The statistical smoothing of power delivered to utilities by multiple wind turbines

A relationship for estimating the spectrum of the power delivered from multiple wind turbines from the spectrum of the power delivered by a single wind turbine is derived. It is assumed in the derivation that the wind power time series of each wind turbine is stationary and can be related to time series or neighboring wind turbines by a spatial coherence function. The multiple wind turbine power spectra is derived for two cases: operation at rated power and operation at below rated power. The theoretical results are compared with measurement data, showing excellent agreement