diff --git a/.ipynb_checkpoints/Projet-LINMA1702-2023-v2-checkpoint.ipynb b/.ipynb_checkpoints/Projet-LINMA1702-2023-v2-checkpoint.ipynb index 04bc28bec7f9c905da8f7f84c97cc615a251d19c..092131461f4cde1584e045be131ebc16482124fa 100644 --- a/.ipynb_checkpoints/Projet-LINMA1702-2023-v2-checkpoint.ipynb +++ b/.ipynb_checkpoints/Projet-LINMA1702-2023-v2-checkpoint.ipynb @@ -1,6 +1,7 @@ { "cells": [ { + "attachments": {}, "cell_type": "markdown", "id": "tight-speech", "metadata": {}, @@ -32,6 +33,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "loved-savings", "metadata": {}, @@ -51,6 +53,151 @@ ] }, { + "attachments": {}, + "cell_type": "markdown", + "id": "129843e0", + "metadata": {}, + "source": [ + "### Importation des modules" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "c17727ea", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\t\t\t\t# Module de manipulation de listes\n", + "import cvxpy as cp\t\t\t\t# Solver d'optimisation convexe\n", + "import matplotlib.pyplot as plt # Module de création de graphes" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "2dc283d2", + "metadata": {}, + "source": [ + "### Déclaration des variables" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "7de95e86", + "metadata": {}, + "source": [ + "##### Intervalles" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "394f2548", + "metadata": {}, + "outputs": [], + "source": [ + "heure_initiale = 22.5 # Compris dans l'intervalle [0,24[ [h]\n", + "intervalle_initial = 13050\n", + "n = 672 # Nombre de périodes/intervalles\n", + "data = np.load(\"Temperatures-Montreal.npy\")\n", + "T_ext = data[intervalle_initial:intervalle_initial+n]" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "b7331c82", + "metadata": {}, + "source": [ + "##### Coefficient de performance" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "689be95d", + "metadata": {}, + "outputs": [], + "source": [ + "COP_normal = lambda f: 3+10*abs(np.tanh(f/100))*np.tanh(f/100)\n", + "COP_reverse = 3.2" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "5a76f38f", + "metadata": {}, + "source": [ + "##### Température [°C]" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "be2bccb9", + "metadata": {}, + "outputs": [], + "source": [ + "T_initial = 20 # [°C]\n", + "T_final = 20 # [°C]\n", + "T_min = 19 # [°C]\n", + "T_max = 21 # [°C]\n", + "eta = 0.99 # Isolation du bâtiment [/] \n", + "T_i = cp.Variable(n+1)\n", + "deltaT_i = cp.Variable(n)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "142cf3eb", + "metadata": {}, + "source": [ + "##### Coût de l'énergie [$]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "bb6676ac", + "metadata": {}, + "outputs": [], + "source": [ + "cout_heures_creuses = 0.00018 # [$/(Wh*h)]\n", + "cout_heures_pleines = 0.00026 # [$/(Wh*h)]\n", + "c = np.zeros(n)\n", + "for i in range(n):\n", + " c[i]= cout_heures_creuses*0.25 if 0 <= (heure_initiale+(i+1)*0.25)%24 <= 7 or 22 < (heure_initiale+(i+1)*0.25)%24 <= 24 else cout_heures_pleines*0.25\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "15ba38d8", + "metadata": {}, + "source": [ + "##### Puissance [W]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "35e7e416", + "metadata": {}, + "outputs": [], + "source": [ + "p_max = 1000 # [W]\n", + "Cx = 1000/(0.4*360) # Capacité calorifique du bâtiment [Wh/(°C*m^3)]\n", + "V = 360 # Volume du bâtiment [m^3]\n", + "p_n_i = cp.Variable(n) # Normal\n", + "p_r_i = cp.Variable(n) # Reverse" + ] + }, + { + "attachments": {}, "cell_type": "markdown", "id": "59d693bb", "metadata": {}, @@ -61,6 +208,27 @@ ] }, { + "attachments": {}, + "cell_type": "markdown", + "id": "12d3e10d", + "metadata": {}, + "source": [ + "Dans un premier temps, on impose que la température du batiment est comprise dans la plage de confort à tout instant, et on cherche alors à minimiser le coût total de l'électricité consommée par la pompe à chaleur. On peut modéliser le problème de minimisation du coût comme suit :\n", + "\n", + "On peut modéliser le problème de minimisation du coût comme suit : \n", + "$$ \\min_{p_{n_i}, p_{r_i}, T_i, \\Delta