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Modelling anisotropy in non-oriented electrical steel sheet using vector Jiles–Atherton model

Brijesh Upadhaya (Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland)
Floran Martin (Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland)
Paavo Rasilo (Department of Electrical Engineering, Tampere University of Technology, Tampere, Finland and Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland)
Paul Handgruber (Institute of Fundamentals and Theory in Electrical Engineering (IGTE), Graz University of Technology, Graz, Austria)
Anouar Belahcen (Department of Electrical Engineering and Automation, Aalto University, Aalto, Finland and Department of Electrical Power Engineering and Mechatronics, Tallinn University of Technology, Tallinn, Estonia)
Antero Arkkio (Department of Electrical Engineering and Automation, Aalto University, Espoo, Finalnd)

Abstract

Purpose

Non-oriented electrical steel presents anisotropic behaviour. Modelling such anisotropic behaviour has become a necessity for accurate design of electrical machines. The main aim of this study is to model the magnetic anisotropy in the non-oriented electrical steel sheet of grade M400-50A using a phenomenological hysteresis model.

Design/methodology/approach

The well-known phenomenological vector Jiles–Atherton hysteresis model is modified to correctly model the typical anisotropic behaviour of the non-oriented electrical steel sheet, which is not described correctly by the original vector Jiles–Atherton model. The modification to the vector model is implemented through the anhysteretic magnetization. Instead of the commonly used classical Langevin function, the authors introduced 2D bi-cubic spline to represent the anhysteretic magnetization for modelling the magnetic anisotropy.

Findings

The proposed model is found to yield good agreement with the measurement data. Comparisons are done between the original vector model and the proposed model. Another comparison is also made between the results obtained considering two different modifications to the anhysteretic magnetization.

Originality/value

The paper presents an original method to model the anhysteretic magnetization based on projections of the anhysteretic magnetization in the principal axis, and apply such modification to the vector Jiles–Atherton model to account for the magnetic anisotropy. The replacement of the classical Langevin function with the spline resulted in better fitting. The proposed model could be used in the numerical analysis of magnetic field in an electrical application.

Keywords

Acknowledgements

The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement n° 339380. P. Rasilo and F. Martin gratefully acknowledge the support of the Academy of Finland with the grants n° 274593 and n° 13287395.

Citation

Upadhaya, B., Martin, F., Rasilo, P., Handgruber, P., Belahcen, A. and Arkkio, A. (2017), "Modelling anisotropy in non-oriented electrical steel sheet using vector Jiles–Atherton model", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 36 No. 3, pp. 764-773. https://doi.org/10.1108/COMPEL-09-2016-0399

Publisher

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Emerald Publishing Limited

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