{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ae5be397-9849-453c-9419-6f3d8631d73c",
   "metadata": {
    "tags": []
   },
   "source": [
    "# [Weather data and solar radiation](01WeatherData.ipynb)\n",
    "\n",
    "# [Thermal circuit and state-space representation for a thermal circuit with capacities in every node: simple wall](02SimpleWall.ipynb)\n",
    "\n",
    "# [Thermal circuit and state-space representation for a thermal circuit with capacities in some nodes: cubic building](03CubicBuilding.ipynb)\n",
    "\n",
    "# [Thermal circuits assembling](04AssemblingCircuits.ipynb)\n",
    "\n",
    "# Switch between models: heating & cooling and free-running\n",
    "\n",
    "**Objectives:**\n",
    "- Implement controller with [deadband](https://en.m.wikipedia.org/wiki/Deadband). \n",
    "- Switch between modeles during the numerical integration. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21f84110-8bd7-4343-ba67-851fe628af5e",
   "metadata": {},
   "source": [
    "![thermal_circuit](./figures/03_therm_circ.svg)\n",
    "> Figure 1. Thermal circuit for the cubic building.\n",
    "\n",
    "In this example, we will consider that the controller, modeled by the conductance $G_{11}$ and the temperature source $T_{i,sp}$, switches the value of conductance $G_{11}$ between $G_{11} = 0$, i.e. free-floating, and $G_{11} \\rightarrow \\infty$, i.e. perfect controller (Figure 1). Therefore, two models will be constructed and the algorithm will switch between these two models during the numerical integration:\n",
    "- if $\\theta_i < T_{i,sp}$ or $\\theta_i > T_{i,sp} + \\Delta \\theta$, then the controller is in action, $G_{11} \\equiv  K_p \\rightarrow  \\infty$;\n",
    "- else, the controller is shut off, $G_{11} \\equiv  K_p = 0$,\n",
    "\n",
    "where:\n",
    "- $\\theta_i$ is the indoor temperature, °C;\n",
    "- $T_{i,sp}$ - indoor temperature setpoint, °C;\n",
    "- $\\Delta \\theta$ - indoor temperature deadband, °C;\n",
    "- $K_p$ - static gain of the proportional controller, W/K. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "adea2685-af71-4706-a016-a6a56a7300ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import dm4bem\n",
    "import tuto"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6154515-204d-41cb-858c-53b54775d20e",
   "metadata": {},
   "source": [
    "*Note*: The module `tuto.py` contains the implementation of the model as presented in this notebook. If the model in this notebook is changed, the same changes need to be done in `tuto.py`. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43bf8781-ecea-4fb9-ac84-b49ce3a6d5c9",
   "metadata": {
    "tags": []
   },
   "source": [
    "For simulation of the toy model presented in tutorials [3](03CubicBuilding.ipynb), [4](04AssemblingCircuits.ipynb) and [5](05SwitchModels.ipynb) (Figure 1), let's consider the weather file from a location,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "37619618-648a-4df3-b562-7d6668d89389",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "filename = './weather_data/FRA_Lyon.074810_IWEC.epw'\n",
    "\n",
    "start_date = '2000-05-01 00:00:00'\n",
    "end_date = '2000-05-22 00:00:00'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "800b7050-19c5-4598-ac8f-0553d40db382",
   "metadata": {},
   "source": [
    "We chose the  [setpoint](https://en.m.wikipedia.org/wiki/Setpoint_(control_system) and the [dead-band](https://en.m.wikipedia.org/wiki/Deadband) for the indoor temperature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0d99f735-ce04-49c5-b48f-565774dcc265",
   "metadata": {},
   "outputs": [],
   "source": [
    "Tisp = 20   # indoor setpoint temperature, °C\n",
    "Δθ = 5      # temperature deadband, °C"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16a20125-f10e-4773-94f2-d506c0a4522e",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Model for building in free-running\n",
    "\n",
    "The building is in free running (the indoor temperature is free-floating) if the P-controller is not effective, i.e. $K_p \\rightarrow 0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6cf40e92-4dd9-4090-86a8-4bd53549d7de",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum time step in free-floating is 479.08 s\n"
