A t₀‐ϕ surface impedance formulation for multiply connected conductors

Abstract

Purpose

To model magneto‐harmonic devices including solid conductors with holes when the skin depth is very small.

Design/methodology/approach

The 3D finite element magnetic scalar potential formulation combined with the surface impedance condition approximation is used. It allows the modelling of thin skin depth effect at low cost.

Findings

The paper shows how to use surface impedance condition for solid conductors with holes, when using the magnetic scalar potential. Specific equations must be added to respect Ampere's theorem. The paper establishes these equations and the coupling with the finite element formulation. The final system of equations is symmetric.

Research limitations/implications

The formulation allows to treat linear material in the magneto‐harmonic assumption.

Originality/value

The use of surface impedance condition with the 3D finite element magnetic scalar potential formulation is well known. The originality is to take into account holes (multiply connected conductors).

Citation

Meunier, G., Le Floch, Y. and Guérin, C. (2008), "A t₀‐ϕ surface impedance formulation for multiply connected conductors", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 27 No. 1, pp. 64-71. https://doi.org/10.1108/03321640810836645