Reactive power calculations using quadratic phase coupling estimation

Abstract

A time-domain approach for the calculation of the active, reactive and distortion power components in power systems confronted with the presence of substantial voltage and current distortion as well as measurement noise is presented. This approach uses autocorrelation and third-order cumulants for estimating the power components. The third-order cumulant is defined in terms of its joint moment of order up to 3. The degree of quadratic phase coupling is carried out once the bifrequencies of the power spectra are identified. This analysis is applied to a signal extracted from a linear combination of the voltage, current, and voltampere waveforms. The triples (nf, nf, 2nf) where, n=1,2,. . .,etc., and where n is the harmonic order, are the bifrequencies in the analyzed waveform. This new technique is suitable for use in situations where the following are required: noise filtering in current and voltage waveforms, precise calculations of power components in single-phase or multiphase circuits, and presence of distorted voltage and current waveforms in the network.<>