Representation of anisotropic magnetic characteristic observed in a non-oriented silicon steel sheet

B Upadhaya,A Belahcen,P Handgruber,P Rasilo,L Perkkiö,A Arkkio

doi:10.1063/5.0009554

B Upadhaya, A Belahcen + Show 4 more

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https://doi.org/10.1063/5.0009554

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Abstract

This article presents a modified Jiles–Atherton hysteresis model for a weakly anisotropic non-oriented silicon steel sheet. In a toroidal inductor, the magnetic flux density can point toward any direction compared to the sheet orientation, and the hysteresis model should take this into account. We identify the model parameters independently for unidirectional alternating B(H)-characteristics in seven different directions. Then, we construct an anisotropic hysteresis model, where the model parameters can depend on the magnitude and direction of the applied magnetic flux density. We demonstrate that the parameters identified in the rolling and transverse directions of the silicon steel sheet (M400-50A) are sufficient to describe the hysteresis losses in other directions.

Highlights

In this article, we aim to model the anisotropic magnetic behavior of a non-oriented (NO) silicon steel sheet by a modified Jiles– Atherton (J–A) hysteresis model
The magnetic flux density can point toward any direction compared to the sheet orientation, and the hysteresis model should take this into account
We demonstrate that the parameters identified in the rolling and transverse directions of the silicon steel sheet (M400-50A) are sufficient to describe the hysteresis losses in other directions

Summary

Introduction

We aim to model the anisotropic magnetic behavior of a non-oriented (NO) silicon steel sheet by a modified Jiles– Atherton (J–A) hysteresis model. NO silicon steel is widely used as a magnetic core material in toroidal inductors, rotating electrical machines, and several other electromagnetic devices, and several studies confirm that the material presents a significant level of magnetic anisotropy.. The anisotropy in the core affects the performance of an electromagnetic device, so it is essential to account for this effect in the magnetic hysteresis model.. Compared with the Preisach type hysteresis models, the J–A model has a simple mathematical formulation. Non-symmetric minor loops are not exactly closed.. Non-symmetric minor loops are not exactly closed.13 It is not well understood if the J–A model can represent both the alternating and the rotational magnetic field variations simultaneously.. If non-closed minor loops and a rotational magnetic field are not a concern, the B(H)-characteristics can be modeled efficiently with the J–A model.. Non-symmetric minor loops are not exactly closed. In addition, it is not well understood if the J–A model can represent both the alternating and the rotational magnetic field variations simultaneously. if non-closed minor loops and a rotational magnetic field are not a concern, the B(H)-characteristics can be modeled efficiently with the J–A model. the model has been found to be suitable in studying the effect of external mechanical stress on the B(H)-characteristics of a soft-magnetic material.

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