An energy‐based vector hysteresis model for ferromagnetic materials

Abstract

Purpose

Proposes a new quasi‐static vector hysteresis model based on an energy approach, where dissipation is represented by a friction‐like force.

Design/methodology/approach

The start point is the local energy balance of the ferromagnetic material. Dissipation is represented by a friction‐like force, which derives from a non‐differentiable convex functional. Several elementary hysteresis cells can be combined, in order to increase the number of free parameters in the model, and therefore improve the accuracy.

Findings

A friction‐like force is a good way to represent magnetic dissipation at the macroscopic level. The proposed method is easy to implement and non‐differentiability amounts in this case to a simple “if” statement.

Research limitations/implications

The next steps are the extension to dynamic hysteresis and the in‐depth analysis of the identification process, which is only sketched in this paper.

Practical implications

This vector model, which is based on a reasonable phenomenological description of local magnetic dissipation, enables the numerical analysis of rotational hysteresis losses on a sound theoretical basis.

Originality/value

It proposes a simple, general purpose macroscopic model of hysteresis that is intrinsically a vector one, and not the vectorization of a scalar model.

Citation

Henrotte, F., Nicolet, A. and Hameyer, K. (2006), "An energy‐based vector hysteresis model for ferromagnetic materials", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 1, pp. 71-80. https://doi.org/10.1108/03321640610634344