Strategies for Accelerating Nonlinear Convergence for T-Ω Formulation

被引：7

作者：

Zhou, Ping ^{[1
]}

Lin, Dingsheng ^{[1
]}

He, Bo ^{[1
]}

Kher, Sameer S. ^{[1
]}

Cendes, Zoltan J. ^{[1
]}

机构：

[1] Ansoft LLC, Pittsburgh, PA 15219 USA

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2010年 / 46卷 / 08期

关键词：

Jacobian matrix; Newton-Raphson method; nonlinear convergence; transient finite element analysis (FEA); T-Omega formulation; NEWTON-RAPHSON METHOD;

D O I：

10.1109/TMAG.2010.2043508

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper details the derivation of the Jacobian matrix and the residual vector associated with the NewtonRaphson iteration sequence in terms of the T-ω formulation. Then, a scheme is proposed to efficiently find the optimum relaxation factor for improving global convergence. Furthermore, to address some local convergence issues, a local damping factor that damps the updating of the nonlinear material property for the evaluation of Jacobian matrix during nonlinear iteration is introduced. © 2006 IEEE.

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收藏

页码：3129 / 3132

页数：4

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