基于不稳定周期轨道的参数扰动法在Boost变换器混沌控制中的应用

摘要

电力电子变换器是典型的非线性系统,分岔与混沌等非线性动力学现象的存在限制了变换器的工作范围,并对变换器性能产生了不良影响.因此,在对Boost变换器进行非线性动力学分析的基础上,通过采用一种基于不稳定周期轨道的参数扰动法,对处于混沌态的变换器进行控制,使重新工作于周期-1态.MATLAB数值仿真结果证明控制方案的有效性,在不改变主电路参数的前提下,可以扩大DC-DC变换器的稳定工作空间,提高变换器的增益,降低输出电压和输入电流的纹波,使变换器的性能得以提升.%The power electronic converter is a typical nonlinear system.The existence of nonlinear dynamic phenomena such as bifurcation and chaos limit the operating range of the converter and produces a harmful effect on the quality of the converter.Therefore,on the basis of a nonlinear dynamic analysis of the Boost converter,this paper adopts a parameter perturbation method based on UPO (unstable period orbit) to control the converter in its chaotic state so that it can operate again in the UPO-1 state.Results of MATLAB numerical simulation verify the effectiveness of the control approach.Without changing the parameters of the main circuit,this approach can expand the stable work space of the DC-DC converter,raise its gain and reduce ripple wave of the output voltage and input current,thus improving the performance of the converter.