Symbolic analysis of bifurcation in switching power converters: A practical alternative viewpoint of border collision

Chi Kong Tse, Dong Dai, Xikui Ma

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)


In this letter, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block switching sequence is introduced, which, in conjunction with the waveform periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g. "smooth" period doubling and "nonsmooth" border collision. This concept explicitly exposes the mechanism of border collision from a circuit operational view-point and leads to a direct detection criterion for this global bifurcation. The proposed method is applied, as an illustrative example, to develop two-dimensional bifurcation diagrams for a voltage-mode controlled buck converter.
Original languageEnglish
Pages (from-to)2263-2270
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number7
Publication statusPublished - 1 Jan 2005


  • Bifurcation
  • Border collision
  • Power electronics
  • Switching converters
  • Switching sequence
  • Symbolic analysis

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this