Copper losses evaluation in multi-strands conductors formal solution based on the magnetic potential

The paper describes the application of a brand new approach to evaluate magneto harmonic effects in round geometries. Largely employed regular modeling approaches such as Dowell or homogenization methods show important lacks of accuracy for 2D modeling. They are not able to reflect many physically existing phenomena like side effects and empty layers of conductors e.g, what require Finite Elements simulation. New proposed analytical model brings all FEM simulation capabilities and often outrivals them for high frequencies and computing performance. Any geometry of stacked conductors can be simulated and all electromagnetic values can be retrieved in 2D space (potential vector, current density, electric and magnetic field). The mathematical basics are reminded, then the extension for several conductors in 2D space without any meshing is presented as well as comparisons with Finite Element analysis results are shown.