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

Author

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

Author_Institution

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

Volume

2

fYear

1998

fDate

17-22 May 1998

Firstpage

1091

Abstract

A free-running Cuk power 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

Keywords

DC-DC power convertors; Lyapunov methods; bifurcation; chaos; control system analysis computing; electric current control; stability; Lyapunov exponent; autonomous state equation; chaos; chaotic operation; computer simulation; free-running Cuk power converter; hysteretic current-control; stability boundary; supercritical Hopf bifurcation; Bifurcation; Chaos; Control systems; Equations; Hysteresis; Inductors; Regulators; Stability analysis; Switches; Voltage control;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics Specialists Conference, 1998. PESC 98 Record. 29th Annual IEEE

Conference_Location

Fukuoka

ISSN

0275-9306

Print_ISBN

0-7803-4489-8

Type

conf

DOI

10.1109/PESC.1998.703140

Filename

703140