A non linear model for surface conduction

Zié Yeo (1) , François Buret (2, 1) , Laurent Krähenbühl (1, 2) , Philippe Auriol (1, 2)

1 CEGELY - Centre de génie électrique de Lyon
2 AMPERE - Ampère

A non linear conducting layer, at the surface of an insulating material, is modeled by a surface with a conductivity which depends on the tangential field at the interface. The model, formulated for 2D and axial symmetric problems, was embedded in a field computation software based on boundary elements method. The non linear equations on the conducting surface are discretised with one dimensional finite elements. The results agree with the solution of the differential equation which governs the potential in a simplified configuration.

Mots clés: Boundary Integral Equation Method (BIEM); electrostatics; surface conduction; finite elements method (FEM); non linear; thin layer

Domaines: Energie électrique; Electromagnétisme; Modélisation et simulation

Zié Yeo, François Buret, Laurent Krähenbühl, Philippe Auriol. A non linear model for surface conduction. IEEE Transactions on Magnetics, 1998, 34 (5 Part 1), pp.2617-2620. ⟨hal-00140670⟩