PMD Calculator (using 50M at Hyderabad)

Month C.F.January 116 43 11% 48,174February 122 45 11% 47,955March 149 52 13% 59,004April 180 66 17% 71,989May 680 178 45% 201,622June 820 212 54% 232,262July 851 186 47% 210,863August 447 149 38% 167,961September 433 156 39% 170,584October 83 30 8% 34,144November 90 33 8% 36,452December 101 38 10% 43,350Annual 350 99 25% 108,590

Wind Turbine specification:Turbine Bonus 600 / 44 MK IVPower 600 KWCut in Wind 3 m/sCut out wind 25 m/sRotor Diameter 44 mHub height 50 m

Input W/m2 Output W/m2KWh / Month

Monthly Wind Power Density at Hyderabad (50m)

Month AvgV (m/s) St Dev C (m/s) K Temp ZoJanuary 4.3 2.7 4.9 1.7 18.2 1.628 117.0February 4.5 2.7 5.1 1.8 21.7 1.612 124.7March 4.7 3.0 5.3 1.6 26.1 1.618 154.8April 5.5 2.9 6.2 2.0 30.9 0.960 190.3May 9.1 3.8 10.3 2.5 32.4 0.455 721.7June 10.0 3.5 11.3 3.1 32.1 0.331 868.4July 9.5 4.5 10.7 2.3 30.1 0.466 896.6August 8.1 3.0 9.1 2.9 29.4 0.320 469.8September 8.2 2.4 9.3 3.8 28.7 0.334 453.8October 3.7 2.5 4.1 1.5 29.5 2.984 86.8November 3.9 2.5 4.4 1.6 23.8 2.587 92.3December 4.3 2.5 4.8 1.8 19.5 2.214 102.6Annual 6.4 3.9 7.2 1.7 26.9 1.292 364.2

P/A(w/m2)

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.04 1 0.1091 0.1091 0.6 0.07 0 0.000.00 0.43 2 0.1503 0.1503 4.8 0.73 0 0.000.61 1.54 3 0.1594 0.1594 16.3 2.61 2 0.323.09 3.38 4 0.1474 0.1474 38.8 5.71 17 2.516.03 5.55 5 0.1238 0.1238 75.7 9.37 45 5.577.93 7.47 6 0.0964 0.0964 130.8 12.60 72 6.949.08 8.65 7 0.0703 0.0703 207.7 14.60 124 8.729.67 8.90 8 0.0484 0.0484 310.0 15.01 196 9.498.79 8.28 9 0.0317 0.0317 441.4 13.98 277 8.777.04 7.08 10 0.0197 0.0197 605.5 11.94 364 7.185.03 5.60 11 0.0117 0.0117 805.9 9.46 444 5.213.30 4.15 12 0.0067 0.0067 1046.3 7.00 533 3.561.98 2.88 13 0.0037 0.0037 1330.3 4.86 584 2.141.10 1.89 14 0.0019 0.0019 1661.5 3.19 618 1.190.57 1.18 15 0.0010 0.0010 2043.6 1.99 619 0.600.29 0.70 16 0.0005 0.0005 2480.1 1.18 618 0.290.13 0.39 17 0.0002 0.0002 2974.8 0.66 619 0.140.06 0.21 18 0.0001 0.0001 3531.3 0.36 620 0.060.03 0.11 19 0.0000 0.0000 4153.1 0.18 610 0.030.01 0.05 20 0.0000 0.0000 4844.0 0.09 594 0.010.00 0.03 21 0.0000 0.0000 5607.5 0.04 592 0.000.00 0.01 22 0.0000 0.0000 6447.4 0.02 590 0.000.00 0.01 23 0.0000 0.0000 7367.1 0.01 580 0.000.00 0.00 24 0.0000 0.0000 8370.4 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9460.9 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10642.3 0.000.00 0.00 27 0.0000 0.0000 11918.1 0.000.00 0.00 28 0.0000 0.0000 13291.9 0.000.00 0.00 29 0.0000 0.0000 14767.5 0.000.00 0.00 30 0.0000 0.0000 16348.5 0.00

64.75 31 0.0000 0.0000 18038.5 0.0043 32 0.0000 0.0000 19841.0 0.00

33 0.0000 0.0000 21759.9 0.0034 0.0000 0.0000 23798.6 0.0035 0.0000 0.0000 25960.8 0.0036 0.0000 0.0000 28250.2 0.0037 0.0000 0.0000 30670.4 0.0038 0.0000 0.0000 33225.0 0.0039 0.0000 0.0000 35917.7 0.00 Turbine KW 60040 0.0000 0.0000 38752.0 0.00 Rotor Dia. 43

area % 98 98 116 Nordex116

scale C shape K Air Temp input output4.87 1.68 18.22 116 power output W/m^2 43

Air Density KWh/m^2/year 3751.211 KWh/year 543623

Capacity Factor 10%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 116 43Nordex 116 43

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.62221.2 3.12549.3 6.10483.2 8.018

130.7 9.189202 9.783

280.8 8.891361.3 7.125433.7 5.089498.6 3.334548.1 2.004577.3 1.110

596 0.579610 0.289

606.9 0.135593.4 0.060571.3 0.025545.6 0.010524.7 0.004

510 0.002500.7 0.001478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3043 may 31

373 jun 30567600 jul 31

11% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 48,174 oct 31

365.25 567,600 nov 30365 567,211 dec 31

Annual 365C.F. KWh/month

11% 48,174 10% 46,139

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.03 1 0.0929 0.0929 0.6 0.06 0 0.000.00 0.39 2 0.1391 0.1391 4.8 0.67 0 0.000.59 1.49 3 0.1561 0.1561 16.2 2.52 2 0.313.12 3.42 4 0.1506 0.1506 38.3 5.77 17 2.566.29 5.79 5 0.1306 0.1306 74.8 9.77 45 5.888.46 7.97 6 0.1041 0.1041 129.3 13.46 72 7.499.85 9.38 7 0.0771 0.0771 205.3 15.83 124 9.56

