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Comparison between differential and variational forms of an energy-based hysteresis model
Jacques, Kevin; Geuzaine, Christophe; Henrotte, François et al.
2016In 2016 IEEE International Energy Conference (ENERGYCON)
Peer reviewed
 

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Keywords :
ferromagnetism;finite element analysis;magnetic hysteresis;nonlinear differential equations;plasticity;variational techniques;approximated explicit solution;differential equation;differential forms;energy balance;energy-based ferromagnetic hysteresis model;finite element computations;magnetic material;nonlinear differential equation;plasticity;variational formulation;Computational modeling;Magnetic hysteresis;Magnetic separation;Mathematical model;Reactive power;Saturation magnetization;Tensile stress;Finite element analysis;Magnetic hysteresis
Abstract :
[en] This paper compares two implementations of an energy-based ferromagnetic hysteresis model for finite element computations. The first implementation is an approximated explicit solution of the non-linear differential equation that is obtained from the energy balance of the magnetic material. The second implementation borrows from the theory of plasticity a variational formulation to solve exactly this differential equation. Both implementations are quantitatively compared in terms of accuracy and computational cost. The differential approach turns out to be much faster than the variational one and to give in most situations a result very close to that of the exact variational approach.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Jacques, Kevin ;  Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe  ;  Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Henrotte, François  ;  Université Catholique de Louvain - UCL > Institute of Mechanics, Materials and Civil Engineering (IMMC) > Applied mechanics and mathematics
Gyselinck, Johan;  Université Libre de Bruxelles - ULB > BEAMS Department
Language :
English
Title :
Comparison between differential and variational forms of an energy-based hysteresis model
Publication date :
18 July 2016
Event name :
IEEE International Energy Conference (ENERGYCON)
Event place :
Leuven, Belgium
Event date :
from 04-04-2016 to 08-04-2016
Audience :
International
Main work title :
2016 IEEE International Energy Conference (ENERGYCON)
Pages :
1-6
Peer reviewed :
Peer reviewed
Name of the research project :
FEDO (Free software for Electric Drive Optimization)
Funders :
BELSPO - Belgian Science Policy Office [BE]
Walloon region [BE]
Funding text :
This work was supported in part by the Belgian Science Policy under grant IAP P7/02 and the Walloon Region of Belgium under grant RW-1217703 (WBGreen FEDO).
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