Wind Speed Frequency PDF CDF Weib Pwr Curve (kw) AEP-1 AEP-2 0-1 1-2 2-3 3-4 942

Question

Wind Speed Frequency PDF CDF Weib Pwr Curve (kw) AEP-1 AEP-2 0-1 1-2 2-3 3-4 942 927 1665 2609 3681 4352 5089 5676 5985 5606 4548 3590 2615 1940 1348 787 524 305 168 102 48 26 0 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26+ 101 250 468 759 1139 1637 2108 2398 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 0 0 Average Wind speed TOTAL AEP Create and fill in the above table in Excel as done in class. To fill in the spaces, use a formula (do NOT type in values. Calculate the average wind speed needed to determine the Weibull distrubution. AEP-1 is to be the Annual Energy Production for the given frequency distibution (PDF). AEP-2 is to be the AEP based on the Weibull distribution. In a few sentences, compare the two results On the same graph, graph the PDF and the Power Curve (use a secondary-axis)

Explanation / Answer

X Frequency PDF CDF Product( X*PDF) 0.5 942 0.017922 0.017922 0.008961187 1.5 927 0.017637 0.035559 0.026455479 2.50 1665 0.031678 0.067237 0.079195205 3.50 2609 0.049639 0.116876 0.173734779 4.50 3681 0.070034 0.18691 0.31515411 5.50 4352 0.082801 0.269711 0.455403349 6.50 5089 0.096823 0.366533 0.629347412 7.50 5676 0.107991 0.474524 0.809931507 8.50 5985 0.11387 0.588394 0.967893836 9.50 5606 0.106659 0.695053 1.013261035 10.50 4548 0.08653 0.781583 0.908561644 11.50 3590 0.068303 0.849886 0.785483257 12.50 2615 0.049753 0.899639 0.621908295 13.50 1940 0.03691 0.936549 0.498287671 14.50 1348 0.025647 0.962196 0.371879756 15.50 787 0.014973 0.977169 0.232087139 16.50 524 0.00997 0.987139 0.164497717 17.50 305 0.005803 0.992941 0.101550609 18.50 168 0.003196 0.996138 0.05913242 19.50 102 0.001941 0.998078 0.037842466 20.50 48 0.000913 0.998992 0.018721461 21.50 26 0.000495 0.999486 0.010635464 22.50 11 0.000209 0.999696 0.004708904 23.50 9 0.000171 0.999867 0.004023973 24.50 5 0.000095 0.999962 0.00233067 25.50 2 0.000038 1.00000 0.00097032 26+ 0 0 1 0 Total Frequency: 52560 Average 8.301959665

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