{ "cells": [ { "cell_type": "markdown", "id": "ad3f0bd8", "metadata": {}, "source": [ "# Gaussian Wake Deficit Models" ] }, { "cell_type": "markdown", "id": "982159b7", "metadata": {}, "source": [ "This notebook reproduces the results of several papers presenting different versions of Gaussian wake models. They are presented in order of their publication dates.\n", " \n", "Whilst PyWake defines wake models very generalisticly, some PyWake wind farm models have been defined to reproduce how they were originally published. For the Gaussian wake models these can be found in `py_wake/literature/gaussian_models.py`. That script is also a good starting point to check how you can setup your own Gaussian wind farm model. " ] }, { "cell_type": "code", "execution_count": 1, "id": "753f4621", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "# 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\n", "\n", "# import general\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import os" ] }, { "cell_type": "markdown", "id": "1e4fc184", "metadata": {}, "source": [ "## Bastankhah and Porté-Agel (2014)\n", "\n", "This section reproduces results from \n", "\n", "Bastankhah M and Porté-Agel F.: _A new analytical model for wind-turbine wakes_, J. Renew. Energy., 70:116-23, (2014), https://doi.org/10.1016/j.renene.2014.01.002\n", "\n", "This paper presents a general definition of a wake model with Gaussian profile shape that obeys momentum conservation for an isolated turbine and can be seen as the foundation of the Gaussain wake model family. All subsequent model developments are based on the assumptions defined within this paper. " ] }, { "cell_type": "markdown", "id": "a2b5cd21", "metadata": {}, "source": [ "### Site and wind turbine\n", "\n", "Define dummy wind turbine with fixed $C_T$ and simple site. We basically define a $C_T$ curve that is constant by setting the values at very large and low wind speed. Power is not needed, therefore it is set to zero. The site is needed in the simulation but it has no influence on the computed deficit, as the deficit is substracted from the background mean-flow. The deficit model does not respond to changes in turbulence intensity. " ] }, { "cell_type": "code", "execution_count": 2, "id": "351f7af9", "metadata": {}, "outputs": [], "source": [ "from py_wake.wind_turbines import WindTurbine\n", "from py_wake.wind_turbines.power_ct_functions import PowerCtTabular\n", "from py_wake.site._site import UniformSite\n", "\n", "class Dummy(WindTurbine):\n", " def __init__(self, name='dummy', ct=0.8, d=80., zh=70.):\n", " WindTurbine.__init__(self, name=name, diameter=d,\n", " hub_height=zh, powerCtFunction=PowerCtTabular([-100, 100], [0, 0], 'kW', [ct, ct]))\n", "\n", "class BastankhahSite(UniformSite):\n", " def __init__(self, ws=10., ti=0.04):\n", " UniformSite.__init__(self, ti=ti, ws=ws)" ] }, { "cell_type": "markdown", "id": "96d8b4b6", "metadata": {}, "source": [ "### Wind farm model\n", "\n", "The paper is not really defining a wind farm model at all, but only a deficit model. However, in PyWake we need to define these to simulate wake flows, thus we defined a literature model that uses some reasonable presets, which is loaded here.\n", "\n", "Note that this model requires the user to input the wake expansion factor, $k$ (called $k^*$ in the paper)." ] }, { "cell_type": "code", "execution_count": 3, "id": "dcfbfd4f", "metadata": {}, "outputs": [], "source": [ "from py_wake.literature.gaussian_models import Bastankhah_PorteAgel_2014" ] }, { "cell_type": "markdown", "id": "3f7069eb", "metadata": {}, "source": [ "### Validation\n", "\n", "To validate our implementation we choose to compare data from Fig.7 of the paper, as this tests the wake shape, wake expansion and centre line deficit at the same time. Only wake profiles will be compared, as they provide the most quantitative comparison. Here we limit it to cases 2 and 3, computed at $x/D = [3, 5]$, where $D$ is the rotor diameter and $x$ the downstream distance from the rotor plane. This is sufficient to demonstrate that the model is implemented correctly.