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

Xiao WU  Zhou JIN  Dan NIU  Yasuaki INOUE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.2   pp.619-628
Publication Date: 2017/02/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Nonlinear Problems
pseudo transient analysis,  step-control,  DC operating points,  switched evolution/relaxation,  

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An adaptive time-step control method is proposed for the damped pseudo-transient analysis (DPTA) method. The new method is based on the idea of switched evolution/relaxation (SER), which can automatically adapt the step size for different circuit states. Considering the number of iterations needed for the convergence of Newton-Raphson (NR) method and the states in previous steps, the proposed method can automatically optimize the time-step size. Using numerical examples, the new method is proven to improve robustness, simulation efficiency, and the convergence of DPTA for solving nonlinear DC circuit equations.