Magnet (unidirectional): linear approximation, linear function of T

Presentation

This model defines remanent flux density (Br) as a linear function of the temperature for a magnet with an isotropic permeability.

Mathematical model

Remanent flux density is a linear function of the temperature.

The corresponding mathematical formula is written:

Br(T) = Br_ref * (1 + a * (T - T_ref ))

where:

• T_ref is the reference temperature (degrees Celsius °C or Kelvin K)
• Br_ref is the remanent flux density of the magnet at T_ref (T)
• a is a reverse temperature coefficient for the remanent flux density Br (degrees^-1 )

The shape of Br (T) curve is presented in the figure below.