Statistical and Spectral Analysis of Wind Power: Fractional Oscillation Dynamics

Abstract

Time-dependent changes of the wind speed, as an example in Hera Campus (East Timor), are analyzed by the statistical and the autocorrelation function in time domain and by the frequency spectrum (frequency domain) using the Fast Fourier Transform (FFT). The wind speed can be modeled using the Weibull distribution function. The autocorrelation function in time domain shows roughly a non-exponential decay with periodicity. The power spectrum shows two peaks and nearly 1/f  nature at high frequencies, closing to the Kolmogorov prediction with  = 5/3. A Cole-Davidson type generalization of wind dynamics, originating from the fractional dynamics of oscillation, may be useful for analyzing wind power.