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Application of the fixed point method for solution in time stepping finite element analysis using the inverse vector Jiles-Atherton model

Mathekga, ME and McMahon, RA and Knight, AM (2011) Application of the fixed point method for solution in time stepping finite element analysis using the inverse vector Jiles-Atherton model. IEEE Transactions on Magnetics, 47. pp. 3048-3051. ISSN 0018-9464

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Abstract

An implementation of the inverse vector Jiles-Atherton model for the solution of non-linear hysteretic finite element problems is presented. The implementation applies the fixed point method with differential reluctivity values obtained from the Jiles-Atherton model. Differential reluctivities are usually computed using numerical differentiation, which is ill-posed and amplifies small perturbations causing large sudden increases or decreases of differential reluctivity values, which may cause numerical problems. A rule based algorithm for conditioning differential reluctivity values is presented. Unwanted perturbations on the computed differential reluctivity values are eliminated or reduced with the aim to guarantee convergence. Details of the algorithm are presented together with an evaluation of the algorithm by a numerical example. The algorithm is shown to guarantee convergence, although the rate of convergence depends on the choice of algorithm parameters. © 2011 IEEE.

Item Type: Article
Uncontrolled Keywords: Algorithm differential reluctivity fixed point method vector Jiles-Atherton model
Subjects: UNSPECIFIED
Divisions: Div B > Electronics, Power & Energy Conversion
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:31
Last Modified: 08 Dec 2014 02:35
DOI: 10.1109/TMAG.2011.2141655