,7 @@
     file_level,
     disable_timer_outputs
 )
-

Implementation of build for any EmulationProblem

source
PowerSimulations.run!Method
run!(
+

Implementation of build for any EmulationProblem

source
PowerSimulations.run!Method
run!(
     model::EmulationModel;
     export_problem_results,
     console_level,
@@ -118,8 +118,8 @@
     kwargs...
 ) -> InfrastructureSystems.Simulation.RunStatusModule.RunStatus
 

Default run method for problems that conform to the requirements of EmulationModel{<: EmulationProblem}

This will call build! on the model if it is not already built. It will forward all keyword arguments to that function.

Arguments

  • model::EmulationModel = model: Emulation model
  • optimizer::MOI.OptimizerWithAttributes: The optimizer that is used to solve the model
  • executions::Int: Number of executions for the emulator run
  • export_problem_results::Bool: If true, export OptimizationProblemResults DataFrames to CSV files.
  • output_dir::String: Required if the model is not already built, otherwise ignored
  • enable_progress_bar::Bool: Enables/Disable progress bar printing
  • serialize::Bool: If true, serialize the model to a file to allow re-execution later.

Examples

status = run!(model; optimizer = GLPK.Optimizer, executions = 10)
-status = run!(model; output_dir = ./model_output, optimizer = GLPK.Optimizer, executions = 10)
source
  - 

Service Models

List of structures and methods for Service models

PowerSimulations.ServiceModelType

Establishes the model for a particular services specified by type. Uses the keyword argument use_service_name to assign the model to a service with the same name as the name in the template. Uses the keyword argument feedforward to enable passing values between operation model at simulation time

Arguments

-::Type{D}: Power System Service Type -::Type{B}: Abstract Service Formulation

Accepted Key Words

  • feedforward::Array{<:AbstractAffectFeedforward} : use to pass parameters between models
  • use_service_name::Bool : use the name as the name for the service

Example

reserves = ServiceModel(PSY.VariableReserve{PSY.ReserveUp}, RangeReserve)

source
  +status = run!(model; output_dir = ./model_output, optimizer = GLPK.Optimizer, executions = 10)source  + 

Service Models

List of structures and methods for Service models

PowerSimulations.ServiceModelType

Establishes the model for a particular services specified by type. Uses the keyword argument use_service_name to assign the model to a service with the same name as the name in the template. Uses the keyword argument feedforward to enable passing values between operation model at simulation time

Arguments

-::Type{D}: Power System Service Type -::Type{B}: Abstract Service Formulation

Accepted Key Words

  • feedforward::Array{<:AbstractAffectFeedforward} : use to pass parameters between models
  • use_service_name::Bool : use the name as the name for the service

Example

reserves = ServiceModel(PSY.VariableReserve{PSY.ReserveUp}, RangeReserve)

source
   

Simulation Models

Refer to the Simulations Page to explanations on how to setup a Simulation, with Sequencing and Feedforwards.

PowerSimulations.SimulationModelsType
SimulationModels(
     decision_models::Vector{<:DecisionModel},
     emulation_models::Union{Nothing, EmulationModel}
@@ -132,7 +132,7 @@
         my_decision_model_uc,
         my_decision_model_ed
     ]
-)
source
PowerSimulations.SimulationSequenceType
SimulationSequence(
+)
source
PowerSimulations.SimulationSequenceType
SimulationSequence(
     models::SimulationModels,
     feedforward::Dict{String, Vector{<:AbstractAffectFeedforward}}
     ini_cond_chronology::InitialConditionChronology
@@ -158,7 +158,7 @@
             ),
         ],
     ),
-)
source
PowerSimulations.SimulationType
Simulation(
+)
source
PowerSimulations.SimulationType
Simulation(
     sequence::SimulationSequence,
     name::String,
     steps::Int
@@ -195,8 +195,8 @@
     steps = 5,
     models = models,
     simulation_folder = mktempdir(cleanup=true),
-)
source
PowerSimulations.SimulationMethod
Simulation(directory::AbstractString, model_info::Dict)
-

Constructs Simulation from a serialized directory. Callers should pass any kwargs here that they passed to the original Simulation.

Arguments

  • directory::AbstractString: the directory returned from the call to serialize
  • model_info::Dict: Two-level dictionary containing model parameters that cannot be serialized. The outer dict should be keyed by the problem name. The inner dict must contain 'optimizer' and may contain 'jump_model'. These should be the same values used for the original simulation.
source
PowerSimulations.build!Method
build!(
+)
source
PowerSimulations.SimulationMethod
Simulation(directory::AbstractString, model_info::Dict)
+

Constructs Simulation from a serialized directory. Callers should pass any kwargs here that they passed to the original Simulation.

Arguments

  • directory::AbstractString: the directory returned from the call to serialize
  • model_info::Dict: Two-level dictionary containing model parameters that cannot be serialized. The outer dict should be keyed by the problem name. The inner dict must contain 'optimizer' and may contain 'jump_model'. These should be the same values used for the original simulation.
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PowerSimulations.build!Method
build!(
     sim::Simulation;
     recorders,
     console_level,
@@ -205,35 +205,35 @@
     partitions,
     index
 ) -> InfrastructureSystems.Simulation.SimulationBuildStatusModule.SimulationBuildStatus
-

Build the Simulation, problems and the related folder structure.

Arguments

  • sim::Simulation: simulation object
  • recorders::Vector{Symbol} = []: recorder names to register
  • serialize::Bool = true: serializes the simulation objects in the simulation
  • console_level = Logging.Error:
  • file_level = Logging.Info:
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PowerSimulations.execute!Method
execute!(
+

Build the Simulation, problems and the related folder structure.

Arguments

  • sim::Simulation: simulation object
  • recorders::Vector{Symbol} = []: recorder names to register
  • serialize::Bool = true: serializes the simulation objects in the simulation
  • console_level = Logging.Error:
  • file_level = Logging.Info:
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PowerSimulations.execute!Method
execute!(
     sim::Simulation;
     kwargs...
 ) -> InfrastructureSystems.Simulation.RunStatusModule.RunStatus
 

Solves the simulation model for sequential Simulations.

Arguments

  • sim::Simulation=sim: simulation object created by Simulation()

The optional keyword argument exports controls exporting of results to CSV files as the simulation runs.

Example

sim = Simulation("Test", 7, problems, "/Users/folder")
-execute!(sim::Simulation; kwargs...)
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  - 

Variables

For a list of variables for each device refer to its Formulations page.

Common Variables

PowerSimulations.ActivePowerVariableType

Struct to dispatch the creation of Active Power Variables

Docs abbreviation: $p$

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PowerSimulations.ReactivePowerVariableType

Struct to dispatch the creation of Reactive Power Variables

Docs abbreviation: $q$

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PowerSimulations.PieceWiseLinearCostVariableType

Struct to dispatch the creation of piecewise linear cost variables for objective function

Docs abbreviation: $\delta$

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Thermal Unit Variables

PowerSimulations.OnVariableType

Struct to dispatch the creation of a binary commitment status variable

Docs abbreviation: $u$

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PowerSimulations.StartVariableType

Struct to dispatch the creation of Binary Start Variables

Docs abbreviation: $v$

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PowerSimulations.StopVariableType

Struct to dispatch the creation of Binary Stop Variables

Docs abbreviation: $w$

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PowerSimulations.TimeDurationOnType

Auxiliary Variable for Thermal Generation Models to keep track of time elapsed on

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PowerSimulations.TimeDurationOffType

Auxiliary Variable for Thermal Generation Models to keep track of time elapsed off

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PowerSimulations.HotStartVariableType

Struct to dispatch the creation of Hot Start Variable for Thermal units with temperature considerations

Docs abbreviation: $z^\text{th}$

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PowerSimulations.WarmStartVariableType

Struct to dispatch the creation of Warm Start Variable for Thermal units with temperature considerations

Docs abbreviation: $y^\text{th}$

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PowerSimulations.ColdStartVariableType

Struct to dispatch the creation of Cold Start Variable for Thermal units with temperature considerations

Docs abbreviation: $x^\text{th}$

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PowerSimulations.PowerAboveMinimumVariableType

Struct to dispatch the creation of Active Power Variables above minimum power for Thermal Compact formulations

Docs abbreviation: $\Delta p$

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PowerSimulations.PowerOutputType

Auxiliary Variable for Thermal Generation Models that solve for power above min

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Storage Unit Variables

PowerSimulations.ReservationVariableType

Struct to dispatch the creation of binary storage charge reservation variable

Docs abbreviation: $u^\text{st}$

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Branches and Network Variables

PowerSimulations.FlowActivePowerVariableType

Struct to dispatch the creation of bidirectional Active Power Flow Variables

Docs abbreviation: $f$

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PowerSimulations.FlowActivePowerSlackUpperBoundType

Struct to dispatch the creation of active power flow upper bound slack variables. Used when there is not enough flow through the branch in the forward direction.

Docs abbreviation: $f^\text{sl,up}$

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PowerSimulations.FlowActivePowerSlackLowerBoundType

Struct to dispatch the creation of active power flow lower bound slack variables. Used when there is not enough flow through the branch in the reverse direction.

Docs abbreviation: $f^\text{sl,lo}$

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PowerSimulations.FlowActivePowerFromToVariableType

Struct to dispatch the creation of unidirectional Active Power Flow Variables

Docs abbreviation: $f^\text{from-to}$

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PowerSimulations.FlowActivePowerToFromVariableType

Struct to dispatch the creation of unidirectional Active Power Flow Variables

Docs abbreviation: $f^\text{to-from}$

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PowerSimulations.FlowReactivePowerFromToVariableType

Struct to dispatch the creation of unidirectional Reactive Power Flow Variables

Docs abbreviation: $f^\text{q,from-to}$

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PowerSimulations.FlowReactivePowerToFromVariableType

Struct to dispatch the creation of unidirectional Reactive Power Flow Variables

Docs abbreviation: $f^\text{q,to-from}$

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PowerSimulations.PhaseShifterAngleType

Struct to dispatch the creation of Phase Shifters Variables

Docs abbreviation: $\theta^\text{shift}$

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PowerSimulations.HVDCLossesType

Struct to dispatch the creation of HVDC Losses Auxiliary Variables

Docs abbreviation: $\ell$

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PowerSimulations.HVDCFlowDirectionVariableType

Struct to dispatch the creation of HVDC Flow Direction Auxiliary Variables

Docs abbreviation: $u^\text{dir}$

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PowerSimulations.VoltageMagnitudeType

Struct to dispatch the creation of Voltage Magnitude Variables for AC formulations

Docs abbreviation: $v$

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PowerSimulations.VoltageAngleType

Struct to dispatch the creation of Voltage Angle Variables for AC/DC formulations

Docs abbreviation: $\theta$

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Services Variables

PowerSimulations.ActivePowerReserveVariableType

Struct to dispatch the creation of Active Power Reserve Variables

Docs abbreviation: $r$

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PowerSimulations.ServiceRequirementVariableType

Struct to dispatch the creation of Service Requirement Variables

Docs abbreviation: $\text{req}$

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PowerSimulations.SystemBalanceSlackUpType

Struct to dispatch the creation of System-wide slack up variables. Used when there is not enough generation.

Docs abbreviation: $p^\text{sl,up}$

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PowerSimulations.SystemBalanceSlackDownType

Struct to dispatch the creation of System-wide slack down variables. Used when there is not enough load curtailment.

Docs abbreviation: $p^\text{sl,dn}$

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PowerSimulations.ReserveRequirementSlackType

Struct to dispatch the creation of Reserve requirement slack variables. Used when there is not reserves in the system to satisfy the requirement.

Docs abbreviation: $r^\text{sl}$

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PowerSimulations.InterfaceFlowSlackUpType

Struct to dispatch the creation of Interface Flow Slack Up variables

Docs abbreviation: $f^\text{sl,up}$

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PowerSimulations.InterfaceFlowSlackDownType

Struct to dispatch the creation of Interface Flow Slack Down variables

Docs abbreviation: $f^\text{sl,dn}$

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Feedforward Variables

PowerSimulations.UpperBoundFeedForwardSlackType

Struct to dispatch the creation of Slack variables for UpperBoundFeedforward

Docs abbreviation: $p^\text{ff,ubsl}$

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PowerSimulations.LowerBoundFeedForwardSlackType

Struct to dispatch the creation of Slack variables for LowerBoundFeedforward

Docs abbreviation: $p^\text{ff,lbsl}$

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  - 

Constraints

Common Constraints

PowerSimulations.PieceWiseLinearCostConstraintType

Struct to create the PieceWiseLinearCostConstraint associated with a specified variable.

See Piecewise linear cost functions for more information.

source

Network Constraints

PowerSimulations.CopperPlateBalanceConstraintType

Struct to create the constraint to balance power in the copperplate model. For more information check Network Formulations.

The specified constraint is generally formulated as:

\[\sum_{c \in \text{components}} p_t^c = 0, \quad \forall t \in \{1, \dots, T\}\]

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PowerSimulations.NodalBalanceActiveConstraintType

Struct to create the constraint to balance active power in nodal formulation. For more information check Network Formulations.

The specified constraint depends on the network model chosen.

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PowerSimulations.NodalBalanceReactiveConstraintType

Struct to create the constraint to balance reactive power in nodal formulation. For more information check Network Formulations.

The specified constraint depends on the network model chosen.

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Power Variable Limit Constraints

PowerSimulations.ActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.ReactivePowerVariableLimitsConstraintType

Struct to create the constraint to limit reactive power expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[Q^\text{min} \le q_t \le Q^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.ActivePowerVariableTimeSeriesLimitsConstraintType

Struct to create the constraint to limit active power expressions by a time series parameter. For more information check Device Formulations.

The specified constraint depends on the UpperBound expressions, but in its most basic formulation is of the form:

\[p_t \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.InputActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power input expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t^\text{in} \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.OutputActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power output expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t^\text{out} \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

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Services Constraints

PowerSimulations.RequirementConstraintType

Struct to create the constraint for satisfying active power reserve requirements. For more information check Service Formulations.

The constraint is as follows:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ -\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a VariableReserve)}\]

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PowerSimulations.ParticipationFractionConstraintType

Struct to create the constraint to participation assignments limits in the active power reserves. For more information check Service Formulations.

The constraint is as follows:

\[r_{d,t} \le \text{Req} \cdot \text{PF} ,\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ -r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for a VariableReserve)}\]

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PowerSimulations.ReservePowerConstraintType

Struct to create the constraint for ensuring that NonSpinning Reserve can be delivered from turn-off thermal units.

For more information check Service Formulations for NonSpinningReserve.

The constraint is as follows:

\[r_{d,t} \le (1 - u_{d,t}^\text{th}) \cdot R^\text{limit}_d, \quad \forall d \in \mathcal{D}_s, \forall t \in \{1,\dots, T\}\]

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Thermal Unit Constraints

PowerSimulations.ActiveRangeICConstraintType

Struct to create the constraint for starting up ThermalMultiStart units. For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

The specified constraint is formulated as:

\[\max\{P^\text{th,max} - P^\text{th,shdown}, 0\} \cdot w_1^\text{th} \le u^\text{th,init} (P^\text{th,max} - P^\text{th,min}) - P^\text{th,init}\]

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PowerSimulations.CommitmentConstraintType

Struct to create the commitment constraint between the on, start, and stop variables. For more information check ThermalGen Formulations.

The specified constraints are formulated as:

\[u_1^\text{th} = u^\text{th,init} + v_1^\text{th} - w_1^\text{th} \\ +execute!(sim::Simulation; kwargs...)

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  + 

Variables

For a list of variables for each device refer to its Formulations page.

Common Variables

PowerSimulations.ActivePowerVariableType

Struct to dispatch the creation of Active Power Variables

Docs abbreviation: $p$

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PowerSimulations.ReactivePowerVariableType

Struct to dispatch the creation of Reactive Power Variables

Docs abbreviation: $q$

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PowerSimulations.PieceWiseLinearCostVariableType

Struct to dispatch the creation of piecewise linear cost variables for objective function

Docs abbreviation: $\delta$

source

Thermal Unit Variables

PowerSimulations.OnVariableType

Struct to dispatch the creation of a binary commitment status variable

Docs abbreviation: $u$

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PowerSimulations.StartVariableType

Struct to dispatch the creation of Binary Start Variables

Docs abbreviation: $v$

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PowerSimulations.StopVariableType

Struct to dispatch the creation of Binary Stop Variables

Docs abbreviation: $w$

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PowerSimulations.TimeDurationOnType

Auxiliary Variable for Thermal Generation Models to keep track of time elapsed on

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PowerSimulations.TimeDurationOffType

Auxiliary Variable for Thermal Generation Models to keep track of time elapsed off

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PowerSimulations.HotStartVariableType

Struct to dispatch the creation of Hot Start Variable for Thermal units with temperature considerations

Docs abbreviation: $z^\text{th}$

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PowerSimulations.WarmStartVariableType

Struct to dispatch the creation of Warm Start Variable for Thermal units with temperature considerations

Docs abbreviation: $y^\text{th}$

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PowerSimulations.ColdStartVariableType

Struct to dispatch the creation of Cold Start Variable for Thermal units with temperature considerations

Docs abbreviation: $x^\text{th}$

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PowerSimulations.PowerAboveMinimumVariableType

Struct to dispatch the creation of Active Power Variables above minimum power for Thermal Compact formulations

Docs abbreviation: $\Delta p$

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PowerSimulations.PowerOutputType

Auxiliary Variable for Thermal Generation Models that solve for power above min

source

Storage Unit Variables

PowerSimulations.ReservationVariableType

Struct to dispatch the creation of binary storage charge reservation variable

Docs abbreviation: $u^\text{st}$

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Branches and Network Variables

PowerSimulations.FlowActivePowerVariableType

Struct to dispatch the creation of bidirectional Active Power Flow Variables

Docs abbreviation: $f$

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PowerSimulations.FlowActivePowerSlackUpperBoundType

Struct to dispatch the creation of active power flow upper bound slack variables. Used when there is not enough flow through the branch in the forward direction.

Docs abbreviation: $f^\text{sl,up}$

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PowerSimulations.FlowActivePowerSlackLowerBoundType

Struct to dispatch the creation of active power flow lower bound slack variables. Used when there is not enough flow through the branch in the reverse direction.

Docs abbreviation: $f^\text{sl,lo}$

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PowerSimulations.FlowActivePowerFromToVariableType

Struct to dispatch the creation of unidirectional Active Power Flow Variables

Docs abbreviation: $f^\text{from-to}$

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PowerSimulations.FlowActivePowerToFromVariableType

Struct to dispatch the creation of unidirectional Active Power Flow Variables

Docs abbreviation: $f^\text{to-from}$

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PowerSimulations.FlowReactivePowerFromToVariableType

Struct to dispatch the creation of unidirectional Reactive Power Flow Variables

Docs abbreviation: $f^\text{q,from-to}$

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PowerSimulations.FlowReactivePowerToFromVariableType

Struct to dispatch the creation of unidirectional Reactive Power Flow Variables

Docs abbreviation: $f^\text{q,to-from}$

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PowerSimulations.PhaseShifterAngleType

Struct to dispatch the creation of Phase Shifters Variables

Docs abbreviation: $\theta^\text{shift}$

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PowerSimulations.HVDCLossesType

Struct to dispatch the creation of HVDC Losses Auxiliary Variables

Docs abbreviation: $\ell$

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PowerSimulations.HVDCFlowDirectionVariableType

Struct to dispatch the creation of HVDC Flow Direction Auxiliary Variables

Docs abbreviation: $u^\text{dir}$

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PowerSimulations.VoltageMagnitudeType

Struct to dispatch the creation of Voltage Magnitude Variables for AC formulations

Docs abbreviation: $v$

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PowerSimulations.VoltageAngleType

Struct to dispatch the creation of Voltage Angle Variables for AC/DC formulations

Docs abbreviation: $\theta$

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Services Variables

PowerSimulations.ActivePowerReserveVariableType

Struct to dispatch the creation of Active Power Reserve Variables

Docs abbreviation: $r$

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PowerSimulations.ServiceRequirementVariableType

Struct to dispatch the creation of Service Requirement Variables

Docs abbreviation: $\text{req}$

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PowerSimulations.SystemBalanceSlackUpType

Struct to dispatch the creation of System-wide slack up variables. Used when there is not enough generation.

Docs abbreviation: $p^\text{sl,up}$

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PowerSimulations.SystemBalanceSlackDownType

Struct to dispatch the creation of System-wide slack down variables. Used when there is not enough load curtailment.

Docs abbreviation: $p^\text{sl,dn}$

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PowerSimulations.ReserveRequirementSlackType

Struct to dispatch the creation of Reserve requirement slack variables. Used when there is not reserves in the system to satisfy the requirement.

Docs abbreviation: $r^\text{sl}$

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PowerSimulations.InterfaceFlowSlackUpType

Struct to dispatch the creation of Interface Flow Slack Up variables

Docs abbreviation: $f^\text{sl,up}$

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PowerSimulations.InterfaceFlowSlackDownType

Struct to dispatch the creation of Interface Flow Slack Down variables

Docs abbreviation: $f^\text{sl,dn}$

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Feedforward Variables

PowerSimulations.UpperBoundFeedForwardSlackType

Struct to dispatch the creation of Slack variables for UpperBoundFeedforward

Docs abbreviation: $p^\text{ff,ubsl}$

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PowerSimulations.LowerBoundFeedForwardSlackType

Struct to dispatch the creation of Slack variables for LowerBoundFeedforward

Docs abbreviation: $p^\text{ff,lbsl}$

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  + 

Constraints

Common Constraints

PowerSimulations.PieceWiseLinearCostConstraintType

Struct to create the PieceWiseLinearCostConstraint associated with a specified variable.

See Piecewise linear cost functions for more information.

source

Network Constraints

PowerSimulations.CopperPlateBalanceConstraintType

Struct to create the constraint to balance power in the copperplate model. For more information check Network Formulations.

The specified constraint is generally formulated as:

\[\sum_{c \in \text{components}} p_t^c = 0, \quad \forall t \in \{1, \dots, T\}\]

source
PowerSimulations.NodalBalanceActiveConstraintType

Struct to create the constraint to balance active power in nodal formulation. For more information check Network Formulations.

The specified constraint depends on the network model chosen.

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PowerSimulations.NodalBalanceReactiveConstraintType

Struct to create the constraint to balance reactive power in nodal formulation. For more information check Network Formulations.

The specified constraint depends on the network model chosen.

source

Power Variable Limit Constraints

PowerSimulations.ActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.ReactivePowerVariableLimitsConstraintType

Struct to create the constraint to limit reactive power expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[Q^\text{min} \le q_t \le Q^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.ActivePowerVariableTimeSeriesLimitsConstraintType

Struct to create the constraint to limit active power expressions by a time series parameter. For more information check Device Formulations.

The specified constraint depends on the UpperBound expressions, but in its most basic formulation is of the form:

\[p_t \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.InputActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power input expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t^\text{in} \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.OutputActivePowerVariableLimitsConstraintType

Struct to create the constraint to limit active power output expressions. For more information check Device Formulations.

The specified constraint depends on the UpperBound and LowerBound expressions, but in its most basic formulation is of the form:

\[P^\text{min} \le p_t^\text{out} \le P^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source

Services Constraints

PowerSimulations.RequirementConstraintType

Struct to create the constraint for satisfying active power reserve requirements. For more information check Service Formulations.

