2008•Acta Physica SinicaOpen access

Mechanism of period-doubling bifurcation in DCM DC-DC converter

Wang Xue-mei, Bo Zhang, Qiu Dong-yuan, (1)华南理工大学电力学院,广州 510640; (2)华南理工大学电力学院,广州 510640；湖南工业大学电气与信息工程学院，株洲 412008

Abstract

The period-doubling bifurcation in DC-DC converters has been investigated widely. However, the studies main focus on the models of bifurcations and the identification of strange attractors, the essential mechanism causing period-doubling bifurcation was not analyzed. This paper deduces mathematically the conditions of producing the period-doubling bifurcation in discontinuous current mode (DCM) Boost and Buck converters based on voltage feedback control. It exposes the mechanism of the period-doubling bifurcation in DC-DC converters and perfects the theoretical analysis method, puting forward an analytic method for studying the period-doubling bifurcation.

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Key concepts: Period-doubling bifurcation, Bifurcation, Converters, Control theory (sociology), Saddle-node bifurcation, Bifurcation diagram, Attractor, Mathematics