This paper concerns the modeling of eddy current losses in conductive materials in the\nvicinity of a high-frequency transformer; more specifically, in two-dimensional problems where a high\nratio between the object dimensions and the skin-depth exists. The analysis is performed using the\nSpectral Element Method (SEM), where high order Legendreâ??Gaussâ??Lobatto polynomials are applied\nto increase the accuracy of the results with respect to the Finite Element Method (FEM). A convergence\nanalysis is performed on a two-dimensional benchmark system, for both the SEM and FEM. The\nbenchmark system consists of a high-frequency transformer confined by a conductive cylinder and is\nfree of complex geometrical shapes. Two different objectives are investigated. First, the discretizations\nat which the relative error with respect to a reference solution is minimized are compared. Second,\nthe discretizations at which the trade-off between computational effort and accuracy is optimized are\ncompared. The results indicated that by applying the SEM to the two-dimensional benchmark system,\na higher accuracy per degree of freedom and significantly lower computation time are obtained with\nrespect to the FEM. Therefore, the SEM is proven to be particularly useful for this type of problem.
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