Lumped low-order time-domain model of eddy current effects in laminated cores

The authors present a novel lumped model for laminated cores considering the ID eddy current problem in a conducting ferromagnetic lamination. The model is based on a polynomial spatial expansion of the induction and the magnetic field throughout the thickness of the lamination, of order n and n + 2 respectively, such that the governing partial differential equation is satisfied (for any n greater than or equal to 0). The magnetic constitutive law is weakly imposed, leading to a system of 1 + n/2 nonlinear differential equations. The method is elaborated and validated for both the linear and the nonlinear case. A fast convergence towards the exact solution (n = infinity) is observed when increasing n.