The constraint is as follows:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ +\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a VariableReserve)}\]

source
PowerSimulations.ParticipationFractionConstraintType

Struct to create the constraint to participation assignments limits in the active power reserves. For more information check Service Formulations.

The constraint is as follows:

\[r_{d,t} \le \text{Req} \cdot \text{PF} ,\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ +r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for a VariableReserve)}\]

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PowerSimulations.ReservePowerConstraintType

Struct to create the constraint for ensuring that NonSpinning Reserve can be delivered from turn-off thermal units.

For more information check Service Formulations for NonSpinningReserve.

The constraint is as follows:

\[r_{d,t} \le (1 - u_{d,t}^\text{th}) \cdot R^\text{limit}_d, \quad \forall d \in \mathcal{D}_s, \forall t \in \{1,\dots, T\}\]

source

Thermal Unit Constraints

PowerSimulations.ActiveRangeICConstraintType

Struct to create the constraint for starting up ThermalMultiStart units. For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

The specified constraint is formulated as:

\[\max\{P^\text{th,max} - P^\text{th,shdown}, 0\} \cdot w_1^\text{th} \le u^\text{th,init} (P^\text{th,max} - P^\text{th,min}) - P^\text{th,init}\]

source
PowerSimulations.CommitmentConstraintType

Struct to create the commitment constraint between the on, start, and stop variables. For more information check ThermalGen Formulations.

The specified constraints are formulated as:

\[u_1^\text{th} = u^\text{th,init} + v_1^\text{th} - w_1^\text{th} \\ u_t^\text{th} = u_{t-1}^\text{th} + v_t^\text{th} - w_t^\text{th}, \quad \forall t \in \{2,\dots,T\} \\ -v_t^\text{th} + w_t^\text{th} \le 1, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.DurationConstraintType

Struct to create the duration constraint for commitment formulations, i.e. min-up and min-down.

For more information check ThermalGen Formulations.

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PowerSimulations.RampConstraintType

Struct to create the RampConstraint associated with a specified thermal device or reserve service.

For thermal units, see more information in Thermal Formulations. The constraint is as follows:

\[-R^\text{th,dn} \le p_t^\text{th} - p_{t-1}^\text{th} \le R^\text{th,up}, \quad \forall t\in \{1, \dots, T\}\]

For Ramp Reserve, see more information in Service Formulations. The constraint is as follows:

\[r_{d,t} \le R^\text{th,up} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveUp)} \\ -r_{d,t} \le R^\text{th,dn} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveDown)}\]

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PowerSimulations.StartupInitialConditionConstraintType

Struct to create the start-up initial condition constraints for ThermalMultiStart.

For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

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PowerSimulations.StartupTimeLimitTemperatureConstraintType

Struct to create the start-up time limit constraints for ThermalMultiStart.

For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

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Renewable Unit Constraints

PowerSimulations.EqualityConstraintType

Struct to create the constraint that sets the reactive power to the power factor in the RenewableConstantPowerFactor formulation for renewable units.

For more information check RenewableGen Formulations.

The specified constraint is formulated as:

\[q_t^\text{re} = \text{pf} \cdot p_t^\text{re}, \quad \forall t \in \{1,\dots, T\}\]

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Branches Constraints

PowerSimulations.FlowLimitConstraintType

Struct to create the constraint that set the flow limits through a PhaseShiftingTransformer.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[-R^\text{max} \le f_t \le R^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.FlowRateConstraintType

Struct to create the constraint that set the flow limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{min} \le f_t \le R^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.FlowRateConstraintFromToType

Struct to create the constraint that set the flow from-to limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{from,min} \le f_t^\text{from-to} \le R^\text{from,max}, \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.FlowRateConstraintToFromType

Struct to create the constraint that set the flow to-from limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{to,min} \le f_t^\text{to-from} \le R^\text{to,max},\quad \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.HVDCLossesAbsoluteValueType

Struct to create the constraints that set the losses through a lossy HVDC two-terminal line.

For more information check Branch Formulations.

The specified constraints are formulated as:

\[\begin{align*} +v_t^\text{th} + w_t^\text{th} \le 1, \quad \forall t \in \{1,\dots,T\}\]

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PowerSimulations.DurationConstraintType

Struct to create the duration constraint for commitment formulations, i.e. min-up and min-down.

For more information check ThermalGen Formulations.

source
PowerSimulations.RampConstraintType

Struct to create the RampConstraint associated with a specified thermal device or reserve service.

For thermal units, see more information in Thermal Formulations. The constraint is as follows:

\[-R^\text{th,dn} \le p_t^\text{th} - p_{t-1}^\text{th} \le R^\text{th,up}, \quad \forall t\in \{1, \dots, T\}\]

For Ramp Reserve, see more information in Service Formulations. The constraint is as follows:

\[r_{d,t} \le R^\text{th,up} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveUp)} \\ +r_{d,t} \le R^\text{th,dn} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveDown)}\]

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PowerSimulations.StartupInitialConditionConstraintType

Struct to create the start-up initial condition constraints for ThermalMultiStart.

For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

source
PowerSimulations.StartupTimeLimitTemperatureConstraintType

Struct to create the start-up time limit constraints for ThermalMultiStart.

For more information check ThermalGen Formulations for ThermalMultiStartUnitCommitment.

source

Renewable Unit Constraints

PowerSimulations.EqualityConstraintType

Struct to create the constraint that sets the reactive power to the power factor in the RenewableConstantPowerFactor formulation for renewable units.

For more information check RenewableGen Formulations.

The specified constraint is formulated as:

\[q_t^\text{re} = \text{pf} \cdot p_t^\text{re}, \quad \forall t \in \{1,\dots, T\}\]

source

Branches Constraints

PowerSimulations.FlowLimitConstraintType

Struct to create the constraint that set the flow limits through a PhaseShiftingTransformer.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[-R^\text{max} \le f_t \le R^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.FlowRateConstraintType

Struct to create the constraint that set the flow limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{min} \le f_t \le R^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source
PowerSimulations.FlowRateConstraintFromToType

Struct to create the constraint that set the flow from-to limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{from,min} \le f_t^\text{from-to} \le R^\text{from,max}, \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.FlowRateConstraintToFromType

Struct to create the constraint that set the flow to-from limits through an HVDC two-terminal branch.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[R^\text{to,min} \le f_t^\text{to-from} \le R^\text{to,max},\quad \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.HVDCLossesAbsoluteValueType

Struct to create the constraints that set the losses through a lossy HVDC two-terminal line.

For more information check Branch Formulations.

The specified constraints are formulated as:

\[\begin{align*} & f_t^\text{to-from} - f_t^\text{from-to} \le \ell_t,\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{from-to} - f_t^\text{to-from} \le \ell_t,\quad \forall t \in \{1,\dots, T\} -\end{align*}\]

source
PowerSimulations.HVDCPowerBalanceType

Struct to create the constraints that set the power balance across a lossy HVDC two-terminal line.

For more information check Branch Formulations.

The specified constraints are formulated as:

\[\begin{align*} +\end{align*}\]

source
PowerSimulations.HVDCPowerBalanceType

Struct to create the constraints that set the power balance across a lossy HVDC two-terminal line.

For more information check Branch Formulations.

The specified constraints are formulated as:

\[\begin{align*} & f_t^\text{to-from} - f_t^\text{from-to} \le L_1 \cdot f_t^\text{to-from} - L_0,\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{from-to} - f_t^\text{to-from} \ge L_1 \cdot f_t^\text{from-to} + L_0,\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{from-to} - f_t^\text{to-from} \ge - M^\text{big} (1 - u^\text{dir}_t),\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{to-from} - f_t^\text{from-to} \ge - M^\text{big} u^\text{dir}_t,\quad \forall t \in \{1,\dots, T\} \\ -\end{align*}\]

source
PowerSimulations.NetworkFlowConstraintType

Struct to create the constraint the AC branch flows depending on the network model. For more information check Branch Formulations.

The specified constraint depends on the network model chosen. The most common application is the StaticBranch in a PTDF Network Model:

\[f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t}, \quad \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.RateLimitConstraintType

Struct to create the constraint that set the AC flow limits through branches.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[\begin{align*} +\end{align*}\]

source
PowerSimulations.NetworkFlowConstraintType

Struct to create the constraint the AC branch flows depending on the network model. For more information check Branch Formulations.

The specified constraint depends on the network model chosen. The most common application is the StaticBranch in a PTDF Network Model:

\[f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t}, \quad \forall t \in \{1,\dots, T\}\]

source
PowerSimulations.RateLimitConstraintType

Struct to create the constraint that set the AC flow limits through branches.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[\begin{align*} & f_t - f_t^\text{sl,up} \le R^\text{max},\quad \forall t \in \{1,\dots, T\} \\ & f_t + f_t^\text{sl,lo} \ge -R^\text{max},\quad \forall t \in \{1,\dots, T\} -\end{align*}\]

source
PowerSimulations.PhaseAngleControlLimitType

Struct to create the constraint that set the angle limits through a PhaseShiftingTransformer.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[\Theta^\text{min} \le \theta^\text{shift}_t \le \Theta^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source

Feedforward Constraints

PowerSimulations.FeedforwardSemiContinuousConstraintType

Struct to create the constraint for semicontinuous feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} +\end{align*}\]

source
PowerSimulations.PhaseAngleControlLimitType

Struct to create the constraint that set the angle limits through a PhaseShiftingTransformer.

For more information check Branch Formulations.

The specified constraint is formulated as:

\[\Theta^\text{min} \le \theta^\text{shift}_t \le \Theta^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

source

Feedforward Constraints

PowerSimulations.FeedforwardSemiContinuousConstraintType

Struct to create the constraint for semicontinuous feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} & \text{ActivePowerRangeExpressionUB}_t := p_t^\text{th} - \text{on}_t^\text{th}P^\text{th,max} \le 0, \quad \forall t\in \{1, \dots, T\} \\ & \text{ActivePowerRangeExpressionLB}_t := p_t^\text{th} - \text{on}_t^\text{th}P^\text{th,min} \ge 0, \quad \forall t\in \{1, \dots, T\} -\end{align*}\]

source
PowerSimulations.FeedforwardUpperBoundConstraintType

Struct to create the constraint for upper bound feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} +\end{align*}\]

source
PowerSimulations.FeedforwardUpperBoundConstraintType

Struct to create the constraint for upper bound feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} & \text{AffectedVariable}_t - p_t^\text{ff,ubsl} \le \text{SourceVariableParameter}_t, \quad \forall t \in \{1,\dots, T\} -\end{align*}\]

source
PowerSimulations.FeedforwardLowerBoundConstraintType

Struct to create the constraint for lower bound feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} +\end{align*}\]

source
PowerSimulations.FeedforwardLowerBoundConstraintType

Struct to create the constraint for lower bound feedforward limits.

For more information check Feedforward Formulations.

The specified constraint is formulated as:

\[\begin{align*} & \text{AffectedVariable}_t + p_t^\text{ff,lbsl} \ge \text{SourceVariableParameter}_t, \quad \forall t \in \{1,\dots, T\} -\end{align*}\]

source
  - 

Parameters

Time Series Parameters

PowerSimulations.ActivePowerTimeSeriesParameterType

Parameter to define active power time series

source
PowerSimulations.ReactivePowerTimeSeriesParameterType

Parameter to define reactive power time series

source
PowerSimulations.RequirementTimeSeriesParameterType

Parameter to define requirement time series

source

Variable Value Parameters

PowerSimulations.UpperBoundValueParameterType

Parameter to define variable upper bound

source
PowerSimulations.LowerBoundValueParameterType

Parameter to define variable lower bound

source
PowerSimulations.OnStatusParameterType

Parameter to define unit commitment status

source
PowerSimulations.FixValueParameterType

Parameter to FixValueParameter

source

Objective Function Parameters

PowerSimulations.CostFunctionParameterType

Parameter to define cost function coefficient

source
+\end{align*}\]

source  + 

Parameters

Time Series Parameters

PowerSimulations.ActivePowerTimeSeriesParameterType

Parameter to define active power time series

source
PowerSimulations.ReactivePowerTimeSeriesParameterType

Parameter to define reactive power time series

source
PowerSimulations.RequirementTimeSeriesParameterType

Parameter to define requirement time series

source

Variable Value Parameters

PowerSimulations.UpperBoundValueParameterType

Parameter to define variable upper bound

source
PowerSimulations.LowerBoundValueParameterType

Parameter to define variable lower bound

source
PowerSimulations.OnStatusParameterType

Parameter to define unit commitment status

source
PowerSimulations.FixValueParameterType

Parameter to FixValueParameter

source

Objective Function Parameters

PowerSimulations.CostFunctionParameterType

Parameter to define cost function coefficient

source
diff --git a/previews/PR1130/code_base_developer_guide/developer/index.html b/previews/PR1130/code_base_developer_guide/developer/index.html index 67cb2b852f..8cab350d85 100644 --- a/previews/PR1130/code_base_developer_guide/developer/index.html +++ b/previews/PR1130/code_base_developer_guide/developer/index.html @@ -1,2 +1,2 @@ -Developer Guide · PowerSimulations.jl
+Developer Guide · PowerSimulations.jl
diff --git a/previews/PR1130/code_base_developer_guide/extending_powersimulations/index.html b/previews/PR1130/code_base_developer_guide/extending_powersimulations/index.html index cad72c7a89..1463edf128 100644 --- a/previews/PR1130/code_base_developer_guide/extending_powersimulations/index.html +++ b/previews/PR1130/code_base_developer_guide/extending_powersimulations/index.html @@ -33,4 +33,4 @@ │ 2020-04-07T15:08:32.711 │ InitialConditionUpdateEvent │ 2024-01-02T00:00:00 │ DeviceStatus │ ThermalStandard │ Alta │ 1.0 │ 1 │ │ 2020-04-07T15:08:32.711 │ InitialConditionUpdateEvent │ 2024-01-02T00:00:00 │ DeviceStatus │ ThermalStandard │ Brighton │ 1.0 │ 1 │ │ 2020-04-07T15:08:32.711 │ InitialConditionUpdateEvent │ 2024-01-02T00:00:00 │ DeviceStatus │ ThermalStandard │ Sundance │ 0.0 │ 1 │ -└─────────────────────────┴─────────────────────────────┴─────────────────────┴────────────────────────┴─────────────────┴─────────────┴─────┴──────────────┘ +└─────────────────────────┴─────────────────────────────┴─────────────────────┴────────────────────────┴─────────────────┴─────────────┴─────┴──────────────┘ diff --git a/previews/PR1130/code_base_developer_guide/troubleshooting/index.html b/previews/PR1130/code_base_developer_guide/troubleshooting/index.html index 8131987146..6b1b355db0 100644 --- a/previews/PR1130/code_base_developer_guide/troubleshooting/index.html +++ b/previews/PR1130/code_base_developer_guide/troubleshooting/index.html @@ -1,2 +1,2 @@ -Troubleshooting · PowerSimulations.jl
+Troubleshooting · PowerSimulations.jl
diff --git a/previews/PR1130/formulation_library/Branch/index.html b/previews/PR1130/formulation_library/Branch/index.html index 1382b172ca..a26c97f4f4 100644 --- a/previews/PR1130/formulation_library/Branch/index.html +++ b/previews/PR1130/formulation_library/Branch/index.html @@ -1,13 +1,13 @@ -Branch · PowerSimulations.jl

PowerSystems.Branch Formulations

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Table of contents

  1. StaticBranch
  2. StaticBranchBounds
  3. StaticBranchUnbounded
  4. HVDCTwoTerminalUnbounded
  5. HVDCTwoTerminalLossless
  6. HVDCTwoTerminalDispatch
  7. PhaseAngleControl
  8. Valid configurations

StaticBranch

Formulation valid for PTDFPowerModel Network model

Variables:

If Slack variables are enabled:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)

Objective:

Add a large proportional cost to the objective function if rate constraint slack variables are used $+ (f^\text{sl,up} + f^\text{sl,lo}) \cdot 2 \cdot 10^5$

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} +Branch · PowerSimulations.jl

PowerSystems.Branch Formulations

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Table of contents

  1. StaticBranch
  2. StaticBranchBounds
  3. StaticBranchUnbounded
  4. HVDCTwoTerminalUnbounded
  5. HVDCTwoTerminalLossless
  6. HVDCTwoTerminalDispatch
  7. PhaseAngleControl
  8. Valid configurations

StaticBranch

Formulation valid for PTDFPowerModel Network model

Variables:

If Slack variables are enabled:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)

Objective:

Add a large proportional cost to the objective function if rate constraint slack variables are used $+ (f^\text{sl,up} + f^\text{sl,lo}) \cdot 2 \cdot 10^5$

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} & f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t}, \quad \forall t \in \{1,\dots, T\}\\ & f_t - f_t^\text{sl,up} \le R^\text{max},\quad \forall t \in \{1,\dots, T\} \\ & f_t + f_t^\text{sl,lo} \ge -R^\text{max},\quad \forall t \in \{1,\dots, T\} -\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


StaticBranchBounds

Formulation valid for PTDFPowerModel Network model

Variables:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)

Objective:

No cost is added to the objective function.

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} +\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


StaticBranchBounds

Formulation valid for PTDFPowerModel Network model

Variables:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)

Objective:

No cost is added to the objective function.

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} & f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t}, \quad \forall t \in \{1,\dots, T\} -\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


StaticBranchUnbounded

Formulation valid for PTDFPowerModel Network model

Objective:

No cost is added to the objective function.

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} +\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


StaticBranchUnbounded

Formulation valid for PTDFPowerModel Network model

Objective:

No cost is added to the objective function.

Expressions:

No expressions are used.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} & f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t}, \quad \forall t \in \{1,\dots, T\} -\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


HVDCTwoTerminalUnbounded

Formulation valid for PTDFPowerModel Network model

This model assumes that it can transfer power from two AC buses without losses and no limits.

Variables:

Objective:

No cost is added to the objective function.

Expressions:

The variable FlowActivePowerVariable $f$ is added to the nodal balance expression ActivePowerBalance, by adding the flow $f$ in the receiving bus and subtracting it from the sending bus. This is used then to compute the AC flows using the PTDF equation.

Constraints:

No constraints are added.


HVDCTwoTerminalLossless

Formulation valid for PTDFPowerModel Network model

This model assumes that it can transfer power from two AC buses without losses.

Variables:

Static Parameters

  • $R^\text{from,min}$ = PowerSystems.get_active_power_limits_from(branch).min
  • $R^\text{from,max}$ = PowerSystems.get_active_power_limits_from(branch).max
  • $R^\text{to,min}$ = PowerSystems.get_active_power_limits_to(branch).min
  • $R^\text{to,max}$ = PowerSystems.get_active_power_limits_to(branch).max

Objective:

No cost is added to the objective function.

Expressions:

The variable FlowActivePowerVariable $f$ is added to the nodal balance expression ActivePowerBalance, by adding the flow $f$ in the receiving bus and subtracting it from the sending bus. This is used then to compute the AC flows using the PTDF equation.

Constraints:

\[\begin{align*} +\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


HVDCTwoTerminalUnbounded

Formulation valid for PTDFPowerModel Network model

This model assumes that it can transfer power from two AC buses without losses and no limits.

Variables:

Objective:

No cost is added to the objective function.

Expressions:

The variable FlowActivePowerVariable $f$ is added to the nodal balance expression ActivePowerBalance, by adding the flow $f$ in the receiving bus and subtracting it from the sending bus. This is used then to compute the AC flows using the PTDF equation.

Constraints:

No constraints are added.


HVDCTwoTerminalLossless

Formulation valid for PTDFPowerModel Network model

This model assumes that it can transfer power from two AC buses without losses.

Variables:

Static Parameters

  • $R^\text{from,min}$ = PowerSystems.get_active_power_limits_from(branch).min
  • $R^\text{from,max}$ = PowerSystems.get_active_power_limits_from(branch).max
  • $R^\text{to,min}$ = PowerSystems.get_active_power_limits_to(branch).min
  • $R^\text{to,max}$ = PowerSystems.get_active_power_limits_to(branch).max

Objective:

No cost is added to the objective function.

Expressions:

The variable FlowActivePowerVariable $f$ is added to the nodal balance expression ActivePowerBalance, by adding the flow $f$ in the receiving bus and subtracting it from the sending bus. This is used then to compute the AC flows using the PTDF equation.

Constraints:

\[\begin{align*} & R^\text{min} \le f_t \le R^\text{max},\quad \forall t \in \{1,\dots, T\} \\ \end{align*}\]

where:

\[\begin{align*} & R^\text{min} = \begin{cases} @@ -23,7 +23,7 @@ R^\text{from,max},& \text{if } R^\text{from,max} \le 0 \text{ and } R^\text{to,max} \ge 0 \\ R^\text{to,max},& \text{if } R^\text{from,max} \ge 0 \text{ and } R^\text{to,max} \le 0 \end{cases} -\end{align*}\]


HVDCTwoTerminalDispatch

Formulation valid for PTDFPowerModel Network model

Variables

Static Parameters

  • $R^\text{from,min}$ = PowerSystems.get_active_power_limits_from(branch).min
  • $R^\text{from,max}$ = PowerSystems.get_active_power_limits_from(branch).max
  • $R^\text{to,min}$ = PowerSystems.get_active_power_limits_to(branch).min
  • $R^\text{to,max}$ = PowerSystems.get_active_power_limits_to(branch).max
  • $L_0$ = PowerSystems.get_loss(branch).l0
  • $L_1$ = PowerSystems.get_loss(branch).l1

Objective:

No cost is added to the objective function.

Expressions:

Each FlowActivePowerToFromVariable $f^\text{to-from}$ and FlowActivePowerFromToVariable $f^\text{from-to}$ is added to the nodal balance expression ActivePowerBalance, by adding the respective flow in the receiving bus and subtracting it from the sending bus. That is, $f^\text{to-from}$ adds the flow to the from bus, and subtracts the flow from the to bus, while $f^\text{from-to}$ adds the flow to the to bus, and subtracts the flow from the from bus This is used then to compute the AC flows using the PTDF equation.

In addition, the HVDCLosses are subtracted to the from bus in the ActivePowerBalance expression.

Constraints:

\[\begin{align*} +\end{align*}\]


HVDCTwoTerminalDispatch

Formulation valid for PTDFPowerModel Network model

Variables

Static Parameters

  • $R^\text{from,min}$ = PowerSystems.get_active_power_limits_from(branch).min
  • $R^\text{from,max}$ = PowerSystems.get_active_power_limits_from(branch).max
  • $R^\text{to,min}$ = PowerSystems.get_active_power_limits_to(branch).min
  • $R^\text{to,max}$ = PowerSystems.get_active_power_limits_to(branch).max
  • $L_0$ = PowerSystems.get_loss(branch).l0
  • $L_1$ = PowerSystems.get_loss(branch).l1

Objective:

No cost is added to the objective function.

Expressions:

Each FlowActivePowerToFromVariable $f^\text{to-from}$ and FlowActivePowerFromToVariable $f^\text{from-to}$ is added to the nodal balance expression ActivePowerBalance, by adding the respective flow in the receiving bus and subtracting it from the sending bus. That is, $f^\text{to-from}$ adds the flow to the from bus, and subtracts the flow from the to bus, while $f^\text{from-to}$ adds the flow to the to bus, and subtracts the flow from the from bus This is used then to compute the AC flows using the PTDF equation.

In addition, the HVDCLosses are subtracted to the from bus in the ActivePowerBalance expression.

Constraints:

\[\begin{align*} & R^\text{from,min} \le f_t^\text{from-to} \le R^\text{from,max}, \forall t \in \{1,\dots, T\} \\ & R^\text{to,min} \le f_t^\text{to-from} \le R^\text{to,max},\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{to-from} - f_t^\text{from-to} \le L_1 \cdot f_t^\text{to-from} - L_0,\quad \forall t \in \{1,\dots, T\} \\ @@ -32,7 +32,7 @@ & f_t^\text{to-from} - f_t^\text{from-to} \ge - M^\text{big} u^\text{dir}_t,\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{to-from} - f_t^\text{from-to} \le \ell_t,\quad \forall t \in \{1,\dots, T\} \\ & f_t^\text{from-to} - f_t^\text{to-from} \le \ell_t,\quad \forall t \in \{1,\dots, T\} -\end{align*}\]


PhaseAngleControl

Formulation valid for PTDFPowerModel Network model

Variables:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)
  • $\Theta^\text{min}$ = PowerSystems.get_phase_angle_limits(branch).min
  • $\Theta^\text{max}$ = PowerSystems.get_phase_angle_limits(branch).max
  • $X$ = PowerSystems.get_x(branch) (series reactance)

Objective:

No changes to objective function

Expressions:

Adds to the ActivePowerBalance expression the term $-\theta^\text{shift} /X$ to the from bus and $+\theta^\text{shift} /X$ to the to bus, that the PhaseShiftingTransformer is connected.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} +\end{align*}\]


PhaseAngleControl

Formulation valid for PTDFPowerModel Network model

Variables:

Static Parameters

  • $R^\text{max}$ = PowerSystems.get_rating(branch)
  • $\Theta^\text{min}$ = PowerSystems.get_phase_angle_limits(branch).min
  • $\Theta^\text{max}$ = PowerSystems.get_phase_angle_limits(branch).max
  • $X$ = PowerSystems.get_x(branch) (series reactance)

Objective:

No changes to objective function

Expressions:

Adds to the ActivePowerBalance expression the term $-\theta^\text{shift} /X$ to the from bus and $+\theta^\text{shift} /X$ to the to bus, that the PhaseShiftingTransformer is connected.

Constraints:

For each branch $b \in \{1,\dots, B\}$ (in a system with $N$ buses) the constraints are given by:

\[\begin{aligned} & f_t = \sum_{i=1}^N \text{PTDF}_{i,b} \cdot \text{Bal}_{i,t} + \frac{\theta^\text{shift}_t}{X}, \quad \forall t \in \{1,\dots, T\}\\ & -R^\text{max} \le f_t \le R^\text{max},\quad \forall t \in \{1,\dots, T\} -\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


Valid configurations

Valid DeviceModels for subtypes of Branch include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(PhaseShiftingTransformer, PhaseAngleControl)PhaseShiftingTransformerPhaseAngleControl
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalDispatch)TwoTerminalHVDCLineHVDCTwoTerminalDispatch
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalDispatch)TwoTerminalVSCDCLineHVDCTwoTerminalDispatch
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalLossless)TwoTerminalHVDCLineHVDCTwoTerminalLossless
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalLossless)TwoTerminalVSCDCLineHVDCTwoTerminalLossless
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalUnbounded)TwoTerminalHVDCLineHVDCTwoTerminalUnbounded
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalUnbounded)TwoTerminalVSCDCLineHVDCTwoTerminalUnbounded
DeviceModel(Line, StaticBranch)LineStaticBranch
DeviceModel(MonitoredLine, StaticBranch)MonitoredLineStaticBranch
DeviceModel(PhaseShiftingTransformer, StaticBranch)PhaseShiftingTransformerStaticBranch
DeviceModel(TapTransformer, StaticBranch)TapTransformerStaticBranch
DeviceModel(Transformer2W, StaticBranch)Transformer2WStaticBranch
DeviceModel(TwoTerminalHVDCLine, StaticBranch)TwoTerminalHVDCLineStaticBranch
DeviceModel(TwoTerminalVSCDCLine, StaticBranch)TwoTerminalVSCDCLineStaticBranch
DeviceModel(AreaInterchange, StaticBranch)AreaInterchangeStaticBranch
DeviceModel(Line, StaticBranchBounds)LineStaticBranchBounds
DeviceModel(MonitoredLine, StaticBranchBounds)MonitoredLineStaticBranchBounds
DeviceModel(PhaseShiftingTransformer, StaticBranchBounds)PhaseShiftingTransformerStaticBranchBounds
DeviceModel(TapTransformer, StaticBranchBounds)TapTransformerStaticBranchBounds
DeviceModel(Transformer2W, StaticBranchBounds)Transformer2WStaticBranchBounds
DeviceModel(TwoTerminalHVDCLine, StaticBranchBounds)TwoTerminalHVDCLineStaticBranchBounds
DeviceModel(TwoTerminalVSCDCLine, StaticBranchBounds)TwoTerminalVSCDCLineStaticBranchBounds
DeviceModel(Line, StaticBranchUnbounded)LineStaticBranchUnbounded
DeviceModel(MonitoredLine, StaticBranchUnbounded)MonitoredLineStaticBranchUnbounded
DeviceModel(PhaseShiftingTransformer, StaticBranchUnbounded)PhaseShiftingTransformerStaticBranchUnbounded
DeviceModel(TapTransformer, StaticBranchUnbounded)TapTransformerStaticBranchUnbounded
DeviceModel(Transformer2W, StaticBranchUnbounded)Transformer2WStaticBranchUnbounded
DeviceModel(TwoTerminalHVDCLine, StaticBranchUnbounded)TwoTerminalHVDCLineStaticBranchUnbounded
DeviceModel(TwoTerminalVSCDCLine, StaticBranchUnbounded)TwoTerminalVSCDCLineStaticBranchUnbounded
DeviceModel(AreaInterchange, StaticBranchUnbounded)AreaInterchangeStaticBranchUnbounded
+\end{aligned}\]

on which $\text{PTDF}$ is the $N \times B$ system Power Transfer Distribution Factors (PTDF) matrix, and $\text{Bal}_{i,t}$ is the active power bus balance expression (i.e. $\text{Generation}_{i,t} - \text{Demand}_{i,t}$) at bus $i$ at time-step $t$.


Valid configurations

Valid DeviceModels for subtypes of Branch include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(PhaseShiftingTransformer, PhaseAngleControl)PhaseShiftingTransformerPhaseAngleControl
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalDispatch)TwoTerminalHVDCLineHVDCTwoTerminalDispatch
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalDispatch)TwoTerminalVSCDCLineHVDCTwoTerminalDispatch
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalLossless)TwoTerminalHVDCLineHVDCTwoTerminalLossless
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalLossless)TwoTerminalVSCDCLineHVDCTwoTerminalLossless
DeviceModel(TwoTerminalHVDCLine, HVDCTwoTerminalUnbounded)TwoTerminalHVDCLineHVDCTwoTerminalUnbounded
DeviceModel(TwoTerminalVSCDCLine, HVDCTwoTerminalUnbounded)TwoTerminalVSCDCLineHVDCTwoTerminalUnbounded
DeviceModel(Line, StaticBranch)LineStaticBranch
DeviceModel(MonitoredLine, StaticBranch)MonitoredLineStaticBranch
DeviceModel(PhaseShiftingTransformer, StaticBranch)PhaseShiftingTransformerStaticBranch
DeviceModel(TapTransformer, StaticBranch)TapTransformerStaticBranch
DeviceModel(Transformer2W, StaticBranch)Transformer2WStaticBranch
DeviceModel(TwoTerminalHVDCLine, StaticBranch)TwoTerminalHVDCLineStaticBranch
DeviceModel(TwoTerminalVSCDCLine, StaticBranch)TwoTerminalVSCDCLineStaticBranch
DeviceModel(AreaInterchange, StaticBranch)AreaInterchangeStaticBranch
DeviceModel(Line, StaticBranchBounds)LineStaticBranchBounds
DeviceModel(MonitoredLine, StaticBranchBounds)MonitoredLineStaticBranchBounds
DeviceModel(PhaseShiftingTransformer, StaticBranchBounds)PhaseShiftingTransformerStaticBranchBounds
DeviceModel(TapTransformer, StaticBranchBounds)TapTransformerStaticBranchBounds
DeviceModel(Transformer2W, StaticBranchBounds)Transformer2WStaticBranchBounds
DeviceModel(TwoTerminalHVDCLine, StaticBranchBounds)TwoTerminalHVDCLineStaticBranchBounds
DeviceModel(TwoTerminalVSCDCLine, StaticBranchBounds)TwoTerminalVSCDCLineStaticBranchBounds
DeviceModel(Line, StaticBranchUnbounded)LineStaticBranchUnbounded
DeviceModel(MonitoredLine, StaticBranchUnbounded)MonitoredLineStaticBranchUnbounded
DeviceModel(PhaseShiftingTransformer, StaticBranchUnbounded)PhaseShiftingTransformerStaticBranchUnbounded
DeviceModel(TapTransformer, StaticBranchUnbounded)TapTransformerStaticBranchUnbounded
DeviceModel(Transformer2W, StaticBranchUnbounded)Transformer2WStaticBranchUnbounded
DeviceModel(TwoTerminalHVDCLine, StaticBranchUnbounded)TwoTerminalHVDCLineStaticBranchUnbounded
DeviceModel(TwoTerminalVSCDCLine, StaticBranchUnbounded)TwoTerminalVSCDCLineStaticBranchUnbounded
DeviceModel(AreaInterchange, StaticBranchUnbounded)AreaInterchangeStaticBranchUnbounded
diff --git a/previews/PR1130/formulation_library/Feedforward/index.html b/previews/PR1130/formulation_library/Feedforward/index.html index 939524e558..74f0320fe6 100644 --- a/previews/PR1130/formulation_library/Feedforward/index.html +++ b/previews/PR1130/formulation_library/Feedforward/index.html @@ -4,7 +4,7 @@ source::Type{T}, affected_values::Vector{DataType}, meta = CONTAINER_KEY_EMPTY_META -) where {T}

It allows to enable/disable bounds to 0.0 for a specified variable. Commonly used to limit the ActivePowerVariable in an Economic Dispatch problem by the commitment decision taken in an another problem (typically a Unit Commitment problem).

Arguments:

source

Variables:

No variables are created

Parameters:

Objective:

No changes to the objective function.

Expressions:

Adds $-\text{on}^\text{th}P^\text{th,max}$ to the ActivePowerRangeExpressionUB expression and $-\text{on}^\text{th}P^\text{th,min}$ to the ActivePowerRangeExpressionLB expression.

Constraints:

Limits the ActivePowerRangeExpressionUB and ActivePowerRangeExpressionLB by zero as:

\[\begin{align*} +) where {T}

It allows to enable/disable bounds to 0.0 for a specified variable. Commonly used to limit the ActivePowerVariable in an Economic Dispatch problem by the commitment decision taken in an another problem (typically a Unit Commitment problem).

Arguments:

source

Variables:

No variables are created

Parameters:

Objective:

No changes to the objective function.

Expressions:

Adds $-\text{on}^\text{th}P^\text{th,max}$ to the ActivePowerRangeExpressionUB expression and $-\text{on}^\text{th}P^\text{th,min}$ to the ActivePowerRangeExpressionLB expression.

Constraints:

Limits the ActivePowerRangeExpressionUB and ActivePowerRangeExpressionLB by zero as:

\[\begin{align*} & \text{ActivePowerRangeExpressionUB}_t := p_t^\text{th} - \text{on}_t^\text{th}P^\text{th,max} \le 0, \quad \forall t\in \{1, \dots, T\} \\ & \text{ActivePowerRangeExpressionLB}_t := p_t^\text{th} - \text{on}_t^\text{th}P^\text{th,min} \ge 0, \quad \forall t\in \{1, \dots, T\} \end{align*}\]

Thus, if the commitment parameter is zero, the dispatch is limited to zero, forcing to turn off the generator without introducing binary variables in the economic dispatch problem.


FixValueFeedforward

PowerSimulations.FixValueFeedforwardType
FixValueFeedforward(
@@ -12,7 +12,7 @@
     source::Type{T},
     affected_values::Vector{DataType},
     meta = CONTAINER_KEY_EMPTY_META
-) where {T}

Fixes a Variable or Parameter Value in the model from another problem. Is the only Feed Forward that can be used with a Parameter or a Variable as the affected value.

Arguments:

  • component_type::Type{<:PSY.Component} : Specify the type of component on which the Feedforward will be applied
  • source::Type{T} : Specify the VariableType, ParameterType or AuxVariableType as the source of values for the Feedforward
  • affected_values::Vector{DataType} : Specify the variable on which the fix value will be applied using the source values
source

Variables:

No variables are created

Parameters:

The parameter FixValueParameter is used to match the result obtained from the source variable (from the simulation state).

Objective:

No changes to the objective function.

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be equal to the source parameter store in FixValueParameter

\[\begin{align*} +) where {T}

Fixes a Variable or Parameter Value in the model from another problem. Is the only Feed Forward that can be used with a Parameter or a Variable as the affected value.

Arguments:

source

Variables:

No variables are created

Parameters:

The parameter FixValueParameter is used to match the result obtained from the source variable (from the simulation state).

Objective:

No changes to the objective function.

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be equal to the source parameter store in FixValueParameter

\[\begin{align*} & \text{AffectedVariable}_t = \text{SourceVariableParameter}_t, \quad \forall t \in \{1,\dots, T\} \end{align*}\]


UpperBoundFeedforward

PowerSimulations.UpperBoundFeedforwardType
UpperBoundFeedforward(
     component_type::Type{<:PSY.Component},
@@ -20,7 +20,7 @@
     affected_values::Vector{DataType},
     add_slacks::Bool = false,
     meta = CONTAINER_KEY_EMPTY_META
-) where {T}

Constructs a parameterized upper bound constraint to implement feedforward from other models.

Arguments:

  • component_type::Type{<:PSY.Component} : Specify the type of component on which the Feedforward will be applied
  • source::Type{T} : Specify the VariableType, ParameterType or AuxVariableType as the source of values for the Feedforward
  • affected_values::Vector{DataType} : Specify the variable on which the upper bound will be applied using the source values
  • add_slacks::Bool = false : Add slacks variables to relax the upper bound constraint.
source

Variables:

If slack variables are enabled:

Parameters:

The parameter UpperBoundValueParameter stores the result obtained from the source variable (from the simulation state) that will be used as an upper bound to the affected variable.

Objective:

The slack variable is added to the objective function using its large default cost $+ p^\text{ff,ubsl} \cdot 10^6$

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be lower than the source parameter store in UpperBoundValueParameter.

\[\begin{align*} +) where {T}

Constructs a parameterized upper bound constraint to implement feedforward from other models.

Arguments:

source

Variables:

If slack variables are enabled:

Parameters:

The parameter UpperBoundValueParameter stores the result obtained from the source variable (from the simulation state) that will be used as an upper bound to the affected variable.

Objective:

The slack variable is added to the objective function using its large default cost $+ p^\text{ff,ubsl} \cdot 10^6$

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be lower than the source parameter store in UpperBoundValueParameter.

\[\begin{align*} & \text{AffectedVariable}_t - p_t^\text{ff,ubsl} \le \text{SourceVariableParameter}_t, \quad \forall t \in \{1,\dots, T\} \end{align*}\]


LowerBoundFeedforward

PowerSimulations.LowerBoundFeedforwardType
LowerBoundFeedforward(
     component_type::Type{<:PSY.Component},
@@ -28,6 +28,6 @@
     affected_values::Vector{DataType},
     add_slacks::Bool = false,
     meta = CONTAINER_KEY_EMPTY_META
-) where {T}

Constructs a parameterized lower bound constraint to implement feedforward from other models.

Arguments:

  • component_type::Type{<:PSY.Component} : Specify the type of component on which the Feedforward will be applied
  • source::Type{T} : Specify the VariableType, ParameterType or AuxVariableType as the source of values for the Feedforward
  • affected_values::Vector{DataType} : Specify the variable on which the lower bound will be applied using the source values
  • add_slacks::Bool = false : Add slacks variables to relax the lower bound constraint.
source

Variables:

If slack variables are enabled:

Parameters:

The parameter LowerBoundValueParameter stores the result obtained from the source variable (from the simulation state) that will be used as a lower bound to the affected variable.

Objective:

The slack variable is added to the objective function using its large default cost $+ p^\text{ff,lbsl} \cdot 10^6$

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be greater than the source parameter store in LowerBoundValueParameter.

\[\begin{align*} +) where {T}

Constructs a parameterized lower bound constraint to implement feedforward from other models.

Arguments:

source

Variables:

If slack variables are enabled:

Parameters:

The parameter LowerBoundValueParameter stores the result obtained from the source variable (from the simulation state) that will be used as a lower bound to the affected variable.

Objective:

The slack variable is added to the objective function using its large default cost $+ p^\text{ff,lbsl} \cdot 10^6$

Expressions:

No changes on expressions.

Constraints:

Set the VariableType from the affected_values to be greater than the source parameter store in LowerBoundValueParameter.

\[\begin{align*} & \text{AffectedVariable}_t + p_t^\text{ff,lbsl} \ge \text{SourceVariableParameter}_t, \quad \forall t \in \{1,\dots, T\} -\end{align*}\]

+\end{align*}\]

diff --git a/previews/PR1130/formulation_library/General/index.html b/previews/PR1130/formulation_library/General/index.html index 8ac5ba0afc..b8b39aca08 100644 --- a/previews/PR1130/formulation_library/General/index.html +++ b/previews/PR1130/formulation_library/General/index.html @@ -1,5 +1,5 @@ -General · PowerSimulations.jl

Formulations

Modeling formulations are created by dispatching on abstract subtypes of PowerSimulations.AbstractDeviceFormulation

FixedOutput

Variables:

No variables are created for DeviceModel(<:DeviceType, FixedOutput)

Static Parameters:

  • ThermalGen:
    • $P^\text{th,max}$ = PowerSystems.get_max_active_power(device)
    • $Q^\text{th,max}$ = PowerSystems.get_max_reactive_power(device)
  • Storage:
    • $P^\text{st,max}$ = PowerSystems.get_max_active_power(device)
    • $Q^\text{st,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

Device TypeParameterDefault Time Series Name
RenewableGenActivePowerTimeSeriesParametermax_active_power
RenewableGenReactivePowerTimeSeriesParametermax_active_power
HydroGenActivePowerTimeSeriesParametermax_active_power
HydroGenReactivePowerTimeSeriesParametermax_active_power
ElectricLoadActivePowerTimeSeriesParametermax_active_power
ElectricLoadReactivePowerTimeSeriesParametermax_active_power

Objective:

No objective terms are created for DeviceModel(<:DeviceType, FixedOutput)

Expressions:

Adds the active and reactive parameters listed for specific device types above to the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

No constraints are created for DeviceModel(<:DeviceType, FixedOutput)


FunctionData Options

PowerSimulations can represent variable costs using a variety of different methods depending on the data available in each device. The following describes the objective function terms that are populated for each variable cost option.

LinearFunctionData

variable_cost = LinearFunctionData(c): creates a fixed marginal cost term in the objective function

\[\begin{aligned} +General · PowerSimulations.jl

Formulations

Modeling formulations are created by dispatching on abstract subtypes of PowerSimulations.AbstractDeviceFormulation

FixedOutput

Variables:

No variables are created for DeviceModel(<:DeviceType, FixedOutput)

Static Parameters:

  • ThermalGen:
    • $P^\text{th,max}$ = PowerSystems.get_max_active_power(device)
    • $Q^\text{th,max}$ = PowerSystems.get_max_reactive_power(device)
  • Storage:
    • $P^\text{st,max}$ = PowerSystems.get_max_active_power(device)
    • $Q^\text{st,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

Device TypeParameterDefault Time Series Name
RenewableGenReactivePowerTimeSeriesParametermax_active_power
RenewableGenActivePowerTimeSeriesParametermax_active_power
HydroGenReactivePowerTimeSeriesParametermax_active_power
HydroGenActivePowerTimeSeriesParametermax_active_power
ElectricLoadReactivePowerTimeSeriesParametermax_active_power
ElectricLoadActivePowerTimeSeriesParametermax_active_power

Objective:

No objective terms are created for DeviceModel(<:DeviceType, FixedOutput)

Expressions:

Adds the active and reactive parameters listed for specific device types above to the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

No constraints are created for DeviceModel(<:DeviceType, FixedOutput)


FunctionData Options

PowerSimulations can represent variable costs using a variety of different methods depending on the data available in each device. The following describes the objective function terms that are populated for each variable cost option.

LinearFunctionData

variable_cost = LinearFunctionData(c): creates a fixed marginal cost term in the objective function

\[\begin{aligned} & \text{min} \sum_{t} c * G_t \end{aligned}\]

QuadraticFunctionData and PolynomialFunctionData

variable_cost::QuadraticFunctionData and variable_cost::PolynomialFunctionData: create a polynomial cost term in the objective function

\[\begin{aligned} & \text{min} \sum_{t} \sum_{n} C_n * G_t^n @@ -7,4 +7,4 @@ & \text{min} \sum_{t} f(G_t) \end{aligned}\]

where

  • For variable_cost::PiecewiseLinearData, $f(x)$ is the piecewise linear function obtained by connecting the (x, y) points get_points(variable_cost) in order.
  • For variable_cost = PiecewiseLinearSlopeData([x0, x1, x2, ...], y0, [s0, s1, s2, ...]), $f(x)$ is the piecewise linear function obtained by starting at (x0, y0), drawing a segment at slope s0 to x=x1, drawing a segment at slope s1 to x=x2, etc.

StorageCost

Adds an objective function cost term according to:

\[\begin{aligned} & \text{min} \sum_{t} \quad [E^{surplus}_t * C^{penalty} - E^{shortage}_t * C^{value}] -\end{aligned}\]

Impact of different cost configurations:

The following table describes all possible configurations of the StorageCost with the target constraint in hydro or storage device models. Cases 1(a) & 2(a) will not impact the model's operations, and the target constraint will be rendered useless. In most cases that have no energy target and a non-zero value for $C^{value}$, if this cost is too high ($C^{value} >> 0$) or too low ($C^{value} <<0$) can result in either the model holding on to stored energy till the end of the model not storing any energy in the device. This is caused by the fact that when the energy target is zero, we have $E_t = - E^{shortage}_t$, and $- E^{shortage}_t * C^{value}$ in the objective function is replaced by $E_t * C^{value}$, thus resulting in $C^{value}$ to be seen as the cost of stored energy.

