def ainsliefull_1angle(layout_x, layout_y, wind_speed, angle, rotor_radius, TI):
layout_xD = []
layout_yD = []
D = 2.0 * rotor_radius # Diameter
for x in range(len(layout_x)):
layout_xD.append(layout_x[x] / D)
for x in range(len(layout_y)):
layout_yD.append(layout_y[x] / D)
nt = len(layout_y)
U0 = wind_speed # Free stream wind speed
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for _ in range(nt)] for _ in range(nt)]
distance = [[0.0 for _ in range(2)] for _ in range(nt)]
total_deficit = [0.0 for _ in range(nt)]
U = [U0 for _ in range(nt)]
U = U
TI *= 100.0
for tur in range(nt):
distance[tur] = [distance_to_front(layout_xD[tur], layout_yD[tur], angle), tur]
distance.sort()
for turbine in range(nt):
for num in range(turbine):
total_deficit[distance[turbine][1]] += wake_deficit_matrix[distance[turbine][1]][
distance[num][1]] ** 2.0
total_deficit[distance[turbine][1]] = sqrt(total_deficit[distance[turbine][1]])
U[distance[turbine][1]] = U0 * (1.0 - total_deficit[distance[turbine][1]])
parallel_distance = [0.0 for _ in range(nt)]
perpendicular_distance = [0.0 for _ in range(nt)]
for i in range(turbine + 1, nt):
parallel_distance[distance[i][1]] = determine_front(angle3, layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]],
layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
perpendicular_distance[distance[i][1]] = wake.crosswind_distance(radians(angle3),
layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]],
layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
if perpendicular_distance[distance[i][1]] <= 2.0 and parallel_distance[
distance[i][1]] > 0.0: ## 1.7 gives same results as a bigger distance, many times faster.
wake_deficit_matrix[distance[i][1]][distance[turbine][1]] = ainslie_full(
Ct(U[distance[turbine][1]]), U[distance[turbine][1]],
parallel_distance[distance[i][1]], perpendicular_distance[distance[i][1]], TI)
else:
wake_deficit_matrix[distance[i][1]][distance[turbine][1]] = 0.0
# print angle, sum([power(U[i]) for i in range(len(U))])
return U
def solve_nonlinear(self, params, unknowns, resids):
D = 2.0 * params['rotor_radius'] # Diameter
layout_x = params['layout_x']
layout_y = params['layout_y']
layout_xD = array(layout_x) / D
layout_yD = array(layout_y) / D
U0 = params['mean_ambient_wind_speed'] # Free stream wind speed
angle = params['wind_direction']
nt = num_turb
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for _ in range(nt)] for _ in range(nt)]
distance = [[0.0 for _ in range(2)] for _ in range(nt)]
total_deficit = [0.0 for _ in range(nt)]
U = [U0 for _ in range(nt)]
for tur in range(nt):
distance[tur] = [distance_to_front(layout_xD[tur], layout_yD[tur], angle), tur]
distance.sort()
for turbine in range(nt):
for num in range(turbine):
total_deficit[distance[turbine][1]] += wake_deficit_matrix[distance[turbine][1]][
distance[num][1]] ** 2.0
total_deficit[distance[turbine][1]] = sqrt(total_deficit[distance[turbine][1]])
U[distance[turbine][1]] = U0 * (1.0 - total_deficit[distance[turbine][1]])
parallel_distance = [0.0 for _ in range(nt)]
perpendicular_distance = [0.0 for _ in range(nt)]
for i in range(turbine + 1, nt):
parallel_distance[distance[i][1]] = determine_front(angle3, layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]],
layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
perpendicular_distance[distance[i][1]] = wake.crosswind_distance(radians(angle3),
layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]],
layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
if perpendicular_distance[distance[i][1]] <= 1.7 and parallel_distance[
distance[i][1]] > 0.0: ## 1.7 gives same results as a bigger distance, many times faster.
wake_deficit_matrix[distance[i][1]][distance[turbine][1]] = ainslie(
Ct(U[distance[turbine][1]]), U[distance[turbine][1]],
parallel_distance[distance[i][1]], perpendicular_distance[distance[i][1]], params['TI'])
else:
wake_deficit_matrix[distance[i][1]][distance[turbine][1]] = 0.0
unknowns['U'] = array(U)
def ainslie_1angle(layout_x, layout_y, wind_speed, angle, rotor_radius, TI):
layout_xD = []
layout_yD = []
D = 2.0 * rotor_radius # Diameter
for x in range(len(layout_x)):
layout_xD.append(layout_x[x] / D)
for x in range(len(layout_y)):
layout_yD.append(layout_y[x] / D)
nt = len(layout_y)
U0 = wind_speed # Free stream wind speed
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for _ in range(nt)] for _ in range(nt)]
distance = [[0.0 for _ in range(2)] for _ in range(nt)]
total_deficit = [0.0 for _ in range(nt)]
U = [U0 for _ in range(nt)]
U = U
TI *= 100.0
for tur in range(nt):
distance[tur] = [
distance_to_front(layout_xD[tur], layout_yD[tur], angle), tur
]
distance.sort()
for turbine in range(nt):
for num in range(turbine):
total_deficit[distance[turbine][1]] += wake_deficit_matrix[
distance[turbine][1]][distance[num][1]]**2.0
total_deficit[distance[turbine][1]] = sqrt(
total_deficit[distance[turbine][1]])
U[distance[turbine][1]] = U0 * (1.0 -
total_deficit[distance[turbine][1]])
parallel_distance = [0.0 for _ in range(nt)]
perpendicular_distance = [0.0 for _ in range(nt)]
for i in range(turbine + 1, nt):
parallel_distance[distance[i][1]] = determine_front(
angle3, layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]], layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
perpendicular_distance[distance[i][1]] = wake.crosswind_distance(
radians(angle3), layout_xD[distance[turbine][1]],
layout_yD[distance[turbine][1]], layout_xD[distance[i][1]],
layout_yD[distance[i][1]])
if perpendicular_distance[
distance[i]
[1]] <= 1.7 and parallel_distance[distance[i][
1]] > 0.0: ## 1.7 gives same results as a bigger distance, many times faster.
wake_deficit_matrix[distance[i][1]][
distance[turbine][1]] = ainslie(
Ct(U[distance[turbine][1]]), U[distance[turbine][1]],
parallel_distance[distance[i][1]],
perpendicular_distance[distance[i][1]], TI)
else:
wake_deficit_matrix[distance[i][1]][distance[turbine][1]] = 0.0
return U