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

Author

Tse, C.K. ; Lai, Y.M. ; Iu, H.H.C.

Author_Institution

Dept. of Electron. & Inf. Eng., Hong Kong Polytech., Kowloon, Hong Kong

Volume

47

Issue

4

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

448

Lastpage

457

Abstract

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

Keywords

DC-DC power convertors; bifurcation; chaos; limit cycles; nonlinear dynamical systems; switching circuits; Hopf bifurcation; autonomous DC/DC converter; chaos; computer simulation; free-running current-controlled Cuk switching regulator; limit cycle; nonlinear dynamical system; power electronics; quasi-periodic orbit; stability; Bifurcation; Chaos; Equations; Hysteresis; Limit-cycles; Orbits; Power electronics; Power engineering and energy; Regulators; Switching converters;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.841847

Filename

841847