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矢量逆Jiles-Atherton磁滞模型及其有限元计算

Vector Inverse Jiles-Atherton Hysteresis Model and Its Finite Element Calculation

【作者】 李娟;

【导师】 张艳丽;

【作者基本信息】 沈阳工业大学 , 电气工程, 2021, 硕士

【摘要】 电工钢片(或称硅钢片)因具有良好的导磁性能、较低的损耗等优点,被广泛用作各类旋转电机、变压器等电工产品的铁心材料。在电工产品设计阶段需要进行其电磁性能仿真计算,而电工钢片磁特性和损耗特性模拟的准确性直接影响仿真计算结果的可靠性。变压器在实际的运行过程中,其T型结合部会存在旋转磁场,电工钢片处于旋转磁化的实际工况下,旋转损耗要大于交变损耗,有必要对旋转磁特性进行准确地分析和模拟。目前,受实验条件限制,国内对电工钢片旋转磁特性的模拟还处于起步阶段。借助实验室现有的旋转磁特性测量系统,本文在充分分析电工钢片旋转磁特性测量数据的基础上,提出了变参数的两项式矢量逆Jiles-Atherton磁滞模型和三项式矢量逆Jiles-Atherton磁滞模型。利用二维旋转磁特性测量的数据,进行了模型参数的辨识,并与实验测量数据对比,讨论了模型模拟的精确度。最后,将提出的三项式矢量逆Jiles-Atherton磁滞模型应用到变压器铁心磁场磁特性的有限元计算中。主要研究内容如下:首先,在对比分析现有的几种描述电工钢片磁滞特性的数学模型基础上,考虑到Jiles-Atherton磁滞模型参数具有物理意义明确、模型参数较少等特点,确定用Jiles-Atherton模型模拟电工钢片的旋转磁特性。其次,利用实验室现有的测量数据,对电工钢片旋转磁特性进行了分析,提出了变参数的两项式矢量逆Jiles-Atherton磁滞模型。推导了磁滞模型参数计算公式,基于测量数据进行参数辨识并进行精度验证。结果表明该模型对于接近饱和区域旋转磁特性的模拟精度仍有待提高。再次,为了进一步提高两项式矢量逆Jiles-Atherton模型精度,引入与磁畴旋转相关的参数,提出三项式矢量逆Jiles-Atherton磁滞模型。同样地,利用变参数方法进行参数识别,并将模型计算结果与实验数据相对比,验证了模型的改进效果。最后,将三项式矢量逆Jiles-Atherton磁滞模型应用在变压器铁心磁性能的仿真计算中,给出了有限元计算的方法,分析得到了变压器铁心的磁特性分布。结果表明,提出的矢量逆Jiles-Atherton磁滞模型可以有效地分析变压器铁心的旋转磁性能。

【Abstract】 Electrical steel sheets(or silicon steel sheets)are widely used as core materials for various electrical products such as rotating motors and transformers due to their good magnetic permeability and low loss characteristics.In the design stage of electrical products,the electromagnetic performance simulation calculation is required,and the modeling accuracy of the magnetic properties and loss characteristics of the electrical steel sheet directly affects the reliability of the simulation calculation results.In the actual operation of the transformer,there will be a rotating magnetic field in the T-joint junction part.When the electrical steel sheets are in the actual working condition of rotating magnetization,the rotating loss is greater than the alternating loss.It is necessary to accurately analyze and model the rotating magnetic characteristics.At present,the domestic study for modeling the rotating magnetic characteristics of electrical steel sheets is still in its infancy due to limited experimental conditions.With the help of the existing rotating magnetic characteristic measurement system in the laboratory,this thesis,on the basis of fully analyzing the measurement data of the rotating magnetic characteristic of electrical steel sheets,proposed a two-term vector inverse Jiles-Atherton hysteresis model with variable parameters and a three-term vector inverse Jiles-Atherton hysteresis model.By using the experimental data from the two-dimensional rotating magnetic characteristics,the model parameters were identified and compared with the experimental measurement data,and the modeling accuracy of the model was discussed.Finally,the proposed three-term vector inverse Jiles-Atherton hysteresis model was applied to the finite element calculation of the magnetic field characteristics of the transformer core.The main research contents are as follows:First of all,by comparing and analyzing the several existing mathematical models describing the hysteresis characteristics of electrical steel sheets and considering the parameters characteristics of the Jiles-Atherton hysteresis model with clear physical meanings and fewer model parameters,this model was determined to be used for modeling the rotating magnetic properties of electrical steel sheets.Secondly,based on the existing measurement data in the laboratory,the rotating magnetic characteristics of the electrical steel sheet were analyzed and a two-term vector inverse Jiles-Atherton hysteresis model with variable parameters was proposed.The calculation formula of the hysteresis model parameters were derived,and the parameter identifications were carried out and its modeling accuracy was verified using measured data.The results show that the simulation accuracy of the model for the rotating magnetic characteristics near the saturation region still needs to be improved.Thirdly,in order to further improve the accuracy of the two-term vector inverse Jiles-Atherton model,the parameters related to magnetic domain rotation were introduced,and a three-term vector inverse Jiles-Atherton hysteresis model was developed.Similarly,the variable parameter method was used for parameter identification,the calculation results of the model were compared with the experimental data,and the improvement effect of the model was verified.Finally,the three-term vector inverse Jiles-Atherton hysteresis model was applied to the simulation calculation of the magnetic performance of the transformer core,the finite element calculation method was given,and the magnetic characteristic distribution of the transformer core was obtained.The results show that the proposed vector inverse Jiles-Atherton hysteresis model can effectively analyze the rotating magnetic performance of the transformer core.

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