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Definition: Gamma distribution is a distribution that arises naturally in processes for which the waiting times between events are relevant. It can be thought of as a waiting time between Poisson distributed events. Probability density function: The waiting time until the hth Poisson event with a rate of change Î» is.
This is equivalent to a standard deviation of 52% of the mean wind speed and is taken as the default value in the WindPower program. However, in the program, this ratio can easily be scrolled from 20% to 100% and the effect of this on mean power instantly displayed.he Gamma function is rather complex but we need to know its values only over a rather narrow range of values of (1+1/ k) from 1.173 to 2.014 corresponding to wind standard deviations of 20% and 100% respectively of the mean speed. The figure below shows the exact Gamma function compared with a simple polynomial fit.