On the derivation of an analytical expression for wind power probability distribution function and capacity factor of turbine
Year: 2024
Type: article
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=2ρs3,b=23, 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 a3ρ2,b3; 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 lnρ2+3μ,3σ. 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.
Authors: Emin Gardashov, Rauf Gardashov
Language: English
Subfield: Aerospace Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4401655088
