The improved fixed-point harmonic-balanced method for the nonlinear eddy current problems

Abstract

The constitutive relationship based on H-B-M is used in the fixed-point harmonic-balanced method to derive the electromagnetic coupling equation in frequency domain when the eddy current problem with solid conductor is involved in computation.The differential reluctivity is computed to optimally determine the fixed-point reluctivity,and the fixed-point reluctivity matrix is updated in each nonlinear iterative step.The diagonal fixed-point reluctivity matrix is constructed simply to reduce the memory requirement effectively and improve the computational efficiency.The nonlinear iterative scheme based on the secant method is adopted to speed up the convergence of harmonic solutions.Considering the electromagnetic coupling,1-D and 2-D nonlinear eddy current problems are computed and analyzed to prove the validity and efficiency of the proposed method.