Abstract
ABSTRACT It is shown here that if the PDF (Probability Distribution Function) of wind speed is a Rayleigh distribution with parameter s , then the PDF of wind power is a Weibull distribution with parameters a = 2 ρ s 3 , b = 2 3 , where ρ is the air density; if the wind speed PDF is a Weibull distribution with parameters a , b , then the wind power PDF is also a Weibull distribution with parameters a 3 ρ 2 , b 3 ; if the PDF of wind speed is a log-normal distribution with parameters μ , σ , then the PDF of wind power is also a log-normal distribution with parameters ln ρ 2 + 3 μ , 3 σ . The derived relationships allow us to quickly estimate parameters that indicate the wind power potential of the considered site, and the amount of wind energy generated by the turbine.
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