\n", "\n", "The inputs for the simulation are taken from Table 1 and Fig. 7. Table 1 provides wind turbine and inflow parameters (shear is not needed, for reasons mentioned before) and Fig. 4 provides the wake expansion factors for each case that were fitted to LES data. Note that the initial wake size, $\\epsilon$, is not taken from Fig. 4, but computed as defined in the paper in Eq.(21) using $0.2 \\sqrt{\\beta}$. " ] }, { "cell_type": "markdown", "id": "c6bcfe97", "metadata": {}, "source": [ "**Case definition**" ] }, { "cell_type": "code", "execution_count": 4, "id": "38e8c2b7", "metadata": {}, "outputs": [], "source": [ "# expansion factors (taken from Fig.4)\n", "ks = [0.055, 0.040]\n", "# hub height wind speed\n", "ws = 9.\n", "# rotor diameter\n", "d = 80.\n", "# rotor hub height\n", "zh = 70.\n", "# rotor thrust coefficient\n", "ct = 0.8" ] }, { "cell_type": "markdown", "id": "73a3d52d", "metadata": {}, "source": [ "**Fig. 7 reproduction**" ] }, { "cell_type": "markdown", "id": "e2216a67", "metadata": {}, "source": [ "Load reference data" ] }, { "cell_type": "code", "execution_count": 5, "id": "da3bd5c8", "metadata": {}, "outputs": [], "source": [ "# load reference data extracted manually from Fig.7 of the paper (only cases 2 and 3 at x/d=3, 5)\n", "dat = np.genfromtxt(os.path.join('data', 'Gaussian', 'Basthankhah_PorteAgel_2014_Fig7.csv'),\n", " skip_header=2, delimiter=',')\n", "\n", "cases = ['case_2', 'case_3']\n", "# downstream position\n", "xd = [3., 5.]\n", "names = ['LES', 'model']\n", "ref_fig7 = {}\n", "for i, case in enumerate(cases):\n", " tmp = {}\n", " for j, name in enumerate(names):\n", " tmp2 = np.zeros((dat.shape[0], len(xd), 2))\n", " for k in range(len(xd)):\n", " col = 8 * i + 2 * j + 4 * k\n", " tmp2[:, k, [0, 1]] = dat[:, [col, col + 1]]\n", " tmp[name] = tmp2\n", " ref_fig7[case] = tmp" ] }, { "cell_type": "markdown", "id": "8d35e7a2", "metadata": {}, "source": [ "Simulation and plotting" ] }, { "cell_type": "code", "execution_count": 6, "id": "8eb2c4ab", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from py_wake.flow_map import XZGrid\n", "\n", "# normal point distribution for plotting\n", "zd = np.linspace(0.2, 2., 201)\n", "\n", "# define wind turbine and site\n", "wt = Dummy(ct=ct, d=d, zh=zh)\n", "site = BastankhahSite(ws=ws)\n", "\n", "fig, ax = plt.subplots(2, 2, sharey=True, figsize=(8, 5))\n", "for i, (case, k) in enumerate(zip(cases, ks)):\n", " # wind farm model, you need to set the expansion factor, k\n", " wfm = Bastankhah_PorteAgel_2014(site, wt, k)\n", " # simulation\n", " sim = wfm(x=[0.], y=[0.], wd=270., ws=ws)\n", " # wake profiles\n", " u = np.squeeze(sim.flow_map(XZGrid(y=0.0, x=np.array(xd) * d, z=zd * d)).WS_eff)\n", " for j in range(len(xd)):\n", " ax[i, j].plot(ref_fig7[case]['model'][:, j, 0], ref_fig7[case]['model'][:, j, 1], 'k-', label='Model (2014)')\n", " ax[i, j].plot(ref_fig7[case]['LES'][:, j, 0], ref_fig7[case]['LES'][:, j, 1], 'o', color=0.5 * np.ones(3), label='LES (2014)')\n", " ax[i, j].plot(1. - u[:, j] / ws, zd, 'b:', label='PyWake')\n", " if i == 0:\n", " ax[i, j].set_title(r'$x/D={:.0f}$'.format(xd[j]))\n", " if i == 1:\n", " ax[i, j].set_xlabel(r'$\\Delta u/ U_{\\infty}$')\n", " if j == 0:\n", " ax[i, j].set_ylabel(r'$z/D$')\n", " ax[i, j].grid(lw=0.5, alpha=0.3)\n", "lines, labels = ax[0, 0].get_legend_handles_labels()\n", "leg = fig.legend(lines, labels, loc='upper right')\n", "leg.get_frame().set_alpha(1.0)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "7e751e8d", "metadata": {}, "source": [ "The agreement between PyWake and the paper is perfect, with any deviations being easily attributed to the manual