基于频闪映射的Boost PFC变换器中的间歇性分岔和混沌现象分析

该文推导出了一组频闪映射方程来精确描述峰值电流控制型Boost PFC变换器的非线性动力学特性。数值模拟发现了系统电流在输入电压周期内会出现间歇性分岔和混沌现象，并对这种间歇性分岔和混沌的周期性进行了分析。通过对系统占空比的详细研究，发现系统并没有经过倍周期分岔的充分发展到达混沌，而是在倍周期分岔的过程中，发生边界碰撞分岔后以非光滑的方式直接进入混沌的。最后，给出了在输入电压幅值、参考电压和负载变化下系统的稳定域。这些结果对实际电路的设计具有重要的参考价值。

ANALYSIS OF INTERMITTENT BIFURCATIONS AND CHAOS PHENOMENA IN BOOST PFC CONVERTERS BY STROBOSCOPIC MAP

Stroboscopic maps are derived to describe precisely the nonlinear dynamical characteristics of Boost PFC converters under peak-current control mode. Based on the maps, numerical simulations are performed to reveal intermittent bifurcation and chaos phenomena within a line cycle. Furthermore, the duty ratio of system is also investigated in order to survey the route from bifurcation to chaos, and the results indicate that the chaotic behavior does not depend upon the sufficient development of period-doubling bifurcation, but originates from border collision bifurcations which occur in the halfway course of period-doubling. Finally, the stability region diagrams are given with input voltage amplitude, reference voltage and load as parameters. All these results are very useful to the design of practical circuits.