Hopf bifurcation and chaos in a hysteretic current-controlled Cuk regulator

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

Research output: Journal article publicationConference articleAcademic researchpeer-review

6 Citations (Scopus)

Abstract

A free-running Cuk converter is studied in this paper. An autonomous state equation and its dimensionless form are derived. Analysis of this equation shows that the system loses stability via a supercritical Hopf bifurcation. The boundary of stability is derived and trajectories of motion studied. In the unstable region, the largest Lyapunov exponent is positive, verifying the chaotic operation. Computer simulations of the actual system and experimental results verify the analytical results regarding stability and chaos.
Original languageEnglish
Pages (from-to)1091-1097
Number of pages7
JournalPESC Record - IEEE Annual Power Electronics Specialists Conference
Volume2
Publication statusPublished - 1 Jan 1998
EventProceedings of the 1998 IEEE 29th Annual Power Electronics Specialists Conference, PESC. Part 2 (of 2) - Fukuoka, Japan
Duration: 18 May 199821 May 1998

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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