extraction of data from the paper (the plot is rather small). " ] }, { "cell_type": "markdown", "id": "e3c4257d", "metadata": {}, "source": [ "## Niayifar and Porté-Agel (2016)\n", "\n", "This section reproduces results from \n", "\n", "Niayifar A and Porté-Agel F.: _Analytical Modeling of Wind Farms: A New Approach for Power Prediction_, Energies, 9(9), 741, (2016), https://doi.org/10.3390/en9090741\n", "\n", "This paper defines a wind farm model using the Gaussian wake model by Bastankhah and Porté-Agel (2014). Important additions are:\n", "\n", "- inflow turbulence intensity depended wake expansion\n", "- linear wake superposition\n" ] }, { "cell_type": "markdown", "id": "be38bafe", "metadata": {}, "source": [ "### Site and wind turbine\n", "\n", "The paper presents results for Horns Rev 1, which are available in PyWake." ] }, { "cell_type": "code", "execution_count": 7, "id": "1e36a753", "metadata": {}, "outputs": [], "source": [ "from py_wake.examples.data.hornsrev1 import Hornsrev1Site, V80, wt_x, wt_y\n", "v80_pw = V80()\n", "site = Hornsrev1Site()" ] }, { "cell_type": "markdown", "id": "6a86ba36", "metadata": {}, "source": [ "Unfortunatley it remains somewhat unclear what thrust and power curves the authors used for the Vestas V-80 in their simulations. Only after testing a lot of different possibilities were we able to reproduce their results.\n", "\n", "They present a fitted power curve in Fig. 2, but also show 2 more pairs of curves in Fig. 4 (observed and predicted) without clearly stating which curves were exactly used. Here we show how much these different V-80 definitions differ and also compare it to the one in PyWake. From Fig. 4 only the curves labelled _predicted_ were extracted manually from the paper. In Fig. 2 no thrust curve has been defined so we used the one from Fig. 4, instead. Yet there is another issue in that case. The curves in Fig. 4 only start at a wind speed of 5 m/s, but the one in Fig. 4 starts at 4 m/s, the we take the $C_T$ from Fig. 4 but need to add another value at 4 m/s, which is simply set to the $C_T$ at 5 m/s." ] }, { "cell_type": "code", "execution_count": 8, "id": "1409d0b8", "metadata": {}, "outputs": [], "source": [ "# load reference data extracted manually from Fig.5 of the paper\n", "dat = np.genfromtxt(os.path.join('data', 'Gaussian', 'Niayifar_PorteAgel_2016_Fig4.csv'),\n", " skip_header=2, delimiter=',')\n", "\n", "v80_2016_fig4 = WindTurbine(name=\"V80 (2016: Fig.4)\", diameter=80., hub_height=70.,\n", " powerCtFunction=PowerCtTabular(dat[:, 2], dat[:, 3], 'MW', dat[:, 1]), method='pchip')\n", "# Fig. 2 provides a fit for power but not CT, so we take the CT from Fig. 4\n", "# but need to add another value at 4 m/s, which is simply set to the CT at 5 m/s\n", "ws = np.hstack((np.array([3.9, 4.0]), dat[1:, 2]))\n", "ct = np.hstack((np.array([0.0, dat[1, 1]]), dat[1:, 1]))\n", "power = (0.17819 * ws**5 - 6.5198 * ws**4 + 90.623 * ws**3 - 574.62 * ws**2 + 1727.2 * ws - 1975)\n", "power[power > 2000.] = 2000.\n", "power[ws < 4] = 0.0\n", "power[ws > 20] = 0.0\n", "v80_2016_fig2 = WindTurbine(name=\"V80 (2016: Fig.2)\", diameter=80., hub_height=70.,\n", " powerCtFunction=PowerCtTabular(ws, power, 'kW', ct), method='pchip')" ] }, { "cell_type": "code", "execution_count": 9, "id": "560efbe6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from py_wake.utils.plotting import setup_plot\n", "\n", "ws = np.linspace(0, 30, 121)\n", "\n", "fig, ax = plt.subplots(2, 1, sharex=True)\n", "plt.figure()\n", "ax[0].plot(ws, v80_pw.ct(ws), '-', label='PyWake')\n", "ax[0].plot(ws, v80_2016_fig4.ct(ws), '-', label='Fig.4 (2016)')\n", "ax[0].plot(ws, v80_2016_fig2.ct(ws), '-', label='Fig.2 (2016)')\n", "ax[0].grid(lw=0.5, alpha=0.3)\n", "ax[0].set_ylabel('Thrust coefficient [-]')\n", "\n", "ax[1].plot(ws, v80_pw.power(ws) / 1.e6, '-', label='V80 PyWake')\n", "ax[1].plot(ws, v80_2016_fig4.power(ws) / 