How effective is the heat equation?.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import pulp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "# COAST, NCENT, NORTH, SCENT, SOUTH, WEST, EAST, FWEST\n",
    "REGION = 'FWEST'\n",
    "RATING = 500\n",
    "CAPACITY = 700\n",
    "ERROR = 0.03"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>load</th>\n",
       "      <th>dates</th>\n",
       "      <th>prediction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1094.045496</td>\n",
       "      <td>2002-01-01 00:00:00</td>\n",
       "      <td>1043.140480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1083.517981</td>\n",
       "      <td>2002-01-01 01:00:00</td>\n",
       "      <td>1055.631296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1085.038740</td>\n",
       "      <td>2002-01-01 02:00:00</td>\n",
       "      <td>1084.899738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1093.381853</td>\n",
       "      <td>2002-01-01 03:00:00</td>\n",
       "      <td>1100.781205</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1106.651296</td>\n",
       "      <td>2002-01-01 04:00:00</td>\n",
       "      <td>1101.772636</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          load               dates   prediction\n",
       "0  1094.045496 2002-01-01 00:00:00  1043.140480\n",
       "1  1083.517981 2002-01-01 01:00:00  1055.631296\n",
       "2  1085.038740 2002-01-01 02:00:00  1084.899738\n",
       "3  1093.381853 2002-01-01 03:00:00  1100.781205\n",
       "4  1106.651296 2002-01-01 04:00:00  1101.772636"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('data/' + REGION + '.csv', parse_dates=['dates'])\n",
    "df['prediction'] = df['load'].apply(lambda x: x + np.random.normal(0, ERROR*x))\n",
    "df = df.drop('tempc', axis=1)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "MAX_LOAD = df.groupby(df.dates.dt.date)['load'].max().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "def heat(l, alpha, time_steps):\n",
    "    return_l = []\n",
    "    \n",
    "    assert time_steps != 0\n",
    "    \n",
    "    for t in range(time_steps):\n",
    "        if len(return_l) != 0:\n",
    "            l = return_l\n",
    "            return_l = []\n",
    "        for i, x in enumerate(l):\n",
    "            if i == 0:\n",
    "                diff = (0 - l[i]) - (l[i] - l[i+1])\n",
    "                return_l.append(l[i] + alpha*diff)\n",
    "            elif i == len(l) - 1:\n",
    "                diff = (l[i-1] - l[i]) - (l[i] - 0)\n",
    "                return_l.append(l[i] + alpha*diff)\n",
    "            else:\n",
    "                diff = (l[i-1] - l[i]) - (l[i] - l[i+1])\n",
    "                return_l.append(l[i] + alpha*diff)\n",
    "\n",
    "    sum_r = sum(return_l)\n",
    "    sum_l = sum(l)\n",
    "    if sum_l != sum_r:\n",
    "        p = []\n",
    "        prop = sum_l / sum_r\n",
    "        return [round(prop*x, 4) for x in return_l]\n",
    "    else:\n",
    "        return return_l\n",
    "\n",
    "def heat_all(l, alpha, time_steps):\n",
    "    return [heat(day, alpha, time_steps) for day in l]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "m = df['load'].tolist()\n",
    "load_24 = [m[i: i+24] for i in range(0, len(m), 24)]\n",
    "\n",
    "m = df['prediction'].tolist()\n",
    "pred_24 = [m[i: i+24] for i in range(0, len(m), 24)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "def optimal_daily(day_load, RATING, CAPACITY):\n",
    "    ps = max(day_load)\n",
    "    new_load = list(day_load)\n",
    "    broken = True\n",
    "    while broken:\n",
    "        ps -= 1\n",
    "        new_load = [ps if l > ps else l for l in new_load]\n",
    "        diff = [p - l for p, l in zip(day_load, new_load)]\n",
    "        broken = sum(diff) <= CAPACITY and all([d <= RATING for d in diff])    \n",
    "    return new_load\n",
    "\n",
    "n_load_24 = []\n",
    "for day in load_24:\n",
    "    n_load_24.append(optimal_daily(day, RATING, CAPACITY))\n",
    "\n",
    "MAX_LOAD_OPTIMAL = sum([max(d) for d in n_load_24])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pulp24hrBattery(day_load, RATING, CAPACITY):\n",
    "    model = pulp.LpProblem(\"Daily demand charge minimization problem\", pulp.LpMinimize)\n",
    "    power = pulp.LpVariable.dicts(\"ChargingPower\", range(24))\n",
    "\n",
    "    for i in range(24):\n",
    "        power[i].lowBound = 0\n",
    "        power[i].upBound = RATING\n",
    "    pDemand = pulp.LpVariable(\"Peak Demand\", lowBound=0)\n",
    "\n",
    "    model += pDemand\n",
    "\n",
    "    for i in range(24):\n",
    "        model += pDemand >= day_load[i] - power[i]    \n",
    "    model += pulp.lpSum(power) <= CAPACITY\n",
    "    \n",
    "    model.solve()\n",
    "    return [power[i].varValue for i in range(24)]\n",
    "\n",
    "# standard dispatches\n",
    "dispatch_24 = [pulp24hrBattery(pred, RATING, CAPACITY) for pred in pred_24]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_dispatch(dispatch_24, load_24):\n",
    "    return sum([max([l - d for l, d in zip(day_load, day_dispatch)]) for day_load, day_dispatch in zip(load_24, dispatch_24)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 "
     ]
    }
   ],
   "source": [
    "r = {}\n",
    "for alpha in range(0, 51, 5):\n",
    "    alpha = float(alpha) / 100\n",
    "    r[alpha] = {}\n",
    "    for time_step in range(1, 6):\n",
    "        r[alpha][time_step] = round((MAX_LOAD - apply_dispatch(heat_all(dispatch_24, alpha, time_step), load_24)) / (MAX_LOAD - MAX_LOAD_OPTIMAL) * 100, 2)\n",
    "    print(alpha, end=' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 3600x1500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_t = pd.DataFrame().from_dict(r)\n",
    "fig, ax = plt.subplots(figsize=(12,5), dpi=300)\n",
    "\n",
    "sns.heatmap(df_t, annot=True, ax=ax)\n",
    "ax.set_ylabel('time step')\n",
    "ax.set_xlabel('alpha')\n",
    "fig.savefig(REGION + f'_{ERROR}.png')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}