def analysis():
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]))
layout_y.append(float(columns[1]))
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()
def Ct(U0):
return 0.0001923077 * U0**4.0 + -0.0075407925 * U0**3.0 + 0.096462704 * U0**2.0 - 0.5012354312 * U0 + 1.7184749184
# def power(U0):
# return -0.0071427272 * U0**5.0 + 0.5981106302 * U0**4.0 - 18.5218157059 * U0**3.0 + 251.0929636046 * U0**2.0 - 1257.8070377904 * U0 + 2043.2240149783
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
# def Cp(U0):
# return power(U0) / (0.5 * 1.225 * pi * r0**2.0 * U0**3.0)
# for U0 in range(4, 20):
nt = 80 # Number of turbines
summation = 0.0
p = [0.0 for x in range(nt)]
ct = 0.0
for wind in range(0, len(windrose_speed)):
ct += 1
# for wind in range(180-2, 180+3):
# if wind in [100, 133, 271, 280, 313]:
# continue
# 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
k = 0.04 # Decay constant
r0 = 40.0 # Turbine rotor radius
angle = windrose_angle[wind]
angle3 = angle + 180.0
deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
proportion = [[0.0 for x in range(nt)] for x in range(nt)]
affected_matrix = [[] for x in range(nt)]
for turbine in range(0, nt):
flag = [False for x in range(nt)]
for i in range(nt):
if i != turbine:
proportion[i][turbine] = wake_ainslie.determine_if_in_wake(layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i], k, r0, angle3)
elif i == turbine:
proportion[i][turbine] = 0.0
flag[i] = False
if flag[i] is True:
affected_matrix[i].append(turbine)
deficit = [0.0 for x in range(nt)]
length = [0 for x in range(nt)]
U = [0.0 for x in range(nt)]
for i in range(nt):
length[i] = len(affected_matrix[i])
row.write('{0:f}\t{1:f}\t{2:d}\n'.format(layout_x[i], layout_y[i], len(affected_matrix[i])))
row_vector = [[] for x in range(0, max(length) + 1)]
for i in range(nt):
for n in range(0, max(length) + 1):
if length[i] == n:
row_vector[n].append(i)
total_deficit = [0.0 for x in range(nt)]
counter = 0
for n in range(0, max(length) + 1):
# for n in range(0, 5):
if n == 0:
for turb in row_vector[n]:
deficit[turb] = 0.0
U[turb] = U0
else:
for turb in row_vector[n]:
for i in affected_matrix[turb]:
# print U[i], turb, turb, i, i, counter
if U[i] == 0.0:
row_vector[n].append(turb)
counter += 1
continue
elif deficit_matrix[turb][i] == 0.0:
deficit_matrix[turb][i] = proportion[turb][i] * wake_ainslie.wake_deficit(Ct(U[i]), k, wake_ainslie.distance(layout_x[turb], layout_y[turb], layout_x[i], layout_y[i]), r0)
total_deficit[turb] += deficit_matrix[turb][i] ** 2.0
if counter >= 20000:
break
total_deficit[turb] = sqrt(total_deficit[turb])
U[turb] = U0 * (1.0 - total_deficit[turb])
for turb in range(nt):
for i in range(nt):
output.write('{0:f}\t'.format(deficit_matrix[turb][i]))
output.write('\n')
output2.write('{0:d}\t{1:.1f}\t{2:.1f}\t{3:f}\t{4:f}\t{5:d}\t{6:f}\n'.format(turb, layout_x[turb], layout_y[turb], total_deficit[turb], U[turb], int(angle), power(U[turb])))
output2.write('\n')
# Individual turbine efficiency
# if angle == 0:
# for g in range(nt):
# p[g] += power(U[g])/power(U[row_vector[0][0]])
turb_data.write('{0:f}\t{1:f}\n'.format(angle, power(U[14])))
# Farm efficiency
profit = 0.0
efficiency_proportion = [0.0 for x in range(0, len(windrose_frequency))]
for l in range(nt):
profit += power(U[l])
# print row_vector[0][0]
efficiency = profit * 100.0 / (float(nt) * power(U[row_vector[0][0]]))
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)
# print 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)
# for g in range(nt):
# turb_data.write('{0:d}\t{1:f}\t{2:f}\t{3:f}\n'.format(g, layout_x[g], layout_y[g], p[g] / ct))
# turb_data.write('\n')
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
row.close()
def analysis():
nt = 80
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]))
layout_y.append(float(columns[1]))
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 Ct(U0):
return 0.0001923077 * U0**4.0 + -0.0075407925 * U0**3.0 + 0.096462704 * U0**2.0 - 0.5012354312 * U0 + 1.7184749184
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(10, 11):
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
k = 0.04 # Decay constant
r0 = 40.0 # Turbine rotor radius
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(nt):
flag = [False for x in range(nt)]
proportion = [0.0 for x in range(nt)]
for i in range(nt):
proportion[i], flag[i] = wake_ainslie.determine_if_in_wake(layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i], k, r0, angle3)
