ORBi: Lousberg Grégory - Numerical simulation of the magnetization of high-temperature superconductors: a 3D finite element method using a single time-step iteration

Reference : Numerical simulation of the magnetization of high-temperature superconductors: a 3D fini...


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/2268/15577

Title :	Numerical simulation of the magnetization of high-temperature superconductors: a 3D finite element method using a single time-step iteration
Language :	English
Author, co-author :	Lousberg, Grégory [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes >]
	Ausloos, Marcel [Université de Liège - ULg > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S. >]
	Geuzaine, Christophe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
	Dular, Patrick [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
	Vanderbemden, Philippe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Capteurs et systèmes de mesures électriques >]
	Vanderheyden, Benoît [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes >]
Publication date :	May-2009
Journal title :	Superconductor Science and Technology
Publisher :	Institute of Physics
Volume :	22
Pages :	055005
Peer reviewed :	Yes (verified by ORBi)
Audience :	International
ISSN :	0953-2048
City :	Bristol
Country :	United Kingdom
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.
Permalink :	http://hdl.handle.net/2268/15577

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	FEM_HTS_Lousberg_Revised.pdf	No commentary	Author preprint	491.11 kB	View/Open

All documents in ORBi are protected by a user license.

Dspace v1.5