Eur. Phys. J. Appl. Phys. (2013) 64: 24513
https://doi.org/10.1051/epjap/2013120413

A simple integral formulation for the modeling of thin conductive shells^*

¹ Department of Electric Power Systems, School of Electrical Engineering, Hanoi University of Science and Technology, Dai Co Viet Road, 1000 Hanoi, Vietnam
² Grenoble Electrical Engineering Laboratory, University of Grenoble Grenoble-INP/Université Joseph Fourier/CNRS UMR 5269, 11 rue des Mathématiques, BP 46, 38402 Saint-Martin-d’Héres Cedex, France
³ Université de Lyon, AMPERE, CNRS UMR 5005, École Centrale de Lyon, 38 av. Guy de Collongue, 69134 Ecully Cedex, France

^a e-mail: leductunghtdp@yahoo.fr

Received: 28 September 2012
Revised: 17 March 2013
Accepted: 23 April 2013
Published online: 6 November 2013

Abstract

In order to model thin conductive non-magnetic shells, an original surface integral formulation is proposed. The method is based on a surface impedance condition which takes into account the field variation through depth due to skin effect. It is general and enables the modeling of various problems whatever their skin depth and avoiding the meshing of the air region. The formulation is compared with another integral formulation recently proposed by authors and is validated thanks to an axisymmetric finite-element method (FEM). Advantages and drawbacks of this new formulation are discussed.