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if turbine != j and flag[j] is True:
wake_deficit_matrix[turbine][j] = proportion[j] * wake_ainslie.wake_deficit(0.81, k, wake_ainslie.distance(layout_x[turbine], layout_y[turbine], layout_x[j], layout_y[j]), r0)
elif turbine == j:
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], layout_y[j], 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))
# print U0, summation
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
def Jensen(a, Nt):
windrose = open('horns_rev_windrose2.dat', 'r')
nt = Nt
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])
layout_y[x] = float(a[x][1])
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
def Ct(U0):
return 0.0001923077 * U0**4.0 + -0.0075407925 * U0**3.0 + 0.096462704 * U0**2.0 - 0.5012354312 * U0 + 1.7184749184
def power(U0):
return -0.0071427272 * U0**5.0 + 0.5981106302 * U0**4.0 - 18.5218157059 * U0**3.0 + 251.0929636046 * U0**2.0 - 1257.8070377904 * U0 + 2043.2240149783
# 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(10, 11):
# 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
k = 0.04 # Decay constant
r0 = 40.0 # Turbine rotor radius
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(nt):
flag = [False for x in range(nt)]
proportion = [0.0 for x in range(nt)]
for i in range(nt):
proportion[i], flag[i] = wake_ainslie.determine_if_in_wake(
layout_x[turbine], layout_y[turbine], layout_x[i],
layout_y[i], k, r0, angle3)
# if angle == 300 and turbine == 75:
# if flag[i] is True and i != turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t1\n'.format(i, layout_x[i], layout_y[i]))
# elif flag[i] is not True and i != turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t0\n'.format(i, layout_x[i], layout_y[i]))
# elif i == turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t2\n'.format(i, layout_x[i], layout_y[i]))
# draw.write('\n')
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if turbine != j and flag[j] is True:
wake_deficit_matrix[turbine][
j] = proportion[j] * wake_ainslie.wake_deficit(
0.81, k,
wake_ainslie.distance(
layout_x[turbine], layout_y[turbine],
layout_x[j], layout_y[j]), r0)
elif turbine == j:
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]) /
923.0))
# 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], layout_y[j], total_deficit[j], total_speed[j], int(angle), power(total_speed[j])))
# output2.write('\n')
# Individual turbine efficiency
# if angle == 180:
# for g in range(0, 80):
# turb_data.write('{0:d}\t{1:f}\n'.format(g, power(total_speed[g]) / power(total_speed[g])))
# 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 / (80.0 * 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)
# print 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
return summation
def analysis():
layout_x = []
layout_y = []
for line in layout:
columns = line.split()
layout_x.append(float(columns[0]))
layout_y.append(float(columns[1]))
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()
def Ct(U0):
return 0.0001923077 * U0**4.0 + -0.0075407925 * U0**3.0 + 0.096462704 * U0**2.0 - 0.5012354312 * U0 + 1.7184749184
# def power(U0):
# return -0.0071427272 * U0**5.0 + 0.5981106302 * U0**4.0 - 18.5218157059 * U0**3.0 + 251.0929636046 * U0**2.0 - 1257.8070377904 * U0 + 2043.2240149783
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
# def Cp(U0):
# return power(U0) / (0.5 * 1.225 * pi * r0**2.0 * U0**3.0)
# for U0 in range(4, 20):
nt = 80 # Number of turbines
summation = 0.0
p = [0.0 for x in range(nt)]
ct = 0.0
for wind in range(0, len(windrose_speed)):
ct += 1
# for wind in range(180-2, 180+3):
# if wind in [100, 133, 271, 280, 313]:
# continue
# 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
k = 0.04 # Decay constant
r0 = 40.0 # Turbine rotor radius
angle = windrose_angle[wind]
angle3 = angle + 180.0
deficit_matrix = [[0.0 for x in range(nt)] for x in range(nt)]
proportion = [[0.0 for x in range(nt)] for x in range(nt)]
affected_matrix = [[] for x in range(nt)]
for turbine in range(0, nt):
flag = [False for x in range(nt)]
for i in range(nt):
if i != turbine:
proportion[i][turbine] = wake_ainslie.determine_if_in_wake(
layout_x[turbine], layout_y[turbine], layout_x[i],
layout_y[i], k, r0, angle3)
elif i == turbine:
proportion[i][turbine] = 0.0
flag[i] = False
if flag[i] is True:
affected_matrix[i].append(turbine)
deficit = [0.0 for x in range(nt)]
length = [0 for x in range(nt)]
U = [0.0 for x in range(nt)]
for i in range(nt):
