Non-Fourier Fundamental Components for the Mitigation of Waveform Distortions

This paper analyses Fourier-based and some non-Fourier approaches for the mitigation of current and voltage waveform distortions. Classical Fourier transform (FT) approach is compared with widely used dq method and instantaneous power pq method, as well as with two newly proposed methods: half-cycle decomposition and equivalent energy content methods. The paper demonstrates that mitigation of waveform distortions when target sinusoidal reference is specified as a fundamental component extracted by different methods will generally provide different results. The alternatives to the FT-based mitigation of waveform distortions (i.e. mitigation based on the FT-specified fundamental component) are of interest due to the high computational requirements of the FT method. The analysis is illustrated using a simple half-wave diode rectifier circuit as an example.