notebook_example1.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "notebook_example1.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "widgets": {
      "application/vnd.jupyter.widget-state+json": {
        "b9537d5161834a52bffbadb582a95b31": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "VBoxModel",
          "model_module_version": "1.5.0",
          "state": {
            "_view_name": "VBoxView",
            "_dom_classes": [
              "widget-interact"
            ],
            "_model_name": "VBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_773eb55743034d20bdf3ef31311cefde",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_ade79c7254e74712b5e3bfaecba832b3",
              "IPY_MODEL_4ad875d3c1aa4029b8a95464cca35297"
            ]
          }
        },
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          "model_name": "LayoutModel",
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          "state": {
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            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "grid_area": null,
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            "flex": null,
            "_model_name": "LayoutModel",
            "justify_items": null,
            "grid_row": null,
            "max_height": null,
            "align_content": null,
            "visibility": null,
            "align_self": null,
            "height": null,
            "min_height": null,
            "padding": null,
            "grid_auto_rows": null,
            "grid_gap": null,
            "max_width": null,
            "order": null,
            "_view_module_version": "1.2.0",
            "grid_template_areas": null,
            "object_position": null,
            "object_fit": null,
            "grid_auto_columns": null,
            "margin": null,
            "display": null,
            "left": null
          }
        },
        "ade79c7254e74712b5e3bfaecba832b3": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_view_name": "FloatSliderView",
            "style": "IPY_MODEL_b290505c8ddc42a1ba2e516d9eb67360",
            "_dom_classes": [],
            "description": "phi_v",
            "step": 30,
            "_model_name": "FloatSliderModel",
            "orientation": "horizontal",
            "max": 90,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": -60,
            "_view_count": null,
            "disabled": false,
            "_view_module_version": "1.5.0",
            "min": -90,
            "continuous_update": true,
            "readout_format": ".2f",
            "description_tooltip": null,
            "readout": true,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_dd66b4b1be984568aaff70a20cdb64d3"
          }
        },
        "4ad875d3c1aa4029b8a95464cca35297": {
          "model_module": "@jupyter-widgets/output",
          "model_name": "OutputModel",
          "model_module_version": "1.0.0",
          "state": {
            "_view_name": "OutputView",
            "msg_id": "",
            "_dom_classes": [],
            "_model_name": "OutputModel",
            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "image/png": 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\n",
                  "text/plain": "<Figure size 1224x432 with 3 Axes>"
                },
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    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "**Author**: Luca Giaccone (luca.giaccone@polito.it)"
      ],
      "metadata": {
        "id": "r4H4clVLqdMV"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Esempio di computational notebook (1)\n",
        "Analizziamo la potenza in regime sinusoidale.\n",
        "\n",
        "Siano date una tensione ed una corrente così descritte\n",
        "\n",
        "$$v(t) = \\sqrt{2} \\:\\: V \\:\\: \\sin(2 \\pi f t + \\varphi_v)$$\n",
        "$$i(t) = \\sqrt{2} \\:\\: I \\:\\: \\sin(2 \\pi f t + \\varphi_i)$$\n",
        "\n",
        "Poniamo, senza perdita di generalità $\\varphi_i=0$ ed analizziamo la potenza:\n",
        "\n",
        "$$p(t) = v(t) \\:\\: i(t)$$\n",
        "\n",
        "variando $\\varphi_v$ nel range $\\left[-\\pi/2 , \\pi/2\\right]$\n"
      ],
      "metadata": {
        "id": "tLMeffxp33Lb"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "7_l-m8Xz3k08"
      },
      "outputs": [],
      "source": [
        "# libraries\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from ipywidgets import interact, FloatSlider"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# fixed parameters\n",