10.56 9.72 8 0.0535 0.0535 306.4 16.40 196 10.499.59 9.04 9 0.0350 0.0350 436.3 15.25 277 9.687.62 7.66 10 0.0216 0.0216 598.5 12.93 364 7.865.36 5.97 11 0.0126 0.0126 796.6 10.07 444 5.623.43 4.31 12 0.0070 0.0070 1034.2 7.28 533 3.752.00 2.91 13 0.0037 0.0037 1314.9 4.90 584 2.181.06 1.83 14 0.0019 0.0019 1642.3 3.09 618 1.160.53 1.09 15 0.0009 0.0009 2019.9 1.84 619 0.560.25 0.61 16 0.0004 0.0004 2451.5 1.03 618 0.260.11 0.32 17 0.0002 0.0002 2940.4 0.54 619 0.110.05 0.16 18 0.0001 0.0001 3490.5 0.27 620 0.050.02 0.08 19 0.0000 0.0000 4105.1 0.13 610 0.020.01 0.03 20 0.0000 0.0000 4788.0 0.06 594 0.010.00 0.02 21 0.0000 0.0000 5542.7 0.03 592 0.000.00 0.01 22 0.0000 0.0000 6372.8 0.01 590 0.000.00 0.00 23 0.0000 0.0000 7281.9 0.00 580 0.000.00 0.00 24 0.0000 0.0000 8273.7 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9351.6 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10519.2 0.000.00 0.00 27 0.0000 0.0000 11780.3 0.000.00 0.00 28 0.0000 0.0000 13138.3 0.000.00 0.00 29 0.0000 0.0000 14596.8 0.000.00 0.00 30 0.0000 0.0000 16159.5 0.00

68.90 31 0.0000 0.0000 17829.9 0.0045 32 0.0000 0.0000 19611.6 0.00

33 0.0000 0.0000 21508.3 0.0034 0.0000 0.0000 23523.4 0.0035 0.0000 0.0000 25660.7 0.0036 0.0000 0.0000 27923.6 0.0037 0.0000 0.0000 30315.8 0.0038 0.0000 0.0000 32840.9 0.0039 0.0000 0.0000 35502.4 0.00 Turbine KW 60040 0.0000 0.0000 38304.0 0.00 Rotor Dia. 43

area % 99 99 122 Nordex122

scale C shape K Air Temp input output5.10 1.78 21.67 122 power output W/m^2 45

Air Density KWh/m^2/year 3991.197 KWh/year 578682

Capacity Factor 11%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 122 45Nordex 122 45

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.60921.2 3.19249.3 6.43983.2 8.660

130.7 10.077202 10.808

280.8 9.817361.3 7.803433.7 5.485498.6 3.509548.1 2.043577.3 1.087

596 0.541610 0.256

606.9 0.112593.4 0.046571.3 0.018545.6 0.007524.7 0.002

510 0.001500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3045 may 31

397 jun 30603991 jul 31

11% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3029 47,955 oct 31

365.25 603,991 nov 30365 603,578 dec 31

Annual 365C.F. KWh/month

11% 47,955 11% 45,946

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.03 1 0.0998 0.0998 0.6 0.06 0 0.000.00 0.38 2 0.1359 0.1359 4.7 0.64 0 0.000.55 1.37 3 0.1456 0.1456 15.9 2.32 2 0.292.82 3.09 4 0.1381 0.1381 37.7 5.21 17 2.355.72 5.26 5 0.1205 0.1205 73.7 8.88 45 5.427.88 7.43 6 0.0985 0.0985 127.3 12.54 72 7.099.59 9.13 7 0.0762 0.0762 202.2 15.41 124 9.45

10.94 10.06 8 0.0563 0.0563 301.8 16.98 196 11.0310.75 10.13 9 0.0398 0.0398 429.7 17.10 277 11.02

9.41 9.45 10 0.0271 0.0271 589.5 15.95 364 9.857.40 8.24 11 0.0177 0.0177 784.6 13.91 444 7.875.39 6.78 12 0.0112 0.0112 1018.7 11.44 533 5.983.63 5.28 13 0.0069 0.0069 1295.1 8.91 584 4.022.27 3.92 14 0.0041 0.0041 1617.6 6.61 618 2.531.35 2.78 15 0.0024 0.0024 1989.6 4.68 619 1.460.77 1.89 16 0.0013 0.0013 2414.6 3.18 618 0.810.42 1.23 17 0.0007 0.0007 2896.2 2.08 619 0.440.22 0.77 18 0.0004 0.0004 3438.0 1.31 620 0.240.11 0.47 19 0.0002 0.0002 4043.4 0.79 610 0.120.05 0.28 20 0.0001 0.0001 4716.0 0.46 594 0.060.02 0.16 21 0.0000 0.0000 5459.4 0.26 592 0.030.01 0.09 22 0.0000 0.0000 6277.0 0.15 590 0.010.01 0.05 23 0.0000 0.0000 7172.4 0.08 580 0.010.00 0.02 24 0.0000 0.0000 8149.2 0.04 575 0.000.00 0.01 25 0.0000 0.0000 9210.9 0.02 570 0.000.00 0.01 26 0.0000 0.0000 10361.1 0.010.00 0.00 27 0.0000 0.0000 11603.1 0.000.00 0.00 28 0.0000 0.0000 12940.7 0.000.00 0.00 29 0.0000 0.0000 14377.3 0.000.00 0.00 30 0.0000 0.0000 15916.5 0.00

79.31 31 0.0000 0.0000 17561.8 0.0052 32 0.0000 0.0000 19316.7 0.00

33 0.0000 0.0000 21184.9 0.0034 0.0000 0.0000 23169.7 0.0035 0.0000 0.0000 25274.8 0.0036 0.0000 0.0000 27503.7 0.0037 0.0000 0.0000 29859.9 0.0038 0.0000 0.0000 32347.0 0.0039 0.0000 0.0000 34968.6 0.00 Turbine KW 60040 0.0000 0.0000 37728.0 0.00 Rotor Dia. 43

area % 98 98 149 Nordex149

scale C shape K Air Temp input output5.29 1.64 26.09 149 power output W/m^2 53

Air Density KWh/m^2/year 4651.179 KWh/year 675632

Capacity Factor 13%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 149 52Nordex 149 53

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.56821.2 2.92849.3 5.93983.2 8.192

