Energy conserving Anisotropic Anhysteretic Magnetic Modelling for Finite Element Analysis

TL;DR

This paper introduces an energy-based, convex function approach for anisotropic anhysteretic magnetic modeling in finite element analysis, ensuring energy conservation and improved accuracy for ferromagnetic materials.

Contribution

It proposes a novel energy density function framework that guarantees energy conservation and is particularly advantageous for anisotropic materials in magnetic modeling.

Findings

Energy density function is convex in flux density.

Method ensures energy conservation in magnetic modeling.

Applicable mainly to anhysteretic, thermodynamically stable materials.

Abstract

To model ferromagnetic material in finite element analysis a correct description of the constitutive relationship (BH-law) must be found from measured data. This article proposes to use the energy density function as a centrepiece. Using this function, which turns out to be a convex function of the flux density, guarantees energy conservative modelling. The magnetic field strength can be seen as a derivative with respect to the flux density. Especially for anisotropic materials (from lamination and/or grain orientation) this method has advantages. Strictly speaking this method is only valid for anhysteretic and thermodynamically stable material.