功率平衡理论在研究非线性电路与混沌中的进展  

Progresses of Power Balance Theory in Researching Nonlinear Circuits and Chaos

作　　者：冯久超[1] 李广明[1,2] 

机构地区：[1]华南理工大学电子与信息学院,广东广州510640 [2]东莞理工学院计算机学院,广东东莞523808

出　　处：《华南理工大学学报（自然科学版）》2012年第11期13-18,77,共7页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60872123);NSFC-广东省自然科学联合基金资助项目(U0835001);广东省高层次人才项目基金资助项目(N9101070)

摘　　要：根据功率平衡理论,将谐波分析法建立在每一谐波成分要遵守复功率守恒的基础上,通过分析电路中的能量变化来研究动态电路的非线性振荡特性,这是非线性电路与混沌领域的一个新的研究课题.文中对与此相关的研究成果进行了介绍和总结——阐述了基波平衡分析法和主谐波平衡分析法及其应用情况,说明了周期解必然是单基频振荡,指出非单基频振荡是产生混沌的必要条件而双主谐波振荡揭示了混沌的内在本质属性;文中还就功率平衡理论在应用中的一些问题进行了讨论.This paper deals with a new research subject in the fields of nonlinear circuit and chaos,which,accor-ding to the power balance theory,performs the harmonic analysis in the condition that every harmonic component must follow the conservation of complex power,and explores the nonlinear oscillation characteristics of dynamic circuits based on the analysis of energy variation.In the investigation,first,the corresponding research achievements are introduced and summarized.Next,the fundamental wave balance analysis method and the primary harmonic balance analysis method are introduced,with their applications being also described.Then,some conclusions are drawn based on the analyses,namely,the periodic solution is inevitably a single fundamental frequency oscillation,the non-single fundamental frequency oscillation is necessary for generating chaos,and the double main harmonic oscillation uncovers the essential attributes of chaos.Finally,some application issues of the power balance theory are discussed.

关 键 词：非线性电路 混沌 功率平衡 谐波分析法 振荡特性 

分 类 号：TN722[电子电信—电路与系统]