T_i} \\sum_{i=0}^{n-1}c_i(p_{n_i}+p_{r_i}) \\quad \\text{tel que}\\\\ $$\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad T_0=T_{initial}\\\\ $\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad T_n=T_{final}\\\\ $\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad T_{min} \\le T_i \\le T_{max} \\qquad ,\\forall i \\in [0,n]\\\\ $\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad T_{i+1}=T_i+\\Delta T_i \\qquad ,\\forall i \\in [0,n-1]\\\\ $\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad p_{n_i}+p_{r_i} \\le p_{max} \\qquad ,\\forall i \\in [0,n-1]\\\\ $\n", + "$ \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\qquad \\Delta T_i = -(1-\\eta)(T_i-T_{ext_i}) + \\frac{0,25p_{n_i}COP_n(T_{ext_i})}{C_xV} + \\frac{0,25p_{r_i}COP_r}{C_xV} \\qquad ,\\forall i \\in [0,n-1]\\\\ $\n", + "\n", + "Cette formulation à l'avantage de pouvoir se passer de variables binaires qui imposeraient que la pompe est soit en mode normal, soit en mode reverse. Comme dit précédemment, le problème de l'utilisation simultanée de la pompe dans ses deux modes ne se produit même pas car le solver privilégie évidemment une utilisation unidirectionnelle de la pompe à chaleur (voir Question 1.4)." + ] + }, + { + "attachments": {}, "cell_type": "markdown", "id": "6e4c0afb", "metadata": {}, @@ -71,6 +239,225 @@ ] }, { + "attachments": {}, + "cell_type": "markdown", + "id": "1b0e8564", + "metadata": {}, + "source": [ + "### Intervalle 13050\n", + "Cet intervalle nous est imposé." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "ec216ecb", + "metadata": {}, + "source": [ + "##### Résolution du problème" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "71b93f9f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8.182333695034458" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "objectif = cp.Minimize(c.T@(p_n_i+p_r_i))\n", + "contraintes = [T_i[0] == T_initial, T_i[n] == T_final, T_min <= T_i, T_i <= T_max, T_i[1:n+1] == T_i[0:n]+deltaT_i, 0 <= (p_n_i+p_r_i), (p_n_i+p_r_i) <= p_max, 0 <= p_n_i, 0 <= p_r_i,\n", + " deltaT_i == -(1-eta)*(T_i[0:n]-T_ext)+(cp.multiply(p_n_i,COP_normal(T_ext)))*0.25/(V*Cx)-p_r_i*COP_reverse*0.25/(V*Cx)]\n", + "probleme = cp.Problem(objectif, contraintes)\n", + "probleme.solve(solver=cp.SCIPY, scipy_options={\"method\":\"highs\"}, verbose=False)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a7759fa0", + "metadata": {}, + "source": [ + "##### Affichage de la solution" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "cedffc89", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1400x400 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig1, axs1 = plt.subplots(2, 2, figsize=(14, 4))\n", + "\n", + "fig1.subplots_adjust(wspace=0.1, hspace=0.5)\n", + "\n", + "axs1[0,0].plot(np.arange(n), T_ext, color='purple', linewidth=1.2, alpha=0.4)\n", + "axs1[0,0].set_title(\"Température extérieure à Montréal (°C)\")\n", + "axs1[0,0].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[0,0].grid('on', alpha=0.3)\n", + "\n", + "axs1[0,1].plot(np.arange(n+1), T_i.value, color='purple', linewidth=1.2, alpha=0.4)\n", + "axs1[0,1].set_title(\"Température à l'intérieur du bâtiment (°C)\")\n", + "axs1[0,1].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[0,1].grid('on', alpha=0.3)\n", + "\n", + "axs1[1,0].bar(np.arange(n), p_n_i.value, color='purple', alpha=0.4)\n", + "axs1[1,0].set_title(\"Puissance de la pompe en mode normal (W)\")\n", + "axs1[1,0].set_ylim(-30,1030)\n", + "axs1[1,0].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[1,0].grid('on', alpha=0.3)\n", + "\n", + "axs1[1,1].bar(np.arange(n), p_r_i.value, color='purple',linewidth=1.2,alpha=0.4)\n", + "axs1[1,1].set_title(\"Puissance de la pompe en mode reverse (W)\")\n", + "axs1[1,1].set_ylim(-30,1030)\n", + "axs1[1,1].