Fast-scale bifurcation in power-factor-correction buck-boost converters and effects of incompatible periodicities

Jianlong Zou, Xikui Ma, Chi Kong Tse, Dong Dai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

53 Citations (Scopus)


In this paper, we derive the discrete-time model for the power-factor-correction (PFC) buck-boost converter in terms of a stroboscopic switching map. Fast-scale instability is analysed through a fold diagram, which exposes the periodicity of the operation as well as the locations of the critical phase angles of the line voltage at which instability begins to occur along a half-line cycle. The asymmetrical locations of the critical phase angles along a half-line cycle is explained in terms of 'under-developed' bifurcation. Border collision bifurcations are observed and analysed in detail.
Original languageEnglish
Pages (from-to)251-264
Number of pages14
JournalInternational Journal of Circuit Theory and Applications
Issue number3
Publication statusPublished - 1 May 2006


  • Bifurcation
  • Border collision
  • Buck-boost converter
  • Fast-scale instability
  • Power factor correction

ASJC Scopus subject areas

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

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