电压控制型BUCK变换器DCM的精确离散模型及分叉稳定性分析

The Precise Mathematical Discrete Model of BUCK Converter in DCM and Its Analysis for Bifurcation Stability

本文建立了不连续运行模式下电压反馈型BUCK变换器精确的离散数学模型 ,在此基础上分析了BUCK变换器的分叉稳定性问题 ,得到了变换器参数之间相互关系的解析表示式 ,改进了已有近似模型的结论 ,界定了变换器主要参数的稳定运行范围 ,并展现了BUCK变换器从稳定到倍周期分叉甚或混沌的过程 .本文的研究方法具有一般性 ,为DC/DC功率变换器非线性现象的分析建立数学模型基础 .

Propose a precise discrete model of simple BUCK converter,which is operated in discontinuous mode (DCM).Based on the model,bifurcation phenomena in the converter are analyzed.Compared with the approximate model,the new model has more advantages in showing and explaining the strange non-linear phenomena.So the study in the paper is necessary,and it is not limited in the circuits of BUCK Converter but in all the DC/DC power converters.