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Analytical Modeling of Bulk Superconductor in a Coil

Abstract : An analytical computation of the magnetic field distribution around a superconductor bulk pellet inside a coil is proposed. The superconductor is considered as a perfect diamagnetic material under zero-field cooling condition, i.e. the magnetic vector potential is equal to zero inside. The proposed analytical model is based on the resolution of Laplace's and Poisson's equations by the separation of variables method for each subdomain, i.e. coil winding and air-gap between pellet and coil. The boundary and continuity conditions between subdomains yield to the global solution. Magnetic vector potential, magnetic field distributions, and the force on the bulk pellet are computed by the analytical method. They are also compared with those obtained from finite element analysis and experiment. The other types of problem that can be solved with this method and the possible issues will be also presented.
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Contributor : Kévin Berger <>
Submitted on : Thursday, April 26, 2012 - 5:23:28 PM
Last modification on : Monday, October 5, 2020 - 11:56:03 AM


  • HAL Id : hal-00691645, version 1



Kévin Berger, Thierry Lubin, Smail Mezani, Julien Leclerc, Jean Lévêque. Analytical Modeling of Bulk Superconductor in a Coil. 3rd International Workshop on Numerical Modelling of High Temperature Superconductors, Apr 2012, Barcelone, Spain. p. 16. ⟨hal-00691645⟩



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