quadratic_approx.ipynb

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   "source": [
    "import pandas as pd\n",
    "import plotly.express as px\n",
    "import pulp\n",
    "import pyomo.environ as pyo\n",
    "import random"
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    "# 1. Data"
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     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "random.seed(1)\n",
    "T = 24*1\n",
    "df_load = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [random.uniform(0,50) for _ in range(T)],\n",
    "    type = \"load\"\n",
    "))\n",
    "fig = px.line(df_load, x=\"time\", y=\"power\", title=\"Load=f(t)\",  markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "79ecbf28-1aef-40e7-9500-211721cd1b7e",
   "metadata": {},
   "outputs": [],
   "source": [
    "load = dict(zip(df_load.time,df_load.power))\n",
    "#load"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "830fbccd-21ad-4804-b52c-7707c0c0dd6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "47.263534777696115"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(load.values())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77673eba-0539-4eea-b689-994de244653d",
   "metadata": {},
   "source": [
    "# 2. Optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0f5d1e0-74a9-4a6d-919c-ea822bd3af01",
   "metadata": {},
   "source": [
    "$$\n",
    "\\min \\quad \\sum_{t \\in T} \\text{\\textcolor{blue}{deviation}}_t^2 \n",
    "$$\n",
    "subject to:\n",
    "- deviation definition:\n",
    "$$\n",
    "\\text{\\textcolor{blue}{deviation}}_t = \\text{load}_t - \\text{\\textcolor{blue}{prod}}_t \\quad \\forall t \\in T\n",
    "$$\n",
    "- ramps are bounded:\n",
    "$$ \n",
    "-10 \\le \\frac{\\text{\\textcolor{blue}{prod}}_{t+1}-\\text{\\textcolor{blue}{prod}}_{t}}{(t+1)-t} \\le 10 \\quad \\forall t \\in T\n",
    "$$\n",
    "- variables domains:\n",
    "$$\n",
    "\\text{\\textcolor{blue}{deviation}}_t \\in \\mathbb{R} \\quad \\forall t \\in T\n",
    "$$\n",
    "$$\n",
    "\\text{\\textcolor{blue}{prod}}_{t} \\in \\mathbb{R}^+ \\quad \\forall t \\in T\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01ec1aa2-a5ba-4756-8de7-cbf26ae2d12e",
   "metadata": {},
   "source": [
    "## 2.1 Minimize sum of squared deviations (Pyomo - Ipopt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "c8e43637-08ec-4ab4-99d0-4a5b3e66078e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ipopt 3.11.1: \n",
      "\n",
      "******************************************************************************\n",
      "This program contains Ipopt, a library for large-scale nonlinear optimization.\n",
      " Ipopt is released as open source code under the Eclipse Public License (EPL).\n",
      "         For more information visit http://projects.coin-or.org/Ipopt\n",
      "******************************************************************************\n",
      "\n",
      "NOTE: You are using Ipopt by default with the MUMPS linear solver.\n",
      "      Other linear solvers might be more efficient (see Ipopt documentation).\n",
      "\n",
      "\n",
      "This is Ipopt version 3.11.1, running with linear solver mumps.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:       48\n",
      "Number of nonzeros in inequality constraint Jacobian.:       92\n",
      "Number of nonzeros in Lagrangian Hessian.............:       24\n",
      "\n",
      "Total number of variables............................:       48\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:       24\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:       24\n",
      "Total number of inequality constraints...............:       46\n",
      "        inequality constraints with only lower bounds:       23\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:       23\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0 0.0000000e+000 4.73e+001 2.22e-016  -1.0 0.00e+000    -  0.00e+000 0.00e+000   0\n",
      "   1 1.9472902e+004 7.11e-015 9.13e+001  -1.0 4.62e+001    -  1.06e-002 1.00e+000h  1\n",
      "   2 1.2570600e+004 7.11e-015 6.95e+001  -1.0 4.19e+001    -  2.56e-002 2.39e-001f  1\n",
      "   3 1.2028815e+004 7.11e-015 6.77e+001  -1.0 3.15e+001    -  3.66e-002 2.61e-002f  1\n",