1.e6, '-', label='Fig.4 (2016)')\n", "ax[1].plot(ws, v80_2016_fig2.power(ws) / 1.e6, '-', label='Fig.2 (2016)')\n", "ax[1].grid(lw=0.5, alpha=0.3)\n", "ax[1].set_ylabel('Power [MW]')\n", "ax[1].set_xlabel('Wind speed [m/s]')\n", "fig.suptitle('Vestas V-80')\n", "ax[1].legend()" ] }, { "cell_type": "markdown", "id": "16393010", "metadata": {}, "source": [ "In the following plot we recreate Fig. 2 but adding the power curves from PyWake and Fig. 4 to show the difference between them. For some reason the power is lower in Fig. 2." ] }, { "cell_type": "code", "execution_count": 10, "id": "a0ebea19", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Wind speed [m/s]')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws = np.linspace(4, 10, 121)\n", "plt.figure()\n", "plt.plot(ws, v80_pw.power(ws) / 1.e3, '-', label='V80 PyWake')\n", "plt.plot(ws, v80_2016_fig4.power(ws) / 1.e3, '-', label='V80 Fig.4 (2016)')\n", "plt.plot(ws, v80_2016_fig2.power(ws) / 1.e3, '-', label='V80 Fig.2 (2016)')\n", "plt.legend()\n", "plt.grid(lw=0.5, alpha=0.3)\n", "plt.ylabel('Power [kW]')\n", "plt.xlabel('Wind speed [m/s]')" ] }, { "cell_type": "markdown", "id": "e6a0b89c", "metadata": {}, "source": [ "### Wind farm model\n", "\n", "The wind farm model uses the Gaussian wake model together with linear wake deficit summation and a wake expansion factor that respionds to the local inflow turbulence intensity (TI). The added TI is computed using the model by Crespo and Hernandez (1996) with slightly modified constants. The square of the local TI is defined as the sum of the ambient TI and the maximum weighted (by wake-rotor overleap area) added TI. " ] }, { "cell_type": "code", "execution_count": 11, "id": "753eb922", "metadata": {}, "outputs": [], "source": [ "from py_wake.literature.gaussian_models import Niayifar_PorteAgel_2016" ] }, { "cell_type": "markdown", "id": "c9d0ff42", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "markdown", "id": "c7b4cb59", "metadata": {}, "source": [ "**Case definition**" ] }, { "cell_type": "code", "execution_count": 12, "id": "a2e8ee1f", "metadata": {}, "outputs": [], "source": [ "# hub height wind speed\n", "ws = 8.0\n", "# ambient turbulence intensity\n", "ti = 0.077\n", "# wind directions\n", "wd = np.arange(173., 354., 1.)" ] }, { "cell_type": "markdown", "id": "0d99d689", "metadata": {}, "source": [ "**PyWake Simulation**\n", "\n", "The paper does not cearly state how the rotor reference velocity is computed (used to scale the deficit and look-up the thrust and power). So here we try both, the PyWake default, which is the `RotorCenter()` method, and the `GaussianOverlapAvgModel()` (set as default in the literature model, but set here explicitly for clarity), which averages velocities over the rotor disc. This will also demonstrate how the rotor-averaging can influence your results. Furthermore, we test the different definitions of the Vestas V-80 given in the paper. " ] }, { "cell_type": "code", "execution_count": 13, "id": "3403dfe9", "metadata": {}, "outputs": [], "source": [ "from py_wake.rotor_avg_models import RotorCenter\n", "from py_wake.rotor_avg_models.gaussian_overlap_model import GaussianOverlapAvgModel\n", "\n", "# instantiate wind farm model\n", "wfm_rc = Niayifar_PorteAgel_2016(site, v80_2016_fig4, rotorAvgModel=RotorCenter())\n", "wfm_ga = Niayifar_PorteAgel_2016(site, v80_2016_fig4, rotorAvgModel=GaussianOverlapAvgModel())\n", "wfm_ga_fig2 = Niayifar_PorteAgel_2016(site, v80_2016_fig2, rotorAvgModel=GaussianOverlapAvgModel())\n", "# run simulation\n", "sim_rc = wfm_rc(wt_x, wt_y, TI=ti, ws=ws, wd=wd)\n", "sim_ga = wfm_ga(wt_x, wt_y, TI=ti, ws=ws, wd=wd)\n", "sim_ga_fig2 = wfm_ga_fig2(wt_x, wt_y, TI=ti, ws=ws, wd=wd)" ] }, { "cell_type": "markdown", "id": "99e86b69", "metadata": {}, "source": [ "**Reproduction of Fig. 5**\n", "\n", "This figure compares