Application of the Jiles–Atherton Model of Magnetic Hysteresis to Analyzing the Spatial Distribution of Magnetic Fields and Induction in an Open-Loop Magnetic Circuit

The paper presents a study on the application of the Jiles–Atherton magnetic hysteresis mathematical model. The optimal model parameters were selected based on measurement data in a closed-loop magnetic circuit and used to build digital models in COMSOL Multiphysics. Experimental studies on ferromagnetic steel samples with different magnetic properties demonstrated good agreement with the design data. The results showed that the deviation of the experimental values of the key characteristics (Bmax, Br, Hc) from the simulation results did not exceed 5%. Detailed pictures of the spatial distribution of magnetic induction and field strength in samples in different parts of the magnetic hysteresis loop were obtained. The verified model will allow further optimization of the designs of magnetizing devices and the location of sensors when developing new methods and means of magnetic nondestructive testing.