Summary

International Symposium on Nonlinear Theory and its Applications

2010

Session Number:B2L-E

Session:

Number:B2L-E5

SPICE-Oriented Algorithm for Assessment of Stability for Periodic Solutions

Hiroshige Kataoka,  Yoshihiro Yamagami,  Yoshifumi Nishio,  Akio Ushida,  

pp.374-377

Publication Date:2010/9/5

Online ISSN:2188-5079

DOI:10.34385/proc.44.B2L-E5

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Summary:
The assessment of the stability for periodic solutions is very important for designing the circuit. There are many method for the assessment of the stability. In this article, we propose a SPICE-oriented method for the assessment of the stability, that is based on the Floquet theory. By using our method, we can assess the stability of the circuit easily. First, we obtain the periodic solutions of the circuit by using the SPICE. Next, we calculate the eigenvalues of a Jacobian matrix by solving variational circuits based on the Floquet theory. As an example, we assess the stability of the periodic solutions for one order resonance circuit including nonlinear capacitors.