CaseEnergy TargetEnergy Shortage CostEnergy Value / Energy Surplus costEffect
Case 1(a)$\hat{E}=0$$C^{penalty}=0$$C^{value}=0$no change
Case 1(b)$\hat{E}=0$$C^{penalty}=0$$C^{value}<0$penalty for storing energy
Case 1(c)$\hat{E}=0$$C^{penalty}>0$$C^{value}=0$no penalties or incentives applied
Case 1(d)$\hat{E}=0$$C^{penalty}=0$$C^{value}>0$incentive for storing energy
Case 1(e)$\hat{E}=0$$C^{penalty}>0$$C^{value}<0$penalty for storing energy
Case 1(f)$\hat{E}=0$$C^{penalty}>0$$C^{value}>0$incentive for storing energy
Case 2(a)$\hat{E}>0$$C^{penalty}=0$$C^{value}=0$no change
Case 2(b)$\hat{E}>0$$C^{penalty}=0$$C^{value}<0$penalty on energy storage in excess of target
Case 2(c)$\hat{E}>0$$C^{penalty}>0$$C^{value}=0$penalty on energy storage short of target
Case 2(d)$\hat{E}>0$$C^{penalty}=0$$C^{value}>0$incentive on excess energy
Case 2(e)$\hat{E}>0$$C^{penalty}>0$$C^{value}<0$penalty on both excess/shortage of energy
Case 2(f)$\hat{E}>0$$C^{penalty}>0$$C^{value}>0$penalty for shortage, incentive for excess energy
+\end{aligned}\]

Impact of different cost configurations:

The following table describes all possible configurations of the StorageCost with the target constraint in hydro or storage device models. Cases 1(a) & 2(a) will not impact the model's operations, and the target constraint will be rendered useless. In most cases that have no energy target and a non-zero value for $C^{value}$, if this cost is too high ($C^{value} >> 0$) or too low ($C^{value} <<0$) can result in either the model holding on to stored energy till the end of the model not storing any energy in the device. This is caused by the fact that when the energy target is zero, we have $E_t = - E^{shortage}_t$, and $- E^{shortage}_t * C^{value}$ in the objective function is replaced by $E_t * C^{value}$, thus resulting in $C^{value}$ to be seen as the cost of stored energy.

CaseEnergy TargetEnergy Shortage CostEnergy Value / Energy Surplus costEffect
Case 1(a)$\hat{E}=0$$C^{penalty}=0$$C^{value}=0$no change
Case 1(b)$\hat{E}=0$$C^{penalty}=0$$C^{value}<0$penalty for storing energy
Case 1(c)$\hat{E}=0$$C^{penalty}>0$$C^{value}=0$no penalties or incentives applied
Case 1(d)$\hat{E}=0$$C^{penalty}=0$$C^{value}>0$incentive for storing energy
Case 1(e)$\hat{E}=0$$C^{penalty}>0$$C^{value}<0$penalty for storing energy
Case 1(f)$\hat{E}=0$$C^{penalty}>0$$C^{value}>0$incentive for storing energy
Case 2(a)$\hat{E}>0$$C^{penalty}=0$$C^{value}=0$no change
Case 2(b)$\hat{E}>0$$C^{penalty}=0$$C^{value}<0$penalty on energy storage in excess of target
Case 2(c)$\hat{E}>0$$C^{penalty}>0$$C^{value}=0$penalty on energy storage short of target
Case 2(d)$\hat{E}>0$$C^{penalty}=0$$C^{value}>0$incentive on excess energy
Case 2(e)$\hat{E}>0$$C^{penalty}>0$$C^{value}<0$penalty on both excess/shortage of energy
Case 2(f)$\hat{E}>0$$C^{penalty}>0$$C^{value}>0$penalty for shortage, incentive for excess energy
diff --git a/previews/PR1130/formulation_library/Introduction/index.html b/previews/PR1130/formulation_library/Introduction/index.html index b1d1928a01..6ba21ef435 100644 --- a/previews/PR1130/formulation_library/Introduction/index.html +++ b/previews/PR1130/formulation_library/Introduction/index.html @@ -12,4 +12,4 @@ & \hspace{0.9cm} p_t^\text{th} + p_t^\text{re} = P_t^\text{load}, \quad \forall t \in {1,\dots, 48} \\ & \hspace{0.9cm} 0 \le p_t^\text{th} \le P^\text{th,max} \\ & \hspace{0.9cm} 0 \le p_t^\text{re} \le \text{ActivePowerTimeSeriesParameter}_t -\end{align*}\]

Note that the StaticPowerLoad does not impose any cost to the objective function or constraint but adds its power demand to the supply-balance demand of the CopperPlatePowerModel used. Since we are using the ThermalDispatchNoMin formulation for the thermal generation, the lower bound for the power is 0, instead of $P^\text{th,min}$. In addition, we are assuming a linear cost $C^\text{th}$. Finally, the RenewableFullDispatch formulation allows the dispatch of the renewable unit between 0 and its maximum injection time series $p_t^\text{re,param}$.

Nomenclature

In the formulations described in the other pages, the nomenclature is as follows:

+\end{align*}\]

Note that the StaticPowerLoad does not impose any cost to the objective function or constraint but adds its power demand to the supply-balance demand of the CopperPlatePowerModel used. Since we are using the ThermalDispatchNoMin formulation for the thermal generation, the lower bound for the power is 0, instead of $P^\text{th,min}$. In addition, we are assuming a linear cost $C^\text{th}$. Finally, the RenewableFullDispatch formulation allows the dispatch of the renewable unit between 0 and its maximum injection time series $p_t^\text{re,param}$.

Nomenclature

In the formulations described in the other pages, the nomenclature is as follows:

diff --git a/previews/PR1130/formulation_library/Load/index.html b/previews/PR1130/formulation_library/Load/index.html index 5c223637d4..d3370d5598 100644 --- a/previews/PR1130/formulation_library/Load/index.html +++ b/previews/PR1130/formulation_library/Load/index.html @@ -1,8 +1,8 @@ -Load · PowerSimulations.jl

PowerSystems.ElectricLoad Formulations

Electric load formulations define the optimization models that describe load units (demand) mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Table of contents

  1. StaticPowerLoad
  2. PowerLoadInterruption
  3. PowerLoadDispatch
  4. Valid configurations

StaticPowerLoad

Variables:

No variables are created

Time Series Parameters:

Uses the max_active_power timeseries parameter to determine the demand value at each time-step

ParameterDefault Time Series Name
ActivePowerTimeSeriesParametermax_active_power
ReactivePowerTimeSeriesParametermax_active_power

Expressions:

Subtracts the parameters listed above from the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

No constraints are created


PowerLoadInterruption

Variables:

Static Parameters:

  • $P^\text{ld,max}$ = PowerSystems.get_max_active_power(device)
  • $Q^\text{ld,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

ParameterDefault Time Series Name
ActivePowerTimeSeriesParametermax_active_power
ReactivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $p^\text{ld}$.

Expressions:

  • Subtract$p^\text{ld}$ and $q^\text{ld}$ terms and to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} +Load · PowerSimulations.jl

PowerSystems.ElectricLoad Formulations

Electric load formulations define the optimization models that describe load units (demand) mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Table of contents

  1. StaticPowerLoad
  2. PowerLoadInterruption
  3. PowerLoadDispatch
  4. Valid configurations

StaticPowerLoad

Variables:

No variables are created

Time Series Parameters:

Uses the max_active_power timeseries parameter to determine the demand value at each time-step

ParameterDefault Time Series Name
ReactivePowerTimeSeriesParametermax_active_power
ActivePowerTimeSeriesParametermax_active_power

Expressions:

Subtracts the parameters listed above from the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

No constraints are created


PowerLoadInterruption

Variables:

Static Parameters:

  • $P^\text{ld,max}$ = PowerSystems.get_max_active_power(device)
  • $Q^\text{ld,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

ParameterDefault Time Series Name
ReactivePowerTimeSeriesParametermax_active_power
ActivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $p^\text{ld}$.

Expressions:

  • Subtract$p^\text{ld}$ and $q^\text{ld}$ terms and to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} & p_t^\text{ld} \le u_t^\text{ld} \cdot \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\} \\ & q_t^\text{re} = \text{pf} \cdot p_t^\text{re}, \quad \forall t \in \{1,\dots, T\} -\end{aligned}\]

on which $\text{pf} = \sin(\arctan(Q^\text{ld,max}/P^\text{ld,max}))$.


PowerLoadDispatch

Variables:

  • ActivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_active_power(device)
    • Symbol: $p^\text{ld}$
  • ReactivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_reactive_power(device)
    • Symbol: $q^\text{ld}$

Static Parameters:

  • $P^\text{ld,max}$ = PowerSystems.get_max_active_power(device)
  • $Q^\text{ld,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

ParameterDefault Time Series Name
ActivePowerTimeSeriesParametermax_active_power
ReactivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $p^\text{ld}$.

Expressions:

  • Subtract$p^\text{ld}$ and $q^\text{ld}$ terms and to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} +\end{aligned}\]

on which $\text{pf} = \sin(\arctan(Q^\text{ld,max}/P^\text{ld,max}))$.


PowerLoadDispatch

Variables:

  • ActivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_active_power(device)
    • Symbol: $p^\text{ld}$
  • ReactivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_reactive_power(device)
    • Symbol: $q^\text{ld}$

Static Parameters:

  • $P^\text{ld,max}$ = PowerSystems.get_max_active_power(device)
  • $Q^\text{ld,max}$ = PowerSystems.get_max_reactive_power(device)

Time Series Parameters:

ParameterDefault Time Series Name
ReactivePowerTimeSeriesParametermax_active_power
ActivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $p^\text{ld}$.

Expressions:

  • Subtract$p^\text{ld}$ and $q^\text{ld}$ terms and to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} & p_t^\text{ld} \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\}\\ & q_t^\text{ld} = \text{pf} \cdot p_t^\text{ld}, \quad \forall t \in \{1,\dots, T\}\\ -\end{aligned}\]

on which $\text{pf} = \sin(\arctan(Q^\text{ld,max}/P^\text{ld,max}))$.

Valid configurations

Valid DeviceModels for subtypes of ElectricLoad include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(InterruptiblePowerLoad, PowerLoadDispatch)InterruptiblePowerLoadPowerLoadDispatch
DeviceModel(ExponentialLoad, PowerLoadDispatch)ExponentialLoadPowerLoadDispatch
DeviceModel(PowerLoad, PowerLoadDispatch)PowerLoadPowerLoadDispatch
DeviceModel(StandardLoad, PowerLoadDispatch)StandardLoadPowerLoadDispatch
DeviceModel(InterruptiblePowerLoad, PowerLoadInterruption)InterruptiblePowerLoadPowerLoadInterruption
DeviceModel(ExponentialLoad, PowerLoadInterruption)ExponentialLoadPowerLoadInterruption
DeviceModel(PowerLoad, PowerLoadInterruption)PowerLoadPowerLoadInterruption
DeviceModel(StandardLoad, PowerLoadInterruption)StandardLoadPowerLoadInterruption
DeviceModel(FixedAdmittance, StaticPowerLoad)FixedAdmittanceStaticPowerLoad
DeviceModel(InterruptiblePowerLoad, StaticPowerLoad)InterruptiblePowerLoadStaticPowerLoad
DeviceModel(ExponentialLoad, StaticPowerLoad)ExponentialLoadStaticPowerLoad
DeviceModel(PowerLoad, StaticPowerLoad)PowerLoadStaticPowerLoad
DeviceModel(StandardLoad, StaticPowerLoad)StandardLoadStaticPowerLoad
DeviceModel(SwitchedAdmittance, StaticPowerLoad)SwitchedAdmittanceStaticPowerLoad
+\end{aligned}\]

on which $\text{pf} = \sin(\arctan(Q^\text{ld,max}/P^\text{ld,max}))$.

Valid configurations

Valid DeviceModels for subtypes of ElectricLoad include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(InterruptiblePowerLoad, PowerLoadDispatch)InterruptiblePowerLoadPowerLoadDispatch
DeviceModel(ExponentialLoad, PowerLoadDispatch)ExponentialLoadPowerLoadDispatch
DeviceModel(PowerLoad, PowerLoadDispatch)PowerLoadPowerLoadDispatch
DeviceModel(StandardLoad, PowerLoadDispatch)StandardLoadPowerLoadDispatch
DeviceModel(InterruptiblePowerLoad, PowerLoadInterruption)InterruptiblePowerLoadPowerLoadInterruption
DeviceModel(ExponentialLoad, PowerLoadInterruption)ExponentialLoadPowerLoadInterruption
DeviceModel(PowerLoad, PowerLoadInterruption)PowerLoadPowerLoadInterruption
DeviceModel(StandardLoad, PowerLoadInterruption)StandardLoadPowerLoadInterruption
DeviceModel(FixedAdmittance, StaticPowerLoad)FixedAdmittanceStaticPowerLoad
DeviceModel(InterruptiblePowerLoad, StaticPowerLoad)InterruptiblePowerLoadStaticPowerLoad
DeviceModel(ExponentialLoad, StaticPowerLoad)ExponentialLoadStaticPowerLoad
DeviceModel(PowerLoad, StaticPowerLoad)PowerLoadStaticPowerLoad
DeviceModel(StandardLoad, StaticPowerLoad)StandardLoadStaticPowerLoad
DeviceModel(SwitchedAdmittance, StaticPowerLoad)SwitchedAdmittanceStaticPowerLoad
diff --git a/previews/PR1130/formulation_library/Network/index.html b/previews/PR1130/formulation_library/Network/index.html index c83648ada5..724cfa257b 100644 --- a/previews/PR1130/formulation_library/Network/index.html +++ b/previews/PR1130/formulation_library/Network/index.html @@ -1,8 +1,8 @@ -Network · PowerSimulations.jl

Network Formulations

Network formulations are used to describe how the network and buses are handled when constructing constraints. The most common constraint decided by the network formulation is the supply-demand balance constraint. Available Network Models are:

FormulationDescription
CopperPlatePowerModelCopper plate connection between all components, i.e. infinite transmission capacity
AreaBalancePowerModelNetwork model approximation to represent inter-area flow with each area represented as a single node
PTDFPowerModelUses the PTDF factor matrix to compute the fraction of power transferred in the network across the branches
AreaPTDFPowerModelUses the PTDF factor matrix to compute the fraction of power transferred in the network across the branches and balances power by Area instead of system-wide

PowerModels.jl available formulations:

  • Exact non-convex models: ACPPowerModel, ACRPowerModel, ACTPowerModel.
  • Linear approximations: DCPPowerModel, NFAPowerModel.
  • Quadratic approximations: DCPLLPowerModel, LPACCPowerModel
  • Quadratic relaxations: SOCWRPowerModel, SOCWRConicPowerModel, SOCBFPowerModel, SOCBFConicPowerModel, QCRMPowerModel, QCLSPowerModel.
  • SDP relaxations: SDPWRMPowerModel, SparseSDPWRMPowerModel.

All of these formulations are described in the PowerModels.jl documentation and will not be described here.


CopperPlatePowerModel

Variables:

If Slack variables are enabled:

  • SystemBalanceSlackUp:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ (p^\text{sl,up} + p^\text{sl,dn}) \cdot 10^6$

Expressions:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective active power balance expressions ActivePowerBalance created by this CopperPlatePowerModel network formulation.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in the system

\[\begin{align} +Network · PowerSimulations.jl

Network Formulations

Network formulations are used to describe how the network and buses are handled when constructing constraints. The most common constraint decided by the network formulation is the supply-demand balance constraint. Available Network Models are:

FormulationDescription
CopperPlatePowerModelCopper plate connection between all components, i.e. infinite transmission capacity
AreaBalancePowerModelNetwork model approximation to represent inter-area flow with each area represented as a single node
PTDFPowerModelUses the PTDF factor matrix to compute the fraction of power transferred in the network across the branches
AreaPTDFPowerModelUses the PTDF factor matrix to compute the fraction of power transferred in the network across the branches and balances power by Area instead of system-wide

PowerModels.jl available formulations:

  • Exact non-convex models: ACPPowerModel, ACRPowerModel, ACTPowerModel.
  • Linear approximations: DCPPowerModel, NFAPowerModel.
  • Quadratic approximations: DCPLLPowerModel, LPACCPowerModel
  • Quadratic relaxations: SOCWRPowerModel, SOCWRConicPowerModel, SOCBFPowerModel, SOCBFConicPowerModel, QCRMPowerModel, QCLSPowerModel.
  • SDP relaxations: SDPWRMPowerModel, SparseSDPWRMPowerModel.

All of these formulations are described in the PowerModels.jl documentation and will not be described here.


CopperPlatePowerModel

Variables:

If Slack variables are enabled:

  • SystemBalanceSlackUp:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ (p^\text{sl,up} + p^\text{sl,dn}) \cdot 10^6$

Expressions:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective active power balance expressions ActivePowerBalance created by this CopperPlatePowerModel network formulation.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in the system

\[\begin{align} & \sum_{c \in \text{components}} p_t^c = 0, \quad \forall t \in \{1, \dots, T\} -\end{align}\]


AreaBalancePowerModel

Variables: If Slack variables are enabled:

  • SystemBalanceSlackUp by area:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown by area:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective active power balance expressions ActivePowerBalance per area.

Expressions:

Creates ActivePowerBalance expressions for each area that then are used to balance active power for all buses within a single area.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in an area.

\[\begin{align} +\end{align}\]


AreaBalancePowerModel

Variables: If Slack variables are enabled:

  • SystemBalanceSlackUp by area:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown by area:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective active power balance expressions ActivePowerBalance per area.

Expressions:

Creates ActivePowerBalance expressions for each area that then are used to balance active power for all buses within a single area.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in an area.

\[\begin{align} & \sum_{c \in \text{components}_a} p_t^c = 0, \quad \forall a\in \{1,\dots, A\}, t \in \{1, \dots, T\} -\end{align}\]


PTDFPowerModel

Variables:

If Slack variables are enabled:

  • SystemBalanceSlackUp:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ (p^\text{sl,up} + p^\text{sl,dn}) \cdot 10^6$

Expressions:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective system-wide active power balance expressions ActivePowerBalance created by this CopperPlatePowerModel network formulation. In addition, it creates ActivePowerBalance expressions for each bus to be used in the calculation of branch flows.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in the system

\[\begin{align} +\end{align}\]


PTDFPowerModel

Variables:

If Slack variables are enabled:

  • SystemBalanceSlackUp:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,up}$
  • SystemBalanceSlackDown:
    • Bounds: [0.0, ]
    • Default initial value: 0.0
    • Default proportional cost: 1e6
    • Symbol: $p^\text{sl,dn}$

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ (p^\text{sl,up} + p^\text{sl,dn}) \cdot 10^6$

Expressions:

Adds $p^\text{sl,up}$ and $p^\text{sl,dn}$ terms to the respective system-wide active power balance expressions ActivePowerBalance created by this CopperPlatePowerModel network formulation. In addition, it creates ActivePowerBalance expressions for each bus to be used in the calculation of branch flows.

Constraints:

Adds the CopperPlateBalanceConstraint to balance the active power of all components available in the system

\[\begin{align} & \sum_{c \in \text{components}} p_t^c = 0, \quad \forall t \in \{1, \dots, T\} -\end{align}\]

In addition creates NodalBalanceActiveConstraint for HVDC buses balance, if DC components are connected to an HVDC network.

+\end{align}\]

In addition creates NodalBalanceActiveConstraint for HVDC buses balance, if DC components are connected to an HVDC network.

diff --git a/previews/PR1130/formulation_library/Piecewise/index.html b/previews/PR1130/formulation_library/Piecewise/index.html index 0a24e6b464..a4c1dd2c1e 100644 --- a/previews/PR1130/formulation_library/Piecewise/index.html +++ b/previews/PR1130/formulation_library/Piecewise/index.html @@ -27,4 +27,4 @@ & \sum_{k \in \mathcal{K}} \delta_{k,t} = \text{on}_{t} & \forall t \in \mathcal{T}\\ & 0 \leq \Delta p_{t} \leq \left( P^{\text{max}} - P^{\text{min}} \right)\text{on}_{t} & \forall t \in \mathcal{T}\\ &\left \{\delta_{i,t} \dots \delta_{k,t} \right \} \in \text{SOS}_{2} & \forall t \in \mathcal{T} -\end{align*}\]

on which $\delta_{k,t} \in [0,1]$ is the interpolation variable, $\Delta p$ is the active power of the generator above the minimum power and $u \in \{0,1\}$ is the commitment variable of the generator. In the case of a PWL convex costs, i.e. increasing slopes, the SOS constraint is omitted.

+\end{align*}\]

on which $\delta_{k,t} \in [0,1]$ is the interpolation variable, $\Delta p$ is the active power of the generator above the minimum power and $u \in \{0,1\}$ is the commitment variable of the generator. In the case of a PWL convex costs, i.e. increasing slopes, the SOS constraint is omitted.

diff --git a/previews/PR1130/formulation_library/README/index.html b/previews/PR1130/formulation_library/README/index.html index 84cd21a595..7d93ebdf3f 100644 --- a/previews/PR1130/formulation_library/README/index.html +++ b/previews/PR1130/formulation_library/README/index.html @@ -1,2 +1,2 @@ -Formulation documentation guide · PowerSimulations.jl

Formulation documentation guide

Formulation documentation should roughly follow the template established by RenewableGen.md

Auto generated items

  • Valid DeviceModel table: just change the device category in the filter function
  • Time Series Parameters: just change the device category and formulation in the get_default_time_series_names method call

Linked items

  • Formulations in the Valid DeviceModel table must have a docstring in src/core/formulations.jl
  • The Formulation in the @docs block must have a docstring in src/core/formulations.jl
  • The Variables must have docstrings in src/core/variables.jl
  • The Time Series Parameters must have docstrings in src/core/parameters.jl
+Formulation documentation guide · PowerSimulations.jl

Formulation documentation guide

Formulation documentation should roughly follow the template established by RenewableGen.md

Auto generated items

  • Valid DeviceModel table: just change the device category in the filter function
  • Time Series Parameters: just change the device category and formulation in the get_default_time_series_names method call

Linked items

  • Formulations in the Valid DeviceModel table must have a docstring in src/core/formulations.jl
  • The Formulation in the @docs block must have a docstring in src/core/formulations.jl
  • The Variables must have docstrings in src/core/variables.jl
  • The Time Series Parameters must have docstrings in src/core/parameters.jl
diff --git a/previews/PR1130/formulation_library/RenewableGen/index.html b/previews/PR1130/formulation_library/RenewableGen/index.html index 33ea061df9..909f6a064a 100644 --- a/previews/PR1130/formulation_library/RenewableGen/index.html +++ b/previews/PR1130/formulation_library/RenewableGen/index.html @@ -1,8 +1,8 @@ -Renewable Generation · PowerSimulations.jl

PowerSystems.RenewableGen Formulations

Renewable generation formulations define the optimization models that describe renewable units mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Note

Reserve variables for services are not included in the formulation, albeit their inclusion change the variables, expressions, constraints and objective functions created. A detailed description of the implications in the optimization models is described in the Service formulation section.

Table of contents

  1. RenewableFullDispatch
  2. RenewableConstantPowerFactor
  3. Valid configurations

RenewableFullDispatch

Variables:

Static Parameters:

  • $P^\text{re,min}$ = PowerSystems.get_active_power_limits(device).min
  • $Q^\text{re,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{re,max}$ = PowerSystems.get_reactive_power_limits(device).max

Time Series Parameters:

Uses the max_active_power timeseries parameter to limit the available active power at each time-step.

ParameterDefault Time Series Name
ActivePowerTimeSeriesParametermax_active_power
ReactivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p^\text{re}$ to incentivize generation from RenewableGen devices.

Expressions:

Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

\[\begin{aligned} +Renewable Generation · PowerSimulations.jl

PowerSystems.RenewableGen Formulations

Renewable generation formulations define the optimization models that describe renewable units mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Note

Reserve variables for services are not included in the formulation, albeit their inclusion change the variables, expressions, constraints and objective functions created. A detailed description of the implications in the optimization models is described in the Service formulation section.

