Hopf bifurcation and chaos from torus breakdown in a PWM voltage-controlled DC-DC boost converter

Author

El Aroudi, Abdelali ; Benadero, Luis ; Toribio, Eliezer ; Olivar, Gerard

Author_Institution

Dept. de Fisica Aplicada, Univ. Politecnica de Catalunya, Barcelona, Spain

Volume

46

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

1374

Lastpage

1382

Abstract

The behavior of a closed loop dc-dc boost converter is investigated when the pulse width modulation (PWM) period is varied. The dynamics are analyzed both by using analytical solutions of the state equations and by the stroboscopic map. This analysis shows that Hopf bifurcation occurs at a certain value of the parameters. Phase-locking periodic windows, the period adding sequence, and the transition from quasi-periodicity to period doubling via torus breakdown are also obtained. An experimental prototype was built to check the numerical results. Parasitic elements, such as the equivalent series resistance of the inductor and the conducting voltage of the diode, are included in the model to obtain better concordance with experiments

Keywords

DC-DC power convertors; PWM power convertors; bifurcation; chaos; Hopf bifurcation; PWM period; PWM voltage-controlled DC-DC boost converter; chaos; conducting voltage; equivalent series resistance; parasitic elements; period adding sequence; phase-locking periodic windows; quasi-periodicity; state equations; stroboscopic map; torus breakdown; Bifurcation; Chaos; DC-DC power converters; Electric breakdown; Equations; Inductors; Prototypes; Pulse width modulation; Pulse width modulation converters; Voltage;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.802837

Filename

802837