Singularity and corner effects in a boundary element model for a short, linearly magnetic conducting cylinder

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Abstract
An impedance boundary condition, boundary integral equation formulation is presented for the eddy currents induced in a magnetically linear conducting body having rotational symmetry. The treatment of kernel singularities and the representations of sharp edges are examined. A numerical treatment based on Chiba’s method is outlined. This method can be used to estimate correct values for the singular terms that can occur in the boundary integral equations. Two different representations of sharp edges are compared. The recommended representation is one in which well-defined normal directions are obtained everywhere on the conductor boundary. Numerical results are presented for the case of a short, conducting disk in a uniform, axially directed, time harmonic source field. It is shown that when the sharp edge is inadequately handled, the computed current density and power loss can be significantly in error.

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