      "   4 1.0604845e+004 7.11e-015 6.27e+001  -1.0 3.02e+001    -  6.15e-002 7.47e-002f  1\n",
      "   5 9.1883346e+003 7.11e-015 5.69e+001  -1.0 2.68e+001    -  7.27e-002 9.27e-002f  1\n",
      "   6 7.5273226e+003 7.11e-015 4.89e+001  -1.0 2.25e+001    -  1.66e-001 1.39e-001f  1\n",
      "   7 6.0162450e+003 7.11e-015 4.03e+001  -1.0 1.90e+001    -  3.69e-001 1.78e-001f  1\n",
      "   8 4.6904640e+003 3.55e-015 3.07e+001  -1.0 1.56e+001    -  4.02e-001 2.41e-001f  1\n",
      "   9 3.1053316e+003 7.11e-015 1.08e+001  -1.0 1.18e+001    -  8.06e-001 6.50e-001f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10 2.8755414e+003 7.11e-015 1.00e-006  -1.0 4.16e+000    -  1.00e+000 1.00e+000f  1\n",
      "  11 2.8753177e+003 7.11e-015 1.00e-006  -1.0 1.96e-001    -  1.00e+000 1.00e+000f  1\n",
      "  12 2.8741175e+003 3.55e-015 2.83e-008  -2.5 1.76e-001    -  1.00e+000 1.00e+000f  1\n",
      "  13 2.8740835e+003 3.55e-015 2.83e-008  -2.5 7.96e-002    -  1.00e+000 1.00e+000f  1\n",
      "  14 2.8740428e+003 3.55e-015 1.50e-009  -3.8 4.12e-002    -  1.00e+000 1.00e+000f  1\n",
      "  15 2.8740402e+003 7.11e-015 1.50e-009  -3.8 1.25e-002    -  1.00e+000 1.00e+000f  1\n",
      "  16 2.8740380e+003 7.11e-015 1.84e-011  -5.7 2.75e-003    -  1.00e+000 1.00e+000f  1\n",
      "  17 2.8740380e+003 7.11e-015 2.53e-014  -8.6 8.88e-005    -  1.00e+000 1.00e+000f  1\n",
      "  18 2.8740380e+003 7.11e-015 1.07e-014  -9.0 1.01e-007    -  1.00e+000 1.00e+000h  1\n",
      "\n",
      "Number of Iterations....: 18\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:  2.8740379547702400e+003   2.8740379547702400e+003\n",
      "Dual infeasibility......:  1.0658141036401503e-014   1.0658141036401503e-014\n",
      "Constraint violation....:  7.1054273576010019e-015   7.1054273576010019e-015\n",
      "Complementarity.........:  9.0911084760409838e-010   9.0911084760409838e-010\n",
      "Overall NLP error.......:  9.0911084760409838e-010   9.0911084760409838e-010\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 19\n",
      "Number of objective gradient evaluations             = 19\n",
      "Number of equality constraint evaluations            = 19\n",
      "Number of inequality constraint evaluations          = 19\n",
      "Number of equality constraint Jacobian evaluations   = 19\n",
      "Number of inequality constraint Jacobian evaluations = 19\n",
      "Number of Lagrangian Hessian evaluations             = 18\n",
      "Total CPU secs in IPOPT (w/o function evaluations)   =      0.008\n",
      "Total CPU secs in NLP function evaluations           =      0.000\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "2874.03795477024\n"
     ]
    }
   ],
   "source": [
    "# create LP\n",
    "model = pyo.ConcreteModel()\n",
    "model.T = pyo.RangeSet(T) #model.T.data()\n",
    "\n",
    "# VARIABLES\n",
    "model.prod = pyo.Var(model.T,domain=pyo.NonNegativeReals,bounds=(0,max(load.values())))\n",
    "model.deviation = pyo.Var(model.T)\n",
    "\n",
    "# CONSTRAINTS\n",
    "model.ramp_up = pyo.ConstraintList()\n",
    "model.ramp_down = pyo.ConstraintList()\n",
    "model.deviation_def = pyo.ConstraintList()\n",
    "\n",
    "for t in model.T:\n",
    "    model.deviation_def.add(expr=model.deviation[t] == model.prod[t] - load[t])\n",
    "    if t<T:\n",
    "        model.ramp_up.add(expr=model.prod[t+1] - model.prod[t] <= 10)\n",
    "        model.ramp_down.add(expr=model.prod[t+1] - model.prod[t] >= -10)\n",
    "        \n",
    "\n",
    "# OBJ\n",
    "model.obj = pyo.Objective(expr=sum((model.deviation[t])**2 for t in model.T), sense=pyo.minimize)\n",
    "\n",
    "pyo.SolverFactory(\"ipopt\").solve(model,tee=True)\n",
    "\n",
    "print(pyo.value(model.obj))"
   ]
  },
  {
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   "source": [
    "df_sol_ipopt = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pyo.value(model.prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_ipopt_min_squared_deviation\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,df_sol_ipopt]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6ea55ab0-9b57-4191-ac21-6a3a92345047",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16.77093681447829"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(abs(pyo.value(model.prod[t])-load[t]) for t in range(1,T+1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "6767e574-4271-4f7c-bfab-347bc427efba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2874.0379547702405"
