On the Period-doubling Bifurcation in PWM controlled Buck Converter
Sen Li, Babak Fahimi
Abstract
Sen Li, Babak Fahimi
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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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)