3D edge element based formulation coupled to electric circuits

This paper describes a new approach for 3-D magnetic field analysis of electromagnetic devices, taking into account electric circuit equations. The approach is based on the ungauged magnetic vector potential with edge elements and it is particularly useful for end-coils effects analysis. To ensure the continuity of the current density, a new wire density vector is introduced. The electric circuit is analysed using the time-integrated electric potential as a nodal unknown. The whole system is solved step by step with respect to time. To validate the proposed approach, some numerical examples are treated.