PV_Time_Series_Decomposition_Problem_Solution.ipynb

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  "metadata": {
    "colab": {
      "name": "PV Time Series Decomposition Problem Solution",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyNhJj1MvPoJiOlvY7QN1X3z",
      "include_colab_link": true
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
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      "source": [
        "<a href=\"https://colab.research.google.com/github/cakshay2013/Convex-Optimization-Problems-and-Solutions/blob/main/PV_Time_Series_Decomposition_Problem_Solution.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "S3yp2ExUbLa6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "23e818db-1d4f-40a8-c908-c584a87275be"
      },
      "source": [
        "import numpy as np\n",
        "import cvxpy as cp\n",
        "import matplotlib.pyplot as plt\n",
        " \n",
        "N = 288\n",
        "T = 2016\n",
        " \n",
        "c = cp.Variable((T))\n",
        "r = cp.Variable((T))\n",
        "s = cp.Variable((T))\n",
        " \n",
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        "]\n",
        " \n",
        "#print(\"p\", p.shape)\n",
        "Lc = 0.0\n",
        "for i in range(1, N-1):\n",
        "  Lc == Lc + cp.square(c[i] - c[i+1])\n",
        "Lc = Lc + cp.square(c[N] - c[1])\n",
        " \n",
        "#Objective\n",
        "objective = cp.Minimize((Lc + np.ones(T).T@s))\n",
        " \n",
        "#Constraints\n",
        "constraints = [s>=0, s<=c, p == c-s+r]\n",
        "constraints += [c[i] == c[i-N] for i in range(N, T)]\n",
        "constraints += [(cp.sum(cp.abs(r)))/T<=4]\n",
        " \n",
        "prob = cp.Problem(objective, constraints)\n",
        "prob.solve()\n",
        " \n",
        "#Answers\n",
        "print(\"Optimal minimum objective fcn:\", ((Lc - cp.sum(s))).value)\n",
        "print(\"Average value of c:\", (cp.sum(c).value)/T)\n",
        "print(\"Average value of s:\", (cp.sum(s).value)/T)\n",
        "print(\"Average value of p:\", (cp.sum(p)/T))\n",
        "print(\"Average absolute value of r:\", ((cp.sum(cp.abs(r)).value)/T))\n",
        " \n",
        "#Plots\n",
        " \n",
        "time = np.empty(T)\n",
        " \n",
        "for i in range(0, T-1):\n",
        "  time[i+1] = time[i] + 5.0\n",
        " \n",
        "plt.plot(time, c.value)\n",
        "plt.xlabel('x - axis: time')\n",
        "plt.ylabel('y - axis: c')\n",
        "plt.title('c vs time')\n",
        "plt.show()\n",
        " \n",
        "plt.plot(time, s.value)\n",
        "plt.xlabel('x - axis: time')\n",
        "plt.ylabel('y - axis: s')\n",
        "plt.title('s vs time')\n",
        "plt.show()\n",
        " \n",
        "plt.plot(time, r.value)\n",
        "plt.xlabel('x - axis: time')\n",
        "plt.ylabel('y - axis: r')\n",
        "plt.title('r vs time')\n",
        "plt.show()\n",
        " \n",
        "plt.plot(time, p)\n",
        "plt.xlabel('x - axis: time')\n",
        "plt.ylabel('y - axis: p')\n",
        "plt.title('p vs time')\n",
        "plt.show()"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/cvxpy/problems/problem.py:1338: UserWarning: Solution may be inaccurate. Try another solver, adjusting the solver settings, or solve with verbose=True for more information.\n",
            "  \"Solution may be inaccurate. Try another solver, \"\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Optimal minimum objective fcn: -7956.348398777286\n",
            "Average value of c: 529.8174528592054\n",
            "Average value of s: 3.9466013885652753\n",
            "Average value of p: 529.0375009330368\n",
            "Average absolute value of r: 4.00028893411805\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}