A 3D integral method for modelling 3D effects in coils used in inductive processes

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Gagnoud, Annie^a

Affiliations: [a] CNRS – EPM, ENSHMG BP 95, 1340 Rue de la Piscine 38402 Saint Martin d'Hères Cedex, France. Tel.: +33 4 76 82 52 52; Fax: +33 4 76 82 52 49; E-mail: [email protected]

Abstract: A 3D numerical method has been developed to model the coils used in inductive processes. The method is based on Ohm's law and Biot and Savart's law and can be used to solve eddy current problems at mid-range or high frequencies. The unknowns are the current density and electrical potential. The formulation involves singular integrals and produces a fully linear system, as in the boundary integral method. For these frequencies, only the surface of the conductors needs to be meshed. To obtain a general approach, the interpolation, derivation and integration techniques commonly used in the finite element method are employed. A number of examples show the interest of this method.

Keywords: eddy current, 3D numerical method, integral method, electric impedance

DOI: 10.3233/JAE-2004-638

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 613-617, 2004