{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Drivers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Try this yourself](https://colab.research.google.com/github/DTUWindEnergy/TopFarm2/blob/master/docs/notebooks/drivers.ipynb) (requires google account)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TOPFARM platform actually relies on the **OpenMDAO library**, an open-source platform which aims to build new analysis and optimization tools to be employed in a variety of mathematical and engineering problems. In particular, the word **\"driver\"** is an OpenMDAO technical term which refers to a series of instructions operating on a workflow.\n", "\n", "In the simplest case, a driver can execute an entire workflow; in the case of optimization, a driver is usually an optimization procedure which operates over the workflow until (ideally) an optimal solution is found. When the problem has a particularly complex formulation, there may be multiple drivers acting on sub-groups of a workflow. For instance, in an optimization under uncertainty (OUU) problem, there is usually an uncertainty quantification/analysis driver operating on a workflow nested within a larger optimization workflow.\n", "\n", "This tutorial provides a basic introduction to the application of openMDAO drivers in the optimization of wind farm design as solved by TOPFARM. Such drivers can be based both on iterative step-by-step algorithms or metaheuristic/heuristic algorithms; in particular this tutorial will focus on:\n", "\n", "1. **Design Of Experiments (DOE)**: these drivers sample across a set of input parameters and execute the workflow for each input set. Such drivers can be parallelized easily since each workflow execution is independent from the next.\n", "2. **Gradient-Based or Local-Search optimizers**: these drivers are *iterative algorithms* which use the information on the gradients of the objective function with respect to the design variables in order to explore the design space systematically and find an improved design. This class of drivers is efficient, but still challenged by problems that contain significant nonconvexity, by objective functions that are relatively insensitive to the design variables, and by other issues.\n", "3. **Gradient-Free optimization algorithms**: these drivers are *iterative algorithms* which aim to optimize the objective function under the given constraints assuming that the gradient is unknown. Such methodes usually assign to the objective function an arbitrary score to be minimized or maximised depending on the algorithm specifications.\n", "4. **Gradient-Free Metaheuristic optimizers**: these drivers typically use *nature-inspired algorithms* to search the design space more globally. They use, or even combine, multiple design instances at once and compare their performances to make decisions about how to generate new designs that hopefully improve the objective function. A classic example of this type of optimizer is the *Genetic Algorithm*.\n", "5. **Gradient-Free Heuristic optimizers**: these drivers use some sort of heuristic to search through the design space that is informed by domain knowledge and experience with some element of randomness as well. For example, *Random-Search algorithms* fall into this category and are widely used in commercial wind farm optimization. Heuristic optimizers differ from Metaheuristic ones as they are not \"problem-specific\", indeed, they are developed without making any assumption about the optimization they are going to solve. \n", "\n", "For those interested, further information on the optimization drivers available in OpenMDAO are available at [here](https://openmdao.org/newdocs/versions/latest/_srcdocs/packages/drivers/doe_driver.html). Next, we will introduce a specific example of each of the aforementioned driver types applied to a TOPFARM optimization problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Install TOPFARM (if needed).**" ] }, { "cell_type": "code", "execution_count": 1, "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": [ "**Import supporting libraries in Python**." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "#%matplotlib inline\n", "# uncomment to update plot during optimization\n", "#%matplotlib qt\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Import the \"easy driver\" class from TOPFARM**.\\\n", "This class contains some easy optimizers which will be used in the following examples. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from topfarm.easy_drivers import EasyDriverBase" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Import several functions and classes from TOPFARM, including:**\n", "\n", "- **TopFarmProblem**: overall topfarm problem class to which the objectives, design variables, and constraints are added.\n", "- **XYBoundaryConstraint**: this class specifies a boundary as a series of connected perimeter vertices.\n", "- **SpacingConstraint**: this class specifies the inter-turbine distance constraint. \n", "\n", "Some dummy models (`DummyCost`, `NoPlot`, `DummyCostPlotComp`) are also imported; they will serve as toy-examples of cost models to run the MDAO optimization drivers. Such models are much easier with respect to the ones typically used in wind farm optimization; they take as input a user-defined initial state and a user-defined optimal state and return the sum of the squared difference between the two." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from topfarm._topfarm import TopFarmProblem\n", "from topfarm.constraint_components.boundary import XYBoundaryConstraint\n", "from topfarm.constraint_components.spacing import SpacingConstraint\n", "\n", "from topfarm.cost_models.dummy import DummyCost\n", "from topfarm.plotting import NoPlot\n", "from topfarm.cost_models.dummy import DummyCostPlotComp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Set up the problem by providing an initial and optimal turbine layout, as well as the overall turbine location boundary. Then, initalize the plotting component to visualize the optimization.**" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "initial = np.array([[6, 0, 0], [6, -8, 0], [1, 1, 0]]) # user-defined initial turbine layouts\n", "boundary = np.array([(0, 0), (6, 0), (6, -10), (0, -10)]) # user-defined site boundary vertices\n", "optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n", "\n", "plot_comp = DummyCostPlotComp(optimal, delay=0.1, plot_improvements_only=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Define a function which allow to quickly reconfigure the example for the different drivers.**" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def optimize(driver):\n", " tf = TopFarmProblem(\n", " dict(zip('xy', (initial[:, :2]).T)), # setting up the turbines as design variables\n", " DummyCost(optimal[:, :2]), # using dummy cost model\n", " constraints=[SpacingConstraint(2), # spacing constraint set up for minimum inter-turbine spacing\n", " XYBoundaryConstraint(boundary)], # constraint set up for the boundary type provided\n", " driver=driver, # driver is specified for the example\n", " plot_comp=plot_comp) # support plotting function\n", " tf.optimize() # run the DoE analysis or optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1) DOE (Design Of Experiment) Driver\n", "\n", "In this example, the driver executes a design of experiments over the design variables, looking at how different input sets of the $3$ turbine positions affect the cost function. In particular, two possible configurations of the input values are explored:\n", "- In the first case (A), the `ListGenerator`openMDAO method is used to read possible DOE cases from a user-defined input list of design variables.\n", "- In the second case (B), the `FullFactorialGenerator` openMDAO method is used to evenly sample the design variables between their upper and lower bounds, for a specified number of **levels**, which is given as input to the generator. For example, if the input variables are $2$ and the number of levels is $3$, $3^2$ combinations of the input variables will be explored by the driver.\n", "\n", "More information about the built-in DOE generators of the OpenMDAO library, please see [this link](http://openmdao.org/twodocs/versions/latest/_srcdocs/packages/drivers/doe_generators.html).\n", "\n", "#### A) User-defined input variables" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "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", "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": [ "
" ] }, "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": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from openmdao.drivers.doe_generators import ListGenerator\n", "from openmdao.drivers.doe_driver import DOEDriver\n", "\n", "optimize(DOEDriver(ListGenerator([[('x', [0., 3., 6.]), ('y', [-10., -10., -10.])],\n", " [('x', [0., 3., 6.]), ('y', [-5., -5., -5.])],\n", " [('x', [0., 3., 6.]), ('y', [-0., -0., -0.])],\n", " ])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### B) Full-factorial approach\n", "\n", "\n", "\"_In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or \"levels\", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design. Such an experiment allows the investigator to study the effect of each factor on the response variable, as well as the effects of interactions between factors on the response variable._\" [[1]](https://en.wikipedia.org/wiki/Factorial_experiment)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "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", "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", "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": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from openmdao.drivers.doe_generators import FullFactorialGenerator, ListGenerator\n", "from openmdao.drivers.doe_driver import DOEDriver\n", "\n", "optimize(DOEDriver(FullFactorialGenerator(2))) # full factorial sampling with 2 levels (2 is the default)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "\n", "Now try to update the number of levels given as input to the `FullFactorialGenerator` to see how it affects the sampling of the design space. You will notice that, as you increase the number of levels, also the computational time increases; this is due to the full factorization which is perfomed by the generator and represents a limit in the exploration of a continuum space. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "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", "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", "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" } ], "source": [ "optimize(DOEDriver(FullFactorialGenerator(3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Gradient-Based Optimization with the ScipyOptimizeDriver\n", "\n", "In this example, an openMDAO gradient-based optimization which uses the open-source Scipy algorithm **Sequential Least Squares Quadratic Programming** (or SLSQP) is presented. Indeed, the OpenMDAO library includes several built-in drivers which rely on open-sourced libraries containing optimization algorithms such as SciPy and PyOptSparse. \n", "\n", "Note that in TOPFARM, the OpenMDAO drivers are wrapped to further ease their usage within the framework of wind farm design optimization." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Import the TOPFARM implementation of the Scipy optimizer and execute a gradient-based optimization.**" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "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", "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": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from topfarm.easy_drivers import EasyScipyOptimizeDriver\n", "\n", "# setup parameters for optimization: maximum iterations and tolerance (required tolerance for establishing convergence)\n", "optimize(EasyScipyOptimizeDriver(optimizer='SLSQP', maxiter=200, tol=1e-6, disp=False))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, it can be noticed that the number of iterations which are necessary to the optimization problem to converge are much less than the maximum allowed (`maxiter` $=200$). In addition, the `EasyScipyOptimizeDriver` driver looks to work much better than the `DOEdriver` for this specific Topfarm optimization problem. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "\n", "Now adjust the optimal positions of the wind turbines and see how the optimization performs." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "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", "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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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimal = np.array([[6, -3, 1], [5, -6, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n", "\n", "plot_comp = DummyCostPlotComp(optimal, delay=0.5, plot_improvements_only=True)\n", "\n", "optimize(EasyScipyOptimizeDriver(optimizer='SLSQP', maxiter=200, tol=1e-6, disp=False))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3) Gradient-Free Optimization with the ScipyOptimizeDriver\n", "\n", "A popular **Gradient-Free Optimization Algorithm** optimization method in SciPy is the **Constrained Optimization BY Linear Approximation** (COBYLA), a local-search method which does not rely on the computation of the gradient. In particular, it performs a linear approximation of the objective function and it iterates the searching process until the optimal is found.\n", "\n", "Now we will set up the original optimization problem from scratch and we will specifiy COBYLA as the optimization driver. The maximum number of iterations and tolerance parameters are kept the same." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "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", "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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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#set optimal back to original optimal\n", "optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n", "\n", "plot_comp = DummyCostPlotComp(optimal, delay=0.5, plot_improvements_only=True)\n", "\n", "from topfarm.easy_drivers import EasyScipyOptimizeDriver\n", "optimize(EasyScipyOptimizeDriver(optimizer='COBYLA', maxiter=200, tol=1e-6, disp=False))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4) Metaheuristic Optimization with the Genetic Algorithm (GA) driver\n", "\n", "This example shows a simple **Genetic Algorithm metaheuristic optimization** approach. The Genetic Algorithm explores the space of the design variables much more exhaustively than the step-by-step algorithms seen above. However, such more comprehensive exploration comes at the cost of a slower convergence to the optimal solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Import the TOPFARM implmentation of the GA driver and execute an optimization.**" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "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", "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": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from topfarm.drivers.random_search_driver import RandomizeTurbinePosition_Circle\n", "from topfarm.easy_drivers import EasySimpleGADriver\n", "\n", "# choose parameters for optimization: max_gen sets the number of iterations and pop_size sets the number of individuals in the population within each iteration\n", "optimize(EasySimpleGADriver(max_gen=100, pop_size=5, Pm=None, Pc=.5, elitism=True, bits={}))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As just introduced, the Genetic Algorithm can be very slow; indeed, even after 100 generations, the full convergence is not achieved yet. This clearly shows the advantages of gradient-based methods for smartly probing the design space. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5) Heuristic Optimization with the Easy Random-Search driver\n", "\n", "An example of **Heuristic methods** are **Random-Search algorithms**; the Topfarm library includes a simple random-search algorithm based on the work of Ju Feng, actually Senior Researcher at DTU Wind an Energy Systems. In a few words, this recursive algorithm chooses the positions of the wind turbines at each iteration by randomly extracting two real numbers, which correspond to the euclidean norm and the angle of a reference vector. Per each iteration, the candidate solution is tested for improvement against the objective function. The reference paper, containing the major information about such algorithm, can be found at [here](https://www.sciencedirect.com/science/article/pii/S0960148115000129?via%3Dihub). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Set up optimization using TOPFARM implementation of random search with turbine position circle method.**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "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", "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" } ], "source": [ "initial = np.array([[8, -9, 0], [7, -2, 0], [5, -5, 0]]) # user-defined initial turbine layouts\n", "boundary = np.array([(0, 0), (10, 0), (10, -10), (0, -10)]) # user-defined site boundary vertices\n", "optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n", "\n", "from topfarm.drivers.random_search_driver import RandomizeTurbinePosition_Circle\n", "from topfarm.easy_drivers import EasyRandomSearchDriver\n", "\n", "# Set up key parameters of random search\n", "# Maximum iterations max_iter sets the maximum number of iterations of the optimization\n", "# Maximum time max_time limits execution time (so also limits the overall number of iterations)\n", "# Maximum step max_step limits how much the design can change on a given iteration\n", "\n", "optimize(EasyRandomSearchDriver(\n", " randomize_func=RandomizeTurbinePosition_Circle(max_step=5), \n", " max_iter=100, \n", " max_time=1000, \n", " disp=False))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example shows that, weather the Heuristic Random-Search algorithm from J. Feng takes less iterations with respect to the Metaheuristic GA, it's still slower than gradient-based methods. However, it remains of great importance to have Heuristic and Metaheuristic methods at our disposal, as they are more powerful in the face of complex functions with many local minima and plateaux, where gradient-based methods easily fail." ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }