def Ainslie(a, Nt, rad):
import wake
from eddy_viscosity import ainslie
from math import sqrt, log, cos, sin
from numpy import deg2rad
from power_curve5MW import power5MW_kW as power # Power curve 5 MW NREL
windrose = open('horns_rev_windrose.dat', 'r')
def determine_front(wind_angle, x_t1, y_t1, x_t2, y_t2):
wind_angle = deg2rad(wind_angle)
b = (x_t2 - x_t1) * cos(wind_angle) + (y_t2 - y_t1) * sin(wind_angle)
if b > 0.0:
return True, b
else:
return False, 0.0
nt = Nt # Number of turbines
D = 2.0 * rad # Diameter
layout_x = [0.0 for x in range(nt)]
layout_y = [0.0 for x in range(nt)]
for x in range(nt):
layout_x[x] = float(a[x][0] / D)
layout_y[x] = float(a[x][1] / D)
windrose_angle = []
windrose_speed = []
windrose_frequency = []
for line in windrose:
columns = line.split()
windrose_angle.append(float(columns[0]))
windrose_speed.append(float(columns[1]))
windrose_frequency.append(float(columns[2]))
windrose.close()
summation = 0.0
## Power curve 2 MW Siemens
# def power(U0):
# if U0 < 4.0:
# return 0.0
# elif U0 >= 4.0:
# return 19.7907842158 * U0 ** 2.0 - 74.9080669331 * U0 + 37.257967033 # From 4 to 11 m/s
# for wind in range(0, len(windrose_speed)):
for wind in range(0, 1):
U1 = windrose_speed[wind] # Free stream wind speed
U0 = U1 * (90.0 / 10.0) ** 0.11 # Power or log law for wind shear profile
# U0 = U1 * log(70.0 / 0.005) / log(10.0 / 0.005)
angle = windrose_angle[wind]
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
for turbine in range(0, nt):
parallel_distance = [0.0 for x in range(0, nt)]
perpendicular_distance = [0.0 for x in range(0, nt)]
flag = [False for x in range(nt)]
for i in range(nt):
flag[i], parallel_distance[i] = determine_front(angle3, layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i])
perpendicular_distance[i] = wake.crosswind_distance(deg2rad(angle3), layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i])
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if flag[j] is True:
if perpendicular_distance[j] <= 2.5:
wake_deficit_matrix[turbine][j] = ainslie(0.46, U0, parallel_distance[j], perpendicular_distance[j])
else:
wake_deficit_matrix[turbine][j] = 0.0
elif flag[j] is False:
wake_deficit_matrix[turbine][j] = 0.0
total_deficit = [0.0 for x in range(nt)]
total_speed = [0.0 for x in range(nt)]
for j in range(nt):
for i in range(nt):
total_deficit[j] += wake_deficit_matrix[i][j] ** 2.0
total_deficit[j] = sqrt(total_deficit[j])
total_speed[j] = U0 * (1.0 - total_deficit[j])
# Farm efficiency
profit = 0.0
efficiency_proportion = [0.0 for x in range(0, len(windrose_frequency))]
efficiency = 0.0
for l in range(nt):
profit += power(total_speed[l])
efficiency = profit * 100.0 / (nt * power(U0))
efficiency_proportion[wind] = efficiency * windrose_frequency[wind] / 100.0
summation += efficiency_proportion[wind]
return summation
def analysis():
nt = 80 # Number of turbines
D = 80.0 # Diameter
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]) / D)
layout_y.append(float(columns[1]) / D)
windrose_angle = []
windrose_speed = []
windrose_frequency = []
for line in windrose:
columns = line.split()
windrose_angle.append(float(columns[0]))
windrose_speed.append(float(columns[1]))
windrose_frequency.append(float(columns[2]))
layout.close()
windrose.close()
summation = 0.0
def power(U0):
if U0 < 4.0:
return 0.0
elif U0 >= 4.0:
return 19.7907842158 * U0**2.0 - 74.9080669331 * U0 + 37.257967033 # From 4 to 11 m/s
# def Cp(U0):
# return power(U0) / (0.5 * 1.225 * pi * r0**2.0 * U0**3.0)
# for U0 in range(4, 20):
# summation = 0.0
for wind in range(0, len(windrose_speed)):
# for wind in range(0, 1):
# U1 = windrose_speed[wind] # Free stream wind speed
# U0 = U1 * (70.0 / 10.0) ** 0.11 # Power or log law for wind shear profile
# U0 = U1 * log(70.0 / 0.005) / log(10.0 / 0.005)
U0 = 8.5
angle = windrose_angle[wind]
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
for turbine in range(0, nt):
parallel_distance = [0.0 for x in range(0, nt)]
perpendicular_distance = [0.0 for x in range(0, nt)]
flag = [False for x in range(nt)]
for i in range(nt):
flag[i], parallel_distance[i] = determine_front(
angle3, layout_x[turbine], layout_y[turbine], layout_x[i],
layout_y[i])
perpendicular_distance[i] = wake.crosswind_distance(
deg2rad(angle3), layout_x[turbine], layout_y[turbine],
layout_x[i], layout_y[i])
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if flag[j] is True:
if perpendicular_distance[j] <= 2.5:
wake_deficit_matrix[turbine][j] = ainslie(
0.81, U0, parallel_distance[j],
perpendicular_distance[j])
else:
wake_deficit_matrix[turbine][j] = 0.0
elif flag[j] is False:
wake_deficit_matrix[turbine][j] = 0.0
output.write('{0:f}\t'.format(wake_deficit_matrix[j][turbine]))
output.write('\n')
total_deficit = [0.0 for x in range(nt)]
total_speed = [0.0 for x in range(nt)]
for j in range(nt):
for i in range(nt):
total_deficit[j] += wake_deficit_matrix[i][j]**2.0
total_deficit[j] = sqrt(total_deficit[j])
total_speed[j] = U0 * (1.0 - total_deficit[j])
output2.write(
'{0:d}\t{1:.1f}\t{2:.1f}\t{3:f}\t{4:f}\t{5:d}\t{6:f}\n'.format(
j, layout_x[j] * D, layout_y[j] * D, total_deficit[j],
total_speed[j], int(angle), power(total_speed[j])))
output2.write('\n')
turb_data.write('{0:f}\t{1:f}\n'.format(angle, power(total_speed[14])))
# Farm efficiency
profit = 0.0
efficiency_proportion = [
0.0 for x in range(0, len(windrose_frequency))
]
efficiency = 0.0
for l in range(nt):
profit += power(total_speed[l])
efficiency = profit * 100.0 / (nt * power(U0))
efficiency_proportion[
wind] = efficiency * windrose_frequency[wind] / 100.0
print 'Farm efficiency with wind direction = {0:d} deg: {1:2.2f}%'.format(
int(angle), efficiency)
# direction.write('{0:f}\t{1:f}\n'.format(angle, efficiency))
summation += efficiency_proportion[wind]
print 'total farm efficiency is {0:f} %'.format(summation)
# print U0, summation
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
def analysis():
nt = 80 # Number of turbines
D = 80.0 # Diameter
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]) / D)
layout_y.append(float(columns[1]) / D)
windrose_angle = []
windrose_speed = []
windrose_frequency = []
for line in windrose:
columns = line.split()
windrose_angle.append(float(columns[0]))
windrose_speed.append(float(columns[1]))
windrose_frequency.append(float(columns[2]))
layout.close()
windrose.close()
summation = 0.0
def power(U0):
if U0 < 4.0:
return 0.0
elif U0 <= 25.0:
return 0.0003234808 * U0**7.0 - 0.0331940121 * U0**6.0 + 1.3883148012 * U0**5.0 - 30.3162345004 * U0**4.0 + 367.6835557011 * U0**3.0 - 2441.6860655008 * U0**2.0 + 8345.6777042343 * U0 - 11352.9366182805
else:
return 0.0
for wind in range(0, len(windrose_speed)):
# for wind in range(0, 1):
U1 = windrose_speed[wind] # Free stream wind speed
# U0 = U1 * (70.0 / 10.0) ** 0.11 # Power or log law for wind shear profile
# U0 = U1 * log(70.0 / 0.005) / log(10.0 / 0.005)
U0 = 8.5
angle = windrose_angle[wind]
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
for turbine in range(0, nt):
parallel_distance = [0.0 for x in range(0, nt)]
perpendicular_distance = [0.0 for x in range(0, nt)]
flag = [False for x in range(nt)]
for i in range(nt):
flag[i], parallel_distance[i] = determine_front(
angle3, layout_x[turbine], layout_y[turbine], layout_x[i],
layout_y[i])
perpendicular_distance[i] = wake.crosswind_distance(
