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

Abstract

The authors present a novel lumped model for laminated cores considering the 1D 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≥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=∞) is observed when increasing n.