the wind farm efficieny predicted by LES simulations and the Gaussian wind farm model at a single wind speed. " ] }, { "cell_type": "markdown", "id": "be5f29be", "metadata": {}, "source": [ "Load reference data" ] }, { "cell_type": "code", "execution_count": 14, "id": "e4bf9fe5", "metadata": {}, "outputs": [], "source": [ "# load reference data extracted manually from Fig.5 of the paper\n", "dat = np.genfromtxt(os.path.join('data', 'Gaussian', 'Niayifar_PorteAgel_2016_Fig5.csv'),\n", " skip_header=2, delimiter=',')\n", "ref_fig5 = {}\n", "ref_fig5['LES'] = dat[:, :2]\n", "ref_fig5['model'] = dat[:, 2:]" ] }, { "cell_type": "markdown", "id": "fda0bdbd", "metadata": {}, "source": [ "Plotting" ] }, { "cell_type": "code", "execution_count": 15, "id": "6d3e3ab7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(ref_fig5['LES'][:, 0], ref_fig5['LES'][:, 1], 'ro-', label='LES (2016)')\n", "plt.plot(ref_fig5['model'][:, 0], ref_fig5['model'][:, 1], 'b-', label='Model (2016)')\n", "plt.plot(wd, sim_rc.Power.sum(axis=0)[:, 0] / (len(wt_x) * v80_2016_fig4.power(ws=ws)), 'k--', label='PyWake | WT Fig 4. | RotorCentre')\n", "plt.plot(wd, sim_ga.Power.sum(axis=0)[:, 0] / (len(wt_x) * v80_2016_fig4.power(ws=ws)), 'c--', label='PyWake | WT Fig 4. | GaussianAvg')\n", "plt.plot(wd, sim_ga_fig2.Power.sum(axis=0)[:, 0] / (len(wt_x) * v80_2016_fig2.power(ws=ws)), 'm:', label='PyWake | WT Fig 2. | GaussianAvg')\n", "plt.axis([160, 360, 0.4, 1.0])\n", "plt.xlabel('Wind direction [deg]')\n", "plt.ylabel('Wind farm efficiency [-]')\n", "plt.title('Horns Rev 1 | $U_{hub}=8$ m/s | $I_{\\infty}=7.7$%')\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "745f36c6", "metadata": {}, "source": [ "The agreement is nearly perfect. Interestingly using the `GaussianOverlapAvgModel()` the results are closer to the LES predictions when the turbine rows are aligning ie. in situations of full-wake." ] }, { "cell_type": "markdown", "id": "98bea79b", "metadata": {}, "source": [ "**Reproduction Fig. 6**\n", "\n", "This figure compares the power production evolution along a row of turbines for a wind direction of 270 degrees, constiuting a full-wake situation. " ] }, { "cell_type": "markdown", "id": "9e75c566", "metadata": {}, "source": [ "Load reference data" ] }, { "cell_type": "code", "execution_count": 16, "id": "8ac2a947", "metadata": {}, "outputs": [], "source": [ "# load reference data extracted manually from Fig.5 of the paper\n", "dat = np.genfromtxt(os.path.join('data', 'Gaussian', 'Niayifar_PorteAgel_2016_Fig6.csv'),\n", " skip_header=2, delimiter=',')\n", "ref_fig6 = {}\n", "ref_fig6['model'] = dat[:, :2]\n", "ref_fig6['LES'] = dat[:, 2:]" ] }, { "cell_type": "markdown", "id": "15b12837", "metadata": {}, "source": [ "The turbine numbering is different in the paper than in PyWake, but they mention that they average over columns 2, 3 and 4 (a column in the paper refers to turbine row spanning from east to west, with the southernmost being column 1). The following plot shows the turbine rows to be selected for the plot. " ] }, { "cell_type": "code", "execution_count": 17, "id": "bae59db9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(wt_x, wt_y, 'o', label='Horns Rev 1')\n", "for i in range(3):\n", " plt.plot(wt_x[8 - (i + 2)::8], wt_y[8 - (i + 2)::8], '-', label='column {}'.format(i + 1))\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "leg = plt.legend()" ] }, { "cell_type": "markdown", "id": "a10cac5e", "metadata": {}, "source": [ "Plot Fig. 6" ] }, { "cell_type": "code", "execution_count": 18, "id": "ddbeb7ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "iwt = np.linspace(1, 10, 10)\n", "plt.plot(iwt, ref_fig6['LES'][:, 1], 'ro-', label='LES (2016)')\n", "plt.plot(iwt, ref_fig6['model'][:, 1], 'bv-', label='Model (2016)')\n", "\n", "# select wind direction 270 degrees\n", "iwd = 97\n", "# select columns\n", "pp = np.zeros((3, 10, 3))\n", "for i in range(pp.shape[0]):\n", " pp[i, :, 0] = sim_rc.Power.values[8 - (i + 2)::8, iwd, 0]\n", " pp[i, :, 1] = sim_ga.Power.values[8 - (i + 2)::8, iwd, 0]\n", " pp[i, :, 2] = sim_ga_fig2.Power.values[8 - (i + 2)::8, iwd, 0]\n", "# average over columns\n", "pp_avg = np.mean(pp, axis=0)\n", "# plot results\n", "plt.plot(iwt, pp_avg[:, 0] / pp_avg[0, 0], 'k.