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"""Example script for creating a QA configuration at the scale of the ARIES-CS reactor. | ||
It has the boundary of the "precise QA" configuration, but is solved at finite-beta | ||
and optimized for a self-consistent bootstratp current using the temperature and density | ||
profiles of Landreman, Buller, and Drevlak. | ||
""" | ||
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from desc import set_device | ||
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set_device("gpu") | ||
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import numpy as np | ||
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from desc.compat import rescale | ||
from desc.examples import get | ||
from desc.grid import LinearGrid | ||
from desc.objectives import ( | ||
BootstrapRedlConsistency, | ||
FixAtomicNumber, | ||
FixBoundaryR, | ||
FixBoundaryZ, | ||
FixCurrent, | ||
FixElectronDensity, | ||
FixElectronTemperature, | ||
FixIonTemperature, | ||
FixPsi, | ||
ForceBalance, | ||
ObjectiveFunction, | ||
) | ||
from desc.profiles import PowerSeriesProfile | ||
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# same boundary as the precise_QA equilibrium, but at finite beta | ||
eq = get("precise_QA") | ||
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# kinetic profiles | ||
a = 1.7 # minor radius (ARIES-CS scale) | ||
B = 5.86 # volume average B (ARIES-CS scale) | ||
n0 = 2.38e20 # density on axis (<beta>=2.5%) | ||
T0 = 9.45e3 # density on axis (<beta>=2.5%) | ||
eq.pressure = None | ||
eq.current = PowerSeriesProfile(np.zeros(eq.L + 1), np.arange(eq.L + 1), sym=False) | ||
eq.atomic_number = PowerSeriesProfile([1], [0]) | ||
eq.electron_density = PowerSeriesProfile( | ||
n0 * np.array([1, -1]), np.array([0, 10]), sym=True | ||
) | ||
eq.electron_temperature = PowerSeriesProfile( | ||
T0 * np.array([1, -1]), np.array([0, 2]), sym=True | ||
) | ||
eq.ion_temperature = PowerSeriesProfile( | ||
T0 * np.array([1, -1]), np.array([0, 2]), sym=True | ||
) | ||
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# solve at finite beta | ||
eq, _ = eq.solve(verbose=3, copy=True) | ||
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# scale to ARIES-CS reactor size | ||
eq = rescale(eq, L=("a", a), B=("<B>", B), scale_pressure=False, copy=True, verbose=1) | ||
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# optimize for self-consistent bootstrap current | ||
grid = LinearGrid( | ||
rho=np.linspace(1 / eq.L_grid, 1, eq.L_grid) - 1 / (2 * eq.L_grid), | ||
M=eq.M_grid, | ||
N=eq.N_grid, | ||
NFP=eq.NFP, | ||
sym=True, | ||
) | ||
objective = ObjectiveFunction( | ||
BootstrapRedlConsistency(eq=eq, grid=grid, helicity=(1, 0)) | ||
) | ||
constraints = ( | ||
FixAtomicNumber(eq=eq), | ||
FixBoundaryR(eq=eq), | ||
FixBoundaryZ(eq=eq), | ||
FixCurrent(eq=eq, indices=np.array([0, 1])), | ||
FixElectronDensity(eq=eq), | ||
FixElectronTemperature(eq=eq), | ||
FixIonTemperature(eq=eq), | ||
FixPsi(eq=eq), | ||
ForceBalance(eq=eq), | ||
) | ||
eq, _ = eq.optimize( | ||
objective=objective, | ||
constraints=constraints, | ||
optimizer="proximal-lsq-exact", | ||
maxiter=50, | ||
gtol=1e-16, | ||
verbose=3, | ||
copy=True, | ||
) | ||
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# save equilibrium | ||
eq.save("reactor_QA_output.h5") |
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