Research On Inverse Vector Jiles-Atherton Hysteresis Model Under Rotational Magnetization

Electrical steel sheets have good magnetic permeability and are usually laminated to form iron cores for motors and transformers.The hysteresis characteristics of electrical steel sheets are important parameters to be considered in the design process of electrical equipment,and have an important impact on the accurate simulation of electromagnetic field numerical analysis.Since the anisotropy of the electrical steel sheet is obvious,the stator core yoke or the T-junction of the core during the actual operation of the motor and transformer not only has alternating magnetization but also has rotating magnetization,and the effect of rotational magnetization on it is greater than the effect of alternating one.Accurately simulating the hysteresis characteristics of the core under rotating magnetization is the premise and basis for the optimal design of high power density motors.In this paper,the physical properties of scalar and vector Jiles-Atherton hysteresis model are analyzed.Based on experimental measurements of rotating magnetic properties of electrical steel sheets,the hysteresis characteristics of electrical steel sheets under different magnetization trajectories are analyzed,and an improved inverse vector Jiles-Atherton hysteresis model is proposed,and then the parameters in the model are optimized and identified.Simultaneously,the model calculation results are compared with the experimental measurements to verify the validity of the model.The magnetic characteristics of a synchronous generator are simulated and calculated.By using Ansoft software to simulate and analyze the magnetic field of a synchronous generator,and simultaneously combining the Matlab program to obtain the magnetic flux density,the magnetic flux density is used as the input of the vector hysteresis model to calculate the magnetic field strength,which lays a foundation for the design and development of high efficiency motors and transformers.The main research contents are as follows:Firstly,on the basis of comparative analysis of several commonly used models describing the magnetic hysteresis characteristics of electrical steel sheets,the paper studies the inverse vector Jiles-Atherton hysteresis model with clear physical meaning,and deduces the model formula in detail,and the feasibility of the model in predicting the rotational hysteresis characteristics of electrical steel sheets is analyzed.Secondly,using the two-dimensional magnetic characteristics measuring device andcharacteristic data of the existing electrical steel sheet in the laboratory,the deficiencies of the traditional inverse vector Jiles-Atherton hysteresis model in simulating the rotating magnetic properties of electrical steel sheets are analyzed.The mathematical expression of the anhysteresis magnetization parameter is redefined,and an improved inverse vector hysteresis model is proposed.Then,in order to further improve the accuracy of the vector hysteresis model calculation,the five parameters of the improved inverse vector Jiles-Atherton hysteresis model are optimized and identified,and the corresponding computer program is written based on Matlab language.The validity of the improved hysteresis model is verified by comparing the model calculation results with the measured data.Finally,a simulation calculation method for analyzing the magnetic properties of the motor using the inverse vector Jiles-Atherton hysteresis model is given.The Ansoft software is used to simulate and analyze the motor,and the magnetic flux density data are collected.The magnetic field data are output by Matlab program,and the hysteresis model parameters are calculated.Then the inverse magnetic hysteresis model is used to calculate the magnetic field strength,and the corresponding hysteresis loop is given.