B(H, T) law: models


The models provided are available only for isotropic soft magnetic materials.

The decrease of B(H) characteristics with the temperature is:

  • either an exponential decay
  • or a decay defined by the user (table of values)

Models for soft magnetic materials

The various models available for the description of soft magnetic materials, whose magnetization behavior is a function of the temperature, are presented in the following table.

Models for soft magnetic materials (linear approximation)

Linear isotropic

exponential function of T

tabulated function of T

B= μ (T).H
Models for isotropic soft magnetic materials (nonlinear approximation)

Saturation isotropic: analytic

exponential function of T

tabulated function of T

B= μ (H,T).H

Saturation isotropic: analytic + knee adjustment

exponential function of T

Specific models are also provided (see table below). Their mode of use is presented in § Spatial model / user model

Magnetic property …
… spatial linear isotropic (μr described via spatial formula)
… user (μr described via user subroutine and personal version)

Mathematical models

The models provided for the B(H) curves, depending on temperature, with exponential decay, are defined by means of:

  • the previous models provided for soft materials
  • the temperature coefficient COEF(T) based on two exponential functions