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A wavelet approach to fast approximation of steady‐state waveforms of power electronics circuits
Author(s) -
Liu Ming,
Tse Chi K.,
Wu Jie
Publication year - 2003
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.252
Subject(s) - wavelet , waveform , electronic circuit , power electronics , electronics , electronic engineering , computer science , power (physics) , algorithm , electrical engineering , engineering , telecommunications , voltage , artificial intelligence , physics , radar , quantum mechanics
Waveforms arising from power electronics circuits often contain slowly changing segments with high‐frequency 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 different levels is described. When applied to power electronics circuits, the method yields efficient 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.