130.7 9.962202 11.366

280.8 11.173361.3 9.775433.7 7.691498.6 5.598548.1 3.771577.3 2.359

596 1.403610 0.804

606.9 0.435593.4 0.225571.3 0.112545.6 0.054524.7 0.025

510 0.012500.7 0.005478.7 0.002457.7 0.001

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3052 may 31

457 jun 30695199 jul 31

13% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 59,004 oct 31

365.25 695,199 nov 30365 694,723 dec 31

Annual 365C.F. KWh/month

13% 59,004 13% 57,343

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.02 1 0.0506 0.0506 0.6 0.03 0 0.000.00 0.26 2 0.0942 0.0942 4.6 0.44 0 0.000.46 1.16 3 0.1244 0.1244 15.7 1.95 2 0.252.78 3.05 4 0.1383 0.1383 37.2 5.14 17 2.356.39 5.88 5 0.1367 0.1367 72.6 9.92 45 6.159.70 9.14 6 0.1230 0.1230 125.4 15.42 72 8.86

12.63 12.03 7 0.1019 0.1019 199.1 20.30 124 12.6415.02 13.82 8 0.0785 0.0785 297.2 23.32 196 15.3815.00 14.13 9 0.0564 0.0564 423.2 23.85 277 15.6112.97 13.03 10 0.0379 0.0379 580.5 21.99 364 13.79

9.83 10.94 11 0.0239 0.0239 772.6 18.47 444 10.616.70 8.43 12 0.0142 0.0142 1003.1 14.22 533 7.564.11 5.98 13 0.0079 0.0079 1275.4 10.09 584 4.622.28 3.93 14 0.0042 0.0042 1592.9 6.63 618 2.571.17 2.40 15 0.0021 0.0021 1959.2 4.04 619 1.280.56 1.36 16 0.0010 0.0010 2377.7 2.29 618 0.600.25 0.72 17 0.0004 0.0004 2852.0 1.22 619 0.260.10 0.36 18 0.0002 0.0002 3385.5 0.60 620 0.110.04 0.17 19 0.0001 0.0001 3981.6 0.28 610 0.040.01 0.07 20 0.0000 0.0000 4644.0 0.12 594 0.020.00 0.03 21 0.0000 0.0000 5376.0 0.05 592 0.010.00 0.01 22 0.0000 0.0000 6181.2 0.02 590 0.000.00 0.00 23 0.0000 0.0000 7062.9 0.01 580 0.000.00 0.00 24 0.0000 0.0000 8024.8 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9070.3 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10202.9 0.000.00 0.00 27 0.0000 0.0000 11426.0 0.000.00 0.00 28 0.0000 0.0000 12743.1 0.000.00 0.00 29 0.0000 0.0000 14157.8 0.000.00 0.00 30 0.0000 0.0000 15673.5 0.00

99.98 31 0.0000 0.0000 17293.7 0.0066 32 0.0000 0.0000 19021.8 0.00

33 0.0000 0.0000 20861.4 0.0034 0.0000 0.0000 22816.0 0.0035 0.0000 0.0000 24888.9 0.0036 0.0000 0.0000 27083.8 0.0037 0.0000 0.0000 29404.1 0.0038 0.0000 0.0000 31853.2 0.0039 0.0000 0.0000 34434.7 0.00 Turbine KW 60040 0.0000 0.0000 37152.0 0.00 Rotor Dia. 43

area % 100 100 180 Nordex180

scale C shape K Air Temp input output6.17 2.01 30.88 180 power output W/m^2 67

Air Density KWh/m^2/year 5881.161 KWh/year 853276

Capacity Factor 16%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 180 66Nordex 180 67

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.48521.2 2.93349.3 6.74183.2 10.233

130.7 13.324202 15.850

280.8 15.824361.3 13.689433.7 10.367498.6 7.068548.1 4.337577.3 2.402

596 1.230610 0.589

606.9 0.259593.4 0.105571.3 0.040545.6 0.014524.7 0.005

510 0.002500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3066 may 31

577 jun 30876465 jul 31

17% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3030 71,989 oct 31

365.25 876,465 nov 30365 875,865 dec 31

Annual 365C.F. KWh/month

17% 71,989 16% 70,084

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.00 1 0.0069 0.0069 0.6 0.00 0 0.000.00 0.05 2 0.0197 0.0197 4.6 0.09 0 0.000.13 0.33 3 0.0357 0.0357 15.6 0.56 2 0.071.06 1.16 4 0.0530 0.0530 37.0 1.96 17 0.903.24 2.98 5 0.0697 0.0697 72.2 5.03 45 3.136.58 6.20 6 0.0839 0.0839 124.7 10.46 72 6.04

11.59 11.04 7 0.0941 0.0941 198.1 18.63 124 11.6618.89 17.37 8 0.0992 0.0992 295.7 29.32 196 19.4426.15 24.64 9 0.0988 0.0988 421.0 41.58 277 27.3631.76 31.90 10 0.0932 0.0932 577.5 53.84 364 33.9334.16 38.05 11 0.0835 0.0835 768.7 64.20 444 37.0933.42 42.04 12 0.0711 0.0711 997.9 70.95 533 37.8929.72 43.23 13 0.0575 0.0575 1268.8 72.96 584 33.5824.05 41.49 14 0.0442 0.0442 1584.7 70.01 618 27.3018.11 37.23 15 0.0322 0.0322 1949.1 62.82 619 19.9512.83 31.28 16 0.0223 0.0223 2365.4 52.78 618 13.79

8.38 24.63 17 0.0146 0.0146 2837.3 41.56 619 9.075.10 18.18 18 0.0091 0.0091 3368.0 30.68 620 5.652.89 12.58 19 0.0054 0.0054 3961.1 21.23 610 3.271.53 8.17 20 0.0030 0.0030 4620.0 13.78 594 1.770.78 4.97 21 0.0016 0.0016 5348.2 8.39 592 0.930.37 2.83 22 0.0008 0.0008 6149.2 4.78 590 0.460.17 1.51 23 0.0004 0.0004 7026.4 2.55 580 0.210.07 0.76 24 0.0002 0.0002 7983.4 1.28 575 0.090.03 0.35 25 0.0001 0.0001 9023.4 0.60 570 0.040.00 0.15 26 0.0000 0.0000 10150.1 0.260.00 0.06 27 0.0000 0.0000 11366.9 0.110.00 0.02 28 0.0000 0.0000 12677.3 0.040.00 0.01 29 0.0000 0.0000 14084.6 0.010.00 0.00 30 0.0000 0.0000 15592.5 0.00

