# Isotropic soft magnetic material: Hysteresis vector Jiles-Atherton

## Introduction

In Flux, it is possible to take into account the material remanence through a material « hysteresis » model. It allows having a better accuracy, especially for iron losses computation.

The concerned applications are linear actuator, actuator with closing airgap, torus etc.

## Hysteresis model in Flux

The model used in Flux is an isotropic, vector and static* Jiles-Atherton (J-A) model.

It is defined by 5 parameters entered by user. The parameters are presented in the table below.

The model is available in « magnetic transient » application in 2D and 3D.

Parameter | Physical property |
---|---|

Msat | Saturation magnetization |

a | Shape parameter for anhysteretic magnetization |

k | Pinning coefficient |

c | Reversible wall motion coefficient |

α | Mean field parameter representing inter-domain coupling |

Table 1. the 5 parameters of Jiles-Atherton model

## Vector J-A hysteretic model

The advantage of using vector model, comparing with the scalar model, is that it is possible to study applications with rotating flux.

The advantage of J-A model is that it is defined by only 5 parameters. Plus, the parameters are physical parameters of the material (in contrary to Preisach model, based on mathematical description).

## References

The model implemented in Flux was built by Johan Gyselinck and Ruth V. Sabariego. For more technical details on the model, please consult the following two articles:

- J. Gyselinck, P. Dular, N. Sadowski, J. Leite and J.P.A. Bastos, “Incorporation of a Jiles-Atherton vector hysteresis model in 2D FE magnetic field computations – Application of the Newton-Raphson method”, COMPEL, vol. 23, no. 3, pp. 685–693, 2004.
- J. Gyselinck, L. Vandevelde, J. Melkebeek and P. Dular, “Complementary two-dimensional finite element formulations with inclusion of a vectorized Jiles-Atherton model”, COMPEL, vol. 23, no. 4, pp. 959–967, 2004.