--', label='PyWake | WT Fig 4. | RotorCenter')\n", "plt.plot(iwt, pp_avg[:, 1] / pp_avg[0, 1], 'c.--', label='PyWake | WT Fig 4. | GaussianAvg')\n", "plt.plot(iwt, pp_avg[:, 2] / pp_avg[0, 2], 'm.--', label='PyWake | WT Fig 2. | GaussianAvg')\n", "\n", "plt.xlabel('Turbine number [-]')\n", "plt.ylabel('Normalised power [-]')\n", "plt.title('Horns Rev 1 | $U_{hub}=8$ m/s | $I_{\\infty}=7.7$% | Cols. 2-4 | ' + '{:.0f} deg'.format(sim_ga.wd.values[iwd]))\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "57125d87", "metadata": {}, "source": [ "Following some detective work, it seems that some sort of rotor-averaging was indeed used by the authors, as indicated by the PyWake curves with `GaussianOverlapAvgModel()` having similar shapes. The slight offset between PyWake and the results from the paper might be due to differences in the thrust curve, specific rotor-averaging method used or related to the manual extraction of the data from the figure. " ] }, { "cell_type": "markdown", "id": "cad74ade", "metadata": {}, "source": [ "## Carbajo Fuertes et al. (2018)\n", "\n", "This section presents our implementation of the modifications presented in\n", "\n", "Carbajo Fuertes, F., Markfort, C. D., & Porté-Agel, F.: _Wind turbine wake characterization with nacelle-mounted wind lidars for analytical wake model validation_, Remote Sensing, 10(5), 668, (2018), https://doi.org/10.3390/rs10050668\n", "\n", "to the Gaussian model by Niayifar et al. (2016). In this paper they use wind lidar measurements taken in the wake of a 2.5MW turbine to retune the expression for the wake width, $\\sigma$, in the Gaussian model. An important change is that the initial wake width, $\\epsilon$, becomes a function of the wake expansion rate, $k$, and thereby becomes dependant on turbulence intensity. " ] }, { "cell_type": "markdown", "id": "ef6ca1f0", "metadata": {}, "source": [ "### Comparison \n", "\n", "To show the impact of the modification we rerun the Horns Rev 1 case used by Niayifar and PorteAgel (2016)." ] }, { "cell_type": "code", "execution_count": 19, "id": "5015dc4e", "metadata": {}, "outputs": [], "source": [ "from py_wake.literature.gaussian_models import CarbajoFuertes_etal_2018\n", "\n", "# instantiate\n", "wfm_16 = Niayifar_PorteAgel_2016(site, v80_2016_fig2)\n", "wfm_18 = CarbajoFuertes_etal_2018(site, v80_2016_fig2)\n", "\n", "# run simulation\n", "sim_16 = wfm_16(wt_x, wt_y, TI=ti, ws=ws, wd=wd)\n", "sim_18 = wfm_18(wt_x, wt_y, TI=ti, ws=ws, wd=wd)" ] }, { "cell_type": "markdown", "id": "0f0643ed", "metadata": {}, "source": [ "Wind farm efficiency" ] }, { "cell_type": "code", "execution_count": 20, "id": "d6fcf8af", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(ref_fig5['LES'][:, 0], ref_fig5['LES'][:, 1], 'ro-', label='LES (2016)')\n", "plt.plot(wd, sim_16.Power.sum(axis=0)[:, 0] / (len(wt_x) * v80_2016_fig2.power(ws=ws)), 'b-', label='Niayifar_PorteAgel_2016')\n", "plt.plot(wd, sim_18.Power.sum(axis=0)[:, 0] / (len(wt_x) * v80_2016_fig2.power(ws=ws)), 'g-', label='CarbajoFuertes_etal_2018')\n", "plt.axis([160, 360, 0.4, 1.0])\n", "plt.xlabel('Wind direction [deg]')\n", "plt.ylabel('Wind farm efficiency [-]')\n", "plt.title('Horns Rev 1 | $U_{hub}=8$ m/s | $I_{\\infty}=7.7$%')\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "e1495982", "metadata": {}, "source": [ "Power variation" ] }, { "cell_type": "code", "execution_count": 21, "id": "38d0e0fe", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "iwt = np.linspace(1, 10, 10)\n", "plt.plot(iwt, ref_fig6['LES'][:, 1], 'ro-', label='LES (2016)')\n", "\n", "# select wind direction 270 degrees\n", "iwd = 97\n", "# select columns\n", "pp = np.zeros((3, 10, 3))\n", "for i in range(pp.shape[0]):\n", " pp[i, :, 0] = sim_16.Power.values[8 - (i + 2)::8, iwd, 0]\n", " pp[i, :, 1] = sim_18.Power.values[8 - (i + 2)::8, iwd, 0]\n", "# average over columns\n", "pp_avg = np.mean(pp, axis=0)\n", "# plot results\n", "plt.plot(iwt, pp_avg[:, 0] / pp_avg[0, 0], 'b.