Article (Scientific journals)
Numerical simulation of the magnetization of high-temperature superconductors: a 3D finite element method using a single time-step iteration
Lousberg, Grégory; Ausloos, Marcel; Geuzaine, Christophe et al.
2009In Superconductor Science and Technology, 22, p. 055005
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Abstract :
[en] In this paper, we report progress towards a 3D finite element model for the magnetization of a high-temperature superconductor (HTS): we suggest a method that takes into account a power law conductivity and demagnetization effects, while neglecting the effects associated with currents that are not perpendicular to the local magnetic induction. We consider samples that are subjected to a uniform magnetic field varying linearly with time. Their magnetization is calculated by means of a weak formulation in the magnetostatic approximation of the Maxwell equations (A–φ formulation). An implicit method is used for the temporal resolution (backward Euler scheme) and is solved with the open source solver GetDP. Fixed point iterations are used to deal with the power law conductivity of HTS. The finite element formulation is validated for an HTS tube with large n value by comparing with results obtained with other well-established methods. We show that carrying out the calculations with a single time-step (as opposed to many small time-steps) produces results with excellent accuracy in a drastically reduced simulation time. The numerical method is extended to the study of the trapped magnetization of cylinders that are drilled with different arrays of columnar holes arranged parallel to the cylinder axis.
Disciplines :
Electrical & electronics engineering
Physics
Author, co-author :
Lousberg, Grégory ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Ausloos, Marcel ;  Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Geuzaine, Christophe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Dular, Patrick ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Vanderbemden, Philippe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Capteurs et systèmes de mesures électriques
Vanderheyden, Benoît  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Language :
English
Title :
Numerical simulation of the magnetization of high-temperature superconductors: a 3D finite element method using a single time-step iteration
Publication date :
May 2009
Journal title :
Superconductor Science and Technology
ISSN :
0953-2048
eISSN :
1361-6668
Publisher :
Institute of Physics, Bristol, United Kingdom
Volume :
22
Pages :
055005
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 29 June 2009

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