On the energy-based variational model for vector magnetic hysteresis
File(s)IEEE_ver2_17_05_2016.pdf (14.85 MB)
Accepted version
Author(s)
Barrett, JW
Prigozhin, L
Sokolovsky, V
Zirka, SE
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.
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.
Date Issued
2016-08-10
Date Acceptance
2016-08-05
Citation
IEEE Transactions on Magnetics, 2016, 52 (12)
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.
Subjects
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