1. School of Electrical Engineering Shenyang University of Technology Shenyang 110870 China; 2. School of Science Shenyang University of Technology Shenyang 110870 China
Abstract：As a large number of nonlinear loads are connected to the electric grid, the transformer core works in the harmonic, DC bias and other non-standard magnetized conditions more frequently. Due to the lack of in-depth study on the physical mechanism of magnetization of the material, the traditional hysteresis models are reported to have limited modeling accuracy for the magnetic properties of core material running under the actual working conditions. In this paper, based on magneto-optic Kerr effect magnetic domain dynamic viewer, the domain wall movements of the electrical steel sheet during the process of magnetization were observed. A physical model that contains multiple domain energy was established based on the mechanism of magnetic domain movement in the process of magnetization. Further, the formula of domain magnetization state was obtained by means of the local minimization principle of the total magnetic energy, and the change of volume of magnetic domain and the direction of the magnetic moment were computed. By fitting the measuring data into model parameters, a series of hysteresis loops of electrical steel sheet under alternating magnetization were obtained, and by comparing with the experimental results, it is proved that the model can effectively simulate the magnetic hysteresis curves in the alternating magnetization. The research results in this paper lay a foundation for further research in the physical model of ferro-materials in electrical equipment under complex magnetic properties for actual conditions.
张文杰, 张艳丽, 姜伟, 夏斌, 谢德馨. 基于磁畴能量最小化原理的电工钢片磁滞模型[J]. 电工技术学报, 2019, 34(zk1): 7-13.
Zhang Wenjie, Zhang Yanli, Jiang Wei, Xia Bin, Xie Dexin. A Magnetic Hysteresis Model in an Electrical Steel Sheet Based on the Minimization Principle of Magnetic Domain Energy. Transactions of China Electrotechnical Society, 2019, 34(zk1): 7-13.
[1] 张良, 吕家圣, 王永红, 等. 35kV干式空心电抗器匝间绝缘现场试验[J]. 电机与控制学报, 2014, 18(6): 66-71. Zhang Liang, Lü Jiasheng, Wang Yonghong, et al.Field test of turn-to-turn insulation of 35kV dry air core reactor[J]. Journal of Electric Machines and Control, 2014, 18(6): 66-71. [2] 陈锋, 王嘉玮, 吴梦晗, 等. 基于RBF神经网络的干式空心电抗器涡流损耗计算[J]. 电工技术学报, 2018, 33(11): 2545-2553. Chen Feng, Wang Jiawei, Wu Menghan, et al.Calcu- lation of eddy current loss of dry-type air-core reactor based on RBF neural network[J]. Transactions of China Electrotechnical Society, 2018, 33(11): 2545-2553. [3] 聂洪岩, 张潮海, 顾哲屹, 等. 局部放电条件下干式空心电抗器匝间绝缘的电老化特性研究[J]. 电工技术学报, 2018, 33(13): 3071-3079. Nie Hongyan, Zhang Chaohai, Gu Zheyi, et al.Study on the electrical aging characteristics of interturn insulation of dry-type air-core reactors under partial discharge[J]. Transactions of China Electrotechnical Society, 2018, 33(13): 3071-3079. [4] 陈柏超, 王朋, 沈伟伟, 等. 