Since version 2026, Flux 3D and Flux PEEC are no longer available.

Please use SimLab to create a new 3D project or to import an existing Flux 3D project.

Please use SimLab to create a new PEEC project (not possible to import an existing Flux PEEC project).

/!\ Documentation updates are in progress – some mentions of 3D may still appear.

Isotropic / anisotropic soft magnetic material: analytic saturation curve

Presentation

This model defines a nonlinear B(H) dependence for an isotropic material, taking the saturation into consideration.

Mathematical model

This model is composed of a straight line and an arctangent curve.

The corresponding mathematical formula is written as:

where:

  • μ0 is the permeability of vacuum, μ0 = 4 π 10-7 H/m
  • μr is the initial relative permeability of the material (at the origin)
  • Js is the magnetic polarization at saturation (T)

The shape of this B(H) model is given in the figure below.

Anisotropic material

For an anisotropic material, this model consists in a set of three equations, one per 3D-space direction.

This model is available when the following conditions are satisfied:

  • 2D applications (2D plane domain): Magneto Static / Transient magnetic
  • regions: magnetic non conducting, solid conductor