Boundaries between fast- and slow-scale bifurcations in parallel-connected buck converters

Yuehui Huang, Herbert H C Iu, Chi Kong Tse

Research output: Journal article publicationJournal articleAcademic researchpeer-review

24 Citations (Scopus)


This paper studies a system of parallel-connected dc/dc buck converters under master-slave current sharing and proportional-integral (PI) PWM control. Two distinct types of bifurcations can be identified. Depending on the value of the integral control time constant, the system exhibits either a slow-scale bifurcation (Neimark-Sacker bifurcation) or a fast-scale bifurcation (period doubling). Extensive simulations are used to capture the behaviour. Trajectories and Poincare sections before and after these bifurcations are shown. The boundaries between these two types of bifurcations are located. In particular, the parameter spaces of the controllers for these bifurcations are totally different. A detailed analysis is performed, based on examining the Jacobian and characteristic multipliers of the describing discrete-time map.
Original languageEnglish
Pages (from-to)681-695
Number of pages15
JournalInternational Journal of Circuit Theory and Applications
Issue number5-6
Publication statusPublished - 1 Jul 2008


  • Bifurcation
  • Parallel-connected dc/dc converters
  • Stability boundary

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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