      ]
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     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum((pyo.value(model.prod[t])-load[t])**2 for t in range(1,T+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27f7130a-9438-4005-a297-1d12da7ac747",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## 2.2 Other possible objective functions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08f4b688-e59d-4826-98b2-c042bf7df2a7",
   "metadata": {},
   "source": [
    "### Minimize maximum deviation "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0f22cfa-47c3-49c4-8825-c62f713575d6",
   "metadata": {},
   "source": [
    "$$\n",
    "\\min \\quad \\max_{t \\in T}\\{ |\\text{\\textcolor{blue}{deviation}}_t| \\}\n",
    "$$\n",
    "subject to:\n",
    "- deviation definition:\n",
    "$$\n",
    "\\text{\\textcolor{blue}{deviation}}_t = \\text{load}_t - \\text{\\textcolor{blue}{prod}}_t \\quad \\forall t \\in T\n",
    "$$\n",
    "- ramps are bounded:\n",
    "$$ \n",
    "-10 \\le \\frac{\\text{\\textcolor{blue}{prod}}_{t+1}-\\text{\\textcolor{blue}{prod}}_{t}}{(t+1)-t} \\le 10 \\quad \\forall t \\in T\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a38bf401-5295-45f5-908b-59f457c331fb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "status = 1\n",
      "obj = 16.770937\n",
      "2    load: 42.371686846861635   prod 25.60075    deviation= 16.770936846861634\n",
      "3    load: 38.1887309488307   prod 21.417794    deviation= 16.770936948830702\n",
      "5    load: 24.771754354597046   prod 8.0008175    deviation= 16.770936854597046\n",
      "7    load: 32.579648636138145   prod 15.808712    deviation= 16.770936636138146\n",
      "8    load: 39.43616755677566   prod 22.665231    deviation= 16.77093655677566\n",
      "11    load: 41.788255195993486   prod 25.017318    deviation= 16.770937195993486\n",
      "13    load: 38.1140041228971   prod 21.343067    deviation= 16.7709371228971\n",
      "16    load: 36.07700161703913   prod 19.306065    deviation= 16.77093661703913\n",
      "18    load: 47.263534777696115   prod 30.492598    deviation= 16.770936777696114\n",
      "19    load: 45.07137288057418   prod 28.300436    deviation= 16.77093688057418\n",
      "20    load: 1.5294991516776768   prod 18.300436    deviation= 16.770936848322325\n",
      "23    load: 46.95745813892553   prod 30.186521    deviation= 16.770937138925532\n"
     ]
    }
   ],
   "source": [
    "# create LP\n",
    "prob = pulp.LpProblem(\"min_max_deviation\", pulp.LpMinimize)\n",
    "\n",
    "# prod[t] = amount of energy produced at time t\n",
    "prod = pulp.LpVariable.dicts(\"prod\",[t for t in range(1,T+1)],lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "# max deviation with respect to load\n",
    "max_deviation = pulp.LpVariable(\"max_deviation\", lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "# objective function : minimize max deviation\n",
    "prob += max_deviation\n",
    "\n",
    "# max deviation definition\n",
    "for t in range(1,T+1):\n",
    "    prob += max_deviation >= prod[t] - load[t]\n",
    "    prob += max_deviation >= -prod[t] + load[t]\n",
    "\n",
    "# prod'[t] is bounded\n",
    "for t in range(1,T):\n",
    "    prob += prod[t+1]-prod[t] <= 10\n",
    "    prob += -10 <= prod[t+1]-prod[t] \n",
    "\n",
    "#prob \n",
    "prob.solve()\n",
    "print(\"status =\", prob.status)\n",
    "print(\"obj =\",pulp.value(prob.objective))\n",
    "for t in range(1,T+1):\n",
    "    if abs(pulp.value(prod[t])-load[t]) >= pulp.value(prob.objective)-1e-3:\n",
    "        print(t,\"   load:\",load[t], \"  prod\",pulp.value(prod[t]),\"   deviation=\",abs(pulp.value(prod[t])-load[t]))\n",
    "#print(\"\")\n",
    "#for t in prod:\n",
    "#    print(t, pulp.value(prod[t]))"
   ]
  },
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   "source": [
