A theory of thin layers in electrical engineering; application to eddy-current calculation inside a shell using the BIE software Phi3D

Laurent Krähenbühl (1)

1 LEL - Laboratoire d'Electrotechnique de Lyon

During last years, several numerical formulations have been developped by us to modelize physical problems like: conducting film effects over the surface of insulators (pollution), high frequency eddy-currents, earth field effect on the hull of a ship. The physical effects being at stake are completly different, but in each of these examples, they originate from a region thin in regard with the other geometrical dimensions. An efficient numerical approach consists on using a surfacic representation with special boundary conditions expressing the solution inside the thin region.From the synthesis of these models proposed in past times, we built a theory of thin shells which may be used to solve novel field problems. As an example, we apply that theory to get the boundary conditions for eddy currents flowing inside a shell of thickness e (roughly: e = 0.1 delta to 10 delta; delta is the skin depth). The practical applications may concern the optimisation of the induction heating of pans (french "art culinaire") or the computation of losses into the carcase of an electrical engine.

Mots clés: thin shell formulations; Eddy current modeling

Domaines: Electromagnétisme; Energie électrique

Laurent Krähenbühl. A theory of thin layers in electrical engineering; application to eddy-current calculation inside a shell using the BIE software Phi3D. 4th IGTE, Oct 1990, Graz, Austria. pp.101-106. ⟨hal-01745462⟩