A wavelet approach to fast approximation of steady-state waveforms of power electronics circuits

Waveforms arising from power electronics circuits often contain slowly changing segments with highfrequency details concentrated near the switching instants. Such a feature is consistent with the localization property of wavelets which are known in the signal processing literature to be highly suitable for describing fast changing edges embedded in slowly varying backgrounds. This paper considers the application of wavelet approximation to the steady-state analysis of power electronics circuits. The basic procedure of wavelet approximation is reviewed, and an improved approach by mixing wavelets of di erent levels is described. When applied to power electronics circuits, the method yields e cient solutions because only a relatively small number of wavelets are needed and the proposed algorithm involves only matrix operations, permitting the steady-state waveforms to be found fast. Copyright ? 2003 John Wiley & Sons, Ltd.