Comparison of the field methods in homogenization of the laminated magnetic cores

The comparison of three field methods for homogenization of the laminated cores has been presented in this work. As a result, the equivalent electrical conductivity and magnetic permeability for the geometry of the core entire body were obtained for magnetic field 3D modelling. The first method is an iterative homogenization method (IHM) connected with the field solution, whereas the two others are based on analytical expressions arising from the Maxwell's equations. For 3D field solution, Finite Element numerical model including eddy currents under various frequency values was used in IHM. The model is based on a combination of the total and the reduced magnetic potentials. For comparison to our IHM, the two analytical approaches for core homogenization were used, as well. To calculate the stray losses in the homogenized laminated C-core these three approaches have been executed, as a case study. Applying suitable simplifications, according the methods of analytical homogenization, between the analytically calculated and measured values of the core losses high differences have been obtained. For the cores from amorphous strip, the analytical methods are inappropriate and our method, though iteratively implicit, gives significantly better equivalent parameters for the laminated C-core.