MAGNETIC FIELD-BASED FINITE-ELEMENT FORMULATION FOR 3D TRANSIENT EDDY CURRENTS

A finite-element formulation for the calculation of three-dimensional (3D) transient eddy currents in nonferrous conductors is presented in this paper. In an attempt to develop a simple yet robust finite-element formulation, the magnetic field intensity H is directly chosen as the state variable. Unlike the ''curl-curl'' formulation, this formulation is based on the vector diffusion equation and the divergence free condition is enforced by the penalty method. Finite-element implementation of the formulation is described in some detail. The proposed direct field formulation is simple to implement and computationally economical. An illustrative numerical example is also presented.