Work

On Forward and Inverse Energy-Based Magnetic Vector Hysteresis Operators

Year: 2025

Type: article

Abstract: Incremental models for magnetic vector hysteresis have been developed in previous works in accordance with basic principles of thermodynamics. In this article, we derive an equivalent representation of the associated hysteresis operator in terms of a co-energy function which is useful for magnetic field computations based on a scalar potential. Using the convex duality, we further define the corresponding energy functional and the associated inverse hysteresis operator which is required for computations based on the vector potential. The equivalence of the two representations with the energy-based hysteresis models proposed in earlier works is demonstrated and numerical results for some typical test problems are presented obtained by finite element simulation of corresponding scalar and vector potential formulations.

Source: IEEE Transactions on Magnetics

DOI: 10.1109/tmag.2025.3544507

Authors: Herbert Egger, Felix Engertsberger, Lukas Domenig, Klaus Roppert, Manfred Kaltenbacher

Institutions: Johannes Kepler University of Linz, Graz University of Technology

Language: English

Topic: Magnetic Properties and Applications

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,645

Funders: Deutsche Forschungsgemeinschaft, Austrian Science Fund