谷值电流控制反激变换器的非线性现象

Nonlinear Analysis and Simulation of Valley Current Controlled Flyback Converter

为了选取DC-DC变换器的参数,建立了谷值电流控制反激变换器动力学方程和离散映射模型,利用分岔图和庞加莱映射,研究了其复杂的非线性动力学行为,并对基于谷值参考电流和输入直流电压变化的稳定性和分岔特性进行了分析.通过Matlab/Simulink平台构造了相应的时域仿真模型,得到了谷值电流控制反激变换器的时域波形和相轨图.研究结果表明,谷值电流控制反激变换器存在非线性动力学行为,变换器随着电路参数的变化,从稳定状态经过倍周期分岔和边界碰撞分岔进入混沌状态.

For parameter design of switching DC-DC converters, dynamic equations and a discrete mapping model of valley current controlled flybaek converter were established, and its complex nonlinear dynamic behaviors were investigated using bifurcation diagram and Poincare map. In addition, the stability and bifurcation property for valley reference current and DC voltage were analyzed. The time-domain waveform and phase portrait were obtained through time domain models constructed under Matlab/Simulink. The results show that valley current controlled flybaek converters have complex nonlinear dynamic behaviors. As circuit parameters vary, the converter changes from steady state to chaos by double period-double bifurcation and border-collision bifurcation.