     ]
    }
   ],
   "source": [
    "Kpf = 1e-3   # no controller Kp -> 0\n",
    "TCa = tuto.thermal_circuit(Kpf)\n",
    "[Af, Bf, Cf, Df] = dm4bem.tc2ss(\n",
    "    TCa['A'], TCa['G'], TCa['C'], TCa['b'], TCa['f'], TCa['y'])\n",
    "dt_max = min(-2. / np.linalg.eig(Af)[0])\n",
    "print(f'Maximum time step in free-floating is {dt_max:.2f} s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "405db46e-83e5-4e8c-aa72-9d45ebca46af",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def P_control(filename, start_date, end_date, dt,\n",
    "              As, Bs, Cs, Ds, Kp, Tisp):\n",
    "    t, u, data = tuto.inputs(filename, start_date, end_date, dt, Tisp)\n",
    "\n",
    "    # Initialize temperature vector\n",
    "    θ = np.full([As.shape[0], u.shape[0]], np.inf)\n",
    "    θ[:, 0] = Tisp * np.ones(As.shape[0])\n",
    "\n",
    "    I = np.eye(As.shape[0])\n",
    "\n",
    "    # Simulation in time\n",
    "    for k in range(u.shape[0] - 1):\n",
    "        θ[:, k + 1] = (I + dt * As) @ θ[:, k]\\\n",
    "            + dt * Bs @ u.iloc[k, :]\n",
    "    # Indoor temperature\n",
    "    y = Cs @ θ + Ds @ u.to_numpy().T\n",
    "    y = y.T\n",
    "    # HVAC heat flow\n",
    "    q_HVAC = Kp * (data['Ti'] - y[:, 0])\n",
    "\n",
    "    # Plot results\n",
    "    return y, q_HVAC, data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "09955696-ac57-4098-9702-6173a7b424be",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 360   # time step, s\n",
    "y, q_HVAC, data = P_control(\n",
    "    filename, start_date, end_date, dt,\n",
    "    Af, Bf, Cf, Df, Kpf, Tisp)\n",
    "tuto.plot_results(y, q_HVAC, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7af1fc05-7678-4cac-9676-0d571be21d9a",
   "metadata": {
    "tags": []
   },
   "source": [
    "> Figure 1. Simulation in free-running with weather data using Euler explicit method of integration and a time step of 400 s. a) Indoor and outdoor temperatures. b) Solar and HVAC heat flow rates."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5227d50-77a7-4a43-a4dc-af2e2ec0b034",
   "metadata": {
    "tags": []
   },
   "source": [
    "Since the building is in free-running, the energy consumption for HVAC is zero, $Q_{HVAC} = 0 \\text{ J}$.\n",
    "\n",
    "The energy consumption over the time range $[0,\\, t_{final}]$ is:\n",
    "\n",
    "$$ Q_{HVAC} = \\int_{0}^{t_{final}} \\left |  q_{HVAC}  \\right | \\,dt$$\n",
    "$$= \\Delta t \\sum_{k=0}^{n} \\left |q_{HVAC(k)} \\right| \\text{ [J]}$$\n",
    "$$= \\frac{1}{3.6·10^{6}}\n",
    "\\Delta t \\sum_{k=0}^{n}\\left |q_{HVAC(k)} \\right| \\text{ [kW h]}$$\n",
    "\n",
    "where:\n",
    "- $\\Delta t$ is the time step, s.\n",
    "- $\\left |q_{HVAC(k)} \\right|$ - absolute values of the vector of heat flow rates, W."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0f2902a5-c7eb-4e2d-a4a3-2e9311669be1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 0.0 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {dt * sum(abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78857ccc-21ef-4d8b-838d-5a71db1b4357",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Model for building with \"perfect\" proportional controller\n",
    "A \"perfect\" proportional controller would have an infinite gain, $K_p \\rightarrow \\infty$. The change in the controller gain implies a change of the maximum time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "44e75f12-6493-4b46-83f7-c82bff730312",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For Kp = 1e+03, the maximum time step is 59 s\n"
     ]
    }
   ],
   "source": [
    "Kpc = 1e3   # perfect controller Kp -> ∞\n",
    "TCa = tuto.thermal_circuit(Kpc)\n",
    "[Ac, Bc, Cc, Dc] = dm4bem.tc2ss(\n",
    "    TCa['A'], TCa['G'], TCa['C'], TCa['b'], TCa['f'], TCa['y'])\n",
    "dt_max = min(-2. / np.linalg.eig(Ac)[0])\n",
    "print(f'For Kp = {Kpc:.0e}, the maximum time step is {dt_max:.0f} s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "21192af7-4241-4221-b33e-f25b72818446",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 50     # time step, s\n",
