Efficient delta-parametrization of 2D Surface-Impedance solutions

Laurent Krähenbühl (1) , Patrick Dular (2) , Victor Péron (3) , Ronan Perrussel (4) , Ruth Sabariego (5) , Clair Poignard (6)

1 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
2 ACE - Applied and Computational Electromagnetics [Liège]
3 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
4 LAPLACE-GRE - Groupe de Recherche en Electromagnétisme
5 KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven
6 MONC - Modélisation Mathématique pour l'Oncologie

The impedance boundary condition methods (IBCs) are among the most efficient for solving time-harmonic eddy-current problems with a small skin depth (delta). When the solution is required for a wide range of frequencies (or material conductivities) the standard approach is not efficient, because it leads to the solution of a finite element (FE) complex-valued problem for each frequency (or conductivity). Moreover, the error of IBC grows much too quickly with delta. As an extension of previous work, we propose here in more details a possible method of parameterization in delta of the 2D small-delta eddy-currents problem. This numerically efficient method gives a very good precision for all the “difficult” frequencies, that means from the frequency corresponding to the last good solution obtainable by meshing the conductor, to the infinite limit (perfect conductor solution).

Mots clés: Surface impedance; parametric solutions; small skin depth

Domaines: Energie électrique; Bibliothèque électronique [cs.DL]

Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Ruth Sabariego, et al.. Efficient delta-parametrization of 2D Surface-Impedance solutions. Compumag 2015, Jun 2015, Montréal, Canada. pp.442. ⟨hal-01174983⟩