Journal of South China University of Technology(Natural Science Edition) ›› 2012, Vol. 40 ›› Issue (11): 13-18,77.

• Review & Feature Article • Previous Articles     Next Articles

Progresses of Power Balance Theory in Researching Nonlinear Circuits and Chaos

Feng Jiu-chao1  Li Guang-ming1,2   

  1. 1. School of Electronic and Information Engineering,South China University of Technology,Guangzhou 510640,Guangdong,China; 2. School of Computer,Dongguan University of Technology,Dongguan 523808,Guangdong,China
  • Received:2012-08-01 Online:2012-11-25 Published:2012-10-01
  • Contact: 冯久超(1964-) ，男，教授，博士生导师，主要从事电路及信号处理的理论与应用研究． E-mail:fengjc@ scut.edu.cn
  • About author:冯久超(1964-) ，男，教授，博士生导师，主要从事电路及信号处理的理论与应用研究．
  • Supported by:

    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)

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Abstract:

This paper deals with a new research subject in the fields of nonlinear circuit and chaos,which,according 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.

Key words: nonlinear circuit, chaos, power balance, harmonic analysis method, oscillation characteristic