    "y, q_HVAC, data = P_control(\n",
    "    filename, start_date, end_date, dt,\n",
    "    Ac, Bc, Cc, Dc, Kpc, Tisp)\n",
    "tuto.plot_results(y, q_HVAC, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9216fb8d-7d54-44c6-94b3-f7995cab3ff3",
   "metadata": {
    "tags": []
   },
   "source": [
    "> Figure 2. Simulation of an almost perfect controller with weather data using Euler explicit method of integration and a time step of 50 s. a) Indoor and outdoor temperatures. b) Solar and HVAC heat flow rates.\n",
    "\n",
    "In the case of an almost perfect controller, the indoor temperature is maintained rather constant and the HVAC heat flow rate $q_{HVAC}$ is positive for heating and negative for cooling.\n",
    "\n",
    "The energy consumption over the time range $[0, t_{final}]$ is:\n",
    "\n",
    "$$ Q_{HVAC} = \\frac{1}{3.6·10^{6}}\n",
    "\\Delta t \\sum_{k=0}^{n}\\left |q_{HVAC(k)} \\right| \\text{ [kW h]}$$\n",
    "\n",
    "where:\n",
    "- $\\Delta t$ is the time step, s.\n",
    "- $q_{(k)HVAC}$ - the values of the vector of heat flow rates, W."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0d80ef5f-ba53-499f-b5c0-24a75ff0fa8e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 168.0 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {dt * sum(abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33964365-ab46-4273-a7b7-d1ea6644e867",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Heating and cooling with dead band\n",
    "\n",
    "Maintaing the indoor temperature at a constant level is not energy efficient. It is preferable to have a [deadband](https://en.m.wikipedia.org/wiki/Deadband) for the indoor temperature in which the building is in free running and to use the HVAC system when the indoor temperature is out the deadband.\n",
    "\n",
    "An appraoch for the simulation of heating and cooling with deadband is to use both models, free-running and perfect controlled. In this case, the time step is the minimum between the two time steps.\n",
    "\n",
    "The code is implemented in function `tuto.switch_models()` which  is very similar to the function `tuto.P_control()`. The differences consist in:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "36def076-ed1b-4dbd-842d-8b5e65ad9088",
   "metadata": {},
   "outputs": [],
   "source": [
    "def switch_models(filename, start_date, end_date, dt,\n",
    "                  Af, Bf, Cf, Df, Kpf,\n",
    "                  Ac, Bc, Cc, Dc, Kpc,\n",
    "                  Tisp, DeltaT):\n",
    "    \n",
    "    t, u, data = tuto.inputs(filename, start_date, end_date, dt, Tisp)\n",
    "\n",
    "    # initial values for temperatures\n",
    "    temp_exp = 0 * np.ones([Af.shape[0], u.shape[0]])\n",
    "    Tisp = Tisp * np.ones(u.shape[0])\n",
    "    y = np.zeros(u.shape[0])\n",
    "    y[0] = Tisp[0]\n",
    "    q_HVAC = 0 * np.ones(u.shape[0])\n",
    "\n",
    "    # integration in time\n",
    "    I = np.eye(Af.shape[0])\n",
    "    for k in range(u.shape[0] - 1):\n",
    "        if y[k] < Tisp[k] or y[k] > DeltaT + Tisp[k]:\n",
    "            temp_exp[:, k + 1] = (I + dt * Ac) @ temp_exp[:, k]\\\n",
    "                + dt * Bc @ u.iloc[k, :]\n",
    "            y[k + 1] = Cc @ temp_exp[:, k + 1] + Dc @ u.iloc[k + 1]\n",
    "            q_HVAC[k + 1] = Kpc * (Tisp[k + 1] - y[k + 1])\n",
    "        else:\n",
    "            temp_exp[:, k + 1] = (I + dt * Af) @ temp_exp[:, k]\\\n",
    "                + dt * Bf @ u.iloc[k, :]\n",
    "            y[k + 1] = Cf @ temp_exp[:, k + 1] + Df @ u.iloc[k]\n",
    "            q_HVAC[k + 1] = 0\n",
    "    return y, q_HVAC, data "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66dde143-bce2-4cd8-aba4-2d56ffd00152",
   "metadata": {},
   "source": [
    "For the indoor temperature setpoint `Tisp` and the accepted deadband in temperature `DeltaT`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3b09b43e-3339-437a-b0b8-3dd3e4f7f053",
   "metadata": {},
   "outputs": [],
   "source": [
    "θ_isp = 20  # indoor temperature setpoint, °C\n",
