When the electromagnetic field depth of penetration is much smaller than the other dimensions of the conducting domain, the numerical solution of the eddy currents problem can have a small accuracy. This disadvantage is even more important in the case of transient or periodical regimes. The analytical method of expanding the solution in a series of space eigenfunctions eliminates this disadvantage but can only be easily applied for sufficiently simple geometries of the analyzed domain. The method is used in this paper in order to compute the electromagnetic field for prefabricated beams heated through eddy currents. The specific losses are then calculated as well as the global losses and the voltage of the excitation coil. Several comparisons are made with numerical solutions obtained with the finite element method

Keywords: Analytical method, Space eigenfunctions expansion, Eddy current problem