用基波平衡原理分析双漩涡电路  

Double Scroll Circuit Analysis by Fundamental-Wave Balance Principle

作　　者：邝永明[1] 黄炳华[1] 

机构地区：[1]广西大学电气工程学院,南宁530004

出　　处：《桂林工学院学报》2008年第4期582-584,共3页Journal of Guilin University of Technology

基　　金：国家自然科学基金资助项目(6066200)

摘　　要：在非线性网络的适当端口施加正弦电压源uS,用基波平衡原理求得注入网络的基波电流iS1。当iS1=0时,如果存在有n个基波解的频率和幅值(ωS1,Umi)(i=1,2,3,…,n),则网络必然也对应的存在有n个周期解。如果基波解不存在,则原网络的周期解也不存在。以双漩涡电路为例,说明混沌振荡的性状。结论的普遍性可以推广到三阶非线性微分方程,其正确性可以用SIMULINK仿真验证。The fundamental-wave current component is1 injecting to the networks is found by fundamental-wave balance principle, when voltage source us is applied to the proper port of a nonlinear network. When is1 = 0, frequence and amplitude （ωs1, Umi） （i = 1, 2, 3, …, n） for n fundamental, harmonic solution can be found, then n periodic solution of original network exists. If harmonic solution is nonexistent, the original network has no periodic solution. Chaotic oscillation shape and properties can be explained by double scroll circuit. The universality of the conclusion can be extended to the three dimensional nonlinear network and verified by the Simulink.

关 键 词：非线性 稳定性 极限环 混沌 

分 类 号：TN722.3[电子电信—电路与系统]