An Analytical Solution for Wind Farm Power Output

Abstract

An ad-hoc probabilistic analytical solution for modeling wind farm power output is proposed in this letter. In accordance with the unit impulse function described in signals and systems engineering, and combined with the output power versus wind speed curve with wake effect consideration and the wind speed probability density function (PDF), the PDF of wind farm power output is deduced analytically. The comparisons with Monte Carlo method are given to demonstrate the validity of the proposed model.