Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

Abstract

This paper presents a finite element analysis procedure for solving time-periodic magnetic field problems, employing the fixed point method and the vector Jiles-Atherton (J-A) model. To increase the modeling accuracy, multiple sets of the J-A model parameters are used. The convergence performance of the fixed point iteration is improved by calculating the fixed point coefficients of rolling and transverse directions independently, according to the differential reluctivities of the hysteresis loops. The finite element analysis algorithm incorporating the fixed point method and the vector J-A model with multisets of parameters is derived, and applied to analyze a single-phase transformer core laminated of electrical steel sheets. The convergence of the computation can be guaranteed if the fixed point coefficients are properly bounded. By comparing the numerical analysis results with the experimentally measured ones, the effectiveness of the proposed analysis method is investigated. Index Terms-Finite-element method, fixed point method, nonlinear hysteresis, time stepping, vector Jiles-Atherton (J-A) model.