Hopf Bifurcation and Chaos in a Free-Running Current-Controlled Ćuk Switching Regulator

C. K. Tse; Y. M. Lai; H. H. C. Lu

doi:10.1109/81.841847

Hopf Bifurcation and Chaos in a Free-Running Current-Controlled Ćuk Switching Regulator

C. K. Tse, Y. M. Lai, H. H. C. Lu

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

148 Citations (Scopus)

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.

Original language	English
Pages (from-to)	448-457
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	47
Issue number	4
Online published	Apr 2000
DOIs	https://doi.org/10.1109/81.841847
Publication status	Published - Apr 2000
Externally published	Yes

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title = "Hopf Bifurcation and Chaos in a Free-Running Current-Controlled {\'C}uk Switching Regulator",

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.",

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AU - Tse, C. K.

AU - Lai, Y. M.

AU - Lu, H. H. C.

PY - 2000/4

Y1 - 2000/4

N2 - 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.

AB - 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.

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DO - 10.1109/81.841847

M3 - RGC 21 - Publication in refereed journal

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SP - 448

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JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

IS - 4

ER -

Hopf Bifurcation and Chaos in a Free-Running Current-Controlled Ćuk Switching Regulator

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