Summary

2007 International Symposium on Nonlinear Theory and its Applications

2007

Session Number:19PM1-C

Session:

Number:19PM1-C-3

Spice-Oriented Harmonic Balance and Volterra Series Methods

Takaaki Kinouchi,  Yoshihiro Yamagami,  Yoshifumi Nishio,  Akio Ushida,  

pp.513-516

Publication Date:2007/9/16

Online ISSN:2188-5079

DOI:10.34385/proc.41.19PM1-C-3

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Summary:
There are typical two types of frequency-domain analysis of nonlinear circuits. One is Volterra series method which is widely used in European countries, because the algorithm is based on the bilinear theorem, and that the higher order solutions can be obtained in the analytical forms. Unfortunately, it can be only applied to the weakly nonlinear systems. The other is the harmonic balance (HB) method. In this paper, we have greatly improved the HB by combining with MATLAB and Spice, such that it can be efficiently applied to any kind of nonlinear electronic circuits. Namely, the Fourier coefficients can be obtained in the symbolic forms with MATLAB. The determining equation of harmonic balance method is given by the net-lists, which can be solved by the DC analysis of Spice. We will compare the Volterra series with HB methods in the point of their accuracies.