List of models for hard magnetic materials

Models for hard magnetic materials

The various models available for the description of hard magnetic materials (permanent magnets) are presented in the following table.

Anisotropic material: linear approximation

Linear magnet described by the Br module

Linear magnet described by the Br module, with Br linear function of the temperature

unidirectional

Linear magnet described by the Br Cartesian vector

Linear magnet described by the Br cylindrical vector

Linear magnet described by the Br spherical vector

vector
Anisotropic material: nonlinear approximation

Nonlinear magnet described by HcB, HcJ and the Br module

Nonlinear magnet described by Hc and the Br module, plus knee adjustment

Nonlinear magnet described by a spline

unidirectional

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

Magnetic property …
… spatial linear magnet: μr and described via spatial formulae

Direction of magnetization (orientation)

Magnetization is a vector quantity which can be defined:

  • either by a module and a direction (in a coordinate system)
  • or by components in a coordinate system

These two modes of definition provided in Flux are presented in the two tables below.

In a model of the “unidirectional” type

the mathematical model and the direction of magnetization are dissociated.

Definition Use
Module of Br

Direction (in a plane XOY)

  • unidirectional
  • radial
  • orthoradial
A single material can be used for definition of several regions (with different directions of magnetization)

In a model of the “vector” type

the mathematical model and the direction of magnetization are associated

Definition Use
  • components of Br in a Cartesian coordinate system
  • components of Br in a cylindrical coordinate system
  • components of Br in a spherical coordinate system
It is necessary to create the same number of materials and/or coordinate systems as the regions