A Vector Play Model for Finite-Element Eddy-Current Analysis Using the Newton-Raphson Method

The differentiation of the vector hysteretic function represented by a vector play model is discussed for efficient nonlinear electromagnetic field computation using the Newton-Raphson method. The combination of the nonlinear finite-element method and the vector play model achieves accurate representation of the AC anisotropic magnetic property of nonoriented silicon steel sheet under rotational magnetic flux conditions. The proposed method is successfully applied to the eddy-current analysis of iron-cored inductors excited by a current or voltage source.