    "df_sol_pulp = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pulp.value(prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_pulp_min_max_deviation\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,df_sol_ipopt,df_sol_pulp]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
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   "cell_type": "code",
   "execution_count": 36,
   "id": "40c95948-c7f0-4b0f-8ef7-d666a5fe9aa6",
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   "outputs": [
    {
     "data": {
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      ]
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     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "sum((pulp.value(prod[t])-load[t])**2 for t in load)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ee2ca87-76a1-4eba-a794-9a52d974c105",
   "metadata": {},
   "source": [
    "### Minimize sum of absolute deviations "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46f2e330-2a45-4934-9457-a0ce66b2855a",
   "metadata": {},
   "source": [
    "$$\n",
    "\\min \\quad \\sum_{t \\in T} |\\text{\\textcolor{blue}{deviation}}_t| \n",
    "$$\n",
    "subject to:\n",
    "- deviation definition:\n",
    "$$\n",
    "\\text{\\textcolor{blue}{deviation}}_t = \\text{load}_t - \\text{\\textcolor{blue}{prod}}_t \\quad \\forall t \\in T\n",
    "$$\n",
    "- ramps are bounded:\n",
    "$$ \n",
    "-10 \\le \\frac{\\text{\\textcolor{blue}{prod}}_{t+1}-\\text{\\textcolor{blue}{prod}}_{t}}{(t+1)-t} \\le 10 \\quad \\forall t \\in T\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "23452ac7-193f-4a22-93e5-8d217c49581f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "status = 1\n",
      "obj = 221.18713729999996\n"
     ]
    }
   ],
   "source": [
    "# create LP\n",
    "prob = pulp.LpProblem(\"sum_abs_deviation\", pulp.LpMinimize)\n",
    "\n",
    "# prod[t] = amount of energy produced at time t\n",
    "prod = pulp.LpVariable.dicts(\"prod\",[t for t in range(1,T+1)],lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "# deviation[t] with respect to load\n",
    "deviation = pulp.LpVariable.dicts(\"deviation\",[t for t in range(1,T+1)], lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "# objective function : minimize max deviation\n",
    "prob += pulp.lpSum(deviation)\n",
    "\n",
    "# max deviation definition\n",
    "for t in range(1,T+1):\n",
    "    prob += deviation[t] >= prod[t] - load[t]\n",
    "    prob += deviation[t] >= -prod[t] + load[t]\n",
    "\n",
    "# prod'[t] is bounded\n",
    "for t in range(1,T):\n",
    "    prob += prod[t+1]-prod[t] <= 10\n",
    "    prob += -10 <= prod[t+1]-prod[t] \n",
    "\n",
    "#prob \n",
    "prob.solve()\n",
    "print(\"status =\", prob.status)\n",
    "print(\"obj =\",pulp.value(prob.objective))\n",
    "#print(\"\")\n",
    "#for t in prod:\n",
    "#    print(t, pulp.value(prod[t]))"
   ]
  },
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   "execution_count": 38,
   "id": "f2cfd9ee-6ef6-4c71-bd9a-abefa1f299be",
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   "source": [
    "df_sol_pulp2 = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pulp.value(prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_pulp_min_sum_abs_deviation\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,df_sol_ipopt,df_sol_pulp,df_sol_pulp2]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "bac2e208-683a-40cc-9ad6-9a9e6d505e22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3886.9232548817445"
      ]
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     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum((pulp.value(prod[t])-load[t])**2 for t in load)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86866bb0-2824-4c17-ac82-4bfd34ba761d",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## 2.3 Minimize sum of squared deviations with tangents approximation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e2d6585-312f-4fff-b711-c8b81b7ff420",
   "metadata": {},
   "source": [
    "<img src=\"tangents.png\" alt=\"Alternative text\" width=500 />"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "51ad8972-9ca1-4e0f-bf1f-6928863a4298",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "status = 1\n",
