Determination of wire resistance caused by skin effect using modified 3D finite element model

The article introduces methodology of lowering time and computational requirements for complex 3D finite element analysis. It is based on approximation of winding cross section with a proper polygonal shape which significantly reduces the number of mesh elements and eases the computational convergence. The attention is paid mainly to the case of single straight-going wire for better understanding of the skin effect influences when the original circular cross section is approximated with different polygonal shapes. As the proposed modification alters the cross-sectional area of the wire and therefore changes its resistance value, the study also introduces the correction factor used to obtain the equivalent resistance having the same value that would be obtained by analysing the original geometry. The study also compares the proposed method to other approaches available in the literature.