A Temperature and Stress Dependent Hysteresis Model with Experiment Validation
DuanNana1, Xu Weijie2, Li Yongjian3, Wang Shuhong1, Zhu Jianguo4
1. School of ElectricalEngineering Xi’an Jiaotong University Xi’an 710049 China;; 2. State Grid Shaanxi Electric Power Company Construction Branch Xi’an 710065 China;; 3. Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability Hebei University of Technology Tianjin 300130 China; 4. Faculty of Engineering and Information Technologies The University of Sydney Sydney NSW 2006 Australia
Abstract：The design and performance analysis of the electrical equipment usually involve the coupling of electrical, magnetic, thermal, mechanical and other physical fields. With the development of numerical calculation technology of electromagnetic field and the improvement of computer performance, the electromagnetic field numerical simulation software has been widely used to analyze the coupling problem of electromagnetic field, thermal field and mechanical field. The magnetic properties of magnetic material under work conditions will be influenced by some non-magnetic factors, such as temperature and stress. However, these characteristics are difficult to be simulated by the traditional hysteresis models. In this paper, based on the microscopic magnetizationmechanisms of magnetic materials, a hysteresis elemental operator, which contains two easy axes and two hard axes, has been presented. Besides, with the help of the energy minimum principle, the octagonal law which can determine the orientation of the magnetization has been introduced. By taking into account the differences between the laboratory conditions and the practical engineering manufacturing and operation, the temperature-depended saturation magnetization, temperature-depended anisotropy, and stress-depended distribution function are introduced to the hysteresis elemental operator. With the employment of the Gaussian-Gaussian distribution function and the interaction field, a temperature and stress dependent hysteresis model is proposed to simulate the magnetic properties under different temperature and stress conditions. Finally, by comparing the simulation results with the experimental measurement results, the effectiveness and viability of this proposed hysteresis model have been confirmed.
段娜娜, 徐伟杰, 李永建, 王曙鸿, 朱建国. 一种考虑温度和压力影响的磁滞模型及其实验验证[J]. 电工技术学报, 2019, 34(13): 2686-2692.
DuanNana, Xu Weijie, Li Yongjian, Wang Shuhong, Zhu Jianguo. A Temperature and Stress Dependent Hysteresis Model with Experiment Validation. Transactions of China Electrotechnical Society, 2019, 34(13): 2686-2692.
[1] 李永建, 杨庆新, 安金龙, 等. 软磁复合材料的三维磁特性检测实验研究[J]. 电工技术学报, 2012, 27(9): 160-165. Li Yongjian, Yang Qingxin, An Jinlong, et al.Three dimensional magnetic properties measurement of soft magnetic composite materials[J]. Transactions of China Electrotechnical Society, 2012, 27(9): 160-165. [2] Li Yongjian, Yang Qingxin, Zhu J, et al.Design and analysis of a novel 3-D magnetization structure for laminated silicon steel[J]. IEEE Transactions on Magnetics, 2014, 50(2): 389-392. [3] 张艳丽, 刘洋, 谢德馨, 等. 耦合改进型矢量磁滞模型的变压器磁场分析及实验研究[J]. 中国电机工程学报, 2010, 30(21): 109-113. Zhang Yanli, Liu Yang, XieDexin, et al. Finite element analysis of magnetic field in transformer core coupled with improved vector hysteresis model and its experimental verification[J]. Proceedings of the CSEE, 2010, 30(21): 109-113. [4] 赵小军, 崔灿, 李琳, 等. 基于定点谐波平衡法的铁心磁滞与损耗特性分析[J]. 电工技术学报,2012, 29(7): 11-18. Zhao Xiaojun, Cui Can, Li Lin, et al.Analysis of the hysteresis and loss characteristics in the laminated core by fixed-point harmonic-balanced method[J]. Transactions of China Electrotechnical Society, 2012, 29(7): 11-18. [5] Li Yongjian, Liu Yafeng, Liu Fugui, et al.Magnetic anisotropic properties measurement and analysis of the soft magnetic composite materials[J]. IEEE Transactions on Applied Superconductivity, 2014, 24(5): 1-4. [6] Yamasawa K, Murakami K.Thermomagnetic characteristics of cores composed of temperature sensitive magnetic materials[J]. IEEE Transactions on Magnetics, 1996, 12(6): 801-803. [7] 孔庆奕, 程志光, 李悦宁. 取向硅钢片在不同环境温度下的磁特性[J]. 高电压技术, 2014, 40(9): 2743-2749. Kong Qingyi, Cheng Zhiguang, Li Yuening.Magnetic properties of oriented silicon steel sheet under different ambient temperatures[J]. High Voltage Engineering, 2014, 40(9): 2743-2749. [8] 杜玉峰. 基于铁磁材料温度特性测试的磁场与温度场耦合仿真研究[D]. 沈阳: 沈阳工业大学, 2016. [9] XuWeijie, Duan Nana, Wang Shuhong, et al. A stress-dependent magnetic hysteresis model for soft magnetic composite materials[J]. IEEE Transactions on Applied Superconductivity, 2016, 26(7): 1-4. [10] Bertotti G.Hysteresis in magnetism: for physicists, materials scientists, and engineers[M]. California: Academic press, 1998. [11] Stoner E, Wohlfarth E.A mechanism of magnetic hysteresis in heterogeneous alloys[J]. IEEE Transactions on Magnetics, 1991, 27(4): 3475-3518. [12] David J.Introduction to magnetism and magnetic materials[M]. Iowa: CRC press, 2015. [13] Chikazumi S.Physics of magnetism[M]. New York: Wiley, 1984. [14] Andrei P.Temperature, stress, and rate dependent numerical implementation of magnetization processes in phenomenological models[J]. The Journal of Optoelectronics and Advanced Materials, 2007, 9(4): 1137-1139. [15] 段娜娜, 徐伟杰, 李永建, 等. 基于极限磁滞回线法的软磁复合材料磁特性模拟[J]. 电工技术学报, 2018, 33(20): 4739-4745. Duan Nana, XuWeijie, Li Yongjian, et al. Electromagnetic property modeling of the soft magneticcomposite material based on the limiting loop method[J]. Transactions of China Electrotechnical Society, 2018, 33(20): 4739-4745. [16] 段娜娜, 徐伟杰, 李永建, 等. 基于矢量磁滞算子的软磁复合材料旋转磁滞特性模拟分析[J]. 电工技术学报, 2018, 33(10): 2268-2273. Duan Nana, XuWeijie, Li Yongjian, et al. Rotational magnetic hysteresis of soft magnetic composite materials based on the elemental operator method[J]. Transactions of China Electrotechnical Society, 2018, 33(10): 2268-2273.
2019, Vol. 34 
