Eur. Phys. J. AP 14, 63-67 (2001)
https://doi.org/10.1051/epjap:2001139

3D modeling of thin wires interacting with thin plates: Extracting the singularity due to the loop wire self inductance^*

¹ Laboratoire d'Électrotechnique de Grenoble, ENSIEG (INPG-UJF, UMR 5529 du CNRS), BP 46, 38402 Saint-Martin d'Hères Cedex, France
² EDF, Division R&D, 92141 Clamart Cedex, France

Corresponding author: abakar@edf.fr

Received: 11 May 2000
Received: 30 January 2001
Accepted: 30 January 2001
Published online: 15 April 2001

Abstract

The 3D modeling of thin structures by the finite element method leads to a high number of elements or elements of bad quality, which yields to badly conditioned problems. For the thin plates, shell formulations have been used by several authors. In the case of thin wires, we use a model of unmeshed conductor in which the current is unknown. Physics characteristics: resistance, inductance are integrated in the circuit equation. This article presents a method that extracts the inductance computation which introduced a singularity in the case of thin wires.