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[1,1].grid('on', alpha=0.3)\n", + "\n", + "title1 = fig1.suptitle(\"Graphes de la solution optimale (Coût optimal={})\".format(objectif.value),y=1.05)\n", + "title1.set_fontsize(15)\n", + "\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "bff50545", + "metadata": {}, + "source": [ + "##### Intervalle 22504" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "d9d6e16f", + "metadata": {}, + "source": [ + "Nous choisissons cet intervalle car le premier contient principalement des températures inférieures à 20°C. L'intervalle choisi contient des températures plus estivales dépassant parfois les 25°C. Nous allons pouvoir observer les différences de comportement de la pompe pour les deux intervalles." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "1159597e", + "metadata": {}, + "source": [ + "##### Résolution du problème" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "91b5e5d2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.9645635951448925" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Modification de l'intervalle.\n", + "intervalle_initial = 22504\n", + "T_ext = data[intervalle_initial:intervalle_initial+n]\n", + "\n", + "objectif = cp.Minimize(c.T@(p_n_i+p_r_i))\n", + "contraintes = [T_i[0] == T_initial, T_i[n] == T_final, T_min <= T_i, T_i <= T_max, T_i[1:n+1] == T_i[0:n]+deltaT_i, 0 <= (p_n_i+p_r_i), (p_n_i+p_r_i) <= p_max, 0 <= p_n_i, 0 <= p_r_i,\n", + " deltaT_i == -(1-eta)*(T_i[0:n]-T_ext)+(cp.multiply(p_n_i,COP_normal(T_ext)))*0.25/(V*Cx)-p_r_i*COP_reverse*0.25/(V*Cx)]\n", + "probleme = cp.Problem(objectif, contraintes)\n", + "probleme.solve(solver=cp.SCIPY, scipy_options={\"method\":\"highs\"}, verbose=False)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a87ceca9", + "metadata": {}, + "source": [ + "##### Affichage de la solution" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "8b28e16a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1400x400 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig1, axs1 = plt.subplots(2, 2, figsize=(14, 4))\n", + "\n", + "fig1.subplots_adjust(wspace=0.1, hspace=0.5)\n", + "\n", + "axs1[0,0].plot(np.arange(n), T_ext, color='purple', linewidth=1.2, alpha=0.4)\n", + "axs1[0,0].set_title(\"Température extérieure à Montréal (°C)\")\n", + "axs1[0,0].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[0,0].grid('on', alpha=0.3)\n", + "\n", + "axs1[0,1].plot(np.arange(n+1), T_i.value, color='purple', linewidth=1.2, alpha=0.4)\n", + "axs1[0,1].set_title(\"Température à l'intérieur du bâtiment (°C)\")\n", + "axs1[0,1].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[0,1].grid('on', alpha=0.3)\n", + "\n", + "axs1[1,0].bar(np.arange(n), p_n_i.value, color='purple', alpha=0.4)\n", + "axs1[1,0].set_title(\"Puissance de la pompe en mode normal (W)\")\n", + "axs1[1,0].set_ylim(-30,1030)\n", + "axs1[1,0].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[1,0].grid('on', alpha=0.3)\n", + "\n", + "axs1[1,1].bar(np.arange(n), p_r_i.value, color='purple',linewidth=1.2,alpha=0.4)\n", + "axs1[1,1].set_title(\"Puissance de la pompe en mode reverse (W)\")\n", + "axs1[1,1].set_ylim(-30,1030)\n", + "axs1[1,1].set_xlabel(\"nombre d'intervalles\", fontstyle='italic')\n", + "axs1[1,1].grid('on', alpha=0.3)\n", + "\n", + "title1 = fig1.suptitle(\"Graphes de la solution optimale (Coût optimal={})\".format(objectif.value),y=1.05)\n", + "title1.set_fontsize(15)\n", + "\n", + "plt.show()" + ] + }, + { + "attachments": {}, "cell_type": "markdown", "id": "dcd4fd17", "metadata": {}, @@ -81,6 +468,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "dd5e6cd6", "metadata": {}, @@ -91,6 +479,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "af08cae2", "metadata": {}, @@ -106,6 +495,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "7aa5fe9a", "metadata": {}, @@ -116,6 +506,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "8fcc662f", "metadata": {}, @@ -129,6 +520,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "7a3e7b09", "metadata": {}, @@ -145,6 +537,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "ad42aa0d", "metadata": {}, @@ -155,6 +548,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "185b221d", "metadata": {}, @@ -165,6 +559,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "db6baecb", "metadata": {}, @@ -173,6 +568,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "cf7d1ad5", "metadata": {}, @@ -183,6 +579,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "2be891ab", "metadata": {}, @@ -193,6 +590,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "7f47806b", "metadata": {}, @@ -208,6 +606,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "caedf962", "metadata": {}, @@ -218,6 +617,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "0d1eeb96", "metadata": {}, @@ -228,6 +628,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "4e9b0c8a", "metadata": {}, @@ -236,6 +637,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "d5523f6e", "metadata": {}, @@ -248,6 +650,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "640fd558", "metadata": {}, diff --git a/.ipynb_checkpoints/Temperatures-Montreal.npy b/.ipynb_checkpoints/Temperatures-Montreal.npy new file mode 100644 index 0000000000000000000000000000000000000000..b704211d837db5f8509f360a21d158bd94869fa2 Binary files /dev/null and b/.ipynb_checkpoints/Temperatures-Montreal.npy differ diff --git a/Projet-LINMA1702-2023-v2.ipynb b/Projet-LINMA1702-2023-v2.ipynb index cd9b6972bd07e6ef84c0231c974fdaf606742e7a..c96ac1bcd30489dc49f948c969fa687acf83f552 100644 --- a/Projet-LINMA1702-2023-v2.ipynb +++ b/Projet-LINMA1702-2023-v2.ipynb @@ -296,7 +296,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.4" + "version": "3.9.13" } }, "nbformat": 4, diff --git a/jupyter_notebook.ipynb b/jupyter_notebook.ipynb index 1c8bbbe92978c43a4156e7a94fc3e0bbb04b49de..2e83f34c4eaee81a071b89fbce94fcddea8854ca 100644 --- a/jupyter_notebook.ipynb +++ b/jupyter_notebook.ipynb @@ -1,6 +1,7 @@ { "cells": [ { + "attachments": {}, "cell_type": "markdown", "id": "e0af3758", "metadata": {}, @@ -11,6 +12,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "78209784", "metadata": {}, @@ -31,6 +33,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "6a747299", "metadata": {}, @@ -39,6 +42,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "98ee1bd2", "metadata": {}, @@ -61,6 +65,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "befd0498", "metadata": {}, @@ -70,6 +75,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "e1321039", "metadata": {}, @@ -89,6 +95,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "a636db3e", "metadata": {}, @@ -97,6 +104,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "39c4134e", "metadata": {}, @@ -121,6 +129,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "a21b600b", "metadata": {}, @@ -129,6 +138,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "83c4d587", "metadata": {}, @@ -151,6 +161,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "71862338", "metadata": {}, @@ -159,6 +170,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "de90d271", "metadata": {}, @@ -186,6 +198,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "e18fa019", "metadata": {}, @@ -194,15 +207,16 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "06dce4a8", "metadata": {}, "source": [ - "Dans un premier temps, on impose que la température du batiment est comprise dans la plage de confort à tout instant, et on cherche alors à minimiser le coût total de l'électricité\n", - "consommée par la pompe à chaleur." + "Dans un premier temps, on impose que la température du batiment est comprise dans la plage de confort à tout instant, et on cherche alors à minimiser le coût total de l'électricité consommée par la pompe à chaleur." ] }, { + "attachments": {}, "cell_type": "markdown", "id": "7912f60a", "metadata": {}, @@ -211,6 +225,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "e8f81033", "metadata": {}, @@ -253,6 +268,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "3406b068", "metadata": {}, @@ -319,6 +335,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "ae663771", "metadata": {}, @@ -327,6 +344,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "66e4d2b2", "metadata": {}, @@ -335,6 +353,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "id": "d04d9688", "metadata": {}, @@ -365,6 +384,7 @@ ] }, { + "attachments": 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