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:

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

where:

• T ref is the reference temperature degree or Kelvin
• B_r ref is the remanent induction of the magnet at T_ref Tesla
• a is a reverse temperature coefficient for the remanent induction Br (degree^-1 )

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