Boundary element method for 3D conductive thin layer in eddy current problems
| Autor: | Victor Péron, Olivier Chadebec, Mohammad Issa, Jean René Poirier, Ronan Perrussel |
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| Přispěvatelé: | LAboratoire PLasma et Conversion d'Energie (LAPLACE), Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT), Groupe de Recherches en Electrodynamique (LAPLACE-GREM3), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Laboratoire de Génie Electrique de Grenoble (G2ELab), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), G2Elab-Modèles, Méthodes et Méthodologies Appliqués au Génie Electrique (G2Elab-MAGE), Laboratoire de Génie Electrique de Grenoble (G2ELab ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Advanced 3D Numerical Modeling in Geophysics (Magique 3D), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Groupe de Recherche en Electromagnétisme (LAPLACE-GRE), Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Materials science
Discretization System of linear equations 01 natural sciences law.invention Thin Conducting Layers law 0103 physical sciences Eddy current [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 0101 mathematics Electrical and Electronic Engineering Electrical impedance Boundary element method Electrical conductor 010302 applied physics Transmission Conditions Thin layers Eddy Current Problems Eddy currents Boundary Element Method Applied Mathematics Mathematical analysis Computer Science Applications 010101 applied mathematics Computational Theory and Mathematics Electromagnetic shielding Applied electromagnetism [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2019, 38 (2), pp.502-521. ⟨10.1108/COMPEL-09-2018-0348⟩ COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2019, 38 (2), pp.502-521. ⟨10.1108/COMPEL-09-2018-0348⟩ |
| ISSN: | 0332-1649 |
| Popis: | Purpose Thin conducting sheets are used in many electric and electronic devices. Solving numerically the eddy current problems in presence of these thin conductive sheets requires a very fine mesh which leads to a large system of equations, and it becomes more problematic in case of higher frequencies. The purpose of this paper is to show the numerical pertinence of equivalent models for 3D eddy current problems with a conductive thin layer of small thickness e based on the replacement of the thin layer by its mid-surface with equivalent transmission conditions that satisfy the shielding purpose, and by using an efficient discretization using the boundary element method (BEM) to reduce the computational work. Design/methodology/approach These models are solved numerically using the BEM and some numerical experiments are performed to assess the accuracy of the proposed models. The results are validated by comparison with an analytical solution and a numerical solution by the commercial software Comsol. Findings The error between the equivalent models and analytical and numerical solutions confirms the theoretical approach. In addition to this accuracy, the computational work is reduced by considering a discretization method that requires only a surface mesh. Originality/value Based on a hybrid formulation, the authors present briefly a formal derivation of impedance transmission conditions for 3D thin layers in eddy current problems where non-conductive materials are considered in the interior and the exterior domain of the sheet. BEM is adopted to discretize the problem as there is no need for volume discretization. |
| Databáze: | OpenAIRE |
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