Numerical study of the magnetic skin effect: Efficient parameterization of 2D surface-impedance solutions for linear ferromagnetic materials - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Numerical Modelling: Electronic Networks, Devices and Fields Année : 2022

Numerical study of the magnetic skin effect: Efficient parameterization of 2D surface-impedance solutions for linear ferromagnetic materials

Résumé

This work presents an efficient method based on asymptotic models in order to solve numerically eddy current problems in a bi-dimensional setting with a high contrast of linear relative magnetic permeability mu_r between a conductor and a dielectric subdomain. We describe a magnetic skin effect by deriving a multiscale expansion for the magnetic potential in power series of a small parameter delta which represents the skin depth. We make explicit the first asymptotics up to the order three. Some numerical results based on the finite element method will be presented to illustrate the magnetic skin effect and to validate the performance of the proposed asymptotic models in the dielectric medium. We confirm that the proposed asymptotics provide reduced computational costs for a wide range of the physical parameters introduced in our problem.
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Dates et versions

hal-03334437 , version 1 (03-09-2021)

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Citer

Dima Abou El Nasser El Yafi, Victor Péron, Ronan Perrussel, Laurent Krähenbühl. Numerical study of the magnetic skin effect: Efficient parameterization of 2D surface-impedance solutions for linear ferromagnetic materials. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2022, ⟨10.1002/jnm.3051⟩. ⟨hal-03334437⟩
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