271.00 31 0.0000 0.0000 17204.3 0.00178 32 0.0000 0.0000 18923.5 0.00

33 0.0000 0.0000 20753.6 0.0034 0.0000 0.0000 22698.1 0.0035 0.0000 0.0000 24760.3 0.0036 0.0000 0.0000 26943.8 0.0037 0.0000 0.0000 29252.1 0.0038 0.0000 0.0000 31688.6 0.0039 0.0000 0.0000 34256.7 0.00 Turbine KW 60040 0.0000 0.0000 36960.0 0.00 Rotor Dia. 43

area % 100 100 680 Nordex680

scale C shape K Air Temp input output10.26 2.54 32.40 680 power output W/m^2 191

Air Density KWh/m^2/year 16721.155 KWh/year 2426819

Capacity Factor 46%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 680 178Nordex 680 191

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.13921.2 1.12349.3 3.43483.2 6.979

130.7 12.295202 20.030

280.8 27.732361.3 33.681433.7 36.226498.6 35.449548.1 31.516577.3 25.504

596 19.209610 13.611

606.9 8.889593.4 5.405571.3 3.063545.6 1.628524.7 0.823

510 0.397500.7 0.182478.7 0.077457.7 0.030

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 30178 may 31

1563 jun 302375568 jul 31

45% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 201,622 oct 31

365.25 2,375,568 nov 30365 2,373,942 dec 31

Annual 365C.F. KWh/month

45% 201,622 46% 205,972

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.00 1 0.0018 0.0018 0.6 0.00 0 0.000.00 0.02 2 0.0075 0.0075 4.6 0.03 0 0.000.06 0.16 3 0.0172 0.0172 15.6 0.27 2 0.030.61 0.67 4 0.0305 0.0305 37.0 1.13 17 0.522.16 1.99 5 0.0465 0.0465 72.3 3.36 45 2.095.01 4.72 6 0.0638 0.0638 124.8 7.97 72 4.609.94 9.47 7 0.0806 0.0806 198.3 15.97 124 9.99

18.02 16.58 8 0.0945 0.0945 295.9 27.97 196 18.5327.47 25.88 9 0.1037 0.1037 421.4 43.68 277 28.7136.32 36.48 10 0.1065 0.1065 578.0 61.56 364 38.7741.97 46.75 11 0.1026 0.1026 769.3 78.90 444 45.5343.49 54.70 12 0.0924 0.0924 998.8 92.31 533 49.2640.24 58.55 13 0.0778 0.0778 1269.9 98.80 584 45.4433.24 57.35 14 0.0610 0.0610 1586.0 96.78 618 37.7124.99 51.37 15 0.0444 0.0444 1950.7 86.69 619 27.5117.24 42.02 16 0.0300 0.0300 2367.5 70.91 618 18.5110.66 31.32 17 0.0186 0.0186 2839.7 52.85 619 11.52

5.95 21.21 18 0.0106 0.0106 3370.9 35.79 620 6.582.99 13.02 19 0.0055 0.0055 3964.5 21.96 610 3.381.36 7.21 20 0.0026 0.0026 4624.0 12.17 594 1.560.56 3.59 21 0.0011 0.0011 5352.9 6.07 592 0.670.21 1.61 22 0.0004 0.0004 6154.5 2.71 590 0.260.07 0.64 23 0.0002 0.0002 7032.5 1.08 580 0.090.02 0.23 24 0.0000 0.0000 7990.3 0.38 575 0.030.01 0.07 25 0.0000 0.0000 9031.3 0.12 570 0.010.00 0.02 26 0.0000 0.0000 10158.9 0.030.00 0.00 27 0.0000 0.0000 11376.8 0.010.00 0.00 28 0.0000 0.0000 12688.3 0.000.00 0.00 29 0.0000 0.0000 14096.8 0.000.00 0.00 30 0.0000 0.0000 15606.0 0.00

322.59 31 0.0000 0.0000 17219.2 0.00212 32 0.0000 0.0000 18939.9 0.00

33 0.0000 0.0000 20771.6 0.0034 0.0000 0.0000 22717.7 0.0035 0.0000 0.0000 24781.8 0.0036 0.0000 0.0000 26967.2 0.0037 0.0000 0.0000 29277.4 0.0038 0.0000 0.0000 31716.0 0.0039 0.0000 0.0000 34286.4 0.00 Turbine KW 60040 0.0000 0.0000 36992.0 0.00 Rotor Dia. 43

area % 100 100 820 Nordex820

scale C shape K Air Temp input output11.27 3.07 32.07 820 power output W/m^2 228

Air Density KWh/m^2/year 20021.156 KWh/year 2906082

Capacity Factor 55%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 820 212Nordex 820 228

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.06721.2 0.64749.3 2.29383.2 5.312

130.7 10.530202 19.093

280.8 29.108361.3 38.483433.7 44.478498.6 46.082548.1 42.644577.3 35.225

596 26.486610 18.270

606.9 11.295593.4 6.301571.3 3.165545.6 1.436524.7 0.595

510 0.225500.7 0.077478.7 0.023457.7 0.006

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 30212 may 31

1861 jun 302827793 jul 31

54% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3030 232,262 oct 31

365.25 2,827,793 nov 30365 2,825,858 dec 31

Annual 365C.F. KWh/month

54% 232,262 55% 238,693

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.00 1 0.0107 0.0107 0.6 0.01 0 0.000.00 0.07 2 0.0251 0.0251 4.7 0.12 0 0.000.15 0.38 3 0.0403 0.0403 15.7 0.63 2 0.081.10 1.21 4 0.0549 0.0549 37.2 2.04 17 0.933.16 2.91 5 0.0676 0.0676 72.7 4.91 45 3.046.13 5.77 6 0.0775 0.0775 125.6 9.74 72 5.58

10.43 9.94 7 0.0841 0.0841 199.5 16.77 124 10.4216.66 15.32 8 0.0869 0.0869 297.7 25.86 196 17.0222.93 21.61 9 0.0860 0.0860 423.9 36.46 277 23.8228.10 28.22 10 0.0819 0.0819 581.5 47.63 364 29.8130.96 34.49 11 0.0752 0.0752 774.0 58.20 444 33.3831.55 39.68 12 0.0666 0.0666 1004.8 66.96 533 35.5229.71 43.22 13 0.0571 0.0571 1277.6 72.94 584 33.3425.93 44.74 14 0.0473 0.0473 1595.6 75.49 618 29.2421.47 44.13 15 0.0379 0.0379 1962.6 74.47 619 23.4917.06 41.59 16 0.0295 0.0295 2381.8 70.18 618 18.2112.77 37.52 17 0.0222 0.0222 2856.9 63.31 619 13.72

