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On the energy-based variational model for vector magnetic hysteresis

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Title: On the energy-based variational model for vector magnetic hysteresis
Authors: Barrett, JW
Prigozhin, L
Sokolovsky, V
Zirka, SE
Item Type: Journal Article
Abstract: We consider the quasi-static magnetic hysteresis model based on a dry-friction like representation of magnetization. The model has a consistent energy interpretation, is intrinsically vectorial, and ensures a direct calculation of the stored and dissipated energies at any moment in time, and hence not only on the completion of a closed hysteresis loop. We discuss the variational formulation of this model and derive an efficient numerical scheme, avoiding the usually employed approximation which can be inaccurate in the vectorial case. The parameters of this model for a nonoriented steel are identified using a set of first order reversal curves. Finally, the model is incorporated as a local constitutive relation into a 2D finite element simulation accounting for both the magnetic hysteresis and the eddy current.
Issue Date: 10-Aug-2016
Date of Acceptance: 5-Aug-2016
URI: http://hdl.handle.net/10044/1/38759
DOI: https://dx.doi.org/10.1109/TMAG.2016.2599143
ISSN: 1941-0069
Publisher: IEEE
Journal / Book Title: IEEE Transactions on Magnetics
Volume: 52
Issue: 12
Copyright Statement: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Keywords: Science & Technology
Technology
Physical Sciences
Engineering, Electrical & Electronic
Physics, Applied
Engineering
Physics
Energy-based model
finite-element simulation
variational formulation
vector magnetic hysteresis
FERROMAGNETIC HYSTERESIS
SUPERCONDUCTIVITY
MEDIA
02 Physical Sciences
09 Engineering
Applied Physics
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences