An energy‐based vector hysteresis model for ferromagnetic materials
- 1 January 2006
- journal article
- Published by Emerald in COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
- Vol. 25 (1), 71-80
- https://doi.org/10.1108/03321640610634344
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.Keywords
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