-', label='Niayifar_PorteAgel_2016')\n", "plt.plot(iwt, pp_avg[:, 1] / pp_avg[0, 1], 'g.-', label='CarbajoFuertes_etal_2018')\n", "\n", "plt.xlabel('Turbine number [-]')\n", "plt.ylabel('Normalised power [-]')\n", "plt.title('Horns Rev 1 | $U_{hub}=8$ m/s | $I_{\\infty}=7.7$% | Cols. 2-4 | ' + '{:.0f} deg'.format(sim_16.wd.values[iwd]))\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "f62b9431", "metadata": {}, "source": [ "For aligned, deep-wake situations the updates to the model seem to overpredict losses, yet in any other situation it provides efficiency estimates close to the LES simulations." ] }, { "cell_type": "markdown", "id": "74b7e3cc", "metadata": {}, "source": [ "## Zong and Porté-Agel (2020)\n", "\n", "This section reproduces results from \n", "\n", "Zong H. and Porté-Agel F.: _A momentum-conserving wake superposition\n", "method for wind farm power prediction_, J. Fluid Mech., 889, A8, (2020), https://doi.org/10.1017/jfm.2020.77\n", "\n", "The main focus of this paper is a momentum-conserving wake superposition model, however it also presents yet another version of a Gaussian model. Indeed without modifying the near-wake behaviour of the original Guassian model, the superposition model leads to bizarre results in the near-wake region. \n", "\n", "Extension of the Niayifar et al. (2016) implementation with adapted\n", "Shapiro wake model components, namely a gradual growth of the thrust\n", "force and an expansion factor not falling below the rotor diameter.\n", "Shapiro modelled the pressure and thrust force as a combined momentum\n", "source, that are distributed in the streamwise direction with a Gaussian\n", "kernel with a certain characteristic length. As a result the induction\n", "changes following an error function. Zong chose to use a characteristic\n", "length of $D/\\sqrt{2}$ and applies it directly to the thrust not the induction\n", "as Shapiro. This leads to the full thrust being active only $2D$ downstream of\n", "the turbine. Zong's wake width expression is inspired by Shapiro's, however\n", "the start of the linear wake expansion region (far-wake) was related to\n", "the near-wake length by Vermeulen (1980). The initial wake width, $\\epsilon$, in the\n", "original Gaussian model was taken to be a function of $C_T$ is now a constant\n", "as proposed by Bastankhah et al. (2016), as the near-wake length now effectively\n", "dictates the origin of the far-wake." ] }, { "cell_type": "markdown", "id": "1244b0c6", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "markdown", "id": "305c2ecf", "metadata": {}, "source": [ "**Fig. 3 reproduction**\n", "\n", "This reproduces the results from a wind tunnel measurement campaign with four aligned miniature wind turbines." ] }, { "cell_type": "markdown", "id": "f86f1735", "metadata": {}, "source": [ "Case definitions" ] }, { "cell_type": "code", "execution_count": 22, "id": "05cc6340", "metadata": {}, "outputs": [], "source": [ "# hub height wind speed\n", "ws = 4.9\n", "# rotor diameter\n", "d = .15\n", "# rotor hub height\n", "zh = 0.125\n", "# rotor thrust coefficient\n", "ct = 0.82\n", "# turbulence intensity\n", "ti = 0.06\n", "# turbine tip speed ratio needed in near-wake length computation (personal communication)\n", "lam = 3.8" ] }, { "cell_type": "markdown", "id": "9311d71e", "metadata": {}, "source": [ "Instantiate site and wind turbine" ] }, { "cell_type": "code", "execution_count": 23, "id": "44741417", "metadata": {}, "outputs": [], "source": [ "# define wind turbine and site\n", "wt = Dummy(ct=ct, d=d, zh=zh)\n", "site = BastankhahSite(ws=ws, ti=ti)\n", "\n", "# turbine positions\n", "wt_y = [0., 0., 0., 0.]