A modified elliptic model of anisotropy in nonlinear magnetic materials

Abstract

Purpose

Grain‐oriented steel has a distinctly anisotropic and nonlinear behaviour. Only in rare cases is the magnetisation curve known for directions other than the principal ones. The paper aims at providing a model to obtain these curves for any direction if those in the easy and hard directions are only given.

Design/methodology/approach

The well‐known elliptic model is modified in order to correctly mimic the typical behaviour of grain‐oriented steel which is not described correctly by the original elliptic model. An additional condition is introduced to fix the angle between the flux density and magnetic field intensity.

Findings

The model is found to yield good agreement with measurements in case of a special material for which measured curves for intermediate angles are available.

Research limitations/implications

Further research is necessary to establish whether the model is applicable to other materials.

Originality/value

The new model can be used in numerical analyses of devices comprising saturated grain‐oriented steel material if the magnetisation curves are given in the principal directions.

Citation

Bíró, O., Außerhofer, S., Preis, K. and Chen, Y. (2010), "A modified elliptic model of anisotropy in nonlinear magnetic materials", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 29 No. 6, pp. 1482-1492. https://doi.org/10.1108/03321641011078553