Line integrals for the computation of global parameters from 2D eddy current numerical computations

The authors consider the computation of global parameters such as forces, torques, and power dissipation from numerical models based on the computation of the vector potential for 2-D (plane or axisymmetric) eddy current problems including linear or nonlinear magnetic materials. The numerical method is a coupling between the finite element and the boundary element methods. It provides a precise value of potential and tangential field on the boundary of the subdomains. The values of normal induction and of tangential electric field on the boundary are accurately computed from the values of the vector potential on the boundary and terminal voltage. All these quantities allow the efficient computation of global parameters as line integrals on the boundary of 2-D domains. The forces and torques are computed using the Maxwell stress tensor. The power dissipation is obtained using the Poynting theorem