Isotropic / anisotropic soft magnetic material: linear approximation

Presentation

This model defines a linear B(H) dependence without taking into consideration the saturation phenomenon for an isotropic or anisotropic material. It can be utilized for fields of low values, as long as the saturation knee is not reached.

Mathematical model

This model is a straight line.

The corresponding mathematical formula is written as follows:

Β(Η)=μ₀μ_rΗ

where:

• μ₀ is the permeability of vacuum, μ₀ = 4 π 10^-7 H/m
• μ_r is the relative permeability of the material

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

Anisotropic material

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