length[i] = len(affected_matrix[i])
row.write('{0:f}\t{1:f}\t{2:d}\n'.format(layout_x[i], layout_y[i],
len(affected_matrix[i])))
row_vector = [[] for x in range(0, max(length) + 1)]
for i in range(nt):
for n in range(0, max(length) + 1):
if length[i] == n:
row_vector[n].append(i)
total_deficit = [0.0 for x in range(nt)]
counter = 0
for n in range(0, max(length) + 1):
# for n in range(0, 5):
if n == 0:
for turb in row_vector[n]:
deficit[turb] = 0.0
U[turb] = U0
else:
for turb in row_vector[n]:
for i in affected_matrix[turb]:
# print U[i], turb, turb, i, i, counter
if U[i] == 0.0:
row_vector[n].append(turb)
counter += 1
continue
elif deficit_matrix[turb][i] == 0.0:
deficit_matrix[turb][i] = proportion[turb][
i] * wake_ainslie.wake_deficit(
Ct(U[i]), k,
wake_ainslie.distance(
layout_x[turb], layout_y[turb],
layout_x[i], layout_y[i]), r0)
total_deficit[turb] += deficit_matrix[turb][i]**2.0
if counter >= 20000:
break
total_deficit[turb] = sqrt(total_deficit[turb])
U[turb] = U0 * (1.0 - total_deficit[turb])
for turb in range(nt):
for i in range(nt):
output.write('{0:f}\t'.format(deficit_matrix[turb][i]))
output.write('\n')
output2.write(
'{0:d}\t{1:.1f}\t{2:.1f}\t{3:f}\t{4:f}\t{5:d}\t{6:f}\n'.format(
turb, layout_x[turb], layout_y[turb], total_deficit[turb],
U[turb], int(angle), power(U[turb])))
output2.write('\n')
# Individual turbine efficiency
# if angle == 0:
# for g in range(nt):
# p[g] += power(U[g])/power(U[row_vector[0][0]])
turb_data.write('{0:f}\t{1:f}\n'.format(angle, power(U[14])))
# Farm efficiency
profit = 0.0
efficiency_proportion = [
0.0 for x in range(0, len(windrose_frequency))
]
for l in range(nt):
profit += power(U[l])
# print row_vector[0][0]
efficiency = profit * 100.0 / (float(nt) * power(U[row_vector[0][0]]))
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)
# print 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)
# for g in range(nt):
# turb_data.write('{0:d}\t{1:f}\t{2:f}\t{3:f}\n'.format(g, layout_x[g], layout_y[g], p[g] / ct))
# turb_data.write('\n')
turb_data.close()
output.close()
output2.close()
draw.close()
direction.close()
row.close()
def Jensen(a, Nt):
windrose = open('horns_rev_windrose2.dat', 'r')
nt = Nt
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])
layout_y[x] = float(a[x][1])
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
def Ct(U0):
return 0.0001923077 * U0 ** 4.0 + -0.0075407925 * U0 ** 3.0 + 0.096462704 * U0 ** 2.0 - 0.5012354312 * U0 + 1.7184749184
def power(U0):
return -0.0071427272 * U0 ** 5.0 + 0.5981106302 * U0 ** 4.0 - 18.5218157059 * U0 ** 3.0 + 251.0929636046 * U0 ** 2.0 - 1257.8070377904 * U0 + 2043.2240149783
# 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(10, 11):
# 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
k = 0.04 # Decay constant
r0 = 40.0 # Turbine rotor radius
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(nt):
flag = [False for x in range(nt)]
proportion = [0.0 for x in range(nt)]
for i in range(nt):
proportion[i], flag[i] = wake_ainslie.determine_if_in_wake(layout_x[turbine], layout_y[turbine], layout_x[i], layout_y[i], k, r0, angle3)
# if angle == 300 and turbine == 75:
# if flag[i] is True and i != turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t1\n'.format(i, layout_x[i], layout_y[i]))
# elif flag[i] is not True and i != turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t0\n'.format(i, layout_x[i], layout_y[i]))
# elif i == turbine:
# draw.write('{0:d}\t{1:.1f}\t{2:.1f}\t2\n'.format(i, layout_x[i], layout_y[i]))
# draw.write('\n')
# Matrix with effect of each turbine <i = turbine> on every other turbine <j> of the farm
for j in range(nt):
if turbine != j and flag[j] is True:
wake_deficit_matrix[turbine][j] = proportion[j] * wake_ainslie.wake_deficit(0.81, k, wake_ainslie.distance(layout_x[turbine], layout_y[turbine], layout_x[j], layout_y[j]), r0)
elif turbine == j:
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])/923.0))
# 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], layout_y[j], total_deficit[j], total_speed[j], int(angle), power(total_speed[j])))
# output2.write('\n')
# Individual turbine efficiency
# if angle == 180:
# for g in range(0, 80):
# turb_data.write('{0:d}\t{1:f}\n'.format(g, power(total_speed[g]) / power(total_speed[g])))
# 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 / (80.0 * 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)
# print 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
return summation