Switchings, bifurcations, and chaos in DC/DC converters

Author

Bernardo, Mario Di ; Garefalo, F. ; Glielmo, Luigi ; Vasca, Francesco

Author_Institution

Dept. of Eng. Math., Bristol Univ., UK

Volume

45

Issue

2

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

133

Lastpage

141

Abstract

Nonlinear phenomena in closed-loop pulsewidth modulated (PWM) DC/DC converters are analyzed. We introduce a new discrete time nonlinear map-the A-switching map-which is related to the asynchronous switchings, i.e., the changes of converter configuration occurring within the modulating period. This map is compared with the stroboscopic map, which is typically used in the study of DC/DC converters. Analytical conditions for the occurrence of periodic orbits and flip bifurcations are obtained. Moreover, necessary conditions for infinite local stretching on the phase space are derived. Finally, a possible explanation of the sudden jump to chaos exhibited by DC/DC converters is proposed. Analytical and numerical results can be applied to all fundamental DC/DC converter topologies. The case of the voltage-controlled buck converter is treated in detail

Keywords

DC-DC power convertors; PWM power convertors; bifurcation; chaos; nonlinear network analysis; switching; A-switching map; DC/DC converters; asynchronous switchings; closed-loop PWM converters; discrete time nonlinear map; flip bifurcations; infinite local stretching; nonlinear phenomena; periodic orbits; phase space; pulsewidth modulated converters; voltage-controlled buck converter; Bifurcation; Buck converters; Chaos; DC-DC power converters; Orbits; Pulse width modulation; Pulse width modulation converters; Switching converters; Topology; Voltage;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.661675

Filename

661675