{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5a0f3cd2",
   "metadata": {
    "id": "5a0f3cd2"
   },
   "source": [
    "# Design variables"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "661ddda0",
   "metadata": {
    "id": "661ddda0"
   },
   "source": [
    "Design variables are the principal element within an optimization problem. During the optimization, the design variables are changed while influencing the objective function.\n",
    "\n",
    "These variables can be either continuous or discrete depending on the type of optimization problem that is being studied. The turbine positions are the most common continuous design variable used in wind farm layout optimization. In essence, they are continuous because they can take an infinite amount of values for a given range. Discrete variables, on the other hand, can only take finite amount of values for a specific interval. A common discrete variable used in wind farm optimization is turbine type. The type of design variable will influence the decision of the optimization driver to use.\n",
    "\n",
    "Continuous design variables can be treated with both gradient-free and gradient-based algorithms, where the calculation of the derivatives (in gradient-based cases) can be performed. On the other hand, discrete variables are usually analyzed with gradient-free methods, as the calculation of the gradients of these variables is not possible to perform. In some cases, it is possible to convert the discrete variable into a continuous one and then find its derivative.\n",
    "\n",
    "Besides the turbine positions, the development of TOPFARM has allowed the inclusion of several other design variables such as:\n",
    "\n",
    "- Turbine types,\n",
    "- Turbine hub heights,\n",
    "- Yaw angles,\n",
    "- and even the inter-turbine spacing and rotation of a wind farm seen as a grid.\n",
    "\n",
    "This example goes through two of the most common design variables available in TOPFARM and describes how to set them up within the `TopFarmProblem` object in the optimization."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "113911cb",
   "metadata": {
    "id": "113911cb"
   },
   "source": [
    "Before working on the notebook exercises, make sure that you import or install topfarm on your newly created environment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e728c446",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "e728c446",
    "outputId": "80f83921-53ed-487b-a4c3-4363bef6f29e"
   },
   "outputs": [],
   "source": [
    "# Install TopFarm if needed\n",
    "import importlib\n",
    "if not importlib.util.find_spec(\"topfarm\"):\n",
    "    !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/TopFarm2.git"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "672a862f",
   "metadata": {
    "id": "672a862f"
   },
   "source": [
    "**First we import some supporting Python libraries**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "022257b2",
   "metadata": {
    "id": "022257b2"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae0d08e0",
   "metadata": {
    "id": "ae0d08e0"
   },
   "source": [
    "**We start by importing the turbine and site to use as well as the wake model from PyWake.**\n",
    "\n",
    "**From TOPFARM we import**:\n",
    "\n",
    "- **TopFarmProblem**. Overall topfarm problem class to which the objectives, design variables, and constraints are added\n",
    "- **EasyScipyOptimizeDriver**. A subclass of ScipyOptimizeDriver which is configured for the given workflow\n",
    "- **get_iea37_initial, get_iea37_constraints, get_iea37_cost**. Functions to get the initial layout, the constraints and the cost function for the IEA task 37 benchmark example\n",
    "- **NoPlot, XYPlotComp**. Plotting components to visualize the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "11dfdae1",
   "metadata": {
    "id": "11dfdae1"
   },
   "outputs": [],
   "source": [
    "from py_wake.deficit_models.gaussian import IEA37SimpleBastankhahGaussian     #wake model\n",
    "from py_wake.examples.data.iea37 import IEA37_WindTurbines, IEA37Site         #wind turbines and site used\n",
    "from topfarm.cost_models.py_wake_wrapper import PyWakeAEPCostModelComponent   #cost model\n",
    "\n",
    "from topfarm import TopFarmProblem\n",
    "from topfarm.easy_drivers import EasyScipyOptimizeDriver\n",