      "obj = 2872.5984606999996\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# create LP\n",
    "prob = pulp.LpProblem(\"energy\", pulp.LpMinimize)\n",
    "\n",
    "# prod[t] = amount of energy produced at time t\n",
    "prod = pulp.LpVariable.dicts(\"prod\",[t for t in range(1,T+1)],lowBound=0, cat=pulp.LpContinuous)\n",
    "# deviation[t] with respect to load\n",
    "deviation = pulp.LpVariable.dicts(\"deviation\",[t for t in range(1,T+1)], lowBound=0, cat=pulp.LpContinuous)\n",
    "deviation_squared =  pulp.LpVariable.dicts(\"deviation_squared\",[t for t in range(1,T+1)], lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "\n",
    "# objective function : minimize squared deviations\n",
    "prob += pulp.lpSum(deviation_squared[t] for t in range(1,T+1))\n",
    "\n",
    "# deviation definition\n",
    "for t in range(1,T+1):\n",
    "    prob += prod[t] - load[t] <= deviation[t]\n",
    "    prob += -prod[t] + load[t] <= deviation[t]\n",
    "    \n",
    "# deviation squared approx with tangents\n",
    "for t in range(1,T+1):\n",
    "    for a in range(100):\n",
    "        prob += deviation_squared[t] >= 2*a*deviation[t]-a**2\n",
    "\n",
    "# ramp constraints    \n",
    "for t in range(1,T):\n",
    "    prob += prod[t+1]-prod[t] <= 10\n",
    "    prob += -10 <= prod[t+1]-prod[t]\n",
    "\n",
    "#prob \n",
    "prob.solve()\n",
    "print(\"status =\", prob.status)\n",
    "print(\"obj =\",pulp.value(prob.objective))\n",
    "print(\"\")\n",
    "#for t in prod:\n",
    "    #print(t, pulp.value(prod[t]))"
   ]
  },
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   "execution_count": 42,
   "id": "c87eef22-419b-424c-b8bc-769c43f2dadc",
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   "source": [
    "df_sol_pulp3 = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pulp.value(prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_pulp_min_sum_dev_squared_approx_tan\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,\n",
    "                         df_sol_ipopt,\n",
    "                         #df_sol_pulp,\n",
    "                         #df_sol_pulp2,\n",
    "                         df_sol_pulp3]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "6e7217b0-af63-4715-81ba-0944e574a282",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2875.625328152434"
      ]
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     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "sum((pulp.value(prod[t])-load[t])**2 for t in load)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8f66d3f-873e-4210-ac7c-f6798cc42b88",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## 2.4 Minimize sum of squared deviations with secants approximation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c74de063-d001-414c-b31e-df5cb0970b99",
   "metadata": {},
   "source": [
    "<img src=\"secants.png\" alt=\"Alternative text\" width=500 />"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "52b63e06-5b2a-4ecf-9072-5e17d9276df5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "status = 1\n",
      "obj = 2435.1605771000004\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# create LP\n",
    "prob = pulp.LpProblem(\"energy\", pulp.LpMinimize)\n",
    "\n",
    "# prod[t] = amount of energy produced at time t\n",
    "prod = pulp.LpVariable.dicts(\"prod\",[t for t in range(1,T+1)],lowBound=0, cat=pulp.LpContinuous)\n",
    "\n",
    "# deviation with respect to load\n",
    "deviation = pulp.LpVariable.dicts(\"deviation\",[t for t in range(1,T+1)], lowBound=0, cat=pulp.LpContinuous)\n",
    "deviation_squared = pulp.LpVariable.dicts(\"deviation_squared\",[t for t in range(1,T+1)], lowBound=0, cat=pulp.LpContinuous)\n",
    "deviation_sec = pulp.LpVariable.dicts(\"deviation_sec\",([t for t in range(1,T+1)],[a for a in range(100)]), lowBound=0, upBound=1, cat=pulp.LpContinuous)\n",
    "\n",
    "# objective function : minimize squared deviations\n",
    "prob += pulp.lpSum(deviation_squared)\n",
    "\n",
    "# deviation definition\n",
    "for t in range(1,T+1):\n",
    "    prob += prod[t] - load[t] <= deviation[t]\n",
    "    prob += -prod[t] + load[t] <= deviation[t]\n",
    "    \n",
    "# deviation squared approx with secants\n",