9.09 32.44 18 0.0161 0.0161 3391.3 54.74 620 10.016.18 26.92 19 0.0114 0.0114 3988.5 45.42 610 6.954.03 21.46 20 0.0078 0.0078 4652.0 36.21 594 4.622.57 16.44 21 0.0052 0.0052 5385.3 27.75 592 3.051.60 12.12 22 0.0033 0.0033 6191.8 20.45 590 1.950.98 8.60 23 0.0021 0.0021 7075.1 14.51 580 1.190.56 5.88 24 0.0012 0.0012 8038.7 9.92 575 0.710.31 3.87 25 0.0007 0.0007 9085.9 6.52 570 0.410.00 2.45 26 0.0004 0.0004 10220.4 4.140.00 1.50 27 0.0002 0.0002 11445.7 2.530.00 0.88 28 0.0001 0.0001 12765.1 1.490.00 0.50 29 0.0001 0.0001 14182.2 0.840.00 0.27 30 0.0000 0.0000 15700.5 0.46

283.42 31 0.0000 0.0000 17323.5 0.24186 32 0.0000 0.0000 19054.6 0.12

33 0.0000 0.0000 20897.4 0.0634 0.0000 0.0000 22855.3 0.0335 0.0000 0.0000 24931.8 0.0136 0.0000 0.0000 27130.5 0.0137 0.0000 0.0000 29454.7 0.0038 0.0000 0.0000 31908.1 0.0039 0.0000 0.0000 34494.0 0.00 Turbine KW 60040 0.0000 0.0000 37216.0 0.00 Rotor Dia. 43

area % 100 100 851 Nordex851

scale C shape K Air Temp input output10.72 2.25 30.10 851 power output W/m^2 200

Air Density KWh/m^2/year 17571.163 KWh/year 2550867

Capacity Factor 48%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 851 186Nordex 851 200

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.15721.2 1.16449.3 3.33383.2 6.452

130.7 10.986202 17.545

280.8 24.151361.3 29.593433.7 32.610498.6 33.227548.1 31.291577.3 27.312

596 22.615610 17.974

606.9 13.449593.4 9.578571.3 6.506545.6 4.246524.7 2.703

510 1.685500.7 1.027478.7 0.590457.7 0.329

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 30186 may 31

1635 jun 302484437 jul 31

47% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 210,863 oct 31

365.25 2,484,437 nov 30365 2,482,736 dec 31

Annual 365C.F. KWh/month

47% 210,863 48% 216,501

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.00 1 0.0044 0.0044 0.6 0.00 0 0.000.00 0.05 2 0.0168 0.0168 4.7 0.08 0 0.000.13 0.33 3 0.0358 0.0358 15.7 0.56 2 0.071.20 1.32 4 0.0595 0.0595 37.3 2.22 17 1.013.97 3.65 5 0.0845 0.0845 72.9 6.16 45 3.808.45 7.96 6 0.1067 0.1067 125.9 13.43 72 7.68

15.14 14.42 7 0.1217 0.1217 200.0 24.34 124 15.0924.32 22.38 8 0.1265 0.1265 298.5 37.76 196 24.7932.08 30.23 9 0.1200 0.1200 425.0 51.02 277 33.2535.74 35.91 10 0.1039 0.1039 583.0 60.60 364 37.8333.82 37.67 11 0.0819 0.0819 776.0 63.57 444 36.3727.79 34.96 12 0.0586 0.0586 1007.4 58.99 533 31.2119.72 28.69 13 0.0378 0.0378 1280.9 48.42 584 22.0812.05 20.79 14 0.0219 0.0219 1599.8 35.08 618 13.55

6.45 13.26 15 0.0114 0.0114 1967.6 22.37 619 7.043.04 7.42 16 0.0052 0.0052 2388.0 12.52 618 3.241.23 3.62 17 0.0021 0.0021 2864.3 6.12 619 1.320.43 1.54 18 0.0008 0.0008 3400.1 2.60 620 0.470.13 0.57 19 0.0002 0.0002 3998.8 0.96 610 0.150.03 0.18 20 0.0001 0.0001 4664.0 0.30 594 0.040.01 0.05 21 0.0000 0.0000 5399.2 0.08 592 0.010.00 0.01 22 0.0000 0.0000 6207.8 0.02 590 0.000.00 0.00 23 0.0000 0.0000 7093.4 0.00 580 0.000.00 0.00 24 0.0000 0.0000 8059.4 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9109.4 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10246.8 0.000.00 0.00 27 0.0000 0.0000 11475.2 0.000.00 0.00 28 0.0000 0.0000 12798.0 0.000.00 0.00 29 0.0000 0.0000 14218.8 0.000.00 0.00 30 0.0000 0.0000 15741.0 0.00

225.75 31 0.0000 0.0000 17368.2 0.00149 32 0.0000 0.0000 19103.7 0.00

33 0.0000 0.0000 20951.3 0.0034 0.0000 0.0000 22914.2 0.0035 0.0000 0.0000 24996.1 0.0036 0.0000 0.0000 27200.4 0.0037 0.0000 0.0000 29530.7 0.0038 0.0000 0.0000 31990.4 0.0039 0.0000 0.0000 34583.0 0.00 Turbine KW 60040 0.0000 0.0000 37312.0 0.00 Rotor Dia. 43

area % 100 100 447 Nordex447

scale C shape K Air Temp input output9.13 2.94 29.44 447 power output W/m^2 157

Air Density KWh/m^2/year 13741.166 KWh/year 1994350

Capacity Factor 38%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 447 149Nordex 447 157

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.14021.2 1.26249.3 4.16783.2 8.875

130.7 15.908202 25.553

280.8 33.707361.3 37.553433.7 35.528498.6 29.198548.1 20.720577.3 12.660

596 6.777610 3.197

606.9 1.296593.4 0.454571.3 0.137545.6 0.035524.7 0.008

510 0.002500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 30149 may 31

1302 jun 301978957 jul 31

38% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 167,961 oct 31

365.25 1,978,957 nov 30365 1,977,602 dec 31

Annual 365C.F. KWh/month

38% 167,961 38% 169,267

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.00 1 0.0008 0.0008 0.6 0.00 0 0.000.00 0.02 2 0.0056 0.0056 4.7 0.03 0 0.000.06 0.16 3 0.0171 0.0171 15.8 0.27 2 0.030.76 0.83 4 0.0373 0.0373 37.4 1.40 17 0.633.11 2.86 5 0.0660 0.0660 73.1 4.82 45 2.977.94 7.48 6 0.1000 0.1000 126.3 12.62 72 7.20