        "f = 50\n",
        "T = 1 / f\n",
        "t = np.linspace(0, 2*T, 200)\n",
        "V = 10\n",
        "I = 10\n",
        "phi_i = 0"
      ],
      "metadata": {
        "id": "BchVaqWE4Oz8"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def fun(phi_v):  \n",
        "  v = np.sqrt(2) * V * np.sin(2 * np.pi * f * t + phi_v * np.pi/180)\n",
        "  i = np.sqrt(2) * I * np.sin(2 * np.pi * f * t + phi_i * np.pi/180)\n",
        "  p = v * i\n",
        "\n",
        "  # Initializa plot\n",
        "  hf1 = plt.figure(figsize=(17,6))\n",
        "  ax1 = plt.subplot2grid((2,3),(0,0),rowspan=2, colspan=1) # diagramma fasoriale\n",
        "  ax2 = plt.subplot2grid((2,3),(0,1),rowspan=1, colspan=2) # tensione e corrente\n",
        "  ax3 = plt.subplot2grid((2,3),(1,1),rowspan=1, colspan=2) # potenza\n",
        "\n",
        "  # phasors diagram\n",
        "  side = 10 * np.sqrt(2)*1.1\n",
        "  vert = [-side, side]\n",
        "  for x in vert:\n",
        "      for y in vert:\n",
        "          ax1.plot(x,y, 'w.')\n",
        "\n",
        "  HL = np.sqrt(2)* V * 15/100\n",
        "  HW = 0.5*HL\n",
        "  RE = np.sqrt(2)* V * np.cos(phi_v* np.pi/180)\n",
        "  IM = np.sqrt(2)* V * np.sin(phi_v* np.pi/180)\n",
        "  ax1.arrow(0, 0, RE,IM, linewidth=2,head_width=HW, head_length=HL, fc='C0', ec='C0')\n",
        "  if np.abs(RE) < 1e-8:\n",
        "      ax1.text(2,IM,'$\\overline{V}$', fontsize=18, color='C0')\n",
        "  elif np.abs(RE) < 3:\n",
        "      ax1.text(4,IM,'$\\overline{V}$', fontsize=18, color='C0')\n",
        "  else:\n",
        "      ax1.text(RE*1.15,IM*1.15,'$\\overline{V}$', fontsize=18, color='C0')\n",
        "      \n",
        "  HL = np.sqrt(2)* I * 15/100\n",
        "  HW = 0.5*HL\n",
        "  ax1.arrow(0, 0, np.sqrt(2)* I,0, linewidth=2,head_width=HW, head_length=HL, fc='C1', ec='C1')\n",
        "  if IM >= 0:\n",
        "      ax1.text(np.sqrt(2)* I*0.5,-3,'$\\overline{I}$', fontsize=18, color='C1')\n",
        "  else:\n",
        "      ax1.text(np.sqrt(2)* I*0.5,1,'$\\overline{I}$', fontsize=18, color='C1')\n",
        "\n",
        "  ax1.set_xlim(-15,15)\n",
        "  ax1.set_ylim(-15,15)\n",
        "  ax1.tick_params(labelsize=18)\n",
        "  ax1.axis('square')\n",
        "  ax1.grid()\n",
        "  plt.tight_layout()\n",
        "\n",
        "  # plot voltage and current\n",
        "  ax2.plot(t * 1e3, v, linewidth=3, label='tensione (V)')\n",
        "  ax2.plot(t * 1e3, i, linewidth=3, label='corrente (A)')\n",
        "  ax2.set_xlim(0, 40)\n",
        "  ax2.grid()\n",
        "  ax2.legend(fontsize=16, bbox_to_anchor=(1, 0.65), loc='lower left')\n",
        "\n",
        "  # plot power\n",
        "  ax3.plot(t * 1e3, p, 'k', linewidth=3, label='potenza (W)')\n",
        "  ax3.plot(t * 1e3, np.ones_like(t) * np.average(p), 'k--', label='valor medio')\n",
        "  ax3.legend(fontsize=16, bbox_to_anchor=(1, 0.65), loc='lower left')\n",
        "  ax3.set_xlim(0, 40)\n",
        "  ax3.set_ylim(-200, 200)\n",
        "  ax3.set_xlabel('tempo (ms)', fontsize=16)\n",
        "  ax3.grid()"
      ],
      "metadata": {
        "id": "zxr1qTQJ7iZu"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "#<center>Potenza in regime sinusoidale</center>\n"
      ],
      "metadata": {
        "id": "piZIB5W7d3IS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "interact(fun, phi_v=FloatSlider(min=-90, max=90, step=30, continuous_update=True));"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489,
          "referenced_widgets": [
            "b9537d5161834a52bffbadb582a95b31",
            "773eb55743034d20bdf3ef31311cefde",
            "ade79c7254e74712b5e3bfaecba832b3",
            "4ad875d3c1aa4029b8a95464cca35297",
            "b290505c8ddc42a1ba2e516d9eb67360",
            "dd66b4b1be984568aaff70a20cdb64d3",
            "0d9777315e7c4515a8d5b43d4956ba40"
          ]
        },
        "id": "mnQIae8OL7IZ",
        "outputId": "c0b4cbab-9722-49f6-d863-027ca1c1d85e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "b9537d5161834a52bffbadb582a95b31",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "interactive(children=(FloatSlider(value=0.0, description='phi_v', max=90.0, min=-90.0, step=30.0), Output()), …"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "4huuSkiZL9_5"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}