Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Issue on Recent Progress in Nonlinear Theory and Its Applications
A PTA method using numerical integration algorithms with artificial damping for solving nonlinear DC circuits
Xiao WUZhou JINDan NIUYasuaki INOUE
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2014 Volume 5 Issue 4 Pages 512-522

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Abstract

Pseudo-transient analysis, PTA, method is regarded as a practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. However, the convergence and efficiency of the previous studies are not satisfactory. Moreover, the numerical examples of previous studies are mainly for small-scale circuits or single type of circuits. Therefore, finding a more practical pseudo-transient analysis method for large-scale circuits and complex circuits becomes necessary and important. This paper proposes a new PTA method using numerical integration algorithms with artificial damping, and proposes a switching method in the implementation as well. The mathematical descriptions of the numerical integration algorithms are presented. The efficiency of the proposed PTA method is illustrated by solving practical nonlinear circuits.

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© 2014 The Institute of Electronics, Information and Communication Engineers
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