    "from topfarm.examples.iea37 import get_iea37_initial, get_iea37_constraints, get_iea37_cost\n",
    "from topfarm.plotting import NoPlot, XYPlotComp"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66f43bac",
   "metadata": {
    "id": "66f43bac"
   },
   "source": [
    "## 1) Turbine position (x,y) layout optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c9824b1",
   "metadata": {
    "id": "2c9824b1"
   },
   "source": [
    "First we set up the parameters for the wind farm model simulation, that is the site and wind turbine objects as well as the wind directions to study."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b88caf41",
   "metadata": {
    "id": "b88caf41"
   },
   "outputs": [],
   "source": [
    "n_wt = 9\n",
    "n_wd = 16\n",
    "\n",
    "site = IEA37Site(9)\n",
    "wind_turbines = IEA37_WindTurbines()\n",
    "wd = np.linspace(0.,360.,n_wd, endpoint=False)\n",
    "wfmodel = IEA37SimpleBastankhahGaussian(site, wind_turbines)   #PyWake's wind farm model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f421dea",
   "metadata": {
    "id": "7f421dea"
   },
   "source": [
    "Now we set up the `CostModelComponent` that will calculate the AEP as the objective function of the optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6afea25c",
   "metadata": {
    "id": "6afea25c"
   },
   "outputs": [],
   "source": [
    "cost_comp = PyWakeAEPCostModelComponent(wfmodel, n_wt, wd=wd)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06e2ec3c",
   "metadata": {
    "id": "06e2ec3c"
   },
   "source": [
    "Then we can set up the optimization problem, where the initial conditions of the optimization, design variables and constraints are specified."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e887cff3",
   "metadata": {
    "id": "e887cff3"
   },
   "outputs": [],
   "source": [
    "initial = get_iea37_initial(n_wt)\n",
    "driver = EasyScipyOptimizeDriver()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17cbcb58",
   "metadata": {
    "id": "17cbcb58"
   },
   "source": [
    "When using the turbine positions as design variables, you can specify them in TOPFARM in 4 different ways:\n",
    "\n",
    "    - {'x': [1, 2, 3], 'y':([3, 2, 1], 0, 1), 'z':([4, 5, 6],[4, 5, 4], [6, 7, 6])}\n",
    "    - [('x', [1,2,3]), ('y',([3,2,1], 0, 1)), ('z',([4, 5, 6],[4, 5, 4], [6, 7, 6]))]\n",
    "    - [('x', ([1,2,3], 0, 3, 'm')), ('y', ([3,2,1], 'm')), ('z', ([4,5,6], [4,5,4], [6,7,6]))]\n",
    "    - zip('xy', pos.T)\n",
    "\n",
    "The values are either:\n",
    "\n",
    "- the initial value or\n",
    "- on of the following tuples:\n",
    "  - initial value, unit\n",
    "  - initial value, lower bound, upper bound\n",
    "  - initial value, lower bound, upper bound, unit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8e0c9861",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "8e0c9861",
    "outputId": "ce342d62-f981-4df2-e6a8-dabd475e2b77"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO: checking out_of_order\n",
      "INFO: checking system\n",
      "INFO: checking solvers\n",
      "INFO: checking dup_inputs\n",
      "INFO: checking missing_recorders\n",
      "INFO: checking unserializable_options\n",
      "INFO: checking comp_has_no_outputs\n",
      "INFO: checking auto_ivc_warnings\n"
     ]
    }
   ],
   "source": [
    "design_vars = dict(zip('xy', (initial[:, :2]).T))\n",
    "\n",
    "tf_problem = TopFarmProblem(\n",
    "            design_vars,\n",
    "            cost_comp,\n",
    "            constraints=get_iea37_constraints(n_wt),\n",
    "            driver=driver,\n",
    "            plot_comp=XYPlotComp())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c55cb40b",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 944
    },
    "id": "c55cb40b",
    "outputId": "43ea544e-0c2a-4e56-909c-91c9abe19387"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO: checking out_of_order\n",
      "INFO: checking system\n",
      "INFO: checking solvers\n",
      "INFO: checking dup_inputs\n",
      "INFO: checking missing_recorders\n",
      "INFO: checking unserializable_options\n",
      "INFO: checking comp_has_no_outputs\n",
      "INFO: checking auto_ivc_warnings\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully    (Exit mode 0)\n",
      "            Current function value: -239.6945378502371\n",
