Nonlinear Solution
In a steady-state condition, unlike linear problems in which the field solution is assumed to be based on the sinusoidal peak field values, nonlinear problems are usually based on all harmonic components of the fields.
In the 3D Eddy Current A-F, the vector field B is sinusoidal once it is obtained from . The H field is then computed from the B-H nonlinear property as stated in the constitutive relation:
Consequently, the magnetic field H can be "harmonically rich" due to the material's nonlinearity. This solver uses an effective property based on the sinusoidal B to approximate nonlinear field behavior associated with the assigned nonlinear B-H characteristic. Using the B-H curve, the effective reluctivity is expressed by
The above equation is used to obtain the effective material property for each B field value in the original curve, allowing the generation of a new curve based on the effective properties.