DC-DC开关功率变换器的非线性动力学行为研究

DC-DC开关功率变换器是一种典型的分段光滑动力学系统, 在一定的工作和参数条件下, 系统会出现各种分岔如倍周期分岔、Hopf分岔、边界碰撞分岔和混沌运动. 系统评述了DC-DC开关功率变换器的非线性动力学行为的研究进展;介绍了离散非线性映射、分段线性模型、平均值模型等3种建模方法;分析了这种电路系统中的分岔特点及通向混沌的途径与机制;结合我们的研究工作, 讨论了对这种电路系统进行混沌控制的必要性及相关策略;最后, 从应用的角度提出了未来的若干研究方向. 

THE PROGRESS OF STUDY ON NONLINEAR DYNAMICS BEHAVIOR IN DC-DC SWITCHING POWER CONVERTER

DC-DC switching power converter is a typical piecewise-smooth dynamical system. In this circuit system, all kinds of bifurcations such as the period doubling bifurcation, Hopf bifurcation, Border collision bifurcation and chaotic motion can be generated under some working and parameter conditions. In this paper, the main progresses on the study nonlinear dynamics behaviors such as bifurcation and chaos are reviewed in DC-DC switching power converter are reviewed. Three modeling methods, including the discrete nonlinear map, piecewise-smooth model, average model, are introduced. The bifurcation characteristics and mechanisms, and the route to chaos are analyzed. Furthermore, based on our primary research work, the necessity of chaos control and corresponding methods are discussed for DC-DC switching power converter. Finally, from the point of view of applications, some future research areas are pointed out.