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M. Nierla, M. Loeffler, M. Kaltenbacher, S. Rupitsch:
"Comparison of different vector Preisach models for the simulation of ferromagnetic materials";
COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 38 (2019), 5; 1696 - 1710.

The numerical computation of magnetization processes in moving and rotating assemblies
requires the usage of vector hysteresis models. A commonly used model is the so-called Mayergoyz vector
Preisach model, which applies the scalar Preisach model into multiple angles of the halfspace. The usage of
several scalar models, which are optionally weighted differently, enables the description of isotropic as well as
anisotropic materials. The flexibility is achieved, however, at the cost of multiple scalar model evaluations.
For solely isotropic materials, two vector Preisach models, based on an extra rotational operator, might offer a lightweight alternative in terms of evaluation cost. The study aims at comparing the three mentioned models with respect to computational efficiency and practical applicability.

Magnetic hysteresis, Everett function, Vector Preisach model, Material modelling, Computational electromagnetics, Vector vibrating sample magnetometer, Vector hysteresis

http://dx.doi.org/10.1108/COMPEL-12-2018-0494

https://publik.tuwien.ac.at/files/publik_282259.pdf