电磁混合式消弧线圈的全补偿故障消弧原理及其柔性控制策略[J]. 电工技术学报, 2015, 30(10): 311-318. Chen Baichao, Wang Peng, Shen Weiwei, et al.Fully compensated fault arc extinction principle and flexible control strategy for electromagnetic hybrid arc suppression coil[J]. Transactions of China Electrotechnical Society, 2015, 30(10): 311-318. [5] 周明, 曹炜, 陈文涛, 等. 串联电抗器对电力系统短路电流特性影响的研究[J]. 电力系统保护与控制, 2017, 45(11): 147-153. Zhou Ming, Cao Wei, Chen Wentao, et al.Study on the influence of series reactors on short-circuit current characteristics of power system[J]. Power System Protection and Control, 2017, 45(11): 147-153. [6] 徐林峰, 林一峰, 王永红, 等. 干式空心电抗器匝间过电压试验技术研究[J]. 高压电器, 2012, 48(7): 71-75. Xu Linfeng, Lin Yifeng, Wang Yonghong, et al.Study on the technology of daytime overvoltage test of dry air core reactor[J]. High Voltage Apparatus, 2012, 48(7): 71-75. [7] 黄文武, 凌云, 吴玉坤, 等. 干式空心电抗器匝间短路故障特性的研究[J]. 变压器, 2017, 54(10): 14-18. Huang Wenwu, Ling Yun, Wu Yukun, et al.Study on the fault characteristics of inter-turn short circuit in dry-type air-core reactor[J]. Transformer, 2017, 54(10): 14-18. [8] 古亮, 郑玉, 尹泽龙, 等. 基于小波的干式空心电抗器匝间短路故障瞬时特性研究[J]. 电工技术, 2017(5): 58-59. Gu Liang, Zheng Yu, Yin Zelong, et al.Research on transient characteristics of inter-turn short circuit fault of dry type air-core reactor based on wavelet[J]. Electrician Technology, 2017(5): 58-59. [9] 赵春明, 朱大铭, 司昌健, 等. 匝间短路干式空心并联电抗器故障电流分析[J]. 变压器, 2017, 54(9): 34-38. Zhao Chunming, Zhu Daming, Si Changjian, et al.Fault current analysis of dry-type hollow shunt reactors in inter-turn short circuit[J]. Transformer, 2017, 54(9): 34-38. [10] 吴彦霖, 谭向宇, 马仪, 等. 电场分布以及匝数偏差暂态电动力对干式空心并联电抗器影响的研究[J]. 高压电器, 2016(10): 99-107. Wu Yanlin, Tan Xiangyu, Ma Yi, et al.Study on the influence of electric field distribution and transient electric power on the dry-type hollow shunt reactor[J]. High Voltage Apparatus, 2016(10): 99-107. [11] 姜志鹏, 周辉, 宋俊燕, 等. 干式空心电抗器温度场计算与试验分析[J]. 电工技术学报, 2017, 32(3): 218-224. Jiang Zhipeng, Zhou Hui, Song Junyan, et al.Temperature field calculation and experimental analysis of dry-type air core reactor[J]. Transactions of China Electrotechnical Society, 2017, 32(3): 218-224. [12] 田铭兴, 柳轶彬, 尹健宁, 等. 变压器式可控电抗器限流电感计算[J]. 电工技术学报, 2017, 32(2): 144-152. Tian Mingxing, Liu Yibin, Yin Jianning, et al.Calculation of current limiting inductance of transformer controllable reactor[J]. Transactions of China Electrotechnical Society, 2017, 32(2): 144-152. [13] 高自伟, 朱学成, 王永红, 等. 干式空心电抗器匝间短路在线监测系统研制[J]. 哈尔滨理工大学学报, 2017, 22(2): 67-71. Gao Ziwei, Zhu Xuecheng, Wang Yonghong, et al.Development of an on-line short circuit on-line monitoring system for dry-type hollow reactors[J]. Journal of Harbin University of Science and Technology, 2017, 22(2): 67-71. [14] 庄羽. 66kV级干式空心并联电抗器匝间短路在线监测系统研制[D]. 哈尔滨: 哈尔滨理工大学, 2016. [15] 彭庆军, 马仪, 姜雄伟, 等. 基于有限元方法的35kV干式空心并联电抗器匝间短路保护特征量的研究[J]. 