List of models for soft magnetic materials

Models for soft magnetic materials

The various models available for the description of soft magnetic materials are given in the following table.

Isotropic/anisotropic material: linear approximation
Linear isotropic B = μ.H Linear anisotropic
Linear isotropic complex Linear anisotropic complex
Isotropic /anisotropic material: nonlinear approximation
Isotropic saturation: B = μ(H).H
  • analytic
  • analytic + knee adjustment
  • spline
 Anisotropic saturation * :
  • analytic *
  • analytic + knee adjustment *
  • spline *

Parabola isotropic + straight line:

B = μ(H).H
Isotropic material: hysteresis **
Preisach model
  • described by 4 parameters of a typical cycle
  • identified by N triplets
Jiles-Atherton model
Note: * Currently, the usage of these models must respect the following conditions:
  • available in Magneto Static and Transient Magnetic applications only, in 2D plane domains
  • assigned to magnetic non conducting or solid conductor regions
Note: ** Hysteresis models are available in Transient Magnetic (2D, 3D) applications only

Other specific models are also provided (see table below). Their usage mode is presented in § Spatial model / user model.

Magnetic property …
… spatial linear isotropic or anisotropic: μr described via spatial formula(e)
… user-defined: μr described via user subroutine and personal version