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Asymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem

hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorDAUGE, Monique
hal.structure.identifierApplied and Computational Electromagnetics [Liège] [ACE]
dc.contributor.authorDULAR, Patrick
hal.structure.identifierAmpère, Département Méthodes pour l'Ingénierie des Systèmes [MIS]
dc.contributor.authorKRÄHENBÜHL, Laurent
hal.structure.identifierAdvanced 3D Numerical Modeling in Geophysics [Magique 3D]
hal.structure.identifierLaboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
dc.contributor.authorPÉRON, Victor
hal.structure.identifierGroupe de Recherche en Electromagnétisme [LAPLACE-GRE]
dc.contributor.authorPERRUSSEL, Ronan
hal.structure.identifierModélisation, contrôle et calcul [MC2]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPOIGNARD, Clair
dc.date.issued2012-07-08
dc.date.conference2012-07
dc.description.abstractEnAccurate knowledge of eddy currents is of great interest for the design of many electromagnetic devices such as used in electrothermics. Taking advantage of the fast decrease of the electromagnetic field inside the conductor, impedance conditions are usually considered to reduce the computational domain. However, whereas impedance conditions can be derived up to the required precision for any conductor with a smooth surface, these conditions are not valid near corners. Few authors have proposed heuristic impedance modifications close to the corners [1, 2] but these modifications are neither satisfactory nor proved. In particular in [2], the modified impedance seems to blow up near the corner, which does not seem valid for non-magnetic materials with finite conductivity as presented in [3]. In the present work, we do not consider the derivation of the impedance condition, which is an asymptotic expansion in high frequency (or high conductivity). We are rather interested in the description of the magnetic potential in the vicinity of the corner, considering the conductivity, as well as the frequency as given parameters. We emphasize that these considerations will be helpful to understanding the behavior of the impedance condition near corner singularities that will be considered in a forthcoming paper. [1] E.M. Deeley. Surface impedance near edges and corners in three-dimensional media. IEEE Trans. on Mag., 26(2):712-714, 1990. [2] S. Yuferev, L. Proekt, and N. Ida. Surface impedance boundary conditions near corner and edges: Rigorous consideration. IEEE Trans. on Mag., 37(5):3465-3468, 2001. [3] F. Buret, M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard, and D. Voyer. Eddy currents and corner singularities. IEEE Transactions on Magnetics 48, 2 (2012) 679-682
dc.language.isoen
dc.title.enAsymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Energie électrique
bordeaux.conference.titleWCCM 2012
bordeaux.countryBR
bordeaux.conference.citySão Paulo
bordeaux.peerReviewedoui
hal.identifierhal-00768026
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00768026v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-07-08&rft.au=DAUGE,%20Monique&DULAR,%20Patrick&KR%C3%84HENB%C3%9CHL,%20Laurent&P%C3%89RON,%20Victor&PERRUSSEL,%20Ronan&rft.genre=unknown


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