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import numpy as np
from numpy import newaxis as na
from py_wake.tests import npt
from py_wake.site.distance import StraightDistance, TerrainFollowingDistance, TerrainFollowingDistance2
from py_wake.site._site import UniformSite
import pytest
from py_wake.examples.data.iea37._iea37 import IEA37_WindTurbines
from py_wake.wake_models.noj import NOJ
from py_wake.aep_calculator import AEPCalculator
from py_wake.examples.data.ParqueFicticio.parque_ficticio import ParqueFicticioSite
class FlatTerrainFollowingDistance(UniformSite, TerrainFollowingDistance):
def __init__(self):
UniformSite.__init__(self, p_wd=[1], ti=.075)
class HalfCylinder(TerrainFollowingDistance, UniformSite):
def __init__(self, height, distance_resolution):
self.height = height
super().__init__(distance_resolution=distance_resolution, p_wd=[1], ti=0)
# TerrainFollowingDistance.__init__(self, )
def elevation(self, x_i, y_i):
return np.sqrt(np.maximum(self.height**2 - x_i**2, 0))
class Rectangle(TerrainFollowingDistance, UniformSite):
def __init__(self, height, width, distance_resolution):
self.height = height
self.width = width
super().__init__(distance_resolution=distance_resolution, p_wd=[1], ti=0)
# TerrainFollowingDistance.__init__(self, )
def elevation(self, x_i, y_i):
return np.where(np.abs(x_i) < self.width / 2, self.height, 0)
def ParqueFicticioSiteTerrainFollowingDistance2():
site = ParqueFicticioSite(distance=TerrainFollowingDistance2())
x, y = site.initial_position.T
return site, x, y
@pytest.mark.parametrize('Distance', [StraightDistance(),
FlatTerrainFollowingDistance()])
def test_flat_distances(Distance):
x = [0, 50, 100, 100]
y = [100, 100, 100, 0]
h = [0, 10, 20, 30]
wdirs = [0, 30, 90]
distances = Distance.distances
dw_ijl, hcw_ijl, dh_ijl, dw_indices_l = distances(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=[0], dst_y_j=[0], dst_h_j=[0],
wd_il=np.array(wdirs)[na])
if 0:
Distance.plot(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=[0], dst_y_j=[0], dst_h_j=[0],
wd_il=np.array(wdirs)[na])
npt.assert_array_almost_equal(dw_ijl, [[[100, 86.6025404, 0]],
[[100, 111.602540, 50]],
[[100, 136.602540, 100]],
[[0, 50, 100]]])
npt.assert_array_almost_equal(hcw_ijl, [[[0, 50, 100]],
[[-50, 6.69872981, 100]],
[[-100, -36.6025404, 100]],
[[-100, -86.6025404, 0]]])
npt.assert_array_almost_equal(dh_ijl, [[[0, 0, 0]],
[[-10, -10, -10]],
[[-20, -20, -20]],
[[-30, -30, -30]]])
npt.assert_array_equal(dw_indices_l, [[2, 1, 0, 3],
[2, 1, 0, 3],
[2, 3, 1, 0]])
@pytest.mark.parametrize('Distance', [ # StraightDistance(),
FlatTerrainFollowingDistance()])
def test_flat_distances_wt2wt(Distance):
x = [0, 50, 100]
y = [100, 100, 0]
h = [0, 10, 20]
wdirs = [0, 30]
distances = Distance.distances
dw_ijl, hcw_ijl, dh_ijl, dw_indices_l = distances(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=x, dst_y_j=y, dst_h_j=[1, 2, 3],
wd_il=np.array(wdirs)[na])
if 0:
Distance.plot(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=x, dst_y_j=y, dst_h_j=[1, 2, 3],
wd_ijl=np.array(wdirs)[na, na])
# check down wind distance wind from North and 30 deg
npt.assert_array_almost_equal(dw_ijl[:, :, 0], [[0, 0, 100],
[0, 0, 100],
[-100, -100, 0]])
npt.assert_array_almost_equal(dw_ijl[:, :, 1], [[0, -25, 36.60254038],
[25, 0, 61.60254038],
[-36.60254038, -61.60254038, 0]])
# check cross wind distance wind from North and 30 deg
npt.assert_array_almost_equal(hcw_ijl[:, :, 0], [[0, 50, 100],
[-50, 0, 50],
[-100, -50, 0]])
npt.assert_array_almost_equal(hcw_ijl[:, :, 1], [[0, 43.30127019, 136.60254038],
[-43.30127019, 0., 93.30127019],
[-136.60254038, -93.30127019, 0.]])
