Complementary two‐dimensional finite element formulations with inclusion of a vectorized Jiles‐Atherton model

J. Gyselinck (Department of Electrical Engineering (ELAP), University of Liège, Belgium)
L. Vandevelde (Electrical Energy Lab (EELAB), Ghent University, Belgium)
J. Melkebeek (Electrical Energy Lab (EELAB), Ghent University, Belgium)
P. Dular (Department of Electrical Engineering (ELAP), University of Liège, Belgium)

Abstract

This paper deals with the magnetic vector and scalar potential formulation for two‐dimensional (2D) finite element (FE) calculations including a vector hysteresis model, namely a vectorized Jiles‐Atherton model. The particular case of a current‐free FE model with imposed fluxes and magnetomotive forces is studied. The non‐linear equations are solved by means of the Newton‐Raphson method, which leads to the use of the differential reluctivity and permeability tensor. The proposed method is applied to a simple 2D model exhibiting rotational flux, viz the T‐joint of a three‐phase transformer.

Keywords

Citation

Gyselinck, J., Vandevelde, L., Melkebeek, J. and Dular, P. (2004), "Complementary two‐dimensional finite element formulations with inclusion of a vectorized Jiles‐Atherton model", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 23 No. 4, pp. 959-967. https://doi.org/10.1108/03321640410553382

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited

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