The method of double averaging: An approach for modeling power-factor-correction switching converters

Siu Chung Wong, Chi Kong Tse, Mohamed Orabi, Tamotsu Ninomiya

Research output: Journal article publicationJournal articleAcademic researchpeer-review

70 Citations (Scopus)


This paper describes the modeling of power-factor-correction converters under average-current-mode control, which are widely used in switch-mode power supply applications. The objective is to identify stability boundaries in terms of major circuit parameters for facilitating design of such converters. The approach employs a double averaging procedure, which first applies the usual averaging over the switching period and subsequently applies generalized averaging over the mains period. The resulting model, after two averaging steps and application of a harmonic balance procedure, is nonlinear and capable of describing the low-frequency nonlinear dynamics of the system. The parameter ranges within which stable operation is guaranteed can be accurately and easily found using this model. Experimental measurements are provided for verification of the analytical results.
Original languageEnglish
Pages (from-to)454-462
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number2
Publication statusPublished - 1 Dec 2006


  • Averaged model
  • Closed-form stability condition
  • Double averaging
  • Power factor correction (PFC)
  • Switching converters

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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