{ "cells": [ { "cell_type": "markdown", "id": "e725021a", "metadata": {}, "source": [ "# Ørsted TurbOPark\n", "\n", "This notebook reproduces the results and figures of the two examples provided by Ørsted in https://github.com/OrstedRD/TurbOPark/blob/main/TurbOParkExamples.mlx\n", "\n", "The PyWake look-up table used for the GaussianOverlap model is slightly different from look-up table used by Ørsted (which has a finer grid resolution). The results are therefore slightly different (relative error < 1e-5)." ] }, { "cell_type": "markdown", "id": "377f4328", "metadata": {}, "source": [ "**Install PyWake if needed**" ] }, { "cell_type": "code", "execution_count": 1, "id": "adc58090", "metadata": {}, "outputs": [], "source": [ "# Install PyWake if needed\n", "try:\n", " import py_wake\n", "except ModuleNotFoundError:\n", " !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/PyWake.git" ] }, { "cell_type": "markdown", "id": "affd5349", "metadata": {}, "source": [ "**Setting up the wind turbine and site objects**" ] }, { "cell_type": "code", "execution_count": 2, "id": "c700b795", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from py_wake.wind_turbines._wind_turbines import WindTurbine, WindTurbines\n", "from py_wake.wind_turbines.power_ct_functions import PowerCtTabular\n", "from py_wake.site._site import UniformSite\n", "from py_wake.site.shear import PowerShear\n", "from py_wake.utils.plotting import setup_plot" ] }, { "cell_type": "markdown", "id": "a8139413", "metadata": {}, "source": [ "**Specifying the wind speed and power and CT curve**" ] }, { "cell_type": "code", "execution_count": 3, "id": "277a7e17", "metadata": {}, "outputs": [], "source": [ "u = np.arange(0, 25.5, .5)\n", "po = [0, 0, 0, 0, 5, 15, 37, 73, 122, 183, 259, 357, 477, 622, 791, 988, 1212, 1469, 1755, 2009, 2176, 2298, 2388, 2447, 2485, 2500, 2500, 2500,\n", " 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500,\n", " 2500, 2500, 2500, 2500, 2500, 2500, 2500, 0]\n", "ct = [0, 0, 0, 0, 0.78, 0.77, 0.78, 0.78, 0.77, 0.77, 0.78, 0.78, 0.78, 0.78, 0.78, 0.78, 0.77, 0.77, 0.77, 0.76, 0.73, 0.7, 0.68, 0.52, 0.42,\n", " 0.36, 0.31, 0.27, 0.24, 0.22, 0.19, 0.18, 0.16, 0.14, 0.13, 0.12, 0.11, 0.1, 0.09, 0.08, 0.08, 0.08, 0.07, 0.07, 0.06, 0.06, 0.06,\n", " 0.05, 0.05, 0.05, 0.04, 0]\n", "\n", "wt1 = WindTurbine(name=\"Ørsted1\", diameter=120, hub_height=100, powerCtFunction=PowerCtTabular(u, po, 'kw', ct))\n", "\n", "u2 = np.arange(0, 27)\n", "pow2 = [0, 0, 0, 0, 54, 144, 289, 474, 730, 1050, 1417, 1780, 2041, 2199, 2260, 2292, 2299, 2300, 2300, 2300, 2300, 2300, 2300, 2300, 2300, 2300, 0]\n", "ct2 = [0, 0, 0, 0, 0.94, 0.82, 0.76, 0.68, 0.86, 0.83, 0.77, 0.68, 0.66, 0.52, 0.47, 0.41, 0.38, 0.34, 0.27, 0.26, 0.23, 0.22, 0.22, 0.2, 0.16, 0.17, 0]\n", "wt2 = WindTurbine(name=\"Ørsted2\", diameter=80, hub_height=70, powerCtFunction=PowerCtTabular(u2, pow2, 'kw', ct2))\n", "wts = WindTurbines.from_WindTurbine_lst([wt1,wt2])" ] }, { "cell_type": "markdown", "id": "7d0df6e2", "metadata": {}, "source": [ "**Plotting the power curve**" ] }, { "cell_type": "code", "execution_count": 4, "id": "701b94f4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u = np.linspace(0,25)\n", "\n", "for t in [0,1]:\n", " plt.plot(u,wts.power(u, type=t)/1000, label=wts.name(t))\n", "setup_plot(xlabel='Wind speed [m/s]', ylabel='Power [kW]', title='Power curve')" ] }, { "cell_type": "markdown", "id": "9fc47ee2", "metadata": {}, "source": [ "**Plotting the CT curve**" ] }, { "cell_type": "code", "execution_count": 5, "id": "59abef82", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for t in [0,1]:\n", " plt.plot(u,wts.ct(u, type=t), label=wts.name(t))\n", "setup_plot(xlabel='Wind speed [m/s]', ylabel='Thrust coefficient [-]', title='Thrust curve')" ] }, { "cell_type": "markdown", "id": "231715f9", "metadata": {}, "source": [ "**Wind speed, wind direction and turbulence intensity**" ] }, { "cell_type": "code", "execution_count": 6, "id": "be2fe746", "metadata": {}, "outputs": [], "source": [ "u0 = [6,10,14] # [m/s]\n", "wd = 270 # [deg]\n", "ti0 = [0.09,.1,.11] # [-]" ] }, { "cell_type": "markdown", "id": "362a503b", "metadata": {}, "source": [ "## Example 1 - Square farm with identical turbines" ] }, { "cell_type": "code", "execution_count": 7, "id": "b52bd8f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y, x = [v.flatten() for v in np.meshgrid(np.arange(4) * 120 * 6, np.arange(4) * 120 * 6)]\n", "wt1.plot(x, y)" ] }, { "cell_type": "code", "execution_count": 8, "id": "b24468f5", "metadata": {}, "outputs": [], "source": [ "site = UniformSite(shear=PowerShear(h_ref=90, alpha=.1))" ] }, { "cell_type": "code", "execution_count": 9, "id": "b820f9af", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.DataArray 'WS_eff' (wt: 16, wd: 1, ws: 3)>\n",
       "array([[[ 6.06355051, 10.10591751, 14.14828452]],\n",
       "\n",
       "       [[ 6.06355051, 10.10591751, 14.14828452]],\n",
       "\n",
       "       [[ 6.06355051, 10.10591751, 14.14828452]],\n",
       "\n",
       "       [[ 6.06355051, 10.10591751, 14.14828452]],\n",
       "\n",
       "       [[ 4.35804581,  7.37377436, 12.8635598 ]],\n",
       "\n",
       "       [[ 4.35804581,  7.37377436, 12.8635598 ]],\n",
       "\n",
       "       [[ 4.35804581,  7.37377436, 12.8635598 ]],\n",
       "\n",
       "       [[ 4.35804581,  7.37377436, 12.8635598 ]],\n",
       "\n",
       "       [[ 3.82923427,  6.45011265, 12.02767091]],\n",
       "\n",
       "       [[ 3.82923427,  6.45011265, 12.02767091]],\n",
       "\n",
       "       [[ 3.82923427,  6.45011265, 12.02767091]],\n",
       "\n",
       "       [[ 3.82923427,  6.45011265, 12.02767091]],\n",
       "\n",
       "       [[ 3.48367104,  5.87190035, 11.17215029]],\n",
       "\n",
       "       [[ 3.48367104,  5.87190035, 11.17215029]],\n",
       "\n",
       "       [[ 3.48367104,  5.87190035, 11.17215029]],\n",
       "\n",
       "       [[ 3.48367104,  5.87190035, 11.17215029]]])\n",
       "Coordinates:\n",
       "  * wt       (wt) int32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n",
       "  * wd       (wd) int32 270\n",
       "  * ws       (ws) int32 6 10 14\n",
       "    type     (wt) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0 0.0\n",
       "Attributes:\n",
       "    Description:  Effective local wind speed [m/s]
" ], "text/plain": [ "\n", "array([[[ 6.06355051, 10.10591751, 14.14828452]],\n", "\n", " [[ 6.06355051, 10.10591751, 14.14828452]],\n", "\n", " [[ 6.06355051, 10.10591751, 14.14828452]],\n", "\n", " [[ 6.06355051, 10.10591751, 14.14828452]],\n", "\n", " [[ 4.35804581, 7.37377436, 12.8635598 ]],\n", "\n", " [[ 4.35804581, 7.37377436, 12.8635598 ]],\n", "\n", " [[ 4.35804581, 7.37377436, 12.8635598 ]],\n", "\n", " [[ 4.35804581, 7.37377436, 12.8635598 ]],\n", "\n", " [[ 3.82923427, 6.45011265, 12.02767091]],\n", "\n", " [[ 3.82923427, 6.45011265, 12.02767091]],\n", "\n", " [[ 3.82923427, 6.45011265, 12.02767091]],\n", "\n", " [[ 3.82923427, 6.45011265, 12.02767091]],\n", "\n", " [[ 3.48367104, 5.87190035, 11.17215029]],\n", "\n", " [[ 3.48367104, 5.87190035, 11.17215029]],\n", "\n", " [[ 3.48367104, 5.87190035, 11.17215029]],\n", "\n", " [[ 3.48367104, 5.87190035, 11.17215029]]])\n", "Coordinates:\n", " * wt (wt) int32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n", " * wd (wd) int32 270\n", " * ws (ws) int32 6 10 14\n", " type (wt) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0 0.0\n", "Attributes:\n", " Description: Effective local wind speed [m/s]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from py_wake.literature import Nygaard_2022\n", "\n", "wfm = Nygaard_2022(site, wt1)\n", "sim_res = wfm(x, y, ws=u0, wd=wd, TI=ti0)\n", "sim_res.WS_eff" ] }, { "cell_type": "markdown", "id": "857dc1f7", "metadata": {}, "source": [ "**We now calculate the power of each turbine in the wind farm**" ] }, { "cell_type": "code", "execution_count": 10, "id": "68495da2", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'Power' (wt: 16, wd: 1, ws: 3)>\n",
