DC-DC变换器分叉和混沌现象的建模和分析方法  

METHODS FOR ANALYZING AND MODELING BIFURCATIONS AND CHAOS IN DC-DC CONVERTER

作　　者：张波[1] 李萍[1] 齐群[2] 

机构地区：[1]华南理工大学电力学院,广东广州510640 [2]广东交通职业技术学院,广东广州510800

出　　处：《中国电机工程学报》2002年第11期81-86,共6页Proceedings of the CSEE

基　　金：国家自然科学基金项目(50177009);广东省自然科学基金项目(011652)。~

摘　　要：根据DC-DC开关变换器结构、参数及不同工作条件,按一阶、二阶模型类型,利用时间离散映射方法推导出适合于一般DC-DC变换器的分叉和混沌现象的离散模型。此外,分析了DC-DC变换器分叉和混沌现象动态演化过程的研究方法,指出分叉图、Jacobian矩阵和Lyapunov指数是建立在离散模型基础上最有效的分析工具。并用相应的仿真和实验结果证明了文中理论研究的正确性。According to topologies, parameters and actual operation status of DC-DC converter, this paper deduces the discrete models well used in analyzing bifurcation and chaos in DC-DC converters and classifies them as one and two rank models .Otherwise, this paper analyses the methods of studying the dynamic processes of the bifurcation and chaos in DC-DC converter, it is pointed that bifurcation, Jacobian matrix and Lyapunov exponent are the most useful tools based on their discrete models. Finally some feasible simulation and experi-ment results verify the theories.

关 键 词：DC-DC变换器 分叉 混沌 建模 

分 类 号：TN624[电子电信—电路与系统]