      "            Iterations: 171\n",
      "            Function evaluations: 173\n",
      "            Gradient evaluations: 171\n",
      "Optimization Complete\n",
      "-----------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, state, _ = tf_problem.optimize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "011ee8b4",
   "metadata": {
    "id": "011ee8b4"
   },
   "source": [
    "## 2) Turbine type optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "A7IKHzZ4IlSD",
   "metadata": {
    "id": "A7IKHzZ4IlSD"
   },
   "source": [
    "In this example we use the turbine types as design variables, which represent discrete points in the optimization. Because of this, gradient-based methods are not suitable and gradient-free options are needed instead. For this case, we use the **FullFactorialGenerator** as our driver (see the [Drivers](#drivers.ipnyb) tutorial for more information.) We also use the `TurbineTypePlotComponent` available in TOPFARM to visualize the final turbine types."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "nJ5sHd56JXvK",
   "metadata": {
    "id": "nJ5sHd56JXvK"
   },
   "outputs": [],
   "source": [
    "from topfarm.cost_models.dummy import DummyCost\n",
    "from topfarm._topfarm import TopFarmProblem\n",
    "from openmdao.drivers.doe_generators import FullFactorialGenerator\n",
    "from topfarm.plotting import TurbineTypePlotComponent, NoPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "FpuJamfwLTPm",
   "metadata": {
    "id": "FpuJamfwLTPm"
   },
   "outputs": [],
   "source": [
    "# define the conditions for the wind farm\n",
    "positions = np.array([[0, 0], [6, 6]])  # initial turbine position\n",
    "optimal_types = np.array([[2], [6]])    # optimal layout\n",
    "\n",
    "#set up plotting component for turbine types\n",
    "plot_comp = TurbineTypePlotComponent(\n",
    "                turbine_type_names=[\"Turbine %d\" % i for i in range(5)],\n",
    "                plot_initial=False,\n",
    "                delay=0.1, legendloc=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "zm-7C0ELLdui",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "zm-7C0ELLdui",
    "outputId": "7aa8b2f1-e360-4cb9-f897-6de1c3da502d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO: checking out_of_order\n",
      "INFO: checking system\n",
      "INFO: checking solvers\n",
      "INFO: checking dup_inputs\n",
      "INFO: checking missing_recorders\n",
      "INFO: checking unserializable_options\n",
      "INFO: checking comp_has_no_outputs\n",
      "INFO: checking auto_ivc_warnings\n"
     ]
    }
   ],
   "source": [
    "tf = TopFarmProblem(\n",
    "            design_vars={'type': ([0, 0], 0, 4)},\n",
    "            cost_comp=DummyCost(optimal_types, ['type']),\n",
    "            plot_comp=plot_comp,\n",
    "            driver=FullFactorialGenerator(5),\n",
    "            ext_vars={'x': positions[:, 0], 'y': positions[:, 1]},\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cj3mNaRwL24J",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "cj3mNaRwL24J",
    "outputId": "be3e7d2b-8b0c-4165-f5de-ce4225eaf994"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO: checking out_of_order\n",
      "INFO: checking system\n",
      "INFO: checking solvers\n",
      "INFO: checking dup_inputs\n",
      "INFO: checking missing_recorders\n",
      "INFO: checking unserializable_options\n",
      "INFO: checking comp_has_no_outputs\n",
      "INFO: checking auto_ivc_warnings\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO: checking out_of_order\n",
      "INFO: checking system\n",
      "INFO: checking solvers\n",
      "INFO: checking dup_inputs\n",
      "INFO: checking missing_recorders\n",
      "INFO: checking unserializable_options\n",
      "INFO: checking comp_has_no_outputs\n",
      "INFO: checking auto_ivc_warnings\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "state = {}\n",
    "cost, state, recorder = tf.optimize(state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "CqjMOO6NOCuA",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "CqjMOO6NOCuA",
    "outputId": "3f0e283f-144b-4f45-8181-dd0fdb494b35"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2. 4.]\n"
     ]
    }
   ],
   "source": [
    "print(state['type'])"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
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