1. Consider the following frequency distribution of monthly wind energy 1-2 2-3
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Question
1. Consider the following frequency distribution of monthly wind energy 1-2 2-3 3-4 4-5 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 37 62 87 90 65 54 30 14 Continue working on the excel sheet you have created for HW-1. Compare it with the uploaded solution and make sure you have made correction on it if needed a. Calculate probability [p(V)dV] of individual velocity (range) by using its frequency (fi) data b. Calculate cumulative probability (V) for each velocity (range) Find c and k using the following methods Weibull Graphical Method d. c. Weibull Standard Deviation Method Weibull Moment Method e. f. Weibull Energy Pattern Method Plot Probability Graphs by using p(V)dV, Rayleigh, and Weibull distributions Calculate the estimated Energy Density for a month based on both Rayleigh and Weibull methods. Compare these values with the value you calculated based on wind data Calculate the most frequent wind speed, and wind speed contributing the maximum energy using Rayleigh distributionExplanation / Answer
The frequency distribution of monthly wind energy is given:
The probability of individual velocity range is obtained as : the frequency of that velocity / total frequency
The cumulative probability is obtained as summing all the probabilities upto the probability corresponding to the current velocity.
Velocity Frequency Probability Cumulative Probability 0-1 13 0.017473118 0.017473118 1-2 37 0.049731183 0.067204301 2-3 50 0.067204301 0.134408602 3-4 62 0.083333333 0.217741935 4-5 78 0.10483871 0.322580645 5-6 87 0.116935484 0.439516129 6-7 90 0.120967742 0.560483871 7-8 78 0.10483871 0.665322581 8-9 65 0.087365591 0.752688172 9-10 54 0.072580645 0.825268817 10-11 40 0.053763441 0.879032258 11-12 30 0.040322581 0.919354839 12-13 22 0.029569892 0.948924731 13-14 14 0.018817204 0.967741935 14-15 9 0.012096774 0.97983871 15-'16 6 0.008064516 0.987903226 16-17 5 0.00672043 0.994623656 17-18 4 0.005376344 1 TOTAL 744Related Questions
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