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The field K is discretised in the edge element space by: X K¼ K a va ð16Þ n[D with Ka the circulation of K on the edge a. The distribution of K can be determined by an automatic procedure from a vector N already calculated in the facet element space (Le Menach, 2000). Other methods can be used to determine the vector K (Dular, 1997; Meunier, 1998). In the T-KI-V formulation, the current can be naturally applied by fixing the value of I. The term KI then becomes a source term in equations (14) and (15).

Dular, P. (2000), “Dual magnetodynamic formulations and their source fields associated with massive and stranded inductor”, IEEE Transactions on Magnetics, Vol. 36 No. 8, pp. 1293-9. Le Menach, Y. (2000), “Numerical model to discretize source fields in the 3D finite element method”, IEEE Transactions on Magnetics, Vol. 36 No. 4, pp. 676-9. Meunier, G. (1998), “Computation of coupled problem of 3D eddy current and electric circuit by using T0-T-f formulation”, IEEE Transactions on Magnetics, Vol.

The crack width e (Figure 1) is small compared to its other dimensions and skin depth d – constitutes a major difficulty for the simulation. It is commonly assumed that a surface crack is “ideal”: being infinitesimally thin and allowing no current to flow across it. Then, Bowler (1994) showed that the crack is equivalent to a current dipole surface of density p ¼ pn; where n is the normal of the crack (Figure 1). The density p is the solution of an integral equation with an hypersingular kernel on the crack surface related to the incident current.

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