    "for t in range(1,T+1):\n",
    "    prob += deviation[t] == pulp.lpSum(deviation_sec[t][a] for a in range(100))\n",
    "    prob += deviation_squared[t] == pulp.lpSum((2*(a-1)+1)*deviation_sec[t][a] for a in range(100))\n",
    "\n",
    "# ramp constraints    \n",
    "for t in range(1,T):\n",
    "    prob += prod[t+1]-prod[t] <= 10\n",
    "    prob += -10 <= prod[t+1]-prod[t]\n",
    "\n",
    "prob.solve()\n",
    "print(\"status =\", prob.status)\n",
    "print(\"obj =\",pulp.value(prob.objective))\n",
    "print(\"\")\n",
    "#for t in prod:\n",
    "#    print(t, pulp.value(prod[t]))"
   ]
  },
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     "metadata": {},
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    }
   ],
   "source": [
    "df_sol_pulp4 = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pulp.value(prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_pulp_min_sum_dev_squared_approx_sec\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,\n",
    "                         df_sol_ipopt,\n",
    "                         #df_sol_pulp,\n",
    "                         #df_sol_pulp2,\n",
    "                         df_sol_pulp3,\n",
    "                         df_sol_pulp4,\n",
    "                        ]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "666b16bc-02ae-4340-bc62-22c39d59d97b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2875.146741484219"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum((pulp.value(prod[t])-load[t])**2 for t in load)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "55c26973-9507-4ba2-b357-203f8eeae2b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4940.886618447867"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum((pyo.value(model.prod[t])-load[t])**2 for t in range(1,T+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ac98eb3-10b6-4c22-956c-d6f2c3ed2840",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## 2.5 Minimize sum of squared deviations with Pyomo integrated piecewise approximation "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98fc2a89-16a9-4b88-a9c9-e649d85f0295",
   "metadata": {},
   "source": [
    "https://github.com/Pyomo/pyomo/blob/main/examples/pyomo/piecewise/step.py \n",
    "\n",
    "https://yetanothermathprogrammingconsultant.blogspot.com/2019/02/piecewise-linear-functions-and.html\n",
    "\n",
    "https://github.com/Pyomo/pyomo/blob/main/examples/pyomo/piecewise/indexed.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "1a6265ea-65aa-4c6c-a9a1-4635fb54be68",
   "metadata": {},
   "outputs": [],
   "source": [
    "# create LP\n",
    "model = pyo.ConcreteModel()\n",
    "model.T = pyo.RangeSet(T) #model.T.data()\n",
    "max_load = max(load.values())\n",
    "\n",
    "# prod[t] = amount of energy produced at time t\n",
    "model.prod = pyo.Var(model.T,domain=pyo.NonNegativeReals,bounds=(0,max_load))\n",
    "model.deviation = pyo.Var(model.T,domain=pyo.NonNegativeReals,bounds=(0,max_load))\n",
    "model.deviation_squared = pyo.Var(model.T,domain=pyo.NonNegativeReals,bounds=(0,max_load**2))\n",
    "\n",
    "# CONSTRAINTS\n",
    "model.ramp_up = pyo.ConstraintList()\n",
    "model.ramp_down = pyo.ConstraintList()\n",
    "model.deviation_def = pyo.ConstraintList()\n",
    "\n",
    "for t in model.T:\n",
    "    model.deviation_def.add(expr=model.prod[t] - load[t] <= model.deviation[t])\n",
    "    model.deviation_def.add(expr=-model.prod[t] + load[t] <= model.deviation[t])\n",
    "    if t<T:\n",
    "        model.ramp_up.add(expr=model.prod[t+1] - model.prod[t] <= 10)\n",
    "        model.ramp_down.add(expr=model.prod[t+1] - model.prod[t] >= -10)\n",
    "\n",
    "x_data = [a for a in range(0,int(max_load)+2)]\n",
    "y_data = [a**2 for a in range(0,int(max_load)+2)]\n",
    "\n",
    "for t in model.T:\n",
    "    #print(\"t=\",t)\n",
    "    model.add_component(\"%s\"%t, pyo.Piecewise(\n",
    "        model.deviation_squared[t],\n",
    "        model.deviation[t],  \n",
    "        pw_pts=x_data,\n",
    "        pw_constr_type='EQ',\n",
    "        f_rule=y_data,\n",
    "        #pw_repn= 'BIGM_BIN' #'SOS2' #'CC' #'SOS2', #'INC'?\n",
    "    ))\n",
    "                                                  \n",