deg2rad(angle3), layout_x[turbine], layout_y[turbine],
layout_x[i], layout_y[i])
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if flag[j] is True:
if perpendicular_distance[j] <= 1.5:
wake_deficit_matrix[turbine][j] = ainslie(
0.81, U0, parallel_distance[j],
perpendicular_distance[j])
else:
wake_deficit_matrix[turbine][j] = 0.0
elif flag[j] is False:
wake_deficit_matrix[turbine][j] = 0.0
# output.write('{0:f}\t'.format(wake_deficit_matrix[j][turbine]))
# output.write('\n')
total_deficit = [0.0 for x in range(nt)]
total_speed = [0.0 for x in range(nt)]
for j in range(nt):
for i in range(nt):
total_deficit[j] += wake_deficit_matrix[i][j]**2.0
total_deficit[j] = sqrt(total_deficit[j])
total_speed[j] = U0 * (1.0 - total_deficit[j])
turb_data.write('{0:f}\t{1:f}\n'.format(angle, power(total_speed[14])))
# output2.write('{0:d}\t{1:.1f}\t{2:.1f}\t{3:f}\t{4:f}\t{5:d}\t{6:f}\n'.format(j, layout_x[j] * D, layout_y[j] * D, total_deficit[j], total_speed[j], int(angle), power(total_speed[j])))
# output2.write('\n')
# Farm efficiency
profit = 0.0
efficiency_proportion = [
0.0 for x in range(0, len(windrose_frequency))
]
efficiency = 0.0
for l in range(nt):
profit += power(total_speed[l])
efficiency = profit * 100.0 / (nt * power(U0))
efficiency_proportion[
wind] = efficiency * windrose_frequency[wind] / 100.0
direction.write('{0:f}\t{1:f}\n'.format(angle, efficiency))
summation += efficiency_proportion[wind]
print 'total farm efficiency is {0:f} %'.format(summation)
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
def analysis():
nt = 80 # Number of turbines
D = 80.0 # Diameter
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]) / D)
layout_y.append(float(columns[1]) / D)
windrose_angle = []
windrose_speed = []
windrose_frequency = []
for line in windrose:
columns = line.split()
windrose_angle.append(float(columns[0]))
windrose_speed.append(float(columns[1]))
windrose_frequency.append(float(columns[2]))
layout.close()
windrose.close()
summation = 0.0
def power(U0):
if U0 < 4.0:
return 0.0
elif U0 <= 25.0:
return 0.0003234808 * U0 ** 7.0 - 0.0331940121 * U0 ** 6.0 + 1.3883148012 * U0 **5.0 - 30.3162345004 * U0 **4.0 + 367.6835557011 * U0 ** 3.0 - 2441.6860655008 * U0 ** 2.0 + 8345.6777042343 * U0 - 11352.9366182805
else:
return 0.0
for wind in range(0, len(windrose_speed)):
# for wind in range(0, 1):
U1 = windrose_speed[wind] # Free stream wind speed
# U0 = U1 * (70.0 / 10.0) ** 0.11 # Power or log law for wind shear profile
# U0 = U1 * log(70.0 / 0.005) / log(10.0 / 0.005)
U0 = 8.5
angle = windrose_angle[wind]
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
for turbine in range(0, nt):
parallel_distance = [0.0 for x in range(0, nt)]
perpendicular_distance = [0.0 for x in range(0, nt)]
flag = [False for x in range(nt)]
for i in range(nt):
flag[i], parallel_distance[i] = determine_front(angle3, layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i])
perpendicular_distance[i] = wake.crosswind_distance(deg2rad(angle3), layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i])
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if flag[j] is True:
if perpendicular_distance[j] <= 1.5:
wake_deficit_matrix[turbine][j] = ainslie(0.81, U0, parallel_distance[j], perpendicular_distance[j])
else:
wake_deficit_matrix[turbine][j] = 0.0
elif flag[j] is False:
wake_deficit_matrix[turbine][j] = 0.0
# output.write('{0:f}\t'.format(wake_deficit_matrix[j][turbine]))
# output.write('\n')
total_deficit = [0.0 for x in range(nt)]
total_speed = [0.0 for x in range(nt)]
for j in range(nt):
for i in range(nt):
total_deficit[j] += wake_deficit_matrix[i][j] ** 2.0
total_deficit[j] = sqrt(total_deficit[j])
total_speed[j] = U0 * (1.0 - total_deficit[j])