# check cross wind distance wind from North
npt.assert_array_almost_equal(dh_ijl[:, :, 0], [[1, 2, 3],
[-9, -8, -7],
[-19, -18, -17]])
# check dw indices
npt.assert_array_equal(dw_indices_l, [[1, 0, 2],
[1, 0, 2]])
def test_iea37_distances():
from py_wake.examples.data.iea37 import IEA37Site
n_wt = 16 # must be 9, 16, 36, 64
site = IEA37Site(n_wt)
x, y = site.initial_position.T
WD_ilk, _, _, _ = site.local_wind(x_i=x, y_i=y,
wd=site.default_wd,
ws=site.default_ws)
dw_iil, hcw_iil, _, _ = site.wt2wt_distances(
x_i=x, y_i=y,
h_i=np.zeros_like(x),
wd_il=WD_ilk.mean(2))
# Wind direction.
wdir = np.rad2deg(np.arctan2(hcw_iil, dw_iil))
npt.assert_allclose(
wdir[:, 0, 0],
[180, -90, -18, 54, 126, -162, -90, -54, -18, 18, 54, 90, 126, 162, -162, -126],
atol=1e-4)
if 0:
import matplotlib.pyplot as plt
_, ax = plt.subplots()
ax.scatter(x, y)
for i, txt in enumerate(np.arange(len(x))):
ax.annotate(txt, (x[i], y[i]), fontsize='large')
def test_terrain_following_half_cylinder():
hc = HalfCylinder(height=100, distance_resolution=100000)
src_x, src_y = np.array([-100, -50, 0]), [0, 0, 0]
dst_x, dst_y = np.array([100, 200, 300, 400]), [0, 0, 0, 0]
x = np.arange(-150, 150)
dw_ijl, hcw_ijl, _, _ = hc.distances(src_x_i=src_x, src_y_i=src_y, src_h_i=src_x * 0,
dst_x_j=dst_x, dst_y_j=dst_y, dst_h_j=dst_x * 0,
wd_il=np.array([0, 90])[na])
if 0:
import matplotlib.pyplot as plt
plt.plot(x, hc.elevation(x_i=x, y_i=x * 0))
plt.plot(src_x, hc.elevation(x_i=src_x, y_i=src_y), '.')
plt.plot(dst_x, dst_y, 'o')
plt.axis('equal')
plt.show()
dist2flat = np.pi * np.array([1, 2 / 3, .5]) * 100
dist2flat = dist2flat[:, na] + (np.arange(4) * 100)
npt.assert_array_almost_equal(dw_ijl[:, :, 1], -dist2flat, 2)
npt.assert_array_almost_equal(hcw_ijl[:, :, 0], [[200., 300., 400., 500.],
[150., 250., 350., 450.],
[100., 200., 300., 400.]], 2)
# down wind distance for 0 deg and cross wind distance for 30 deg ~ 0
npt.assert_array_almost_equal(dw_ijl[:, :, 0], 0)
npt.assert_array_almost_equal(hcw_ijl[:, :, 1], 0)
def test_distance_over_rectangle():
x, y = [-100, 50], [200, -100]
windTurbines = IEA37_WindTurbines()
site = Rectangle(height=200, width=100, distance_resolution=100)
wake_model = NOJ(site, windTurbines)
aep = AEPCalculator(wake_model)
x_j = np.linspace(-100, 500, 100)
y_j = np.linspace(-200, 300, 100)
X, Y, Z = aep.wake_map(x_j, y_j, 110, x, y, wd=[270], ws=[9])
my = np.argmin(np.abs(Y[:, 0] - 200))
my2 = np.argmin(np.abs(Y[:, 0] + 100))
if 0:
import matplotlib.pyplot as plt
c = plt.contourf(X, Y, Z, cmap='Blues_r', levels=100) # , np.arange(2, 10, .01))
plt.colorbar(c)
windTurbines.plot(x, y)
H = site.elevation(X, Y)
plt.plot(X[my], Z[my] * 10, label='wsp*10')
plt.plot(X[my2], Z[my2] * 10, label='wsp*10')
plt.contour(X, Y, H)
plt.plot(X[my, :50:4], Z[my, :50:4] * 10, '.')
