2018Unpublished venueRequires access

On the Period-doubling Bifurcation in PWM controlled Buck Converter

Sen Li, Babak Fahimi

Open publisher page 9 citations

Abstract

DC-DC converters are being widely used in electrified transportation systems. It has been proven that chaos in this family of converters can lead to instability. This digest presents a mathematical study of bifurcation and chaos in PWM- controlled DC-DC buck converters. The derivation of discrete time models for the period -1, period -2, period -4 and period -8 orbits are demonstrated. A practical circuit has been constructed and tested, and the experimental results verified the validity of the theoretical analysis.

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What this paper is about

DC-DC converters are being widely used in electrified transportation systems. It has been proven that chaos in this family of converters can lead to instability. This digest presents a mathematical study of bifurcation and chaos in PWM- controlled DC-DC buck converters. The derivation of discrete time models for the period -1, period -2, period -4 and period -8 orbits are demonstrated. A practical circuit has been constructed and tested, and the experimental results verified the validity of the theoretical analysis.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

DC-DC converters are being widely used in electrified transportation systems. It has been proven that chaos in this family of converters can lead to instability. This digest presents a mathematical study of bifurcation and chaos in PWM- controlled DC-DC buck converters. The derivation of discrete time models for the period -1, period -2, period -4 and period -8 orbits are demonstrated. A practical circuit has been constructed and tested, and the experimental results verified the validity of the theoretical analysis.

Key concepts: Converters, Bifurcation, Pulse-width modulation, Control theory (sociology), Period-doubling bifurcation, Buck converter, Chaotic, CHAOS (operating system)

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