16.49 15.70 7 0.1322 0.1322 200.5 26.50 124 16.3929.52 27.16 8 0.1531 0.1531 299.3 45.82 196 30.0141.36 38.97 9 0.1544 0.1544 426.1 65.77 277 42.7546.07 46.29 10 0.1336 0.1336 584.5 78.11 364 48.6440.40 45.00 11 0.0976 0.0976 778.0 75.94 444 43.3428.01 35.24 12 0.0589 0.0589 1010.0 59.47 533 31.3814.96 21.77 13 0.0286 0.0286 1284.1 36.73 584 16.70

6.00 10.35 14 0.0109 0.0109 1603.9 17.46 618 6.731.79 3.68 15 0.0032 0.0032 1972.7 6.22 619 1.950.39 0.95 16 0.0007 0.0007 2394.1 1.61 618 0.420.06 0.17 17 0.0001 0.0001 2871.6 0.29 619 0.060.01 0.02 18 0.0000 0.0000 3408.8 0.04 620 0.010.00 0.00 19 0.0000 0.0000 4009.1 0.00 610 0.000.00 0.00 20 0.0000 0.0000 4676.0 0.00 594 0.000.00 0.00 21 0.0000 0.0000 5413.1 0.00 592 0.000.00 0.00 22 0.0000 0.0000 6223.8 0.00 590 0.000.00 0.00 23 0.0000 0.0000 7111.6 0.00 580 0.000.00 0.00 24 0.0000 0.0000 8080.1 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9132.8 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10273.2 0.000.00 0.00 27 0.0000 0.0000 11504.7 0.000.00 0.00 28 0.0000 0.0000 12830.9 0.000.00 0.00 29 0.0000 0.0000 14255.4 0.000.00 0.00 30 0.0000 0.0000 15781.5 0.00

236.92 31 0.0000 0.0000 17412.8 0.00156 32 0.0000 0.0000 19152.9 0.00

33 0.0000 0.0000 21005.2 0.0034 0.0000 0.0000 22973.2 0.0035 0.0000 0.0000 25060.4 0.0036 0.0000 0.0000 27270.4 0.0037 0.0000 0.0000 29606.7 0.0038 0.0000 0.0000 32072.7 0.0039 0.0000 0.0000 34672.0 0.00 Turbine KW 60040 0.0000 0.0000 37408.0 0.00 Rotor Dia. 43

area % 100 100 433 Nordex433

scale C shape K Air Temp input output9.28 3.80 28.68 433 power output W/m^2 164

Air Density KWh/m^2/year 14361.169 KWh/year 2084868

Capacity Factor 40%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 433 156Nordex 433 164

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.06721.2 0.79149.3 3.25483.2 8.317

130.7 17.277202 30.931

280.8 43.342361.3 48.281433.7 42.336498.6 29.356548.1 15.678577.3 6.286

596 1.879610 0.410

606.9 0.062593.4 0.006571.3 0.000545.6 0.000524.7 0.000

510 0.000500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 30156 may 31

1367 jun 302076859 jul 31

39% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3030 170,584 oct 31

365.25 2,076,859 nov 30365 2,075,437 dec 31

Annual 365C.F. KWh/month

39% 170,584 40% 171,242

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.05 1 0.1579 0.1579 0.6 0.09 0 0.000.00 0.50 2 0.1800 0.1800 4.7 0.84 0 0.000.62 1.55 3 0.1666 0.1666 15.7 2.62 2 0.332.78 3.05 4 0.1380 0.1380 37.3 5.15 17 2.354.96 4.57 5 0.1058 0.1058 72.9 7.71 45 4.766.04 5.69 6 0.0763 0.0763 125.9 9.61 72 5.496.51 6.20 7 0.0523 0.0523 200.0 10.46 124 6.496.60 6.07 8 0.0343 0.0343 298.5 10.24 196 6.735.78 5.45 9 0.0216 0.0216 425.0 9.20 277 5.994.53 4.55 10 0.0132 0.0132 583.0 7.67 364 4.793.19 3.56 11 0.0077 0.0077 776.0 6.01 444 3.442.09 2.63 12 0.0044 0.0044 1007.4 4.44 533 2.351.27 1.85 13 0.0024 0.0024 1280.9 3.13 584 1.430.72 1.25 14 0.0013 0.0013 1599.8 2.10 618 0.810.39 0.80 15 0.0007 0.0007 1967.6 1.36 619 0.430.20 0.50 16 0.0004 0.0004 2388.0 0.84 618 0.220.10 0.30 17 0.0002 0.0002 2864.3 0.50 619 0.110.05 0.17 18 0.0001 0.0001 3400.1 0.29 620 0.050.02 0.10 19 0.0000 0.0000 3998.8 0.16 610 0.020.01 0.05 20 0.0000 0.0000 4664.0 0.09 594 0.010.00 0.03 21 0.0000 0.0000 5399.2 0.05 592 0.010.00 0.01 22 0.0000 0.0000 6207.8 0.02 590 0.000.00 0.01 23 0.0000 0.0000 7093.4 0.01 580 0.000.00 0.00 24 0.0000 0.0000 8059.4 0.01 575 0.000.00 0.00 25 0.0000 0.0000 9109.4 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10246.8 0.000.00 0.00 27 0.0000 0.0000 11475.2 0.000.00 0.00 28 0.0000 0.0000 12798.0 0.000.00 0.00 29 0.0000 0.0000 14218.8 0.000.00 0.00 30 0.0000 0.0000 15741.0 0.00

45.89 31 0.0000 0.0000 17368.2 0.0030 32 0.0000 0.0000 19103.7 0.00

33 0.0000 0.0000 20951.3 0.0034 0.0000 0.0000 22914.2 0.0035 0.0000 0.0000 24996.1 0.0036 0.0000 0.0000 27200.4 0.0037 0.0000 0.0000 29530.7 0.0038 0.0000 0.0000 31990.4 0.0039 0.0000 0.0000 34583.0 0.00 Turbine KW 60040 0.0000 0.0000 37312.0 0.00 Rotor Dia. 43

area % 96 96 83 Nordex83

scale C shape K Air Temp input output4.14 1.50 29.54 83 power output W/m^2 30

Air Density KWh/m^2/year 2631.166 KWh/year 382199

Capacity Factor 7%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 83 30Nordex 83 30

