Summation of harmonic currents produced by AC/DC static power converters with randomly fluctuating loads

A method for analyzing the asymptotic behavior of the sum of randomly varying harmonic currents produced by static power converters is described. It has been shown by virtue of the central limit theorem that as the number of harmonic sources is large enough, the vectorial sum of random harmonic vectors approaches a bivariate normal distribution. However, methods of determining its parameters for realistic harmonic-generating loads need to be developed. This paper deals with the case of AC/DC static power converters. With the operating condition of each converter being known, the parameters of the bivariate normal distribution can be effectively determined. Monte-Carlo simulation is performed to justify the proposed method