Table of contents

  1. RenewableFullDispatch
  2. RenewableConstantPowerFactor
  3. Valid configurations

RenewableFullDispatch

Variables:

Static Parameters:

  • $P^\text{re,min}$ = PowerSystems.get_active_power_limits(device).min
  • $Q^\text{re,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{re,max}$ = PowerSystems.get_reactive_power_limits(device).max

Time Series Parameters:

Uses the max_active_power timeseries parameter to limit the available active power at each time-step.

ParameterDefault Time Series Name
ReactivePowerTimeSeriesParametermax_active_power
ActivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p^\text{re}$ to incentivize generation from RenewableGen devices.

Expressions:

Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations.

Constraints:

\[\begin{aligned} & P^\text{re,min} \le p_t^\text{re} \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\} \\ & Q^\text{re,min} \le q_t^\text{re} \le Q^\text{re,max}, \quad \forall t \in \{1,\dots, T\} -\end{aligned}\]


RenewableConstantPowerFactor

Variables:

  • ActivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_active_power(device)
    • Symbol: $p^\text{re}$
  • ReactivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_reactive_power(device)
    • Symbol: $q^\text{re}$

Static Parameters:

  • $P^\text{re,min}$ = PowerSystems.get_active_power_limits(device).min
  • $Q^\text{re,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{re,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $\text{pf}$ = PowerSystems.get_power_factor(device)

Time Series Parameters:

ParameterDefault Time Series Name
ActivePowerTimeSeriesParametermax_active_power
ReactivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p_t^\text{re}$ to incentivize generation from RenewableGen devices.

Expressions:

Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} +\end{aligned}\]


RenewableConstantPowerFactor

Variables:

  • ActivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_active_power(device)
    • Symbol: $p^\text{re}$
  • ReactivePowerVariable:
    • Bounds: [0.0, ]
    • Default initial value: PowerSystems.get_reactive_power(device)
    • Symbol: $q^\text{re}$

Static Parameters:

  • $P^\text{re,min}$ = PowerSystems.get_active_power_limits(device).min
  • $Q^\text{re,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{re,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $\text{pf}$ = PowerSystems.get_power_factor(device)

Time Series Parameters:

ParameterDefault Time Series Name
ReactivePowerTimeSeriesParametermax_active_power
ActivePowerTimeSeriesParametermax_active_power

Objective:

Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p_t^\text{re}$ to incentivize generation from RenewableGen devices.

Expressions:

Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations

Constraints:

\[\begin{aligned} & P^\text{re,min} \le p_t^\text{re} \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\} \\ & q_t^\text{re} = \text{pf} \cdot p_t^\text{re}, \quad \forall t \in \{1,\dots, T\} -\end{aligned}\]


Valid configurations

Valid DeviceModels for subtypes of RenewableGen include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(RenewableDispatch, FixedOutput)RenewableDispatchFixedOutput
DeviceModel(RenewableNonDispatch, FixedOutput)RenewableNonDispatchFixedOutput
DeviceModel(RenewableDispatch, RenewableConstantPowerFactor)RenewableDispatchRenewableConstantPowerFactor
DeviceModel(RenewableNonDispatch, RenewableConstantPowerFactor)RenewableNonDispatchRenewableConstantPowerFactor
DeviceModel(RenewableDispatch, RenewableFullDispatch)RenewableDispatchRenewableFullDispatch
DeviceModel(RenewableNonDispatch, RenewableFullDispatch)RenewableNonDispatchRenewableFullDispatch
+\end{aligned}\]


Valid configurations

Valid DeviceModels for subtypes of RenewableGen include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(RenewableDispatch, FixedOutput)RenewableDispatchFixedOutput
DeviceModel(RenewableNonDispatch, FixedOutput)RenewableNonDispatchFixedOutput
DeviceModel(RenewableDispatch, RenewableConstantPowerFactor)RenewableDispatchRenewableConstantPowerFactor
DeviceModel(RenewableNonDispatch, RenewableConstantPowerFactor)RenewableNonDispatchRenewableConstantPowerFactor
DeviceModel(RenewableDispatch, RenewableFullDispatch)RenewableDispatchRenewableFullDispatch
DeviceModel(RenewableNonDispatch, RenewableFullDispatch)RenewableNonDispatchRenewableFullDispatch
diff --git a/previews/PR1130/formulation_library/Service/index.html b/previews/PR1130/formulation_library/Service/index.html index 7946ff027d..bfdd376516 100644 --- a/previews/PR1130/formulation_library/Service/index.html +++ b/previews/PR1130/formulation_library/Service/index.html @@ -1,11 +1,11 @@ -Services · PowerSimulations.jl

PowerSystems.Service Formulations

Services (or ancillary services) are models used to ensure that there is necessary support to the power grid from generators to consumers, in order to ensure reliable operation of the system.

The most common application for ancillary services are reserves, i.e., generation (or load) that is not currently being used, but can be quickly made available in case of unexpected changes of grid conditions, for example a sudden loss of load or generation.

A key challenge of adding services to a system, from a mathematical perspective, is specifying which units contribute to the specified requirement of a service, that implies the creation of new variables (such as reserve variables) and modification of constraints.

In this documentation, we first specify the available Services in the grid, and what requirements impose in the system, and later we discuss the implication on device formulations for specific units.

Table of contents

  1. RangeReserve
  2. StepwiseCostReserve
  3. GroupReserve
  4. RampReserve
  5. NonSpinningReserve
  6. ConstantMaxInterfaceFlow
  7. Changes on Expressions

RangeReserve

For each service $s$ of the model type RangeReserve the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

Depending on the PowerSystems.jl type associated to the RangeReserve formulation model, the parameters are:

Static Parameters

  • $\text{PF}$ = PowerSystems.get_max_participation_factor(service)

For a ConstantReserve PowerSystems type:

  • $\text{Req}$ = PowerSystems.get_requirement(service)

Time Series Parameters

For a VariableReserve PowerSystems type:

ParameterDefault Time Series Name
RequirementTimeSeriesParameterrequirement

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A RangeReserve implements two fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the RangeReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ +Services · PowerSimulations.jl

PowerSystems.Service Formulations

Services (or ancillary services) are models used to ensure that there is necessary support to the power grid from generators to consumers, in order to ensure reliable operation of the system.

The most common application for ancillary services are reserves, i.e., generation (or load) that is not currently being used, but can be quickly made available in case of unexpected changes of grid conditions, for example a sudden loss of load or generation.

A key challenge of adding services to a system, from a mathematical perspective, is specifying which units contribute to the specified requirement of a service, that implies the creation of new variables (such as reserve variables) and modification of constraints.

In this documentation, we first specify the available Services in the grid, and what requirements impose in the system, and later we discuss the implication on device formulations for specific units.

Table of contents

  1. RangeReserve
  2. StepwiseCostReserve
  3. GroupReserve
  4. RampReserve
  5. NonSpinningReserve
  6. ConstantMaxInterfaceFlow
  7. Changes on Expressions

RangeReserve

For each service $s$ of the model type RangeReserve the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

Depending on the PowerSystems.jl type associated to the RangeReserve formulation model, the parameters are:

Static Parameters

  • $\text{PF}$ = PowerSystems.get_max_participation_factor(service)

For a ConstantReserve PowerSystems type:

  • $\text{Req}$ = PowerSystems.get_requirement(service)

Time Series Parameters

For a VariableReserve PowerSystems type:

ParameterDefault Time Series Name
RequirementTimeSeriesParameterrequirement

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A RangeReserve implements two fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the RangeReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ \sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\} \quad \text{(for a VariableReserve)}\]

In addition, there is a restriction on how much each contributing device $d$ can contribute to the requirement, based on the max participation factor allowed.

\[r_{d,t} \le \text{Req} \cdot \text{PF} ,\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\} \quad \text{(for a ConstantReserve)} \\ -r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for a VariableReserve)}\]


StepwiseCostReserve

Service must be used with ReserveDemandCurve PowerSystems.jl type. This service model is used to model ORDC (Operating Reserve Demand Curve) in ERCOT.

For each service $s$ of the model type ReserveDemandCurve the following variables are created:

Variables:

Time Series Parameters

For a ReserveDemandCurve PowerSystems type:

| Parameter | Default Time Series Name |

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

The ServiceRequirementVariable is added as a piecewise linear cost based on the decreasing offers listed in the variable_cost time series. These decreasing cost represent the scarcity prices of not having sufficient reserves. For example, if the variable $\text{req} = 0$, then a really high cost is paid for not having enough reserves, and if $\text{req}$ is larger, then a lower cost (or even zero) is paid.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A StepwiseCostReserve implements a single constraint, such that the sum of all reserves of contributing devices must be larger than the ServiceRequirementVariable variable. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} \ge \text{req}_t,\quad \forall t\in \{1,\dots, T\} \]

GroupReserve

Service must be used with ConstantReserveGroup PowerSystems.jl type. This service model is used to model an aggregation of services.

For each service $s$ of the model type GroupReserve the following variables are created:

Variables:

No variables are created, but the services associated with the GroupReserve must have created variables.

Static Parameters

  • $\text{Req}$ = PowerSystems.get_requirement(service)

Relevant Methods:

  • $\mathcal{S}_s$ = PowerSystems.get_contributing_services(system, service): Set (vector) of all contributing services to the group service $s$ in the system.
  • $\mathcal{D}_{s_i}$ = PowerSystems.get_contributing_devices(system, service_aux): Set (vector) of all contributing devices to the service $s_i$ in the system.

Objective:

Does not modify the objective function, besides the changes to the objective function due to the other services associated to the group service.

Expressions:

No changes, besides the changes to the expressions due to the other services associated to the group service.

Constraints:

A GroupReserve implements that the sum of all reserves of contributing devices, of all contributing services, must be larger than the GroupReserve requirement. Thus, for a GroupReserve service $s$:

\[\sum_{d\in\mathcal{D}_{s_i}} \sum_{i \in \mathcal{S}_s} r_{d,t} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \]


RampReserve

For each service $s$ of the model type RampReserve the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

RampReserve only accepts VariableReserve PowerSystems.jl type. With that, the parameters are:

Static Parameters

  • $\text{TF}$ = PowerSystems.get_time_frame(service)
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up for thermal contributing devices
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down for thermal contributing devices

Time Series Parameters

For a VariableReserve PowerSystems type:

ParameterDefault Time Series Name
RequirementTimeSeriesParameterrequirement

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A RampReserve implements three fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the RampReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\}\]

Finally, there is a restriction based on the ramp limits of the contributing devices:

\[r_{d,t} \le R^\text{th,up} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveUp)} \\ -r_{d,t} \le R^\text{th,dn} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveDown)}\]


NonSpinningReserve

For each service $s$ of the model type NonSpinningReserve, the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

NonSpinningReserve only accepts VariableReserve PowerSystems.jl type. With that, the parameters are:

Static Parameters

  • $\text{PF}$ = PowerSystems.get_max_participation_factor(service)
  • $\text{TF}$ = PowerSystems.get_time_frame(service)
  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min for thermal contributing devices
  • $T^\text{st,up}$ = PowerSystems.get_time_limits(d).up for thermal contributing devices
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).down for thermal contributing devices

Other parameters:

  • $\Delta T$: Resolution of the problem in minutes.

Time Series Parameters

For a VariableReserve PowerSystems type:

| Parameter | Default Time Series Name |

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A NonSpinningReserve implements three fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the NonSpinningReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\}\]

In addition, there is a restriction on how much each contributing device $d$ can contribute to the requirement, based on the max participation factor allowed.

\[r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\},\]

Finally, there is a restriction based on the reserve response time for the non-spinning reserve if the unit is off. To do so, compute $R^\text{limit}_d$ as the reserve response limit as:

\[R^\text{limit}_d = \begin{cases} +r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for a VariableReserve)}\]


StepwiseCostReserve

Service must be used with ReserveDemandCurve PowerSystems.jl type. This service model is used to model ORDC (Operating Reserve Demand Curve) in ERCOT.

For each service $s$ of the model type ReserveDemandCurve the following variables are created:

Variables:

Time Series Parameters

For a ReserveDemandCurve PowerSystems type:

| Parameter | Default Time Series Name |

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

The ServiceRequirementVariable is added as a piecewise linear cost based on the decreasing offers listed in the variable_cost time series. These decreasing cost represent the scarcity prices of not having sufficient reserves. For example, if the variable $\text{req} = 0$, then a really high cost is paid for not having enough reserves, and if $\text{req}$ is larger, then a lower cost (or even zero) is paid.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A StepwiseCostReserve implements a single constraint, such that the sum of all reserves of contributing devices must be larger than the ServiceRequirementVariable variable. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} \ge \text{req}_t,\quad \forall t\in \{1,\dots, T\} \]

GroupReserve

Service must be used with ConstantReserveGroup PowerSystems.jl type. This service model is used to model an aggregation of services.

For each service $s$ of the model type GroupReserve the following variables are created:

Variables:

No variables are created, but the services associated with the GroupReserve must have created variables.

Static Parameters

  • $\text{Req}$ = PowerSystems.get_requirement(service)

Relevant Methods:

  • $\mathcal{S}_s$ = PowerSystems.get_contributing_services(system, service): Set (vector) of all contributing services to the group service $s$ in the system.
  • $\mathcal{D}_{s_i}$ = PowerSystems.get_contributing_devices(system, service_aux): Set (vector) of all contributing devices to the service $s_i$ in the system.

Objective:

Does not modify the objective function, besides the changes to the objective function due to the other services associated to the group service.

Expressions:

No changes, besides the changes to the expressions due to the other services associated to the group service.

Constraints:

A GroupReserve implements that the sum of all reserves of contributing devices, of all contributing services, must be larger than the GroupReserve requirement. Thus, for a GroupReserve service $s$:

\[\sum_{d\in\mathcal{D}_{s_i}} \sum_{i \in \mathcal{S}_s} r_{d,t} \ge \text{Req},\quad \forall t\in \{1,\dots, T\} \]


RampReserve

For each service $s$ of the model type RampReserve the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

RampReserve only accepts VariableReserve PowerSystems.jl type. With that, the parameters are:

Static Parameters

  • $\text{TF}$ = PowerSystems.get_time_frame(service)
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up for thermal contributing devices
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down for thermal contributing devices

Time Series Parameters

For a VariableReserve PowerSystems type:

ParameterDefault Time Series Name
RequirementTimeSeriesParameterrequirement

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A RampReserve implements three fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the RampReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\}\]

Finally, there is a restriction based on the ramp limits of the contributing devices:

\[r_{d,t} \le R^\text{th,up} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveUp)} \\ +r_{d,t} \le R^\text{th,dn} \cdot \text{TF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\}, \quad \text{(for ReserveDown)}\]


NonSpinningReserve

For each service $s$ of the model type NonSpinningReserve, the following variables are created:

Variables:

  • ActivePowerReserveVariable:
    • Bounds: [0.0, ]
    • Default proportional cost: $1.0 / \text{SystemBasePower}$
    • Symbol: $r_{d}$ for $d$ in contributing devices to the service $s$

If slacks are enabled:

NonSpinningReserve only accepts VariableReserve PowerSystems.jl type. With that, the parameters are:

Static Parameters

  • $\text{PF}$ = PowerSystems.get_max_participation_factor(service)
  • $\text{TF}$ = PowerSystems.get_time_frame(service)
  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min for thermal contributing devices
  • $T^\text{st,up}$ = PowerSystems.get_time_limits(d).up for thermal contributing devices
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).down for thermal contributing devices

Other parameters:

  • $\Delta T$: Resolution of the problem in minutes.

Time Series Parameters

For a VariableReserve PowerSystems type:

| Parameter | Default Time Series Name |

Relevant Methods:

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing devices to the service $s$ in the system.

Objective:

Add a large proportional cost to the objective function if slack variables are used $+ r^\text{sl} \cdot 10^5$. In addition adds the default cost for ActivePowerReserveVariables as a proportional cost.

Expressions:

Adds the ActivePowerReserveVariable for upper/lower bound expressions of contributing devices.

For ReserveUp types, the variable is added to ActivePowerRangeExpressionUB, such that this expression considers both the ActivePowerVariable and its reserve variable. Similarly, For ReserveDown types, the variable is added to ActivePowerRangeExpressionLB, such that this expression considers both the ActivePowerVariable and its reserve variable

Example: for a thermal unit $d$ contributing to two different ReserveUp $s_1, s_2$ services (e.g. Reg-Up and Spin):

\[\text{ActivePowerRangeExpressionUB}_{t} = p_t^\text{th} + r_{s_1,t} + r_{s_2, t} \le P^\text{th,max}\]

similarly if $s_3$ is a ReserveDown service (e.g. Reg-Down):

\[\text{ActivePowerRangeExpressionLB}_{t} = p_t^\text{th} - r_{s_3,t} \ge P^\text{th,min}\]

Constraints:

A NonSpinningReserve implements three fundamental constraints. The first is that the sum of all reserves of contributing devices must be larger than the NonSpinningReserve requirement. Thus, for a service $s$:

\[\sum_{d\in\mathcal{D}_s} r_{d,t} + r_t^\text{sl} \ge \text{RequirementTimeSeriesParameter}_{t},\quad \forall t\in \{1,\dots, T\}\]

In addition, there is a restriction on how much each contributing device $d$ can contribute to the requirement, based on the max participation factor allowed.

\[r_{d,t} \le \text{RequirementTimeSeriesParameter}_{t} \cdot \text{PF}\quad \forall d\in \mathcal{D}_s, \forall t\in \{1,\dots, T\},\]

Finally, there is a restriction based on the reserve response time for the non-spinning reserve if the unit is off. To do so, compute $R^\text{limit}_d$ as the reserve response limit as:

\[R^\text{limit}_d = \begin{cases} 0 & \text{ if TF } \le T^\text{st,up}_d \\ P^\text{th,min}_d + (\text{TF}_s - T^\text{st,up}_d) \cdot R^\text{th,up}_d \Delta T \cdot R^\text{th,up}_d & \text{ if TF } > T^\text{st,up}_d -\end{cases}, \quad \forall d\in \mathcal{D}_s\]

Then, the constraint depends on the commitment variable $u_t^\text{th}$ as:

\[r_{d,t} \le (1 - u_{d,t}^\text{th}) \cdot R^\text{limit}_d, \quad \forall d \in \mathcal{D}_s, \forall t \in \{1,\dots, T\}\]


ConstantMaxInterfaceFlow

This Service model only accepts the PowerSystems.jl TransmissionInterface type to properly function. It is used to model a collection of branches that make up an interface or corridor with a maximum transfer of power.

Variables

If slacks are used:

Static Parameters

  • $F^\text{max}$ = PowerSystems.get_active_power_flow_limits(service).max
  • $F^\text{min}$ = PowerSystems.get_active_power_flow_limits(service).min
  • $C^\text{flow}$ = PowerSystems.get_violation_penalty(service)
  • $\mathcal{M}_s$ = PowerSystems.get_direction_mapping(service). Dictionary of contributing branches with its specified direction ($\text{Dir}_d = 1$ or $\text{Dir}_d = -1$) with respect to the interface.

Relevant Methods

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing branches to the service $s$ in the system.

Objective:

Add the violation penalty proportional cost to the objective function if slack variables are used $+ (f^\text{sl,up} + f^\text{sl,dn}) \cdot C^\text{flow}$.

Expressions:

Creates the expression InterfaceTotalFlow to keep track of all FlowActivePowerVariable of contributing branches to the transmission interface.

Constraints:

It adds the constraint to limit the InterfaceTotalFlow by the specified bounds of the service $s$:

\[F^\text{min} \le f^\text{sl,up}_t - f^\text{sl,dn}_t + \sum_{d\in\mathcal{D}_s} \text{Dir}_d f_{d,t} \le F^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

Changes on Expressions due to Service models

It is important to note that by adding a service to a Optimization Problem, variables for each contributing device must be created. For example, for every contributing generator $d \in \mathcal{D}$ that is participating in services $s_1,s_2,s_3$, it is required to create three set of ActivePowerReserveVariable variables:

\[r_{s_1,d,t},~ r_{s_2,d,t},~ r_{s_3,d,t},\quad \forall d \in \mathcal{D}, \forall t \in \{1,\dots, T\}\]

Changes on UpperBound (UB) and LowerBound (LB) limits

Each contributing generator $d$ has active power limits that the reserve variables affect. In simple terms, the limits are implemented using expressions ActivePowerRangeExpressionUB and ActivePowerRangeExpressionLB as:

\[\text{ActivePowerRangeExpressionUB}_t \le P^\text{max} \\ +\end{cases}, \quad \forall d\in \mathcal{D}_s\]

Then, the constraint depends on the commitment variable $u_t^\text{th}$ as:

\[r_{d,t} \le (1 - u_{d,t}^\text{th}) \cdot R^\text{limit}_d, \quad \forall d \in \mathcal{D}_s, \forall t \in \{1,\dots, T\}\]


ConstantMaxInterfaceFlow

This Service model only accepts the PowerSystems.jl TransmissionInterface type to properly function. It is used to model a collection of branches that make up an interface or corridor with a maximum transfer of power.

Variables

If slacks are used:

Static Parameters

  • $F^\text{max}$ = PowerSystems.get_active_power_flow_limits(service).max
  • $F^\text{min}$ = PowerSystems.get_active_power_flow_limits(service).min
  • $C^\text{flow}$ = PowerSystems.get_violation_penalty(service)
  • $\mathcal{M}_s$ = PowerSystems.get_direction_mapping(service). Dictionary of contributing branches with its specified direction ($\text{Dir}_d = 1$ or $\text{Dir}_d = -1$) with respect to the interface.

Relevant Methods

  • $\mathcal{D}_s$ = PowerSystems.get_contributing_devices(system, service): Set (vector) of all contributing branches to the service $s$ in the system.

Objective:

Add the violation penalty proportional cost to the objective function if slack variables are used $+ (f^\text{sl,up} + f^\text{sl,dn}) \cdot C^\text{flow}$.

Expressions:

Creates the expression InterfaceTotalFlow to keep track of all FlowActivePowerVariable of contributing branches to the transmission interface.

