{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimization with bathymetry and max water depth constraint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Try this yourself](https://colab.research.google.com/github/DTUWindEnergy/TopFarm2/blob/master/docs/notebooks/bathymetry.ipynb) (requires google account)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, an optimization is made where the bathymetry of a site is considered. In addition, a constraint on the allowable maximum water depth is specified." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Install TOPFARM if needed**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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", "metadata": {}, "source": [ "**Install packages if running in Colab**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "3yhWisczHKap" }, "outputs": [], "source": [ "try:\n", " RunningInCOLAB = 'google.colab' in str(get_ipython())\n", "except NameError:\n", " RunningInCOLAB = False" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "mGJDyPJrHQzm" }, "outputs": [], "source": [ "%%capture\n", "if RunningInCOLAB:\n", " !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/PyWake.git\n", " !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/TopFarm2.git\n", " !pip install scipy==1.6.3 # constraint is not continuous which trips vers. 1.4.1 which presently is the default version\n", " import os\n", " os.kill(os.getpid(), 9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**First we import basic Python elements and some TOPFARM classes**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "0tTJQPtBHbXU" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "\n", "from topfarm.cost_models.cost_model_wrappers import CostModelComponent\n", "from topfarm.easy_drivers import EasyScipyOptimizeDriver\n", "from topfarm import TopFarmProblem\n", "from topfarm.plotting import NoPlot, XYPlotComp\n", "from topfarm.constraint_components.boundary import XYBoundaryConstraint\n", "from topfarm.constraint_components.spacing import SpacingConstraint\n", "from topfarm.examples.data.parque_ficticio_offshore import ParqueFicticioOffshore\n", "\n", "from py_wake.deficit_models.gaussian import IEA37SimpleBastankhahGaussian\n", "from py_wake.examples.data.iea37._iea37 import IEA37_WindTurbines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Now, we set up the site and optimization problem**.\n", "\n", "In this case, we are using the `ParqueFicticioOffshore` [site](https://topfarm.pages.windenergy.dtu.dk/PyWake/notebooks/Site.html), which is defined in PyWake. The cost function must also calculate the water depth in addition to the AEP, as it will be used as **post_constraints** in the optimization problem." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "2vx4s8huHfXq" }, "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": [ "#setting up the site and the initial position of turbines\n", "site = ParqueFicticioOffshore()\n", "site.bounds = 'ignore'\n", "x_init, y_init = site.initial_position[:,0], site.initial_position[:,1]\n", "boundary = site.boundary\n", "\n", "#Wind turbines and wind farm model definition\n", "windTurbines = IEA37_WindTurbines() \n", "wfm = IEA37SimpleBastankhahGaussian(site, windTurbines)\n", "\n", "#parameters for the AEP calculation \n", "wsp = np.asarray([10, 15])\n", "wdir = np.arange(0,360,45)\n", "maximum_water_depth = -52 #[m]\n", "n_wt = x_init.size\n", "\n", "def aep_func(x, y, **kwargs):\n", " simres = wfm(x, y, wd=wdir, ws=wsp)\n", " aep = simres.aep().values.sum()\n", " water_depth = np.diag(wfm.site.ds.interp(x=x, y=y)['water_depth'])\n", " return [aep, water_depth]\n", "\n", "#parameters for the optimization problem\n", "tol = 1e-8\n", "ec = 1e-2\n", "min_spacing = 260\n", "maxiter = 30\n", "\n", "#Cost model component and Topfarm problem\n", "cost_comp = CostModelComponent(input_keys=[('x', x_init),('y', y_init)],\n", " n_wt=n_wt,\n", " cost_function=aep_func,\n", " objective=True,\n", " maximize=True,\n", " output_keys=[('AEP', 0), ('water_depth', np.zeros(n_wt))]\n", " )\n", "\n", "problem = TopFarmProblem(design_vars={'x': x_init, 'y': y_init},\n", " constraints=[XYBoundaryConstraint(boundary),\n", " SpacingConstraint(min_spacing)],\n", " post_constraints=[('water_depth', {'lower': maximum_water_depth})],\n", " n_wt = n_wt,\n", " cost_comp=cost_comp,\n", " driver=EasyScipyOptimizeDriver(optimizer='SLSQP', maxiter=maxiter, tol=tol),\n", " plot_comp=XYPlotComp(),\n", " expected_cost=ec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Now we run the optimization**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 696 }, "id": "K2ch8htcRrf_", "outputId": "4392438c-6533-4336-fbe2-acc698ed84f6" }, "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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration limit reached (Exit mode 9)\n", " Current function value: -22373.521516113207\n", " Iterations: 30\n", " Function evaluations: 30\n", " Gradient evaluations: 30\n", "Optimization FAILED.\n", "Iteration limit reached\n", "-----------------------------------\n", "Optimization took: 42s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tic = time.time()\n", "\n", "cost, state, recorder = problem.optimize()\n", "toc = time.time()\n", "print('Optimization took: {:.0f}s'.format(toc-tic))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the recorder to plot the evolution of the water depth with each iteration." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "id": "kcPpUlrD2uZv", "outputId": "b911777b-260f-4cec-e279-1dd2ec84b580" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Max depth [m]')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(recorder['water_depth'].min((1)))\n", "plt.plot([0,recorder['water_depth'].shape[0]],[maximum_water_depth, maximum_water_depth])\n", "plt.xlabel('Iteration')\n", "plt.ylabel('Max depth [m]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also visualize the initial vs optimized layout as countour plots that show the water depth. Note how it is clear how the optimized positions do not cross the boundary set for the water depth." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 312 }, "id": "RNHPmnZN4MpG", "outputId": "dbd9f647-0aab-4d12-c4e4-b02996779c64" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = site.ds.water_depth.values\n", "x = site.ds.x.values\n", "y = site.ds.y.values\n", "levels = np.arange(int(values.min()), int(values.max()))\n", "max_wd_index = int(np.argwhere(levels==maximum_water_depth))\n", "Y, X = np.meshgrid(y, x)\n", "cs = plt.contour(x, y , values.T, levels)\n", "plt.close()\n", "lines = []\n", "\n", "for line in cs.collections[max_wd_index].get_paths():\n", " lines.append(line.vertices)\n", "fig2, ax2 = plt.subplots(1)\n", "\n", "site.ds.water_depth.plot(ax=ax2, levels=100)\n", "for line in lines:\n", " ax2.plot(line[:, 0], line[:,1], 'r')\n", " problem.model.plot_comp.plot_initial2current(x_init, y_init, state['x'], state['y'])\n", " ax2.set_title(f'Max Water Depth Boundary: {maximum_water_depth} m')" ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "bathymetry.ipynb", "provenance": [] }, "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 1 }