1. Finite-Element method modeling of superconductors : from 2-D to 3-D
- Author
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S. Stavrev, Bertrand Dutoit, Y. Le Floch, Gérard Meunier, Francesco Grilli, Pascal Tixador, I. Klutsch, M. Costa-Bouzo, E. Vinot, Garcia, Sylvie, Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratoire de Génie Electrique de Grenoble (G2ELab), Université Joseph Fourier - Grenoble 1 (UJF)-Centre National de la Recherche Scientifique (CNRS)-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Centre de Recherches sur les Très Basses Températures (CRTBT), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS), Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique de Grenoble (INPG)-Université Joseph Fourier - Grenoble 1 (UJF)
- Subjects
010302 applied physics ,Physics ,Superconductivity ,Condensed matter physics ,Computer simulation ,[SPI.NRJ]Engineering Sciences [physics]/Electric power ,Mechanics ,Condensed Matter Physics ,01 natural sciences ,Finite element method ,Electronic, Optical and Magnetic Materials ,Magnetic field ,Electrical resistivity and conductivity ,0103 physical sciences ,Electrical and Electronic Engineering ,010306 general physics ,Type-II superconductor ,Current density ,Electrical conductor ,ComputingMilieux_MISCELLANEOUS ,[SPI.NRJ] Engineering Sciences [physics]/Electric power - Abstract
A three-dimensional (3-D) numerical modeling technique for solving problems involving superconducting materials is presented. The model is implemented in finite-element method software and is based on a recently developed 3-D formulation for general electromagnetic problems with solid conductors. It has been adapted for modeling of superconductors with nonlinear resistivity in 3-D, characterized by a power-law E-J relation. It has first been compared with an existing and verified two-dimensional (2-D) model: Compared are the current density distribution inside the conductors and the self-field ac losses for different applied transport currents. Second, the model has been tested for computing the current distribution with typical 3-D geometries, such as corner-shaped and twisted superconductors. Finally, it has been used with two superconducting filaments in the presence of external magnetic field for verifying the existence of coupling currents. This effect deals with the finite length of the conductors and cannot be taken into account by 2-D models.
- Published
- 2005