    "Δθ = 2.5    # deadband of indoor temperature, °C"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "146a97ff-0783-4351-af80-332b493a170a",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Large proportional gain for the controller\n",
    "If the controller has a large proportional gain, the temperature is maintained in the limits. However, the heat flow of the HVAC system and the indoor tempertaure vary too quickly, phenomena called *pumping*  (Figure 3). Pumping is different of [instability](https://en.m.wikipedia.org/wiki/Instability#Instability_in_control_systems) in the sens that the variables have limited values between bounds. Pumping is characterized by repeated oscilation between the bounds of the variables which causes [wear and tear](https://en.wikipedia.org/wiki/Wear_and_tear) of the equipement."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9d6219a9-ea96-4cd5-87e4-43794aefbc58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 2000.0)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 50\n",
    "Kpc = 1e3   # no controller Kp -> 0\n",
    "\n",
    "TCa = tuto.thermal_circuit(Kpc)\n",
    "[Ac, Bc, Cc, Dc] = dm4bem.tc2ss(\n",
    "    TCa['A'], TCa['G'], TCa['C'], TCa['b'], TCa['f'], TCa['y'])\n",
    "\n",
    "y, q_HVAC, data = switch_models(\n",
    "    filename, start_date, end_date, dt,\n",
    "    Af, Bf, Cf, Df, Kpf,\n",
    "    Ac, Bc, Cc, Dc, Kpc,\n",
    "    Tisp, Δθ)\n",
    "\n",
    "tuto.plot_results(y, q_HVAC, data)\n",
    "ax = plt.gca()\n",
    "ax.set_ylim([0, 2000])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa3f9c40-e740-4d37-9200-428f46354e71",
   "metadata": {},
   "source": [
    "> Figure 3. Simulation of heating and cooling with deadband by using a high gain controller. a) Indoor and outdoor temperature. b) Solar and HVAC heat flow rates.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "766a947b-aa58-43c9-bd96-9285c4d839b2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 179.9 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {dt * sum(abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "117bdda8-0be4-48dd-bd8c-4022ef124154",
   "metadata": {},
   "source": [
    "### Large proportional gain for the controller with reduced time step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0b6d2f51-1b91-4190-a285-9c94158e7066",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 25\n",
    "Kpc = 1e3   # no controller Kp -> 0\n",
    "\n",
    "TCa = tuto.thermal_circuit(Kpc)\n",
    "[Ac, Bc, Cc, Dc] = dm4bem.tc2ss(\n",
    "    TCa['A'], TCa['G'], TCa['C'], TCa['b'], TCa['f'], TCa['y'])\n",
    "y, q_HVAC, data = switch_models(\n",
    "    filename, start_date, end_date, dt,\n",
    "    Af, Bf, Cf, Df, Kpf,\n",
    "    Ac, Bc, Cc, Dc, Kpc,\n",
    "    Tisp, Δθ)\n",
    "tuto.plot_results(y, q_HVAC, data)\n",
    "ax = plt.gca()\n",
    "ax.set_ylim([0, 1000]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4cfb2c0f-ac06-40eb-952d-89ecad027835",
   "metadata": {},
   "source": [
    "> Figure 4. Heating and cooling with deadband, high Kp and small time step. a) Indoor and outdoor temperature. b) Solar and HVAC heat flow rates.\n",
    "\n",
    "Note that the energy consumption depends on the time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "dbb06a53-11bc-4e7e-a6cd-f17cf00d8341",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 114.6 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {dt * sum(abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dbce8d9-223f-4995-b7d5-1faaa5f048f7",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Optimal controller gain\n",
    "\n",
    "The instability or *pumping* effect may be reduced by using a smaller gain for the controller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2b6516c9-ce07-4920-9afe-e94d53383df0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 50     # time step, s\n",
    "Kpc = 1.5e2 # controller Kp\n",
    "\n",
    "TCa = tuto.thermal_circuit(Kpc)\n",
    "[Ac, Bc, Cc, Dc] = dm4bem.tc2ss(\n",
    "    TCa['A'], TCa['G'], TCa['C'], TCa['b'], TCa['f'], TCa['y'])\n",
    "y, q_HVAC, data = switch_models(\n",
    "    filename, start_date, end_date, dt,\n",