变压器, 2017, 54(8): 31-36. Peng Qingjun, Ma Yi, Jiang Xiongwei, et al.Study on the characteristics of interturn short circuit protection of 35kV dry-type hollow shunt reactor based on finite element method[J]. Transformer, 2017, 54(8): 31-36. [16] 郑涛, 赵彦杰, 金颖, 等. 磁控式并联电抗器控制绕组匝间故障分析及保护方案[J]. 电力系统自动化, 2014, 38(10): 95-99. Zheng Tao, Zhao Yanjie, Jin Ying, et al.Analysis and protection scheme of turn-to-turn faults in controlled windings of magnetron shunt reactors[J]. Automation of Electric Power Systems, 2014, 38(10): 95-99. [17] 张芬芬, 郑涛, 刘连光. TCT式并联电抗器控制绕组匝间故障保护方案[J]. 电力自动化设备, 2017, 37(7): 135-141. Zhang Fenfen, Zheng Tao, Liu Lianguang.Inter-turn fault protection scheme for TCT shunt reactor control winding[J]. Electric Power Automation Equipment, 2017, 37(7): 135-141. [18] 郑涛, 赵彦杰, 金颖. 特高压磁控式并联电抗器保护配置方案及其性能分析[J]. 电网技术, 2014, 38(5): 1396-1401. Zheng Tao, Zhao Yanjie, Jin Ying.Protection con- figuration scheme and performance analysis of UHV magnetic control shunt reactor[J]. Power System Technology, 2014, 38(5): 1396-1401. [19] 马超, 赵彦珍, 马西奎. 基于等电流相位法的单相干式空心电抗器设计[J]. 电工技术学报, 2017, 32(10): 190-195. Ma Chao, Zhao Yanzhen, Ma Xikui.Design of single coherent hollow reactor based on equal current phase method[J]. Transactions of China Electrotechnical Society, 2017, 32(10): 190-195. [20] 刘小华, 黄彦全, 李晓玉, 等. 应用谐波电流比的并联电容器补偿装置电抗器匝间短路保护[J]. 电力系统及其自动化学报, 2016, 28(7): 112-116. Liu Xiaohua, Huang Yanquan, Li Xiaoyu, et al.Interturn short circuit protection of shunt capacitor compensation device using harmonic current ratio[J]. Journal of Electric Power System and Automation, 2016, 28(7): 112-116. [21] 黄学民, 谷裕, 罗新, 等. 高频脉冲振荡法检测干式空心电抗器匝间绝缘缺陷[J]. 变压器, 2017, 12(4): 49-52. Huang Xuemin, Gu Yu, Luo Xin, et al.Detection of turn-to-turn insulation defects of dry-type air core reactors by high-frequency pulse oscillation method[J]. Transformer, 2017, 12(4): 49-52. [22] 有晓宇, 穆海宝, 董勤晓, 等. 基于Fluent的35kV干式空心电抗器温度场仿真分析[J]. 高压电器, 2017, 53(8): 147-152. You Xiaoyu, Mu Haibao, Dong Qinxiao, et al.Temperature field simulation analysis of 35kV dry- type air core reactor based on Fluent[J]. High Voltage Apparatus, 2017, 53(8): 147-152. [23] 徐禄文, 罗鹏, 邹岸新, 等. 基于矩量法的空心电抗器工频磁场仿真分析[J]. 高压电器, 2015, 51(7): 26-31. Xu Luwen, Luo Peng, Zou Anxin, et al.Simulation analysis of power frequency magnetic field of air core reactor based on moment method[J]. High Voltage Apparatus, 2015, 51(7): 26-31. [24] 陈图腾, 曹继丰, 姜志鹏, 等. 特高压干式平波电抗器直流磁场测量与分析[J]. 陕西电力, 2015, 43(4): 11-14. Chen Tuteng, Cao Jifeng, Jiang Zhipeng, et al.Measurement and analysis of DC magnetic field of UHV dry-type smoothing reactor[J]. Shaanxi Electric Power, 2015, 43(4): 11-14. [25] 张栋, 范洪涛, 张俊杰, 等. 特高压并联电抗器的磁场分析[J]. 变压器, 2016, 53(7): 55-59. Zhang Dong, Fan Hongtao, Zhang Junjie, et al.Magnetic field analysis of UHV shunt reactor[J]. Transformer, 2016, 53(7): 55-59. [26] 陈国珍, 张文春, 孙志. 基于Ansoft的串联铁心电抗器磁场特性分析[J]. 电气制造, 2014(2): 44-47. Chen Guozhen, Zhang Wenchun, Sun Zhi.Analysis of magnetic field characteristics of series iron core reactors based on ansoft[J]. Electrical Manufacturing, 2014(2): 44-47.
2019, Vol. 34 
