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

Ming Liu, Chi Kong Tse, Jie Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)591-610
Number of pages20
JournalInternational Journal of Circuit Theory and Applications
Issue number6
Publication statusPublished - 1 Nov 2003


  • Power electronics circuits
  • Steady-state solutions
  • Wavelet transforms

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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