Hopf bifurcation and chaos in a free-running current-controlled Ćuk switching regulator

Chi Kong Tse, Y. M. Lai, H. H.C. Lu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

135 Citations (Scopus)


An autonomous free-running Cuk converter is studied in this paper. Analysis of the describing nonlinear state equations shows that the system loses stability via a supercritical Hopf bifurcation. The boundary of stability is derived and local trajectories of motion studied. Cycle-by-cycle simulations of the actual system reveal the typical bifurcation from a stable equilibrium state to chaos, via limit cycles, and quasi-periodic orbits. Experimental measurements confirm the bifurcation scenarios. The occurrence of such kinds of bifurcation in autonomous dc/dc converters has been rarely known in power electronics.
Original languageEnglish
Pages (from-to)448-457
Number of pages10
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number4
Publication statusPublished - 1 Jan 2000

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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