Inclusion of a stress‐dependent Preisach model in 2D FE calculations

Abstract

Purpose

Mechanical stress can heavily affect the magnetic behaviour law in ferromagnetic materials. This paper, aims to take into account the effect of mechanical stress into a hystreresis model. This model is implemented in a finite element analysis code and tested in the case of a simple system.

Design/methodology/approach

A simple extension of the classical Preisach model is proposed, in which a function linked to the Preisach density is parameterized using the mechanical stress as a supplementary parameter. The methodology is based on experimental measurements for identifying the required function. As a first approach, a linear interpolation is used between the measurements in order to have a continuous evolution of the magneto‐mechanical behaviour. This model has been tested in the case of a steel sheet in which width is not constant in order to obtain a non‐uniform distribution of stress and magnetic flux density.

Findings

The model can predict the magneto‐mechanical behaviour with a good accuracy in the case of tensile stress. Implementation of the model in finite element analysis has shown that the model can predict the behaviour of steel sheet subject to a non‐uniform stress distribution.

Originality/value

This paper shows that a classical hysteresis model can be extended to take into account the magneto‐mechanical behaviour. This is useful for the design of electrical machines which are subject to non‐negligible mechanical stress.

Citation

Benabou, A., Vandenbossche, L., Gyselinck, J., Clenet, S., Dupré, L. and Dular, P. (2006), "Inclusion of a stress‐dependent Preisach model in 2D FE calculations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 1, pp. 81-90. https://doi.org/10.1108/03321640610634353