Constitutive equation of magnetic materials and magnetic field analysis

The constitutive equation of magnetic materials and the associated magnetic field analysis are presented. The B- and H-values have been measured as vector relationships under the influence of a rotating field, using the two-dimensional magnetic measurement apparatus. The magnetic properties are represented by a tensor expression as a function of magnetic reluctivities. This expression is then applied to the rotating field analysis. The off-diagonal terms of the magnetic reluctivity tensor when the axis ratio is 1.0 are antisymmetric. The calculated results with the tensor expression of the H-loop and of the phase difference are in good agreement with the measured results.>