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.65021.2 2.92549.3 5.21483.2 6.348

130.7 6.838202 6.932

280.8 6.076361.3 4.754433.7 3.357498.6 2.200548.1 1.339577.3 0.759

596 0.411610 0.215

606.9 0.107593.4 0.051571.3 0.023545.6 0.010524.7 0.005

510 0.002500.7 0.001478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3030 may 31

265 jun 30402299 jul 31

8% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 34,144 oct 31

365.25 402,299 nov 30365 402,024 dec 31

Annual 365C.F. KWh/month

8% 34,144 7% 32,438

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.05 1 0.1339 0.1339 0.6 0.08 0 0.000.00 0.48 2 0.1704 0.1704 4.8 0.81 0 0.000.64 1.61 3 0.1691 0.1691 16.0 2.71 2 0.343.02 3.31 4 0.1470 0.1470 38.0 5.59 17 2.505.57 5.12 5 0.1164 0.1164 74.3 8.64 45 5.246.91 6.51 6 0.0856 0.0856 128.3 10.98 72 6.167.49 7.14 7 0.0591 0.0591 203.7 12.04 124 7.337.56 6.95 8 0.0386 0.0386 304.1 11.73 196 7.566.52 6.14 9 0.0239 0.0239 433.0 10.37 277 6.634.97 4.99 10 0.0142 0.0142 594.0 8.42 364 5.163.38 3.77 11 0.0080 0.0080 790.6 6.36 444 3.572.11 2.66 12 0.0044 0.0044 1026.4 4.49 533 2.331.22 1.77 13 0.0023 0.0023 1305.0 2.98 584 1.340.64 1.11 14 0.0012 0.0012 1629.9 1.88 618 0.710.32 0.66 15 0.0006 0.0006 2004.8 1.12 619 0.350.16 0.38 16 0.0003 0.0003 2433.0 0.64 618 0.160.07 0.21 17 0.0001 0.0001 2918.3 0.35 619 0.070.03 0.11 18 0.0001 0.0001 3464.2 0.18 620 0.030.01 0.05 19 0.0000 0.0000 4074.2 0.09 610 0.010.00 0.03 20 0.0000 0.0000 4752.0 0.04 594 0.010.00 0.01 21 0.0000 0.0000 5501.0 0.02 592 0.000.00 0.01 22 0.0000 0.0000 6324.9 0.01 590 0.000.00 0.00 23 0.0000 0.0000 7227.2 0.00 580 0.000.00 0.00 24 0.0000 0.0000 8211.5 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9281.3 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10440.1 0.000.00 0.00 27 0.0000 0.0000 11691.7 0.000.00 0.00 28 0.0000 0.0000 13039.5 0.000.00 0.00 29 0.0000 0.0000 14487.1 0.000.00 0.00 30 0.0000 0.0000 16038.0 0.00

50.63 31 0.0000 0.0000 17695.9 0.0033 32 0.0000 0.0000 19464.2 0.00

33 0.0000 0.0000 21346.6 0.0034 0.0000 0.0000 23346.6 0.0035 0.0000 0.0000 25467.8 0.0036 0.0000 0.0000 27713.7 0.0037 0.0000 0.0000 30087.9 0.0038 0.0000 0.0000 32594.0 0.0039 0.0000 0.0000 35235.5 0.00 Turbine KW 60040 0.0000 0.0000 38016.0 0.00 Rotor Dia. 43

area % 98 98 90 Nordex90

scale C shape K Air Temp input output4.41 1.62 23.83 90 power output W/m^2 33

Air Density KWh/m^2/year 2901.188 KWh/year 420874

Capacity Factor 8%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 90 33Nordex 90 33

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.65921.2 3.11749.3 5.74083.2 7.123

130.7 7.724202 7.793

280.8 6.723361.3 5.123433.7 3.486498.6 2.180548.1 1.253577.3 0.665

596 0.333610 0.160

606.9 0.072593.4 0.031571.3 0.013545.6 0.005524.7 0.002

510 0.001500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3033 may 31

292 jun 30443799 jul 31

8% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3030 36,452 oct 31

365.25 443,799 nov 30365 443,495 dec 31

Annual 365C.F. KWh/month

8% 36,452 8% 34,569

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.04 1 0.1008 0.1008 0.6 0.06 0 0.000.00 0.43 2 0.1511 0.1511 4.8 0.73 0 0.000.64 1.61 3 0.1672 0.1672 16.3 2.72 2 0.333.28 3.60 4 0.1573 0.1573 38.6 6.07 17 2.676.40 5.89 5 0.1318 0.1318 75.4 9.94 45 5.938.24 7.76 6 0.1006 0.1006 130.2 13.10 72 7.249.10 8.66 7 0.0707 0.0707 206.8 14.62 124 8.779.18 8.45 8 0.0462 0.0462 308.7 14.25 196 9.057.78 7.33 9 0.0281 0.0281 439.6 12.37 277 7.805.72 5.75 10 0.0161 0.0161 603.0 9.71 364 5.863.70 4.12 11 0.0087 0.0087 802.6 6.95 444 3.842.15 2.71 12 0.0044 0.0044 1042.0 4.57 533 2.341.13 1.65 13 0.0021 0.0021 1324.8 2.78 584 1.230.54 0.93 14 0.0010 0.0010 1654.6 1.58 618 0.590.24 0.49 15 0.0004 0.0004 2035.1 0.83 619 0.250.10 0.24 16 0.0002 0.0002 2469.9 0.41 618 0.100.04 0.11 17 0.0001 0.0001 2962.5 0.19 619 0.040.01 0.05 18 0.0000 0.0000 3516.7 0.08 620 0.010.00 0.02 19 0.0000 0.0000 4136.0 0.03 610 0.010.00 0.01 20 0.0000 0.0000 4824.0 0.01 594 0.000.00 0.00 21 0.0000 0.0000 5584.4 0.00 592 0.000.00 0.00 22 0.0000 0.0000 6420.7 0.00 590 0.000.00 0.00 23 0.0000 0.0000 7336.7 0.00 580 0.000.00 0.00 24 0.0000 0.0000 8335.9 0.00 575 0.000.00 0.00 25 0.0000 0.0000 9421.9 0.00 570 0.000.00 0.00 26 0.0000 0.0000 10598.3 0.000.00 0.00 27 0.0000 0.0000 11868.8 0.000.00 0.00 28 0.0000 0.0000 13237.1 0.000.00 0.00 29 0.0000 0.0000 14706.6 0.000.00 0.00 30 0.0000 0.0000 16281.0 0.00

