Estimation of Jiles–Atherton Parameters of Toroid Cores Using MATLAB/Simulink

Abstract

This paper addresses the development and testing of a new genetic-like algorithm for the Jiles–Atherton ferromagnetic hysteresis model parameter fitting. The MATLAB/Simulink environment was used for the simulation and postprocessing of data. Firstly, the model's first-order ordinary differential equation is introduced with a brief description of its parameters. A correction parameter was introduced into the equation to eliminate the non-physical behavior of the model. Then the fitting algorithm and fit function are described. An experimental setup is built to measure the hysteretic loops of a ferromagnetic toroid core consisting of an iron powder material. The major and several minor hysteresis loops were measured and used as inputs into the model fitting algorithm. The measurement is then compared with the simulated results.