Constraints:

It adds the constraint to limit the InterfaceTotalFlow by the specified bounds of the service $s$:

\[F^\text{min} \le f^\text{sl,up}_t - f^\text{sl,dn}_t + \sum_{d\in\mathcal{D}_s} \text{Dir}_d f_{d,t} \le F^\text{max}, \quad \forall t \in \{1,\dots,T\}\]

Changes on Expressions due to Service models

It is important to note that by adding a service to a Optimization Problem, variables for each contributing device must be created. For example, for every contributing generator $d \in \mathcal{D}$ that is participating in services $s_1,s_2,s_3$, it is required to create three set of ActivePowerReserveVariable variables:

\[r_{s_1,d,t},~ r_{s_2,d,t},~ r_{s_3,d,t},\quad \forall d \in \mathcal{D}, \forall t \in \{1,\dots, T\}\]

Changes on UpperBound (UB) and LowerBound (LB) limits

Each contributing generator $d$ has active power limits that the reserve variables affect. In simple terms, the limits are implemented using expressions ActivePowerRangeExpressionUB and ActivePowerRangeExpressionLB as:

\[\text{ActivePowerRangeExpressionUB}_t \le P^\text{max} \\ \text{ActivePowerRangeExpressionLB}_t \ge P^\text{min}\]

ReserveUp type variables contribute to the upper bound expression, while ReserveDown variables contribute to the lower bound expressions. So if $s_1,s_2$ are ReserveUp services, and $s_3$ is a ReserveDown service, then for a thermal generator $d$ using a ThermalStandardDispatch:

\[\begin{align*} & p_{d,t}^\text{th} + r_{s_1,d,t} + r_{s_2,d,t} \le P^\text{th,max},\quad \forall d\in \mathcal{D}^\text{th}, \forall t \in \{1,\dots,T\} \\ & p_{d,t}^\text{th} - r_{s_3,d,t} \ge P^\text{th,min},\quad \forall d\in \mathcal{D}^\text{th}, \forall t \in \{1,\dots,T\} @@ -15,4 +15,4 @@ \end{align*}\]

Changes in Ramp limits

For the case of Ramp Limits (of formulation that model these limits), the reserve variables only affect the current time, and not the previous time. Then, for the same example as before:

\[\begin{align*} & p_{d,t}^\text{th} + r_{s_1,d,t} + r_{s_2,d,t} - p_{d,t-1}^\text{th}\le R^\text{th,up},\quad \forall d\in \mathcal{D}^\text{th}, \forall t \in \{1,\dots,T\}\\ & p_{d,t}^\text{th} - r_{s_3,d,t} - p_{d,t-1}^\text{th} \ge -R^\text{th,dn},\quad \forall d\in \mathcal{D}^\text{th}, \forall t \in \{1,\dots,T\} -\end{align*}\]

+\end{align*}\]

diff --git a/previews/PR1130/formulation_library/ThermalGen/index.html b/previews/PR1130/formulation_library/ThermalGen/index.html index dd7e007630..e19f89098c 100644 --- a/previews/PR1130/formulation_library/ThermalGen/index.html +++ b/previews/PR1130/formulation_library/ThermalGen/index.html @@ -1,33 +1,33 @@ -Thermal Generation · PowerSimulations.jl

ThermalGen Formulations

Thermal generation formulations define the optimization models that describe thermal units mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

Thermal units can include multiple terms added to the objective function, such as no-load cost, turn-on/off cost, fixed cost and variable cost. In addition, variable costs can be linear, quadratic or piecewise-linear formulations. These methods are properly described in the cost function page.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Note

Reserve variables for services are not included in the formulation, albeit their inclusion change the variables, expressions, constraints and objective functions created. A detailed description of the implications in the optimization models is described in the Service formulation section.

Table of Contents

  1. ThermalBasicDispatch
  2. ThermalDispatchNoMin
  3. ThermalCompactDispatch
  4. ThermalStandardDispatch
  5. ThermalBasicUnitCommitment
  6. ThermalBasicCompactUnitCommitment
  7. ThermalStandardUnitCommitment
  8. ThermalMultiStartUnitCommitment
  9. Valid configurations

ThermalBasicDispatch

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align*} +Thermal Generation · PowerSimulations.jl

ThermalGen Formulations

Thermal generation formulations define the optimization models that describe thermal units mathematical model in different operational settings, such as economic dispatch and unit commitment.

Note

Thermal units can include multiple terms added to the objective function, such as no-load cost, turn-on/off cost, fixed cost and variable cost. In addition, variable costs can be linear, quadratic or piecewise-linear formulations. These methods are properly described in the cost function page.

Note

The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.

Note

Reserve variables for services are not included in the formulation, albeit their inclusion change the variables, expressions, constraints and objective functions created. A detailed description of the implications in the optimization models is described in the Service formulation section.

Table of Contents

  1. ThermalBasicDispatch
  2. ThermalDispatchNoMin
  3. ThermalCompactDispatch
  4. ThermalStandardDispatch
  5. ThermalBasicUnitCommitment
  6. ThermalBasicCompactUnitCommitment
  7. ThermalStandardUnitCommitment
  8. ThermalMultiStartUnitCommitment
  9. Valid configurations

ThermalBasicDispatch

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align*} & P^\text{th,min} \le p^\text{th}_t \le P^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & Q^\text{th,min} \le q^\text{th}_t \le Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} -\end{align*}\]


ThermalDispatchNoMin

Variables:

Static Parameters:

  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align} +\end{align*}\]


ThermalDispatchNoMin

Variables:

Static Parameters:

  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align} & 0 \le p^\text{th}_t \le P^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & Q^\text{th,min} \le q^\text{th}_t \le Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} -\end{align}\]


ThermalCompactDispatch

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = \text{on}^\text{th}P^\text{min} + \Delta p^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down

Variable Value Parameters:

  • $\text{on}^\text{th}$: Used in feedforwards to define if the unit is on/off at each time-step from another problem. If no feedforward is used, the parameter takes a {0,1} value if the unit is available or not.

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $\text{on}^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also implements ramp constraints for the active power variable.

\[\begin{align*} +\end{align}\]


ThermalCompactDispatch

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = \text{on}^\text{th}P^\text{min} + \Delta p^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down

Variable Value Parameters:

  • $\text{on}^\text{th}$: Used in feedforwards to define if the unit is on/off at each time-step from another problem. If no feedforward is used, the parameter takes a {0,1} value if the unit is available or not.

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $\text{on}^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also implements ramp constraints for the active power variable.

\[\begin{align*} & 0 \le \Delta p^\text{th}_t \le \text{on}^\text{th}_t\left(P^\text{th,max} - P^\text{th,min}\right), \quad \forall t\in \{1, \dots, T\} \\ & \text{on}^\text{th}_t Q^\text{th,min} \le q^\text{th}_t \le \text{on}^\text{th}_t Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & -R^\text{th,dn} \le \Delta p_1^\text{th} - \Delta p^\text{th, init} \le R^\text{th,up} \\ & -R^\text{th,dn} \le \Delta p_t^\text{th} - \Delta p_{t-1}^\text{th} \le R^\text{th,up}, \quad \forall t\in \{2, \dots, T\} -\end{align*}\]


ThermalStandardDispatch

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align*} +\end{align*}\]


ThermalStandardDispatch

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters.

\[\begin{align*} & P^\text{th,min} \le p^\text{th}_t \le P^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & Q^\text{th,min} \le q^\text{th}_t \le Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & -R^\text{th,dn} \le p_1^\text{th} - p^\text{th, init} \le R^\text{th,up} \\ & -R^\text{th,dn} \le p_t^\text{th} - p_{t-1}^\text{th} \le R^\text{th,up}, \quad \forall t\in \{2, \dots, T\} -\end{align*}\]


ThermalBasicUnitCommitment

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. In addition, it creates the commitment constraint to turn on/off the device.

\[\begin{align*} +\end{align*}\]


ThermalBasicUnitCommitment

Variables:

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. In addition, it creates the commitment constraint to turn on/off the device.

\[\begin{align*} & u_t^\text{th} P^\text{th,min} \le p^\text{th}_t \le u_t^\text{th} P^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & u_t^\text{th} Q^\text{th,min} \le q^\text{th}_t \le u_t^\text{th} Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & u_1^\text{th} = u^\text{th,init} + v_1^\text{th} - w_1^\text{th} \\ & u_t^\text{th} = u_{t-1}^\text{th} + v_t^\text{th} - w_t^\text{th}, \quad \forall t \in \{2,\dots,T\} \\ & v_t^\text{th} + w_t^\text{th} \le 1, \quad \forall t \in \{1,\dots,T\} -\end{align*}\]


ThermalBasicCompactUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. In addition, it creates the commitment constraint to turn on/off the device.

\[\begin{align*} +\end{align*}\]


ThermalBasicCompactUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. In addition, it creates the commitment constraint to turn on/off the device.

\[\begin{align*} & 0 \le \Delta p^\text{th}_t \le u^\text{th}_t\left(P^\text{th,max} - P^\text{th,min}\right), \quad \forall t\in \{1, \dots, T\} \\ & u_t^\text{th} Q^\text{th,min} \le q^\text{th}_t \le u_t^\text{th} Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & u_1^\text{th} = u^\text{th,init} + v_1^\text{th} - w_1^\text{th} \\ & u_t^\text{th} = u_{t-1}^\text{th} + v_t^\text{th} - w_t^\text{th}, \quad \forall t \in \{2,\dots,T\} \\ & v_t^\text{th} + w_t^\text{th} \le 1, \quad \forall t \in \{1,\dots,T\} -\end{align*}\]


ThermalCompactUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$
  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} +\end{align*}\]


ThermalCompactUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$
  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} & 0 \le \Delta p^\text{th}_t \le u^\text{th}_t\left(P^\text{th,max} - P^\text{th,min}\right), \quad \forall t\in \{1, \dots, T\} \\ & u_t^\text{th} Q^\text{th,min} \le q^\text{th}_t \le u_t^\text{th} Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & -R^\text{th,dn} \le \Delta p_1^\text{th} - \Delta p^\text{th, init} \le R^\text{th,up} \\ @@ -45,7 +45,7 @@ & 1 + \sum_{i=t-D^\text{min,dn} + 1}^t w_i^\text{th} \leq 1 - u_t^\text{th} \quad \text{(for } i \text{ in the set of time steps).} \\ & \text{Otherwise:} \\ & \sum_{i=t-D^\text{min,dn} + 1}^t w_i^\text{th} \leq 1 - u_t^\text{th} -\end{align*}\]


ThermalStandardUnitCommitment

Variables:

Auxiliary Variables:

  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} +\end{align*}\]


ThermalStandardUnitCommitment

Variables:

Auxiliary Variables:

  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} & u^\text{th}_t P^\text{th,min} \le p^\text{th}_t \le u^\text{th}_t P^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & u_t^\text{th} Q^\text{th,min} \le q^\text{th}_t \le u_t^\text{th} Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & -R^\text{th,dn} \le p_1^\text{th} - p^\text{th, init} \le R^\text{th,up} \\ @@ -63,7 +63,7 @@ & 1 + \sum_{i=t-D^\text{min,dn} + 1}^t w_i^\text{th} \leq 1 - u_t^\text{th} \quad \text{(for } i \text{ in the set of time steps).} \\ & \text{Otherwise:} \\ & \sum_{i=t-D^\text{min,dn} + 1}^t w_i^\text{th} \leq 1 - u_t^\text{th} -\end{align*}\]


ThermalMultiStartUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$
  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down
  • $D^\text{cold}$ = PowerSystems.get_start_time_limits(device).cold
  • $D^\text{warm}$ = PowerSystems.get_start_time_limits(device).warm
  • $D^\text{hot}$ = PowerSystems.get_start_time_limits(device).hot
  • $P^\text{th,startup}$ = PowerSystems.get_power_trajectory(device).startup
  • $P^\text{th, shdown}$ = PowerSystems.get_power_trajectory(device).shutdown

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} +\end{align*}\]


ThermalMultiStartUnitCommitment

Variables:

Auxiliary Variables:

  • PowerOutput:
    • Symbol: $P^\text{th}$
    • Definition: $P^\text{th} = u^\text{th}P^\text{min} + \Delta p^\text{th}$
  • TimeDurationOn:
    • Symbol: $V_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned on variable $u_t^\text{th}$
  • TimeDurationOff:
    • Symbol: $W_t^\text{th}$
    • Definition: Computed post optimization by adding consecutive turned off variable $1 - u_t^\text{th}$

Static Parameters:

  • $P^\text{th,min}$ = PowerSystems.get_active_power_limits(device).min
  • $P^\text{th,max}$ = PowerSystems.get_active_power_limits(device).max
  • $Q^\text{th,min}$ = PowerSystems.get_reactive_power_limits(device).min
  • $Q^\text{th,max}$ = PowerSystems.get_reactive_power_limits(device).max
  • $R^\text{th,up}$ = PowerSystems.get_ramp_limits(device).up
  • $R^\text{th,dn}$ = PowerSystems.get_ramp_limits(device).down
  • $D^\text{min,up}$ = PowerSystems.get_time_limits(device).up
  • $D^\text{min,dn}$ = PowerSystems.get_time_limits(device).down
  • $D^\text{cold}$ = PowerSystems.get_start_time_limits(device).cold
  • $D^\text{warm}$ = PowerSystems.get_start_time_limits(device).warm
  • $D^\text{hot}$ = PowerSystems.get_start_time_limits(device).hot
  • $P^\text{th,startup}$ = PowerSystems.get_power_trajectory(device).startup
  • $P^\text{th, shdown}$ = PowerSystems.get_power_trajectory(device).shutdown

Objective:

Add a cost to the objective function depending on the defined cost structure of the thermal unit by adding it to its ProductionCostExpression.

Expressions:

Adds $u^\text{th}P^\text{th,min} + \Delta p^\text{th}$ to the ActivePowerBalance expression and $q^\text{th}$ to the ReactivePowerBalance, to be used in the supply-balance constraint depending on the network model used.

Constraints:

For each thermal unit creates the range constraints for its active and reactive power depending on its static parameters. It also creates the commitment constraint to turn on/off the device.

\[\begin{align*} & 0 \le \Delta p^\text{th}_t \le u^\text{th}_t\left(P^\text{th,max} - P^\text{th,min}\right), \quad \forall t\in \{1, \dots, T\} \\ & u_t^\text{th} Q^\text{th,min} \le q^\text{th}_t \le u_t^\text{th} Q^\text{th,max}, \quad \forall t\in \{1, \dots, T\} \\ & -R^\text{th,dn} \le \Delta p_1^\text{th} - \Delta p^\text{th, init} \le R^\text{th,up} \\ @@ -90,4 +90,4 @@ & D^\text{hot} z_t^\text{th} \le \sum_{i=1}^t (1 - u_i^\text{th}) + D^\text{init,hot}, \quad \forall t \in \{1, \dots, T\} \\ & (D^\text{cold} - 1) y_t^\text{th} + (1 - y_t^\text{th}) M^\text{big} \ge \sum_{i=1}^t (1 - u_i^\text{th}) + D^\text{init,warm}, \quad \forall t \in \{1, \dots, T\} \\ & D^\text{warm} y_t^\text{th} \le \sum_{i=1}^t (1 - u_i^\text{th}) + D^\text{init,warm}, \quad \forall t \in \{1, \dots, T\} \\ -\end{align*}\]


Valid configurations

Valid DeviceModels for subtypes of ThermalGen include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(ThermalMultiStart, FixedOutput)ThermalMultiStartFixedOutput
DeviceModel(ThermalStandard, FixedOutput)ThermalStandardFixedOutput
DeviceModel(ThermalMultiStart, ThermalBasicDispatch)ThermalMultiStartThermalBasicDispatch
DeviceModel(ThermalStandard, ThermalBasicDispatch)ThermalStandardThermalBasicDispatch
DeviceModel(ThermalMultiStart, ThermalCompactDispatch)ThermalMultiStartThermalCompactDispatch
DeviceModel(ThermalStandard, ThermalCompactDispatch)ThermalStandardThermalCompactDispatch
DeviceModel(ThermalMultiStart, ThermalDispatchNoMin)ThermalMultiStartThermalDispatchNoMin
DeviceModel(ThermalStandard, ThermalDispatchNoMin)ThermalStandardThermalDispatchNoMin
DeviceModel(ThermalMultiStart, ThermalStandardDispatch)ThermalMultiStartThermalStandardDispatch
DeviceModel(ThermalStandard, ThermalStandardDispatch)ThermalStandardThermalStandardDispatch
DeviceModel(ThermalMultiStart, ThermalBasicCompactUnitCommitment)ThermalMultiStartThermalBasicCompactUnitCommitment
DeviceModel(ThermalStandard, ThermalBasicCompactUnitCommitment)ThermalStandardThermalBasicCompactUnitCommitment
DeviceModel(ThermalMultiStart, ThermalCompactUnitCommitment)ThermalMultiStartThermalCompactUnitCommitment
DeviceModel(ThermalStandard, ThermalCompactUnitCommitment)ThermalStandardThermalCompactUnitCommitment
DeviceModel(ThermalMultiStart, ThermalMultiStartUnitCommitment)ThermalMultiStartThermalMultiStartUnitCommitment
DeviceModel(ThermalMultiStart, ThermalBasicUnitCommitment)ThermalMultiStartThermalBasicUnitCommitment
DeviceModel(ThermalStandard, ThermalBasicUnitCommitment)ThermalStandardThermalBasicUnitCommitment
DeviceModel(ThermalMultiStart, ThermalStandardUnitCommitment)ThermalMultiStartThermalStandardUnitCommitment
DeviceModel(ThermalStandard, ThermalStandardUnitCommitment)ThermalStandardThermalStandardUnitCommitment
+\end{align*}\]


Valid configurations

Valid DeviceModels for subtypes of ThermalGen include the following:

Valid DeviceModelDevice TypeFormulation
DeviceModel(ThermalMultiStart, FixedOutput)ThermalMultiStartFixedOutput
DeviceModel(ThermalStandard, FixedOutput)ThermalStandardFixedOutput
DeviceModel(ThermalMultiStart, ThermalBasicDispatch)ThermalMultiStartThermalBasicDispatch
DeviceModel(ThermalStandard, ThermalBasicDispatch)ThermalStandardThermalBasicDispatch
DeviceModel(ThermalMultiStart, ThermalCompactDispatch)ThermalMultiStartThermalCompactDispatch
DeviceModel(ThermalStandard, ThermalCompactDispatch)ThermalStandardThermalCompactDispatch
DeviceModel(ThermalMultiStart, ThermalDispatchNoMin)ThermalMultiStartThermalDispatchNoMin
DeviceModel(ThermalStandard, ThermalDispatchNoMin)ThermalStandardThermalDispatchNoMin
DeviceModel(ThermalMultiStart, ThermalStandardDispatch)ThermalMultiStartThermalStandardDispatch
DeviceModel(ThermalStandard, ThermalStandardDispatch)ThermalStandardThermalStandardDispatch
DeviceModel(ThermalMultiStart, ThermalBasicCompactUnitCommitment)ThermalMultiStartThermalBasicCompactUnitCommitment
DeviceModel(ThermalStandard, ThermalBasicCompactUnitCommitment)ThermalStandardThermalBasicCompactUnitCommitment
DeviceModel(ThermalMultiStart, ThermalCompactUnitCommitment)ThermalMultiStartThermalCompactUnitCommitment
DeviceModel(ThermalStandard, ThermalCompactUnitCommitment)ThermalStandardThermalCompactUnitCommitment
DeviceModel(ThermalMultiStart, ThermalMultiStartUnitCommitment)ThermalMultiStartThermalMultiStartUnitCommitment
DeviceModel(ThermalMultiStart, ThermalBasicUnitCommitment)ThermalMultiStartThermalBasicUnitCommitment
DeviceModel(ThermalStandard, ThermalBasicUnitCommitment)ThermalStandardThermalBasicUnitCommitment
DeviceModel(ThermalMultiStart, ThermalStandardUnitCommitment)ThermalMultiStartThermalStandardUnitCommitment
DeviceModel(ThermalStandard, ThermalStandardUnitCommitment)ThermalStandardThermalStandardUnitCommitment
diff --git a/previews/PR1130/index.html b/previews/PR1130/index.html index a5ae3fa56b..9b2449d679 100644 --- a/previews/PR1130/index.html +++ b/previews/PR1130/index.html @@ -1,2 +1,2 @@ -Welcome Page · PowerSimulations.jl

PowerSimulations.jl

Overview

PowerSimulations.jl is a power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl tackles the issues of developing a simulation model in a modular way providing tools for the formulation of decision models and emulation models that can be solved independently or in an interconnected fashion.

PowerSimulations.jl supports the workflows to develop simulations by separating the development of operations models and simulation models.

  • Operation Models: Optimization model used to find the solution of an operation problem.
  • Simulations Models: Defined the requirements to find solutions to a sequence of operation problems in a way that resembles the procedures followed by operators.

The most common Simulation Model is the solution of a Unit Commitment and Economic Dispatch sequence of problems. This model is used in commercial Production Cost Modeling tools, but it has a limited scope of analysis.

How the documentation is structured

PowerSimulations.jl documentation and code are organized according to the needs of different users depending on their skillset and requirements. In broad terms there are three categories:

  • Modeler: Users that want to solve an operations problem or run a simulation using the existing models in PowerSimulations.jl. For instance, answer questions about the change in operation costs in future fuel mixes. Check the formulations library page to choose a modeling strategy that fits your needs.

  • Model Developer: Users that want to develop custom models and workflows for the simulation of a power system operation. For instance, study the impacts of an stochastic optimization problem over a deterministic.

  • Code Base Developers: Users that want to add new core functionalities or fix bugs in the core capabilities of PowerSimulations.jl.

PowerSimulations.jl is an active project under development, and we welcome your feedback, suggestions, and bug reports.

Note: PowerSimulations.jl uses the data model implemented in PowerSystems.jl to construct optimization models. In most cases, you need to add PowerSystems.jl to your scripts.

Installation

The latest stable release of PowerSimulations can be installed using the Julia package manager with

] add PowerSimulations

For the current development version, "checkout" this package with

] add PowerSimulations#main

An appropriate optimization solver is required for running PowerSimulations models. Refer to JuMP.jl solver's page to select the most appropriate for the application of interest.


PowerSystems has been developed as part of the Scalable Integrated Infrastructure Planning (SIIP) initiative at the U.S. Department of Energy's National Renewable Energy Laboratory (NREL).

+Welcome Page · PowerSimulations.jl

PowerSimulations.jl

Overview

PowerSimulations.jl is a power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl tackles the issues of developing a simulation model in a modular way providing tools for the formulation of decision models and emulation models that can be solved independently or in an interconnected fashion.

PowerSimulations.jl supports the workflows to develop simulations by separating the development of operations models and simulation models.

  • Operation Models: Optimization model used to find the solution of an operation problem.
  • Simulations Models: Defined the requirements to find solutions to a sequence of operation problems in a way that resembles the procedures followed by operators.

The most common Simulation Model is the solution of a Unit Commitment and Economic Dispatch sequence of problems. This model is used in commercial Production Cost Modeling tools, but it has a limited scope of analysis.

How the documentation is structured

PowerSimulations.jl documentation and code are organized according to the needs of different users depending on their skillset and requirements. In broad terms there are three categories:

  • Modeler: Users that want to solve an operations problem or run a simulation using the existing models in PowerSimulations.jl. For instance, answer questions about the change in operation costs in future fuel mixes. Check the formulations library page to choose a modeling strategy that fits your needs.

  • Model Developer: Users that want to develop custom models and workflows for the simulation of a power system operation. For instance, study the impacts of an stochastic optimization problem over a deterministic.

  • Code Base Developers: Users that want to add new core functionalities or fix bugs in the core capabilities of PowerSimulations.jl.

PowerSimulations.jl is an active project under development, and we welcome your feedback, suggestions, and bug reports.

Note: PowerSimulations.jl uses the data model implemented in PowerSystems.jl to construct optimization models. In most cases, you need to add PowerSystems.jl to your scripts.

Installation

The latest stable release of PowerSimulations can be installed using the Julia package manager with

] add PowerSimulations

For the current development version, "checkout" this package with

] add PowerSimulations#main

An appropriate optimization solver is required for running PowerSimulations models. Refer to JuMP.jl solver's page to select the most appropriate for the application of interest.