    "    Af, Bf, Cf, Df, Kpf,\n",
    "    Ac, Bc, Cc, Dc, Kpc,\n",
    "    Tisp, Δθ)\n",
    "tuto.plot_results(y, q_HVAC, data)\n",
    "ax = plt.gca()\n",
    "ax.set_ylim([0, 1000]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1315fc21-2708-4b77-8f3f-275bf82e79fa",
   "metadata": {
    "tags": []
   },
   "source": [
    "> Figure 5. Heating and cooling with dead-band and a sub-optimal gain for the controller. a) Indoor and outdoor temperature. b) Solar and HVAC heat flow rates.\n",
    "\n",
    "The energy consumption is significantly smaller as compared with the \"perfect\" controller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "56c86434-b5ac-4020-97cc-138f38fc5d65",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 119.5 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {sum(dt * abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4ff63d2-6b19-4df4-a375-99f29e7c3960",
   "metadata": {},
   "source": [
    "## Only heating\n",
    "\n",
    "If there is only heating, then the HVAC system controls the indoor temperature when it is smaller than the setpoint and leaves the building in free running if the indor temperature is larger than the setpoint.\n",
    "\n",
    "Heating is implemented in `tuto.heat()` function, which is similar to `switch_models()` fuction with the exception of the numerical integration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a6a18282-1acf-4952-8e43-6b507b67480a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t, u, data = tuto.inputs(filename, start_date, end_date, dt, Tisp)\n",
    "\n",
    "# initial values for temperatures\n",
    "temp_exp = 0 * np.ones([Af.shape[0], u.shape[0]])\n",
    "Tisp = Tisp * np.ones(u.shape[0])\n",
    "y = np.zeros(u.shape[0])\n",
    "y[0] = Tisp[0]\n",
    "q_HVAC = 0 * np.ones(u.shape[0])\n",
    "\n",
    "I = np.eye(Af.shape[0])\n",
    "for k in range(u.shape[0] - 1):\n",
    "    if y[k] < data['Ti'][k]:\n",
    "        temp_exp[:, k + 1] = (I + dt * Ac) @ temp_exp[:, k]\\\n",
    "            + dt * Bc @ u.iloc[k, :]\n",
    "        y[k + 1] = Cc @ temp_exp[:, k + 1] + Dc @ u.iloc[k]\n",
    "        q_HVAC[k + 1] = Kpc * (data['Ti'][k + 1] - y[k + 1])\n",
    "    else:\n",
    "        temp_exp[:, k + 1] = (I + dt * Af) @ temp_exp[:, k]\\\n",
    "            + dt * Bf @ u.iloc[k, :]\n",
    "        y[k + 1] = Cf @ temp_exp[:, k + 1] + Df @ u.iloc[k]\n",
    "        q_HVAC[k + 1] = 0\n",
    "\n",
    "tuto.plot_results(y, q_HVAC, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b842e301-7889-4921-baa7-047de7cf0bad",
   "metadata": {},
   "source": [
    "> Figure 6. Heating. a) Indoor and outdoor temperature. b) Solar and HVAC heat flow rates."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23a72b72-1284-4a06-a07a-57d8834bc499",
   "metadata": {},
   "source": [
    "If only heating is used, the energy consumption is smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c3c0f434-3f12-4a20-9c45-a593ee9f9864",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q_HVAC = 69.1 kW·h\n"
     ]
    }
   ],
   "source": [
    "print(f\"Q_HVAC = {dt * sum(abs(q_HVAC)) / 1000 / 3600:.1f} kW·h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15dad9f9-a93a-48cf-a390-b2d247896d1d",
   "metadata": {},
   "source": [
    "However, there is overheating. This could be aleviate by controlling the solar radiation and the free-cooling by ventilation modelled as inputs."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73f41f4c-7338-491a-b049-ffca04f1c866",
   "metadata": {},
   "source": [
    "# [Control input: heating & cooling and free-running](06Control_Input.ipynb)\n",
    "\n",
    "# [Radiation coupled with convection](07Coupled_rad_convection.ipynb)\n",
    "\n",
    "# [Sensible thermal load in steady-state](08Thermal_load.ipynb)\n",
    "\n",
    "# [Air flow by ventilation](09Air_flow_ventilation.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0a7f80b2-8e97-47c5-a103-e8e7f8a3fd3d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  },
  "toc-autonumbering": true,
  "toc-showcode": false,
  "toc-showmarkdowntxt": false
 },
 "nbformat": 4,
 "nbformat_minor": 5
}