A Fixed-Point Frequency Domain Method Based on Magnetic Scalar Potential and Its Application to the DC Biased Problem in the Laminated Core

Abstract

A fixed-point frequency domain algorithm based on the magnetic scalar and current vector potential is presented by using the complex exponential to approximate periodic variables. The DC biased problem in a laminated core is investigated and analyzed by the proposed method, in which the edge element is used to interpolate the current vector potential. The frequency-domain finite element equation is assembled to solve the two-dimensional nonlinear magnetic field taking electromagnetic coupling into account. The fixed-point permeability is introduced to decompose the coefficient matrix and decouples harmonic solutions, which reduce the memory requirements and computational time significantly. A laminated core model is employed to carry out the DC biasing experiment. The calculated results are compared with the experimental ones to verify the validity of the proposed method in computation and analysis of DC biased problems.