\n", "wt_x = [0., 5. * d, 10. * d, 15. * d]" ] }, { "cell_type": "markdown", "id": "86f48ab8", "metadata": {}, "source": [ "As in the paper we will run PyWake with different superposition models. Note how both `effective_ws` and `effective_ti` need to be set to `False` to reproduce what Zong et al. refer to as the one by Katic et al. or Method B in their paper. By default the superposition method by Zong is used, which in PyWake is called `WeightedSum()`, as it weights deficits using the convection velocity ratio." ] }, { "cell_type": "code", "execution_count": 28, "id": "7e611947", "metadata": {}, "outputs": [], "source": [ "from py_wake.literature.gaussian_models import Zong_PorteAgel_2020\n", "from py_wake.superposition_models import LinearSum, SquaredSum\n", "from py_wake.flow_map import Points\n", "from py_wake.rotor_avg_models import CGIRotorAvg\n", "\n", "wfm_names = ['SquaredSum', 'LinearSum', 'WeightedSum']\n", "\n", "wfms = [Zong_PorteAgel_2020(site, wt, lam=lam,\n", " superpositionModel=SquaredSum(),\n", " rotorAvgModel=GaussianOverlapAvgModel(),\n", " use_effective_ws=False, use_effective_ti=False),\n", " Zong_PorteAgel_2020(site, wt, lam=lam,\n", " superpositionModel=LinearSum(),\n", " rotorAvgModel=GaussianOverlapAvgModel()),\n", " Zong_PorteAgel_2020(site, wt, lam=lam,\n", " rotorAvgModel=CGIRotorAvg(21))]" ] }, { "cell_type": "markdown", "id": "af235b49", "metadata": {}, "source": [ "Load reference data, provided by the authors" ] }, { "cell_type": "code", "execution_count": 29, "id": "aa060ff3", "metadata": {}, "outputs": [], "source": [ "# load reference data extracted manually from Fig.5 of the paper\n", "ref_fig3 = np.genfromtxt(os.path.join('data', 'Gaussian', 'Zong_PorteAgel_2020_Fig3.csv'),\n", " skip_header=1, delimiter=',')" ] }, { "cell_type": "code", "execution_count": 30, "id": "89fd1953", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure()\n", "\n", "# Reference data\n", "plt.plot(ref_fig3[:, 0], ref_fig3[:, 2], 'g-', label='SquaredSum (2020: MB)')\n", "plt.plot(ref_fig3[:, 0], ref_fig3[:, 3], 'm-', label='LinearSum (2020: MD)')\n", "plt.plot(ref_fig3[:, 0], ref_fig3[:, 5], 'b-', label='WeightedSum (2020: NM)')\n", "plt.plot(ref_fig3[:, 0], ref_fig3[:, 6], 'k-', label='PIV (2020)')\n", "\n", "# PyWake\n", "x = np.linspace(0, 15, 5 * 15 + 1) * d\n", "lcs = ['g', 'm', 'b']\n", "for wfm, wfm_name, lc in zip(wfms, wfm_names, lcs):\n", " sim = wfm(wt_x, wt_y, ws=ws, wd=270., TI=ti)\n", " u = np.squeeze(sim.flow_map(Points(x=x, y=np.zeros_like(x), h=zh * np.ones_like(x))).WS_eff.values)\n", " plt.plot(x / d, u / ws, lc + '.', label='PyWake | ' + wfm_name)\n", "\n", "plt.title('EPFL Wind Tunnel | $U_{hub}=4.9$ m/s | $I_{\\infty}=' + '{:.0f}$%'.format(ti * 1.e2))\n", "plt.grid('on', lw=0.5, alpha=0.5)\n", "plt.axis([0., 15., 0., 1.0])\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "8d315b05", "metadata": {}, "source": [ "The Zong wake deficit is correctly implemented as demonstrated by near-perfect match in the wake of the first turbine. The wake growth seems a little slower, but without knowing the exact expression used for the near-wake length (here we use the one presented by Niayifar et al. (2016) in Eq.(11)) it is difficult to get exactly the same (one can increase $I_{\\infty}$ ever so slightly and they will line-up). After the second turbine there are slight differences between the classic superposition models, most likely due differences in the rotor-averaging method (not disclosed in the paper). " ] }, { "cell_type": "markdown", "id": "d7cf27c4", "metadata": {}, "source": [] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }