CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2003, Vol. 20 ›› Issue (2): 107-110.

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Incremental Harmonic Balance Computation Scheme for a Class of Piecewise-linear Circuit Systems

XU Lei1, LU Ming-wan1, CAO Qing-jie2   

  1. 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;
    2. School of Mathematics and System Science, Shandong University, Jinan 250061, China
  • Received:2001-11-07 Revised:2002-06-17 Online:2003-03-25 Published:2003-03-25

Abstract: IHB computation scheme of the periodic solutions for a class of piecewise-linear circuit systems is derived and the relevant numerical simulation is carried out. Phase planes under some specific control parameter values, as well as the system response property within a band of control parameter values, are plotted with the results compared with those of the Runge-Kutta method. It is shown that the IHB computation scheme proves to be an effective way of analyzing nonlinear problems in engineering practice.

Key words: incremental harmonic balance, piecewise-linear, periodic response, attractor

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