58.27 31 0.0000 0.0000 17964.0 0.0038 32 0.0000 0.0000 19759.1 0.00

33 0.0000 0.0000 21670.0 0.0034 0.0000 0.0000 23700.3 0.0035 0.0000 0.0000 25853.6 0.0036 0.0000 0.0000 28133.6 0.0037 0.0000 0.0000 30543.8 0.0038 0.0000 0.0000 33087.8 0.0039 0.0000 0.0000 35769.4 0.00 Turbine KW 60040 0.0000 0.0000 38592.0 0.00 Rotor Dia. 43

area % 99 99 101 Nordex101

scale C shape K Air Temp input output4.81 1.80 19.50 101 power output W/m^2 38

Air Density KWh/m^2/year 3331.206 KWh/year 483849

Capacity Factor 9%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 101 38Nordex 101 38

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.65221.2 3.33549.3 6.49983.2 8.367

130.7 9.239202 9.324

280.8 7.904361.3 5.815433.7 3.754498.6 2.188548.1 1.152577.3 0.550

596 0.244610 0.102

606.9 0.039593.4 0.014571.3 0.005545.6 0.002524.7 0.000

510 0.000500.7 0.000478.7 0.000457.7 0.000

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3038 may 31

336 jun 30510764 jul 31

10% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3031 43,350 oct 31

365.25 510,764 nov 30365 510,414 dec 31

Annual 365C.F. KWh/month

10% 43,350 9% 41,066

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

Binning P(Vi) power curve0.00 0.00 0 0.0000 0.0000 0.0 0.00 0 0.000.00 0.02 1 0.0553 0.0553 0.6 0.03 0 0.000.00 0.24 2 0.0848 0.0848 4.7 0.40 0 0.000.38 0.96 3 0.1018 0.1018 15.9 1.62 2 0.202.22 2.43 4 0.1089 0.1089 37.6 4.10 17 1.855.11 4.70 5 0.1080 0.1080 73.5 7.94 45 4.868.08 7.62 6 0.1012 0.1012 127.0 12.85 72 7.29

11.37 10.83 7 0.0906 0.0906 201.7 18.28 124 11.2415.12 13.91 8 0.0780 0.0780 301.1 23.48 196 15.2917.48 16.47 9 0.0648 0.0648 428.7 27.79 277 17.9618.11 18.19 10 0.0522 0.0522 588.0 30.70 364 19.0016.99 18.93 11 0.0408 0.0408 782.6 31.94 444 18.1214.86 18.69 12 0.0310 0.0310 1016.1 31.55 533 16.5512.11 17.61 13 0.0230 0.0230 1291.8 29.72 584 13.44

9.22 15.90 14 0.0166 0.0166 1613.5 26.83 618 10.286.72 13.80 15 0.0117 0.0117 1984.5 23.29 619 7.274.74 11.55 16 0.0081 0.0081 2408.4 19.50 618 5.003.18 9.35 17 0.0055 0.0055 2888.8 15.78 619 3.382.05 7.33 18 0.0036 0.0036 3429.2 12.36 620 2.231.28 5.57 19 0.0023 0.0023 4033.1 9.40 610 1.420.77 4.11 20 0.0015 0.0015 4704.0 6.94 594 0.880.46 2.95 21 0.0009 0.0009 5445.5 4.99 592 0.540.27 2.07 22 0.0006 0.0006 6261.0 3.49 590 0.330.16 1.41 23 0.0003 0.0003 7154.2 2.38 580 0.190.09 0.94 24 0.0002 0.0002 8128.5 1.58 575 0.110.05 0.61 25 0.0001 0.0001 9187.5 1.03 570 0.060.00 0.39 26 0.0001 0.0001 10334.7 0.650.00 0.24 27 0.0000 0.0000 11573.6 0.410.00 0.15 28 0.0000 0.0000 12907.8 0.250.00 0.09 29 0.0000 0.0000 14340.7 0.150.00 0.05 30 0.0000 0.0000 15876.0 0.09

150.82 31 0.0000 0.0000 17517.1 0.0599 32 0.0000 0.0000 19267.6 0.03

33 0.0000 0.0000 21131.0 0.0134 0.0000 0.0000 23110.8 0.0135 0.0000 0.0000 25210.5 0.0036 0.0000 0.0000 27433.7 0.0037 0.0000 0.0000 29784.0 0.0038 0.0000 0.0000 32264.7 0.0039 0.0000 0.0000 34879.6 0.00 Turbine KW 60040 0.0000 0.0000 37632.0 0.00 Rotor Dia. 43

area % 99 99 350 Nordex350

scale C shape K Air Temp input output7.20 1.73 26.87 350 power output W/m^2 104

Air Density KWh/m^2/year 9131.176 KWh/year 1325317

Capacity Factor 25%

Nordex 43/600

output bonus 2

Betz's Law

excel weibull

power of each

power density

output Nordex

KWh/monthKWh/yearKWh/year

input outputBonus 350 99Nordex 350 104

a) If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityb) The area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

0 0.0000 0.0000 0.000

3.9 0.39721.2 2.30849.3 5.32383.2 8.420

130.7 11.843202 15.755

280.8 18.205361.3 18.861433.7 17.702498.6 15.480548.1 12.610577.3 9.601

596 6.995610 4.938

606.9 3.314593.4 2.139571.3 1.331545.6 0.805524.7 0.480

510 0.284500.7 0.166478.7 0.093457.7 0.051

600 Month Days44 jan 31

Bonus feb 28mar 31

output apr 3099 may 31

870 jun 301322083 jul 31

25% aug 31

Bonus 600/44

power curve

output Bonus

Days sep 3030 108,590 oct 31

365.25 1,322,083 nov 30365 1,321,178 dec 31

Annual 365C.F. KWh/month

25% 108,590 25% 108,856

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site

If we multiply the power of each wind speed with the probability of each wind speed from the Weibull graph, we have calculated the distribution of wind energy at different wind speeds = the power densityThe area under the curve (all the way to the axis at the bottom) gives us the amount of wind power per square metre wind flow we may expect at this particular site