       "array([[[ 495.42964709, 2201.84387294, 2500.        ]],\n",
       "\n",
       "       [[ 495.42964709, 2201.84387294, 2500.        ]],\n",
       "\n",
       "       [[ 495.42964709, 2201.84387294, 2500.        ]],\n",
       "\n",
       "       [[ 495.42964709, 2201.84387294, 2500.        ]],\n",
       "\n",
       "       [[ 165.6815891 ,  938.26709823, 2500.        ]],\n",
       "\n",
       "       [[ 165.6815891 ,  938.26709823, 2500.        ]],\n",
       "\n",
       "       [[ 165.6815891 ,  938.26709823, 2500.        ]],\n",
       "\n",
       "       [[ 165.6815891 ,  938.26709823, 2500.        ]],\n",
       "\n",
       "       [[ 105.26495844,  607.53266956, 2485.8301274 ]],\n",
       "\n",
       "       [[ 105.26495844,  607.53266956, 2485.8301274 ]],\n",
       "\n",
       "       [[ 105.26495844,  607.53266956, 2485.8301274 ]],\n",
       "\n",
       "       [[ 105.26495844,  607.53266956, 2485.8301274 ]],\n",
       "\n",
       "       [[  71.82431459,  446.25608366, 2408.31373411]],\n",
       "\n",
       "       [[  71.82431459,  446.25608366, 2408.31373411]],\n",
       "\n",
       "       [[  71.82431459,  446.25608366, 2408.31373411]],\n",
       "\n",
       "       [[  71.82431459,  446.25608366, 2408.31373411]]])\n",
       "Coordinates:\n",
       "  * wt       (wt) int32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n",
       "  * wd       (wd) int32 270\n",
       "  * ws       (ws) int32 6 10 14\n",
       "    type     (wt) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0 0.0
" ], "text/plain": [ "\n", "array([[[ 495.42964709, 2201.84387294, 2500. ]],\n", "\n", " [[ 495.42964709, 2201.84387294, 2500. ]],\n", "\n", " [[ 495.42964709, 2201.84387294, 2500. ]],\n", "\n", " [[ 495.42964709, 2201.84387294, 2500. ]],\n", "\n", " [[ 165.6815891 , 938.26709823, 2500. ]],\n", "\n", " [[ 165.6815891 , 938.26709823, 2500. ]],\n", "\n", " [[ 165.6815891 , 938.26709823, 2500. ]],\n", "\n", " [[ 165.6815891 , 938.26709823, 2500. ]],\n", "\n", " [[ 105.26495844, 607.53266956, 2485.8301274 ]],\n", "\n", " [[ 105.26495844, 607.53266956, 2485.8301274 ]],\n", "\n", " [[ 105.26495844, 607.53266956, 2485.8301274 ]],\n", "\n", " [[ 105.26495844, 607.53266956, 2485.8301274 ]],\n", "\n", " [[ 71.82431459, 446.25608366, 2408.31373411]],\n", "\n", " [[ 71.82431459, 446.25608366, 2408.31373411]],\n", "\n", " [[ 71.82431459, 446.25608366, 2408.31373411]],\n", "\n", " [[ 71.82431459, 446.25608366, 2408.31373411]]])\n", "Coordinates:\n", " * wt (wt) int32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n", " * wd (wd) int32 270\n", " * ws (ws) int32 6 10 14\n", " type (wt) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0 0.0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim_res.Power /1000" ] }, { "cell_type": "markdown", "id": "f22c74b8", "metadata": {}, "source": [ "**Then, we calculate the wake losses**" ] }, { "cell_type": "code", "execution_count": 11, "id": "6c946f14", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "((1-(sim_res.Power.mean('wt') / sim_res.Power.max('wt')))*100).plot()\n", "setup_plot(ylabel='Wake loss [%]', xlabel='Freestream wind speed [m/s]')" ] }, { "cell_type": "markdown", "id": "9d3ab52e", "metadata": {}, "source": [ "## Example 2 - Two turbine types plus wind speed gradient" ] }, { "cell_type": "markdown", "id": "4e6a24a8", "metadata": {}, "source": [ "**First we set up the two types of wind turbines in the