Modelling of three-dimensional nonlinear eddy current problems with conductors in motion by an integral formulation

In this paper an integral formulation for the analysis of electromagnetic fields distribution in systems with bodies in motion is presented. This formulation is based on the subdivision of conductive and ferromagnetic regions in elementary volumes in which a uniform distribution of current density J and magnetization M is assumed. By integrating in every volume Ohm's law in term of the magnetic vector potential produced by the conduction and magnetization currents we obtain an equivalent electric network whose lumped parameters vary during every time step interval as the moving parts of the system change their positions. The proposed model has been tested by comparison with analytical solutions.