    "# OBJ\n",
    "model.obj = pyo.Objective(expr=sum(model.deviation_squared[t] for t in model.T), sense=pyo.minimize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "d84de596-4bd8-4747-9856-6b7b17350c39",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.10 \n",
      "Build Date: Apr 18 2023 \n",
      "\n",
      "command line - C:\\Users\\Romain\\Desktop\\SOLVERS\\CBC 2.10.10\\bin\\cbc.exe -printingOptions all -import C:\\Users\\Romain\\AppData\\Local\\Temp\\tmppbizjfcv.pyomo.lp -stat=1 -solve -solu C:\\Users\\Romain\\AppData\\Local\\Temp\\tmppbizjfcv.pyomo.soln (default strategy 1)\n",
      "Option for printingOptions changed from normal to all\n",
      "Presolve 165 (-1) rows, 1224 (-24) columns and 3690 (-26) elements\n",
      "Statistics for presolved model\n",
      "\n",
      "\n",
      "Problem has 165 rows, 1224 columns (24 with objective) and 3690 elements\n",
      "There are 24 singletons with objective \n",
      "Column breakdown:\n",
      "0 of type 0.0->inf, 1224 of type 0.0->up, 0 of type lo->inf, \n",
      "0 of type lo->up, 0 of type free, 0 of type fixed, \n",
      "0 of type -inf->0.0, 0 of type -inf->up, 0 of type 0.0->1.0 \n",
      "Row breakdown:\n",
      "48 of type E 0.0, 0 of type E 1.0, 0 of type E -1.0, \n",
      "0 of type E other, 0 of type G 0.0, 0 of type G 1.0, \n",
      "23 of type G other, 0 of type L 0.0, 0 of type L 1.0, \n",
      "70 of type L other, 0 of type Range 0.0->1.0, 24 of type Range other, \n",
      "0 of type Free \n",
      "Continuous objective value is 2877.24 - 0.01 seconds\n",
      "0 variables in SOS1 sets made integer, 0 non integer in SOS1, 1176 in SOS2\n",
      "\n",
      "Cgl0004I processed model has 142 rows, 1248 columns (0 integer (0 of which binary)) and 3668 elements\n",
      "Cbc0036I Heuristics switched off as 24 branching objects are of wrong type\n",
      "Cbc0004I Integer solution of 2877.2374 found after 0 iterations and 0 nodes (0.02 seconds)\n",
      "Cbc0001I Search completed - best objective 2877.237380156837, took 0 iterations and 0 nodes (0.02 seconds)\n",
      "Cbc0035I Maximum depth 0, 0 variables fixed on reduced cost\n",
      "Cuts at root node changed objective from 2877.24 to 2877.24\n",
      "Probing was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "Gomory was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "Knapsack was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "Clique was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "MixedIntegerRounding2 was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "FlowCover was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "TwoMirCuts was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "ZeroHalf was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)\n",
      "36 bounds tightened after postprocessing\n",
      "\n",
      "\n",
      "Result - Optimal solution found\n",
      "\n",
      "Objective value:                2877.23738016\n",
      "Enumerated nodes:               0\n",
      "Total iterations:               0\n",
      "Time (CPU seconds):             0.03\n",
      "Time (Wallclock seconds):       0.03\n",
      "\n",
      "Total time (CPU seconds):       0.04   (Wallclock seconds):       0.04\n",
      "\n",
      "2877.2373801000003\n"
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",
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   "source": [
    "df_sol_pyo = pd.DataFrame(dict(\n",
    "    time = [t for t in range(1,T+1)],\n",
    "    power = [pyo.value(model.prod[t]) for t in range(1,T+1)],\n",
    "    type = \"opt_pyo_min_sum_dev_squared_approx_pyo\"\n",
    "))\n",
    "\n",
    "fig = px.line(pd.concat([df_load,\n",
    "                         df_sol_ipopt,\n",
    "                         #df_sol_pulp,\n",
    "                         #df_sol_pulp2,\n",
    "                         df_sol_pulp3,\n",
    "                         df_sol_pulp4,\n",
    "                         df_sol_pyo]), x=\"time\", y=\"power\",color=\"type\", title=\"Load vs Production\", markers=True) \n",
    "fig.update_layout(xaxis_title=\"time\", yaxis_title=\"MW\")\n",
    "fig.show()"
   ]
  }
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