不连续导电模式DC-DC变换器的倍周期分岔机理研究  

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

作　　者：王学梅[1] 张波[1] 丘东元[1] 

机构地区：[1]华南理工大学电力学院

出　　处：《物理学报》2008年第5期2728-2736,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60474066,60774069);广东省自然科学基金(批准号:05103540)资助的课题~~

摘　　要：根据一般迭代映射的倍周期分岔定理,从数学上论证了电压型不连续导电模式(DCM)Boost和Buck变换器中倍周期分岔现象产生条件,由此揭示了DC-DC变换器中倍周期分岔现象发生的机理,完善了该类变换器倍周期分岔分析的理论和方法.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 perioddoubling bifurcation in DC-DC converters and perfects the theoretical analysis method, puting forward an analytic method for studying the period-doubling bifurcation.

关 键 词：倍周期分岔 迭代映射 LYAPUNOV指数 施瓦茨导数 

分 类 号：TM46[电气工程—电器]