plt.plot(x_j, site.elevation(x_j, x_j * 0), label='terrain level')
plt.legend()
plt.show()
ref = [9., 3.42, 3.8, 6.02, 6.17, 6.31, 6.43, 7.29, 7.35, 7.41, 7.47, 7.53, 7.58]
npt.assert_array_almost_equal(Z[my, :50:4], ref, 2)
def test_distance_plot():
x = [0, 50, 100, 100]
y = [100, 100, 100, 0]
h = [0, 10, 20, 30]
wdirs = [0, 30, 90]
Distance = StraightDistance()
distances = Distance.distances
dw_ijl, hcw_ijl, dh_ijl, dw_indices_l = distances(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=[0], dst_y_j=[0], dst_h_j=[0],
wd_il=np.array(wdirs)[na])
Distance.plot(src_x_i=x, src_y_i=y, src_h_i=h, dst_x_j=[0], dst_y_j=[0], dst_h_j=[0],
wd_il=np.array(wdirs)[na])
if 0:
import matplotlib.pyplot as plt
plt.show()
# ======================================================================================================================
# TerrainFollowingDistance2
# ======================================================================================================================
def test_distances_no_turning():
site, x, y = ParqueFicticioSiteTerrainFollowingDistance2()
site.turning = False
site.local_wind(x, y, np.array([70]))
dw_ijl, cw_ijl, dh_ijl, dwo = site.distances(src_x_i=x, src_y_i=y, src_h_i=np.array([70]),
dst_x_j=x, dst_y_j=y, dst_h_j=np.array([70]),
wd_il=np.array([[180]]))
npt.assert_almost_equal(dw_ijl[0, :, 0], np.array([-0., 207.7973259, 484.8129285,
727.1261764, 1039.5612311, 1263.5467003, 1490.7972623, 1841.0639107]))
npt.assert_almost_equal(cw_ijl[:, 1, 0], np.array([236.1, 0., -131.1, -167.8, -204.5, -131.1, -131.1, -45.4]))
npt.assert_almost_equal(dh_ijl, np.zeros_like(dh_ijl))
def test_distances_ri():
site, x, y = ParqueFicticioSiteTerrainFollowingDistance2()
site.calc_all = False
site.r_i = np.ones(len(x)) * 90
dw_ijl, cw_ijl, dh_ijl, _ = site.distances(src_x_i=x, src_y_i=y, src_h_i=np.array([70]),
dst_x_j=x, dst_y_j=y, dst_h_j=np.array([70]),
wd_il=np.array([[180]]))
npt.assert_almost_equal(dw_ijl[0, :, 0], np.array([0., -207., -477., -710., -1016., -1236., -1456., -1799.]))
npt.assert_almost_equal(cw_ijl[:, 1, 0], np.array([-236.1, 0., 131.1, 167.8, 204.5, 131.1, 131.1, 45.4]))
npt.assert_almost_equal(dh_ijl, np.zeros_like(dh_ijl))
def test_distance2_outside_map():
site = ParqueFicticioSiteTerrainFollowingDistance2()[0]
import matplotlib.pyplot as plt
site.plot_map('elev')
x = np.arange(-1500, 1000, 500) + 264777
h = x * 0
y = h + 6505450
dw = site.distances(src_x_i=x, src_y_i=y, src_h_i=h,
dst_x_j=x, dst_y_j=y, dst_h_j=h * 0, wd_il=[270])[0]
plt.plot(x, y, '.-', label='Terrain line')
plt.plot(x, y + site.elevation(x, y))
if 0:
plt.legend()
plt.show()
# distance between points should be >500 m due to terrain, except last point which is outside map
npt.assert_array_equal(np.round(np.diff(dw[0, :, 0])), [527, 520, 506, 500.])