Nonlinear Proper Generalized Decomposition Method Applied to the Magnetic Simulation of a SMC Microstructure

Abstract

Improvement of the magnetic performances of soft magnetic composites (SMC) materials requires to link the microstructure to the macroscopic magnetic behavior law. This can be achieved with the finite-element method using the geometry reconstruction from images of the microstructure. Nevertheless, it can lead to large computational times. In that context, the proper generalized decomposition (PGD), that is an approximation method originally developed in mechanics, and based on a finite sum of separable functions, can be of interest in our case. In this work, we propose to apply the PGD method to the SMC microstructure magnetic simulation. A nonlinear magnetostatic problem with the scalar potential formulation is then solved.