PowerSystems has been developed as part of the Scalable Integrated Infrastructure Planning (SIIP) initiative at the U.S. Department of Energy's National Renewable Energy Laboratory (NREL).

diff --git a/previews/PR1130/model_developer_guide/structure_of_operation_problem/index.html b/previews/PR1130/model_developer_guide/structure_of_operation_problem/index.html index 1c2e54d0ca..2d9b010ba0 100644 --- a/previews/PR1130/model_developer_guide/structure_of_operation_problem/index.html +++ b/previews/PR1130/model_developer_guide/structure_of_operation_problem/index.html @@ -23,4 +23,4 @@ end return - end + end diff --git a/previews/PR1130/model_developer_guide/troubleshooting/index.html b/previews/PR1130/model_developer_guide/troubleshooting/index.html index 065359b49e..eec46cb725 100644 --- a/previews/PR1130/model_developer_guide/troubleshooting/index.html +++ b/previews/PR1130/model_developer_guide/troubleshooting/index.html @@ -1,2 +1,2 @@ -Troubleshooting · PowerSimulations.jl
+Troubleshooting · PowerSimulations.jl
diff --git a/previews/PR1130/modeler_guide/debugging_infeasible_models/index.html b/previews/PR1130/modeler_guide/debugging_infeasible_models/index.html index 84c1f34b6e..f63868b311 100644 --- a/previews/PR1130/modeler_guide/debugging_infeasible_models/index.html +++ b/previews/PR1130/modeler_guide/debugging_infeasible_models/index.html @@ -124,4 +124,4 @@ │ │ ("317_Hybrid", 26) │ │ └───────────────────────────────────────┘ - Error: Serializing Infeasible Problem at /var/folders/1v/t69qyl0n5059n6c1nn7sp8zm7g8s6z/T/jl_jNSREb/compact_sim/problems/ED/infeasible_ED_2020-10-06T15:00:00.json

Note that the IIS clearly identify that the issue is happening at time step 26, and constraints are related with the CopperPlateBalanceConstraint__System, with multiple upper bound constraints, for the hybrid system, renewable units and thermal units. This highlights that there may not be enough generation in the system. Indeed, by enabling system slacks, the problem become feasible.

Finally, the infeasible model is exported in a json file that can be loaded directly in JuMP to be explored. More information about this is available here.

+ Error: Serializing Infeasible Problem at /var/folders/1v/t69qyl0n5059n6c1nn7sp8zm7g8s6z/T/jl_jNSREb/compact_sim/problems/ED/infeasible_ED_2020-10-06T15:00:00.json

Note that the IIS clearly identify that the issue is happening at time step 26, and constraints are related with the CopperPlateBalanceConstraint__System, with multiple upper bound constraints, for the hybrid system, renewable units and thermal units. This highlights that there may not be enough generation in the system. Indeed, by enabling system slacks, the problem become feasible.

Finally, the infeasible model is exported in a json file that can be loaded directly in JuMP to be explored. More information about this is available here.

diff --git a/previews/PR1130/modeler_guide/definitions/index.html b/previews/PR1130/modeler_guide/definitions/index.html index a54a1cfe71..97c3d6a0a5 100644 --- a/previews/PR1130/modeler_guide/definitions/index.html +++ b/previews/PR1130/modeler_guide/definitions/index.html @@ -12,4 +12,4 @@ "regularization" => false, ), ), -)

Changing the attributes between true or false can enable/disable multiple aspects of the formulation.

C

D

E

F

H

I

R

S

T

+)

Changing the attributes between true or false can enable/disable multiple aspects of the formulation.

C

D

E

F

H

I

R

S

T

diff --git a/previews/PR1130/modeler_guide/logging/index.html b/previews/PR1130/modeler_guide/logging/index.html index f6afce8792..d10f1ff0f3 100644 --- a/previews/PR1130/modeler_guide/logging/index.html +++ b/previews/PR1130/modeler_guide/logging/index.html @@ -8,4 +8,4 @@ )

Configuring the simulation logger

You can configure the logging level used by the simulation logger when you call build!(simulation). Here is an example that increases logging verbosity:

import Logging
 using PowerSimulations
 simulation = Simulation(...)
-build!(simulation, console_level = Logging.Info, file_level = Logging.Debug)

The log file will be located at <your-output-path>/<simulation-name>/<run-output-dir>/logs/simulation.log.

Solver logs

You can configure logging for the solver you use. Refer to the solver documentation. PowerSimulations does not redirect or intercept prints to stdout or stderr from other libraries.

Recorder events

PowerSimulations uses the InfrastructureSystems.Recorder to store simulation events in a log file. Refer to this link for more information.

+build!(simulation, console_level = Logging.Info, file_level = Logging.Debug)

The log file will be located at <your-output-path>/<simulation-name>/<run-output-dir>/logs/simulation.log.

Solver logs

You can configure logging for the solver you use. Refer to the solver documentation. PowerSimulations does not redirect or intercept prints to stdout or stderr from other libraries.

Recorder events

PowerSimulations uses the InfrastructureSystems.Recorder to store simulation events in a log file. Refer to this link for more information.

diff --git a/previews/PR1130/modeler_guide/modeling_faq/index.html b/previews/PR1130/modeler_guide/modeling_faq/index.html index bef3ef5408..ec7aff8d96 100644 --- a/previews/PR1130/modeler_guide/modeling_faq/index.html +++ b/previews/PR1130/modeler_guide/modeling_faq/index.html @@ -1,2 +1,2 @@ -Modeling FAQ · PowerSimulations.jl

Modeling FAQ

How do I reduce the amount of print on my REPL?

The print to the REPL is controlled with the logging. Check the Logging documentation page to see how to reduce the print out

How do I print the optimizer logs to see the solution process?

When specifying the DecisionModel or EmulationModel pass the keyword print_optimizer_log = true

+Modeling FAQ · PowerSimulations.jl

Modeling FAQ

How do I reduce the amount of print on my REPL?

The print to the REPL is controlled with the logging. Check the Logging documentation page to see how to reduce the print out

How do I print the optimizer logs to see the solution process?

When specifying the DecisionModel or EmulationModel pass the keyword print_optimizer_log = true

diff --git a/previews/PR1130/modeler_guide/parallel_simulations/index.html b/previews/PR1130/modeler_guide/parallel_simulations/index.html index 79bcf54193..a72652f1b8 100644 --- a/previews/PR1130/modeler_guide/parallel_simulations/index.html +++ b/previews/PR1130/modeler_guide/parallel_simulations/index.html @@ -102,4 +102,4 @@ project_path=".", # This optionally specifies the Julia project environment to load. ) Created Jade configuration in config.json. Run 'jade submit-jobs [options] config.json' to execute them.

Exit Julia.

  1. View the configuration for accuracy.
$ jade config show config.json
  1. Start an interactive session on a debug node. Do not submit the jobs on a login node! The submission step will run a full build of the simulation and that may consume too many CPU and memory resources for the login node.
$ salloc -t 01:00:00 -N1 --account=<your-account> --partition=debug
  1. Follow the instructions at https://nrel.github.io/jade/tutorial.html to submit the jobs. The example below will configure Jade to run each partition on its own compute node. Depending on the compute and memory constraints of your simulation, you may be able to pack more jobs on each node.

    Adjust the walltime as necessary.

$ jade config hpc -c hpc_config.toml -t slurm  --walltime=04:00:00 -a <your-account>
-$ jade submit-jobs config.json --per-node-batch-size=1 -o output

If you are unsure about how much memory and CPU resources your simulation consumes, add these options:

$ jade submit-jobs config.json --per-node-batch-size=1 -o output --resource-monitor-type periodic --resource-monitor-interval 3

Jade will create HTML plots of the resource utilization in output/stats. You may be able to customize --per-node-batch-size and --num-processes to finish the simulations more quickly.

  1. Jade will run a final command to join the simulation partitions into one unified file. You can load the results as you normally would.
julia> results = SimulationResults("<output-dir>/job-outputs/<simulation-name>")

Note the log files and results for each partition are located in <output-dir>/job-outputs/<simulation-name>/simulation_partitions

+$ jade submit-jobs config.json --per-node-batch-size=1 -o output

If you are unsure about how much memory and CPU resources your simulation consumes, add these options:

$ jade submit-jobs config.json --per-node-batch-size=1 -o output --resource-monitor-type periodic --resource-monitor-interval 3

Jade will create HTML plots of the resource utilization in output/stats. You may be able to customize --per-node-batch-size and --num-processes to finish the simulations more quickly.

  1. Jade will run a final command to join the simulation partitions into one unified file. You can load the results as you normally would.
julia> results = SimulationResults("<output-dir>/job-outputs/<simulation-name>")

Note the log files and results for each partition are located in <output-dir>/job-outputs/<simulation-name>/simulation_partitions

diff --git a/previews/PR1130/modeler_guide/problem_templates/index.html b/previews/PR1130/modeler_guide/problem_templates/index.html index 04f9092627..fbe7bf6a56 100644 --- a/previews/PR1130/modeler_guide/problem_templates/index.html +++ b/previews/PR1130/modeler_guide/problem_templates/index.html @@ -8,7 +8,7 @@ # Accepted Key Words - `network::Type{<:PM.AbstractPowerModel}` : override default network model settings - `devices::Vector{DeviceModel}` : override default `DeviceModel` settings -- `services::Vector{ServiceModel}` : override default `ServiceModel` settingssource
template_economic_dispatch()
+- `services::Vector{ServiceModel}` : override default `ServiceModel` settingssource
template_economic_dispatch()
@@ -131,7 +131,7 @@ # Accepted Key Words - `network::Type{<:PM.AbstractPowerModel}` : override default network model settings - `devices::Vector{DeviceModel}` : override default `DeviceModel` settings -- `services::Vector{ServiceModel}` : override default `ServiceModel` settingssource
template_unit_commitment()
Network Model
+- `services::Vector{ServiceModel}` : override default `ServiceModel` settingssource
template_unit_commitment()
@@ -249,4 +249,4 @@
Network Model
- + diff --git a/previews/PR1130/modeler_guide/psi_structure/index.html b/previews/PR1130/modeler_guide/psi_structure/index.html index bd2d5b4a31..89519948c1 100644 --- a/previews/PR1130/modeler_guide/psi_structure/index.html +++ b/previews/PR1130/modeler_guide/psi_structure/index.html @@ -1,2 +1,2 @@ -PowerSimulations.jl Modeling Structure · PowerSimulations.jl

PowerSimulations.jl Modeling Structure

PowerSimulations enables the simulation of a sequence of power systems optimization problems and provides user control over each aspect of the simulation configuration. Specifically:

What is the difference between a Model and a Problem?

A "Problem" is an abstract mathematical description of how to represent power system behavior, whereas a "Model" is a concrete representation of a "Problem" applied to a dataset. I.e. once a Problem is populated with data describing all the loads, generators, lines, etc., it becomes a Model.

+PowerSimulations.jl Modeling Structure · PowerSimulations.jl

PowerSimulations.jl Modeling Structure

PowerSimulations enables the simulation of a sequence of power systems optimization problems and provides user control over each aspect of the simulation configuration. Specifically:

What is the difference between a Model and a Problem?

A "Problem" is an abstract mathematical description of how to represent power system behavior, whereas a "Model" is a concrete representation of a "Problem" applied to a dataset. I.e. once a Problem is populated with data describing all the loads, generators, lines, etc., it becomes a Model.

diff --git a/previews/PR1130/modeler_guide/read_results/index.html b/previews/PR1130/modeler_guide/read_results/index.html index b67caadc2d..0924bd4eff 100644 --- a/previews/PR1130/modeler_guide/read_results/index.html +++ b/previews/PR1130/modeler_guide/read_results/index.html @@ -124,4 +124,4 @@ 190 │ 2020-10-09T21:00:00 -7.65965e-12 293.333 60.6667 0.0 124.0 0.0 0.0 0.0 76.0 0.0 191 │ 2020-10-09T22:00:00 0.0 0.0 60.6667 0.0 124.0 0.0 0.0 0.0 76.0 7.156 192 │ 2020-10-09T23:00:00 0.0 0.0 60.6667 0.0 117.81 0.0 0.0 0.0 76.0 0.0 - 44 columns and 180 rows omitted

In this case, the 8 simulation steps of 24 hours (192 hours), in a single DataFrame, to enable easy exploration of the realized results for the user.

+ 44 columns and 180 rows omitted

In this case, the 8 simulation steps of 24 hours (192 hours), in a single DataFrame, to enable easy exploration of the realized results for the user.

diff --git a/previews/PR1130/modeler_guide/running_a_simulation/index.html b/previews/PR1130/modeler_guide/running_a_simulation/index.html index cf6713dca9..ec2826108a 100644 --- a/previews/PR1130/modeler_guide/running_a_simulation/index.html +++ b/previews/PR1130/modeler_guide/running_a_simulation/index.html @@ -72,4 +72,4 @@ build!(sim) # Execute the simulation using the Optimizer specified in each DecisionModel -execute!(sim, enable_progress_bar=true)

Check the PCM tutorial for a more detailed tutorial on executing a simulation in a production cost modeling (PCM) environment.

+execute!(sim, enable_progress_bar=true)

Check the PCM tutorial for a more detailed tutorial on executing a simulation in a production cost modeling (PCM) environment.

diff --git a/previews/PR1130/modeler_guide/simulation_recorder/index.html b/previews/PR1130/modeler_guide/simulation_recorder/index.html index 64ef77cd35..cd15f42ff4 100644 --- a/previews/PR1130/modeler_guide/simulation_recorder/index.html +++ b/previews/PR1130/modeler_guide/simulation_recorder/index.html @@ -40,4 +40,4 @@ │ ProblemExecutionEvent │ 2024-01-01T20:00:00 │ 1 │ 2 │ start │ │ ProblemExecutionEvent │ 2024-01-01T21:00:00 │ 1 │ 2 │ start │ │ ProblemExecutionEvent │ 2024-01-01T22:00:00 │ 1 │ 2 │ start │ -└──────────────────────┴─────────────────────┴──────┴───────┴────────┘ +└──────────────────────┴─────────────────────┴──────┴───────┴────────┘ diff --git a/previews/PR1130/modeler_guide/tips_and_tricks/index.html b/previews/PR1130/modeler_guide/tips_and_tricks/index.html index 5229bf38aa..319ddba17c 100644 --- a/previews/PR1130/modeler_guide/tips_and_tricks/index.html +++ b/previews/PR1130/modeler_guide/tips_and_tricks/index.html @@ -1,2 +1,2 @@ -Tips and tricks · PowerSimulations.jl
+Tips and tricks · PowerSimulations.jl
diff --git a/previews/PR1130/quick_start_guide/index.html b/previews/PR1130/quick_start_guide/index.html index 6bbc0ee87c..764f725be8 100644 --- a/previews/PR1130/quick_start_guide/index.html +++ b/previews/PR1130/quick_start_guide/index.html @@ -1,2 +1,2 @@ -Quick Start Guide · PowerSimulations.jl

Quick Start Guide

Tip

If you need to develop a dataset for a simulation check the PowerSystems.jl Tutorials on how to parse data and attach time series

  • Tutorial: If you are eager to run your first simulation visit the Solve a Day Ahead Market Scheduling Problem using PowerSimulations.jl tutorial
+Quick Start Guide · PowerSimulations.jl

Quick Start Guide

Tip

If you need to develop a dataset for a simulation check the PowerSystems.jl Tutorials on how to parse data and attach time series

  • Tutorial: If you are eager to run your first simulation visit the Solve a Day Ahead Market Scheduling Problem using PowerSimulations.jl tutorial
diff --git a/previews/PR1130/search/index.html b/previews/PR1130/search/index.html index a8e7b95a4e..4668dc46da 100644 --- a/previews/PR1130/search/index.html +++ b/previews/PR1130/search/index.html @@ -1,2 +1,2 @@ -Search · PowerSimulations.jl

Loading search...

    +Search · PowerSimulations.jl

    Loading search...

      diff --git a/previews/PR1130/tutorials/adding_new_device_formulation/index.html b/previews/PR1130/tutorials/adding_new_device_formulation/index.html index d6f7c16563..b8fc8d1990 100644 --- a/previews/PR1130/tutorials/adding_new_device_formulation/index.html +++ b/previews/PR1130/tutorials/adding_new_device_formulation/index.html @@ -1,2 +1,2 @@ -Adding Device Formulations · PowerSimulations.jl
      +Adding Device Formulations · PowerSimulations.jl
      diff --git a/previews/PR1130/tutorials/adding_new_problem_model/index.html b/previews/PR1130/tutorials/adding_new_problem_model/index.html index 11d6a53644..0fdbda644a 100644 --- a/previews/PR1130/tutorials/adding_new_problem_model/index.html +++ b/previews/PR1130/tutorials/adding_new_problem_model/index.html @@ -73,4 +73,4 @@ end return - end + end diff --git a/previews/PR1130/tutorials/basics_of_developing_models/index.html b/previews/PR1130/tutorials/basics_of_developing_models/index.html index 158a1efafd..ee1a6d03cd 100644 --- a/previews/PR1130/tutorials/basics_of_developing_models/index.html +++ b/previews/PR1130/tutorials/basics_of_developing_models/index.html @@ -1,2 +1,2 @@ -Basics of Developing Operation Models · PowerSimulations.jl
      +Basics of Developing Operation Models · PowerSimulations.jl
      diff --git a/previews/PR1130/tutorials/decision_problem/index.html b/previews/PR1130/tutorials/decision_problem/index.html index 9174ef3133..a6ce689ec7 100644 --- a/previews/PR1130/tutorials/decision_problem/index.html +++ b/previews/PR1130/tutorials/decision_problem/index.html @@ -305,5 +305,124 @@

      Service Formulations

      We have two VariableReserve types, parameterized by their direction. So, similar to creating DeviceModels, we can create ServiceModels. The primary difference being that DeviceModel objects define how constraints get created, while ServiceModel objects define how constraints get modified.

      set_service_model!(template_uc, VariableReserve{ReserveUp}, RangeReserve)
       set_service_model!(template_uc, VariableReserve{ReserveDown}, RangeReserve)

      Network Formulations

      Finally, we can define the transmission network specification that we'd like to model. For simplicity, we'll choose a copper plate formulation. But there are dozens of specifications available through an integration with PowerModels.jl. Note that many formulations will require appropriate data and may be computationally intractable

      set_network_model!(template_uc, NetworkModel(CopperPlatePowerModel))

      DecisionModel

      Now that we have a System and an ProblemTemplate, we can put the two together to create an DecisionModel that we solve.

      Optimizer

      It's most convenient to define an optimizer instance upfront and pass it into the DecisionModel constructor. For this example, we can use the free HiGHS solver with a relatively relaxed MIP gap (ratioGap) setting to improve speed.

      solver = optimizer_with_attributes(HiGHS.Optimizer, "mip_rel_gap" => 0.5)
      MathOptInterface.OptimizerWithAttributes(HiGHS.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("mip_rel_gap") => 0.5])

      Build an DecisionModel

      The construction of an DecisionModel essentially applies an ProblemTemplate to System data to create a JuMP model.

      problem = DecisionModel(template_uc, sys; optimizer = solver, horizon = Hour(24))
      -build!(problem, output_dir = mktempdir())
      InfrastructureSystems.Optimization.ModelBuildStatusModule.ModelBuildStatus.FAILED = 1
      Tip

      The principal component of the DecisionModel is the JuMP model. But you can serialize to a file using the following command:

          serialize_optimization_model(problem, save_path)

      Keep in mind that if the setting "storevariablenames" is set to False then the file won't show the model's names.

      Solve an DecisionModel

      solve!(problem)

      Results Inspection

      PowerSimulations collects the DecisionModel results into a OptimizationProblemResults struct:

      res = OptimizationProblemResults(problem)

      Optimizer Stats

      The optimizer summary is included

      get_optimizer_stats(res)

      Objective Function Value

      get_objective_value(res)

      Variable, Parameter, Auxillary Variable, Dual, and Expression Values

      The solution value data frames for variables, parameters, auxillary variables, duals and expressions can be accessed using the read_ methods:

      read_variables(res)

      Or, you can read a single parameter values for parameters that exist in the results.

      list_parameter_names(res)
      -read_parameter(res, "ActivePowerTimeSeriesParameter__RenewableDispatch")

      Plotting

      Take a look at the plotting capabilities in PowerGraphics.jl

      +build!(problem, output_dir = mktempdir())
      InfrastructureSystems.Optimization.ModelBuildStatusModule.ModelBuildStatus.BUILT = 0
      Tip

      The principal component of the DecisionModel is the JuMP model. But you can serialize to a file using the following command:

          serialize_optimization_model(problem, save_path)

      Keep in mind that if the setting "storevariablenames" is set to False then the file won't show the model's names.

