Intermittency in Switching Power Converters:Theoretical Analysis

In view of reasonable explanation of intermittent subharmonics and chaos that can be gained from coupling filter between circuits,this paper discusses a method that maps time bifurcation with parameter bifurcation.Based on this mapping method,the general analysis method of characteristic multiplier,which is originally aimed at parameter bifurcation,can be used for the study of intermittency,i.e.,time bifurcation.In this paper,all researches coming from characteristic multipliers,parameter-bifurcation diagrams,and the largest Lyapunov exponent indicate the same results as those produced by simulation and experiment.Thus,it is proved theoretically that the intermittency in switching power converter can be explained in terms of coupling of spurious interference.

高阶开关功率变换器中的间歇现象

以四阶电流模式控制单端初级电感变换器(single ended primary inductor converter,SEPIC)为例,研究高阶开关功率变换器中的间歇混沌和间歇分谐波现象。从电路耦合滤波的角度考虑,建立具有耦合干扰信号的SEPIC变换器模型,通过数值仿真和电路仿真观察到了间歇现象,分析不同电路参数对干扰信号强度阈值的影响。并将时间分岔映射为参数分岔,继而以此为基础运用特征值分析方法对变换器的稳定性进行了分析。参数分岔图、特征值轨迹与时间分岔图完全一致,均表明干扰信号的强度和频率决定着间歇现象的类型和间歇周期的大小。