An Effective Time-Step Control Method in Damped Pseudo-Transient Analysis for Solving Nonlinear DC Circuit Equations

Xiao WU
Zhou JIN
Dan NIU
Yasuaki INOUE

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E98-A    No.11    pp.2274-2282
Publication Date: 2015/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.2274
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
pseudo transient analysis,  step-control,  DC operating point,  switched evolution/relaxation,  

This Paper was withdrawn by the authors. The withdrawal procedure has been completed on July 19, 2016.

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Summary: 
An effective time-step control method is proposed for the damped pseudo-transient analysis (DPTA). This method is based on the idea of the switched evolution/relaxation method which can automatically adapt the step size for different circuit states. Considering the number of iterations needed for the convergence of the Newton-Raphson method, the new method adapts the suitable time-step size with the status of previous steps. By numerical examples, it is proved that this method can improve the simulation efficiency and convergence for the DPTA method to solve nonlinear DC circuits.