基于切换线性系统的DC-DC变换器矩阵系数多项式描述模型基于切换线性系统的DC—DC变换器矩阵系数多项式描述模型“ Matrix Coefficient Polynomial Description Model ofDC-·DC Converters Based on Switched Linear Systems 张涌萍张波胡宗波邓卫华华南理工大学电力学院(广州510640) Zhang Yongping Zhang Bo Hu Zongbo Deng Weihua Electrical Power College South China University ofTechnology(5 10640) 摘要:本文将DC-DC变换器视为一类典型的混杂动态系统,即切换线性系统,引入切换线性系统的一种薪的数学建模方法~一一矩阵系数多项式插值建模法对基本的1-)C-DC变换器进行建模。建立了DC-DC变换器线性切换系统的连续部分与离散部分联系的显式描述形式,得到了一个离散变量与连续变量直接相互作用的数学模型。该矩阵系数多项式模型从某种程度上更深入地揭示了DC-DC变换器切换线性系统的运行本质,并且对系统的性能分析产生一定的作用。稳态分析和瞬态闭环仿真的结果均验证了该新型模型的实用性。叙词:切换线性系统DC—IX;变换器建模 Abstmct:In thispaper,IX;一DC converters are considered be one type ofhybrid dynamic systems--switched linearsystems。 A new mathematical model ofswitched linearsystem-matrix coefficient polynomial description model obvious description form therelationship between thecontinuous part and discrete part built。anew model ofswitched linear sys- ternofDC-DC converter,in which continuous variable and discrete variable interact on each other directly,is sowte extent,the new model helps reveal the essence ofoperation activity and analyze theperformance ofDC—DC theresults ofsteady-state analysis and ck)sed—loop simulation oftransient response have certified the practicability ofthe new model. Keywords:switched linearsystems DC-DC converter modeling 1 引言由于人们所面对的系统日趋复杂,为了追求更高的目标和效益,必须更深刻地去认识对象和分析问题