turb_data.write('{0:f}\t{1:f}\n'.format(angle, power(total_speed[14])))
# output2.write('{0:d}\t{1:.1f}\t{2:.1f}\t{3:f}\t{4:f}\t{5:d}\t{6:f}\n'.format(j, layout_x[j] * D, layout_y[j] * D, total_deficit[j], total_speed[j], int(angle), power(total_speed[j])))
# output2.write('\n')
# Farm efficiency
profit = 0.0
efficiency_proportion = [0.0 for x in range(0, len(windrose_frequency))]
efficiency = 0.0
for l in range(nt):
profit += power(total_speed[l])
efficiency = profit * 100.0 / (nt * power(U0))
efficiency_proportion[wind] = efficiency * windrose_frequency[wind] / 100.0
direction.write('{0:f}\t{1:f}\n'.format(angle, efficiency))
summation += efficiency_proportion[wind]
print 'total farm efficiency is {0:f} %'.format(summation)
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
def Ainslie(a, Nt, rad):
import wake
from eddy_viscosity import ainslie
from math import sqrt, log, cos, sin
from numpy import deg2rad
from power_curve5MW import power5MW_kW as power # Power curve 5 MW NREL
windrose = open('horns_rev_windrose.dat', 'r')
def determine_front(wind_angle, x_t1, y_t1, x_t2, y_t2):
wind_angle = deg2rad(wind_angle)
b = (x_t2 - x_t1) * cos(wind_angle) + (y_t2 - y_t1) * sin(wind_angle)
if b > 0.0:
return True, b
else:
return False, 0.0
nt = Nt # Number of turbines
D = 2.0 * rad # Diameter
layout_x = [0.0 for x in range(nt)]
layout_y = [0.0 for x in range(nt)]
for x in range(nt):
layout_x[x] = float(a[x][0] / D)
layout_y[x] = float(a[x][1] / D)
windrose_angle = []
windrose_speed = []
windrose_frequency = []
for line in windrose:
columns = line.split()
windrose_angle.append(float(columns[0]))
windrose_speed.append(float(columns[1]))
windrose_frequency.append(float(columns[2]))
windrose.close()
summation = 0.0
## Power curve 2 MW Siemens
# def power(U0):
# if U0 < 4.0:
# return 0.0
# elif U0 >= 4.0:
# return 19.7907842158 * U0 ** 2.0 - 74.9080669331 * U0 + 37.257967033 # From 4 to 11 m/s
# for wind in range(0, len(windrose_speed)):
for wind in range(0, 1):
U1 = windrose_speed[wind] # Free stream wind speed
U0 = U1 * (90.0 /
10.0)**0.11 # Power or log law for wind shear profile
# U0 = U1 * log(70.0 / 0.005) / log(10.0 / 0.005)
angle = windrose_angle[wind]
angle3 = angle + 180.0
wake_deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
for turbine in range(0, nt):
parallel_distance = [0.0 for x in range(0, nt)]
perpendicular_distance = [0.0 for x in range(0, nt)]
flag = [False for x in range(nt)]
for i in range(nt):
flag[i], parallel_distance[i] = determine_front(
angle3, layout_x[turbine], layout_y[turbine], layout_x[i],
layout_y[i])
perpendicular_distance[i] = wake.crosswind_distance(
deg2rad(angle3), layout_x[turbine], layout_y[turbine],
layout_x[i], layout_y[i])
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if flag[j] is True:
if perpendicular_distance[j] <= 2.5:
wake_deficit_matrix[turbine][j] = ainslie(
0.46, U0, parallel_distance[j],
perpendicular_distance[j])
else:
wake_deficit_matrix[turbine][j] = 0.0
elif flag[j] is False:
wake_deficit_matrix[turbine][j] = 0.0
total_deficit = [0.0 for x in range(nt)]
total_speed = [0.0 for x in range(nt)]
for j in range(nt):
for i in range(nt):
total_deficit[j] += wake_deficit_matrix[i][j]**2.0
total_deficit[j] = sqrt(total_deficit[j])
total_speed[j] = U0 * (1.0 - total_deficit[j])
# Farm efficiency
profit = 0.0
efficiency_proportion = [
0.0 for x in range(0, len(windrose_frequency))
]
efficiency = 0.0
for l in range(nt):
profit += power(total_speed[l])
efficiency = profit * 100.0 / (nt * power(U0))
efficiency_proportion[
wind] = efficiency * windrose_frequency[wind] / 100.0
summation += efficiency_proportion[wind]
return summation