      Solve an DecisionModel

      solve!(problem)
      InfrastructureSystems.Simulation.RunStatusModule.RunStatus.SUCCESSFULLY_FINALIZED = 0

      Results Inspection

      PowerSimulations collects the DecisionModel results into a OptimizationProblemResults struct:

      res = OptimizationProblemResults(problem)

      Start: 2020-01-01T00:00:00

      +

      End: 2020-01-01T23:00:00

      +

      Resolution: 60 minutes

      + + + + + + + + + + + + + + +
      PowerSimulations Problem Auxiliary variables Results
      TimeDurationOff__ThermalStandard
      HydroEnergyOutput__HydroDispatch
      TimeDurationOn__ThermalStandard
      + + + + + + + + + + + + + + + + + +
      PowerSimulations Problem Expressions Results
      ActivePowerBalance__System
      ProductionCostExpression__ThermalStandard
      ProductionCostExpression__RenewableDispatch
      ProductionCostExpression__HydroDispatch
      + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
      PowerSimulations Problem Parameters Results
      ActivePowerTimeSeriesParameter__PowerLoad
      ActivePowerTimeSeriesParameter__RenewableDispatch
      RequirementTimeSeriesParameter__VariableReserve__ReserveDown__Reg_Down
      RequirementTimeSeriesParameter__VariableReserve__ReserveUp__Reg_Up
      RequirementTimeSeriesParameter__VariableReserve__ReserveUp__Spin_Up_R2
      RequirementTimeSeriesParameter__VariableReserve__ReserveUp__Spin_Up_R3
      RequirementTimeSeriesParameter__VariableReserve__ReserveUp__Spin_Up_R1
      ActivePowerTimeSeriesParameter__HydroDispatch
      ActivePowerTimeSeriesParameter__RenewableNonDispatch
      + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
      PowerSimulations Problem Variables Results
      ActivePowerReserveVariable__VariableReserve__ReserveUp__Reg_Up
      ActivePowerReserveVariable__VariableReserve__ReserveUp__Spin_Up_R2
      ActivePowerVariable__RenewableDispatch
      StopVariable__ThermalStandard
      OnVariable__ThermalStandard
      StartVariable__ThermalStandard
      ActivePowerReserveVariable__VariableReserve__ReserveUp__Spin_Up_R3
      ActivePowerVariable__ThermalStandard
      ActivePowerReserveVariable__VariableReserve__ReserveDown__Reg_Down
      ActivePowerVariable__HydroDispatch
      ActivePowerReserveVariable__VariableReserve__ReserveUp__Spin_Up_R1
      +

      Optimizer Stats

      The optimizer summary is included

      get_optimizer_stats(res)
      1×21 DataFrame
      Rowdetailed_statsobjective_valuetermination_statusprimal_statusdual_statussolver_solve_timeresult_counthas_valueshas_dualsobjective_boundrelative_gapdual_objective_valuesolve_timebarrier_iterationssimplex_iterationsnode_counttimed_solve_timetimed_calculate_aux_variablestimed_calculate_dual_variablessolve_bytes_allocsec_in_gc
      BoolFloat64Int64Int64Int64Float64Int64BoolBoolMissingMissingMissingFloat64MissingMissingMissingFloat64Float64Float64Float64Float64
      1false2.3571e6110NaN1falsefalsemissingmissingmissing0.627644missingmissingmissing0.7065360.3234990.0004290182.94527e70.0

      Objective Function Value

      get_objective_value(res)
      2.357099085649291e6

      Variable, Parameter, Auxillary Variable, Dual, and Expression Values

      The solution value data frames for variables, parameters, auxillary variables, duals and expressions can be accessed using the read_ methods:

      read_variables(res)
      Dict{String, DataFrames.DataFrame} with 11 entries:
      +  "ActivePowerReserveVaria… => 24×52 DataFrame…
      +  "ActivePowerReserveVaria… => 24×52 DataFrame…
      +  "StopVariable__ThermalSt… => 24×55 DataFrame…
      +  "OnVariable__ThermalStan… => 24×55 DataFrame…
      +  "ActivePowerVariable__Hy… => 24×2 DataFrame…
      +  "ActivePowerReserveVaria… => 24×19 DataFrame…
      +  "StartVariable__ThermalS… => 24×55 DataFrame…
      +  "ActivePowerVariable__Th… => 24×55 DataFrame…
      +  "ActivePowerVariable__Re… => 24×30 DataFrame…
      +  "ActivePowerReserveVaria… => 24×18 DataFrame…
      +  "ActivePowerReserveVaria… => 24×17 DataFrame…

      Or, you can read a single parameter values for parameters that exist in the results.

      list_parameter_names(res)
      +read_parameter(res, "ActivePowerTimeSeriesParameter__RenewableDispatch")
      24×30 DataFrame
      RowDateTime122_WIND_1324_PV_3312_PV_1102_PV_1101_PV_1324_PV_2313_PV_2104_PV_1101_PV_2309_WIND_1310_PV_2113_PV_1317_WIND_1314_PV_1324_PV_1103_PV_1303_WIND_1314_PV_2102_PV_2314_PV_3320_PV_1101_PV_3319_PV_1314_PV_4310_PV_1215_PV_1313_PV_1101_PV_4119_PV_1
      DateTimeFloat64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64Float64
      12020-01-01T00:00:00713.20.00.00.00.00.00.00.00.0142.80.00.0795.10.00.00.0480.80.00.00.00.00.00.00.00.00.00.00.00.0
      22020-01-01T01:00:00712.80.00.00.00.00.00.00.00.0139.10.00.0794.40.00.00.0634.90.00.00.00.00.00.00.00.00.00.00.00.0
      32020-01-01T02:00:00708.40.00.00.00.00.00.00.00.0145.30.00.0773.60.00.00.0487.30.00.00.00.00.00.00.00.00.00.00.00.0
      42020-01-01T03:00:00710.70.00.00.00.00.00.00.00.0144.80.00.0767.30.00.00.0432.70.00.00.00.00.00.00.00.00.00.00.00.0
      52020-01-01T04:00:00701.40.00.00.00.00.00.00.00.0137.10.00.0752.20.00.00.0407.90.00.00.00.00.00.00.00.00.00.00.00.0
      62020-01-01T05:00:00682.50.00.00.00.00.00.00.00.098.60.00.0719.40.00.00.0440.20.00.00.00.00.00.00.00.00.00.00.00.0
      72020-01-01T06:00:00614.70.00.00.00.00.00.00.00.062.20.00.0655.30.00.00.0377.30.00.00.00.00.00.00.00.00.00.00.00.0
      82020-01-01T07:00:00517.736.452.230.629.636.462.229.830.447.338.299.4594.647.444.829.8199.346.630.063.847.830.6179.246.438.2127.662.228.827.2
      92020-01-01T08:00:00426.663.497.436.834.863.496.035.037.048.961.4126.2579.161.265.258.4110.667.036.4100.061.437.4248.067.061.4164.695.635.456.6
      102020-01-01T09:00:00274.271.2118.038.036.471.4117.636.638.230.766.8133.2466.869.068.076.63.669.837.6121.869.838.8273.469.866.8172.2116.835.874.8
      112020-01-01T10:00:0093.072.2132.037.836.472.2130.836.638.027.470.2134.2301.470.270.289.82.472.237.4129.070.438.6277.872.270.4173.2128.437.488.2
      122020-01-01T11:00:006.370.6135.237.035.070.6134.235.437.260.969.8135.2110.767.070.298.056.272.436.6128.667.237.6263.272.469.6170.0133.238.691.6
      132020-01-01T12:00:003.867.4131.036.235.467.4129.635.636.420.467.8133.078.967.268.294.091.570.235.8128.267.437.0267.470.267.6169.0128.837.890.6
      142020-01-01T13:00:001.165.2125.435.235.065.2123.635.435.41.667.2126.6107.967.065.881.4103.067.634.8119.667.035.8258.867.667.0161.8122.835.879.2
      152020-01-01T14:00:000.060.2109.631.031.060.4108.031.431.20.063.2110.222.359.462.659.439.764.230.8107.059.431.6227.864.262.8143.2106.831.459.0
      162020-01-01T15:00:000.042.069.020.219.242.065.620.620.22.645.062.824.642.444.825.487.746.220.065.843.420.6151.646.243.882.262.820.427.8
      172020-01-01T16:00:000.90.00.00.00.00.00.00.00.037.90.00.010.80.00.00.092.30.00.00.00.00.00.00.00.00.00.00.00.0
      182020-01-01T17:00:00276.30.00.00.00.00.00.00.00.046.90.00.0243.20.00.00.089.40.00.00.00.00.00.00.00.00.00.00.00.0
      192020-01-01T18:00:00272.90.00.00.00.00.00.00.00.024.00.00.0375.20.00.00.090.40.00.00.00.00.00.00.00.00.00.00.00.0
      202020-01-01T19:00:00345.60.00.00.00.00.00.00.00.024.00.00.0568.40.00.00.081.10.00.00.00.00.00.00.00.00.00.00.00.0
      212020-01-01T20:00:00411.70.00.00.00.00.00.00.00.027.40.00.0636.10.00.00.0172.90.00.00.00.00.00.00.00.00.00.00.00.0
      222020-01-01T21:00:00376.60.00.00.00.00.00.00.00.06.50.00.0719.20.00.00.0326.90.00.00.00.00.00.00.00.00.00.00.00.0
      232020-01-01T22:00:00561.30.00.00.00.00.00.00.00.01.30.00.0734.90.00.00.0256.70.00.00.00.00.00.00.00.00.00.00.00.0
      242020-01-01T23:00:00568.40.00.00.00.00.00.00.00.00.10.00.0729.10.00.00.0141.10.00.00.00.00.00.00.00.00.00.00.00.0

      Plotting

      Take a look at the plotting capabilities in PowerGraphics.jl

      diff --git a/previews/PR1130/tutorials/pcm_simulation/index.html b/previews/PR1130/tutorials/pcm_simulation/index.html index 456122f0f6..7279290d7f 100644 --- a/previews/PR1130/tutorials/pcm_simulation/index.html +++ b/previews/PR1130/tutorials/pcm_simulation/index.html @@ -863,7 +863,7 @@

      Simu -

      Build simulation

      build!(sim)

      Execute simulation

      the following command returns the status of the simulation (0: is proper execution) and stores the results in a set of HDF5 files on disk.

      execute!(sim, enable_progress_bar = false)

      Results

      To access the results, we need to load the simulation result metadata and then make requests to the specific data of interest. This allows you to efficiently access the results of interest without overloading resources.

      results = SimulationResults(sim);
      +

      Build simulation

      build!(sim)
      InfrastructureSystems.Simulation.SimulationBuildStatusModule.SimulationBuildStatus.BUILT = 0

      Execute simulation

      the following command returns the status of the simulation (0: is proper execution) and stores the results in a set of HDF5 files on disk.

      execute!(sim, enable_progress_bar = false)
      InfrastructureSystems.Simulation.RunStatusModule.RunStatus.FAILED = 2

      Results

      To access the results, we need to load the simulation result metadata and then make requests to the specific data of interest. This allows you to efficiently access the results of interest without overloading resources.

      results = SimulationResults(sim);
       uc_results = get_decision_problem_results(results, "UC"); # UC stage result metadata
       ed_results = get_decision_problem_results(results, "ED"); # ED stage result metadata

      We can read all the result variables

      read_variables(uc_results)

      or all the parameters

      read_parameters(uc_results)

      We can just list the variable names contained in uc_results:

      list_variable_names(uc_results)

      and a number of parameters (this pattern also works for aux_variables, expressions, and duals)

      list_parameter_names(uc_results)

      Now we can read the specific results of interest for a specific problem, time window (optional), and set of variables, duals, or parameters (optional)

      Dict([
           v => read_variable(uc_results, v) for v in [
      @@ -880,4 +880,4 @@ 

      Plotting

      Take a look at the plotting capabilities in PowerGraphics.jl

      +rm(path, force = true, recursive = true) #hide

      Plotting

      Take a look at the plotting capabilities in PowerGraphics.jl

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zzjK~en^wfbhG!3v30?H_Pwq|gxD!Ie&KYdeZf)#{5W1+{+SQ*4{X4c>n>i{QXzP8= zo&U`G|GT$dnUa~LPS~XV;NwA|GdF3|KNZ4uP9_c6`p&?4qbCkPRnKmdyEIOfbBZjrT=iwoAk$;h-d}KC4_Ur!xQ7%P@ literal 0 HcmV?d00001 diff --git a/previews/PR1130/tutorials/rts-store/rts-test/logs/simulation.log b/previews/PR1130/tutorials/rts-store/rts-test/logs/simulation.log index 4bf2db688f..f8ef71f3f1 100644 --- a/previews/PR1130/tutorials/rts-store/rts-test/logs/simulation.log +++ b/previews/PR1130/tutorials/rts-store/rts-test/logs/simulation.log @@ -1,15 +1,80 @@ -┌ Info: 2024-07-29T23:16:19.522 [3388:1]: Initializing Optimization Container For a DecisionModel +┌ Info: 2024-07-29T23:54:46.191 [3341:1]: Initializing Optimization Container For a DecisionModel └ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:323 -┌ Info: 2024-07-29T23:16:19.523 [3388:1]: Initializing ModelStoreParams +┌ Info: 2024-07-29T23:54:46.192 [3341:1]: Initializing ModelStoreParams └ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:329 -┌ Info: 2024-07-29T23:16:19.523 [3388:1]: Instantiating Network Model +┌ Info: 2024-07-29T23:54:46.192 [3341:1]: Instantiating Network Model └ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:338 -┌ Info: 2024-07-29T23:16:19.523 [3388:1]: Validating connectivity with depth first search (network traversal) +┌ Info: 2024-07-29T23:54:46.192 [3341:1]: Validating connectivity with depth first search (network traversal) └ @ PowerNetworkMatrices /home/runner/.julia/packages/PowerNetworkMatrices/mKnwZ/src/system_utils.jl:12 -┌ Info: 2024-07-29T23:16:19.524 [3388:1]: Make Initial Conditions Model +┌ Info: 2024-07-29T23:54:46.192 [3341:1]: Make Initial Conditions Model └ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:230 -┌ Error: 2024-07-29T23:16:20.504 [3388:1]: Failed to build UC -└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/simulation/simulation.jl:344 -┌ Error: 2024-07-29T23:16:20.635 [3388:1]: Simulation build failed -│ exception = (UndefVarError(:devices), Union{Ptr{Nothing}, Base.InterpreterIP}[Ptr{Nothing} @0x00007f09e22c9564, Ptr{Nothing} @0x00007f09b1d0e6aa, Ptr{Nothing} @0x00007f09b1d0e6e5, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09b5dea55e, Ptr{Nothing} @0x00007f09b5dee04f, Ptr{Nothing} @0x00007f09b5deeca8, Ptr{Nothing} @0x00007f09b290dbf8, Ptr{Nothing} @0x00007f09b2910470, Ptr{Nothing} @0x00007f09b135f8f2, Ptr{Nothing} @0x00007f09b13600b3, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09b1326229, Ptr{Nothing} @0x00007f09b13576ba, Ptr{Nothing} @0x00007f09b1358786, Ptr{Nothing} @0x00007f09b13587b9, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09b131ff1f, Ptr{Nothing} @0x00007f09b13209d2, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09cbff7475, Ptr{Nothing} @0x00007f09b131f1c5, Ptr{Nothing} @0x00007f09b131fc27, Ptr{Nothing} @0x00007f09b131fc65, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e2264dd4, Ptr{Nothing} @0x00007f09e22648c4, Ptr{Nothing} @0x00007f09e2265623, Ptr{Nothing} @0x00007f09e22663fd, Base.InterpreterIP in top-level CodeInfo for Main.__atexample__named__pcm at statement 0, Ptr{Nothing} @0x00007f09e22822e4, Ptr{Nothing} @0x00007f09e2282a99, Ptr{Nothing} @0x00007f09e2283eab, Ptr{Nothing} @0x00007f09b7af7ac4, Ptr{Nothing} @0x00007f09b7af7d85, Ptr{Nothing} @0x00007f09b7af8642, Ptr{Nothing} @0x00007f09b7af8c02, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09cbff7475, Ptr{Nothing} @0x00007f09b7af7160, Ptr{Nothing} @0x00007f09b7af7363, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09b7af6056, Ptr{Nothing} @0x00007f09b7af6099, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09b7af3dcc, Ptr{Nothing} @0x00007f09b7af5e41, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e2259548, Ptr{Nothing} @0x00007f09e1d4f46a, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e1d4e71b, Ptr{Nothing} @0x00007f09e1d4eb9e, Ptr{Nothing} @0x00007f09e1d4ee26, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e1cbc310, Ptr{Nothing} @0x00007f09e1cbc4ba, Ptr{Nothing} @0x00007f09e1cbc94e, Ptr{Nothing} @0x00007f09e1cbcab9, Ptr{Nothing} @0x00007f09e1cbcaf5, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e1ca2572, Ptr{Nothing} @0x00007f09e2282603, Ptr{Nothing} @0x00007f09e2282a99, Ptr{Nothing} @0x00007f09e2283eab, Ptr{Nothing} @0x00007f09cd236331, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09cc479460, Ptr{Nothing} @0x00007f09cc62e2de, Ptr{Nothing} @0x00007f09cca285ca, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09ccb50e13, Ptr{Nothing} @0x00007f09cc79327d, Ptr{Nothing} @0x00007f09cc7933b3, Ptr{Nothing} @0x00007f09e2246f8d, Ptr{Nothing} @0x00007f09e22b1ec5, Ptr{Nothing} @0x00007f09e22b294e, Ptr{Nothing} @0x0000000000401088, Ptr{Nothing} @0x00007f09e3029d8f, Ptr{Nothing} @0x00007f09e3029e3f, Ptr{Nothing} @0x00000000004010b8]) -└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/simulation/simulation.jl:725 +┌ Warning: 2024-07-29T23:54:47.367 [3341:1]: CopperPlatePowerModel models with HVDC ignores inter-area losses +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/devices_models/device_constructors/branch_constructor.jl:764 +┌ Info: 2024-07-29T23:54:47.367 [3341:1]: Solving Initialization Model for UC +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:248 +┌ Info: 2024-07-29T23:54:47.541 [3341:1]: Serialized initial conditions to ./rts-store/rts-test/problems/UC/initial_conditions.bin +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:263 +┌ Warning: 2024-07-29T23:54:48.802 [3341:1]: CopperPlatePowerModel models with HVDC ignores inter-area losses +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/devices_models/device_constructors/branch_constructor.jl:764 +┌ Info: 2024-07-29T23:54:48.960 [3341:1]: UC optimizer set to: HiGHS +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:356 +┌ Info: 2024-07-29T23:54:48.960 [3341:1]: Checking Numerical Bounds +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:359 +┌ Info: 2024-07-29T23:54:49.034 [3341:1]: Variable bounds range is [0.0 8.47] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:317 +┌ Info: 2024-07-29T23:54:49.085 [3341:1]: Constraint coefficient bounds range is [-0.22 4380.0] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:327 +┌ Info: 2024-07-29T23:54:49.085 [3341:1]: Constraint right-hand-side bounds [0.06 48.0] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:336 +┌ Info: 2024-07-29T23:54:49.085 [3341:1]: Initializing Optimization Container For a DecisionModel +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:323 +┌ Info: 2024-07-29T23:54:49.157 [3341:1]: Initializing ModelStoreParams +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:329 +┌ Info: 2024-07-29T23:54:49.157 [3341:1]: Instantiating Network Model +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/decision_model.jl:338 +┌ Info: 2024-07-29T23:54:52.387 [3341:1]: PTDF Matrix not provided. Calculating using PowerNetworkMatrices.PTDF +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/core/network_model.jl:128 +┌ Info: 2024-07-29T23:54:52.611 [3341:1]: Make Initial Conditions Model +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:230 +┌ Info: 2024-07-29T23:54:52.611 [3341:1]: No initial conditions in the model +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:175 +┌ Info: 2024-07-29T23:54:59.031 [3341:1]: ED optimizer set to: HiGHS +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:356 +┌ Info: 2024-07-29T23:54:59.031 [3341:1]: Checking Numerical Bounds +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:359 +┌ Info: 2024-07-29T23:54:59.130 [3341:1]: Variable bounds range is [0.0 8.47] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:317 +┌ Info: 2024-07-29T23:54:59.495 [3341:1]: Constraint coefficient bounds range is [-0.0004075431001902156 1.0e6] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:327 +┌ Info: 2024-07-29T23:54:59.495 [3341:1]: Constraint right-hand-side bounds [1.0 1.0] +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_interface.jl:336 +┌ Info: 2024-07-29T23:54:59.886 [3341:1]: Reconciling initial conditions across models UC, ED +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/simulation/simulation.jl:275 +┌ Info: 2024-07-29T23:55:05.877 [3341:1]: Serialized simulation name = rts-test +│ directory = ./rts-store/rts-test/simulation_files +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/simulation/simulation.jl:1174 +┌ Info: 2024-07-29T23:55:05.939 [3341:1]: Serialized time series data to ./rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553_time_series_storage.h5. +└ @ InfrastructureSystems /home/runner/.julia/packages/InfrastructureSystems/QnOPR/src/time_series_storage.jl:89 +┌ Info: 2024-07-29T23:55:05.959 [3341:1]: Serialized System to ./rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553.json +└ @ PowerSystems /home/runner/.julia/packages/PowerSystems/vi3a3/src/base.jl:403 +┌ Info: 2024-07-29T23:55:05.961 [3341:1]: Serialized System metadata to ./rts-store/rts-test/problems/UC/system-c834fa7c-5ca5-44bb-9fdf-5d1bc55d7553_metadata.json +└ @ PowerSystems /home/runner/.julia/packages/PowerSystems/vi3a3/src/base.jl:428 +┌ Info: 2024-07-29T23:55:05.986 [3341:1]: Serialized OperationModel to +│ bin_file_name = ./rts-store/rts-test/problems/UC/model.bin +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_serialization.jl:67 +┌ Info: 2024-07-29T23:55:06.110 [3341:1]: Serialized time series data to ./rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80_time_series_storage.h5. +└ @ InfrastructureSystems /home/runner/.julia/packages/InfrastructureSystems/QnOPR/src/time_series_storage.jl:89 +┌ Info: 2024-07-29T23:55:06.131 [3341:1]: Serialized System to ./rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80.json +└ @ PowerSystems /home/runner/.julia/packages/PowerSystems/vi3a3/src/base.jl:403 +┌ Info: 2024-07-29T23:55:06.133 [3341:1]: Serialized System metadata to ./rts-store/rts-test/problems/ED/system-0867953a-f555-4ab6-a37d-42d259a65e80_metadata.json +└ @ PowerSystems /home/runner/.julia/packages/PowerSystems/vi3a3/src/base.jl:428 +┌ Info: 2024-07-29T23:55:06.208 [3341:1]: Serialized OperationModel to +│ bin_file_name = ./rts-store/rts-test/problems/ED/model.bin +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/operation/operation_model_serialization.jl:67 +┌ Info: 2024-07-29T23:55:09.099 [3341:1]: Initialize store cache +│ get_min_flush_size(store.cache) = 1048576 +│ get_max_size(store.cache) = 1073741824 +└ @ PowerSimulations /home/runner/work/PowerSimulations.jl/PowerSimulations.jl/src/simulation/hdf_simulation_store.jl:249 +┌ Error: 2024-07-29T23:55:22.628 [3341:1]: simulation failed +│ exception = (KeyError("113"), Union{Ptr{Nothing}, Base.InterpreterIP}[Ptr{Nothing} @0x00007f849bf65db0, Ptr{Nothing} @0x00007f849bf65e33, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f8499fd977c, Ptr{Nothing} @0x00007f8499fd9b19, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f8499fb1927, Ptr{Nothing} @0x00007f8499fb1b19, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f8499f320b3, Ptr{Nothing} @0x00007f8499f37adc, Ptr{Nothing} @0x00007f8499f37b09, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f8499f34b44, Ptr{Nothing} @0x00007f8499f35a21, Ptr{Nothing} @0x00007f8499f37a0f, Ptr{Nothing} @0x00007f8499f37a92, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84b61f7475, Ptr{Nothing} @0x00007f8499f2b6f5, Ptr{Nothing} @0x00007f8499f2bc36, Ptr{Nothing} @0x00007f8499f2bc79, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84cc464dd4, Ptr{Nothing} @0x00007f84cc4648c4, Ptr{Nothing} @0x00007f84cc465623, Ptr{Nothing} @0x00007f84cc4663fd, Base.InterpreterIP in top-level CodeInfo for Main.__atexample__named__pcm at statement 4, Ptr{Nothing} @0x00007f84cc4822e4, Ptr{Nothing} @0x00007f84cc482a99, Ptr{Nothing} @0x00007f84cc483eab, Ptr{Nothing} @0x00007f84a156bad4, Ptr{Nothing} @0x00007f84a156bd95, Ptr{Nothing} @0x00007f84a156c652, Ptr{Nothing} @0x00007f84a156cc12, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84b61f7475, Ptr{Nothing} @0x00007f84a156b170, Ptr{Nothing} @0x00007f84a156b373, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84a156a066, Ptr{Nothing} @0x00007f84a156a0a9, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84a1567ddc, Ptr{Nothing} @0x00007f84a1569e51, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84cc459548, Ptr{Nothing} @0x00007f84c69d02ca, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84c69cf57b, Ptr{Nothing} @0x00007f84c69cf9fe, Ptr{Nothing} @0x00007f84c69cfc86, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84c6937bb0, Ptr{Nothing} @0x00007f84c6937d5a, Ptr{Nothing} @0x00007f84c693d8fe, Ptr{Nothing} @0x00007f84c693da69, Ptr{Nothing} @0x00007f84c693daa5, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84c692352b, Ptr{Nothing} @0x00007f84cc482603, Ptr{Nothing} @0x00007f84cc482a99, Ptr{Nothing} @0x00007f84cc483eab, Ptr{Nothing} @0x00007f84b7436331, Ptr{Nothing} @0x00007f84cc446f8d, Ptr{Nothing} @0x00007f84b6679460, Ptr{Nothing} @0x00007f84b682e2de, Ptr{Nothing} @0x00007f84b6c285ca, Ptr{Nothing} 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