farm**" ] }, { "cell_type": "code", "execution_count": 12, "id": "b156b37b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "type = np.array([1,1,0,0]*4)\n", "wts.plot(x, y, type=type)" ] }, { "cell_type": "code", "execution_count": 13, "id": "66c5b3a0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import xarray as xr\n", "from py_wake.site import XRSite\n", "\n", "x_pt = np.arange(-100,3100,100)\n", "Y_pt,X_pt = np.meshgrid(x_pt,x_pt)\n", "grad = ((X_pt-5)**2 + (Y_pt)**2)*10**(-8) + 1\n", "speedup= grad/grad[1,1]\n", "ds = xr.Dataset({'Speedup':(('x','y'), speedup), 'P':1}, coords={'x':x_pt,'y':x_pt})\n", "ds.Speedup.plot()\n", "wts.plot(x, y, type=type)" ] }, { "cell_type": "markdown", "id": "ca4ad952", "metadata": {}, "source": [ "**We now specify the gradients of the wind speed**" ] }, { "cell_type": "code", "execution_count": 14, "id": "3fa17529", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[0.97518172]],\n", "\n", " [[0.98025267]],\n", "\n", " [[1.03157163]],\n", "\n", " [[1.05776616]],\n", "\n", " [[0.98018245]],\n", "\n", " [[0.9852534 ]],\n", "\n", " [[1.03675394]],\n", "\n", " [[1.06294848]],\n", "\n", " [[0.99528606]],\n", "\n", " [[1.00035701]],\n", "\n", " [[1.05240599]],\n", "\n", " [[1.07860052]],\n", "\n", " [[1.02049256]],\n", "\n", " [[1.0255635 ]],\n", "\n", " [[1.07852775]],\n", "\n", " [[1.10472229]]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gradient_site = XRSite(ds=ds, shear=PowerShear(h_ref=90, alpha=.1))\n", "gradient_site.local_wind(x,y,wts.hub_height(type), ws=1)['WS_ilk']" ] }, { "cell_type": "code", "execution_count": 15, "id": "8f71ee7a", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'WS_eff' (wt: 16, wd: 1, ws: 3)>\n",
       "array([[[ 5.85109034,  9.75181723, 13.65254412]],\n",
       "\n",
       "       [[ 5.881516  ,  9.80252667, 13.72353733]],\n",
       "\n",
       "       [[ 6.18942978, 10.31571631, 14.44200283]],\n",
       "\n",
       "       [[ 6.34659697, 10.57766162, 14.80872627]],\n",
       "\n",
       "       [[ 4.37635315,  7.29654649, 11.30769686]],\n",
       "\n",
       "       [[ 4.40032994,  7.33705588, 11.38300503]],\n",
       "\n",
       "       [[ 4.47086687,  7.59526343, 13.26337806]],\n",
       "\n",
       "       [[ 4.58382739,  7.82538149, 13.71972616]],\n",
       "\n",
       "       [[ 4.0259611 ,  6.71637847, 10.09987749]],\n",
       "\n",
       "       [[ 4.04256332,  6.7422665 , 10.162897  ]],\n",
       "\n",
       "       [[ 3.98767263,  6.73423506, 12.72628796]],\n",
       "\n",
       "       [[ 4.08583929,  6.92565811, 13.26102546]],\n",
       "\n",
       "       [[ 3.94419704,  6.48890696,  9.45282588]],\n",
       "\n",
       "       [[ 3.95541264,  6.51954795,  9.5148913 ]],\n",
       "\n",
       "       [[ 3.71960601,  6.2782012 , 12.39637986]],\n",
       "\n",
       "       [[ 3.80940787,  6.44644865, 13.04456244]]])\n",
       "Coordinates:\n",
       "  * wt       (wt) int32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n",
       "  * wd       (wd) int32 270\n",
       "  * ws       (ws) int32 6 10 14\n",
       "    type     (wt) float64 1.0 1.0 0.0 0.0 1.0 1.0 ... 0.0 0.0 1.0 1.0 0.0 0.0\n",
       "Attributes:\n",
       "    Description:  Effective local wind speed [m/s]
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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ws in u0:\n", " plt.figure()\n", " for row, p in enumerate((sim_res.Power.sel(ws=ws, wd=270).values.reshape((4,4))).T/1000,1):\n", " plt.plot(sim_res.x[::4], p, label=f'Row {row}')\n", " plt.plot(sim_res.x.sel(wt=15), sim_res.Power.sel(ws=ws, wd=270,wt=15)/1000,'.r', 'WT15')\n", " setup_plot(title=f'Wind speed {ws}m/s', ylabel='Power [kW]', xlabel='X coordinate [m]')" ] } ], "metadata": { "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": 5 }