Abstract：Stator windings of large water filling submersible motor suffer from electromagnetic force during operation, which causes the stator winding insulation abrasion, fatigue, degradation, or even leads to an accident. Electromagnetic vibration of stator end winding of 2 800kW water filling submersible motor is analyzed. Firstly, End winding equivalent physical model is proposed. The fundamental wave current density expression is presented by Fourier series and the equivalent air gap rotary current is substituted for air-gap magnetic potential difference of end magnetic field. Secondly, three-dimensional finite element method is used for the establishment of a magnetic field mathematical model. Then the analytical expression of the static component and dynamic component of the electromagnetic force density is deduced, which shows the distribution of electromagnetic force of the end windings. Finally, the natural frequency of end winding and the amplitude of forced vibration are obtained by numerical calculation. The result can provide certain help to solve practical problems in engineering, and can provide reference for end winding structure optimization design.
鲍晓华, 方勇, 程晓巍, 吕强. 大型充水式潜水电机定子端部绕组电磁振动研究[J]. 电工技术学报, 2013, 28(11): 138-146.
Bao Xiaohua, Fang Yong, Cheng Xiaowei, Lü Qiang. Research on Electromagnetic Vibration of Stator End Winding of Large Water Filling Submersible Motor. Transactions of China Electrotechnical Society, 2013, 28(11): 138-146.
[1] Stone G C, Maughan C V, Nelson D, et al. Impact of slot discharges and vibration sparking on stator winding life in large generators[J]. IEEE Electrical Insulation Magazine, 2008, 24(5): 14-21. [2] 夏海霞, 姚缨英, 熊素铭, 等. 1 000MW汽轮发电机端部磁-热耦合分析[J]. 中国电机工程学报, 2008, 28(14): 118-122. Xia Haixia, Yao Yingying, Xiong Suming, et al. Magnetic-thermal coupling analysis of end region of 1 000MW turbine-generator[J]. Proceedings of the CSEE, 2008, 28(14): 118-122. [3] Henry M Hamalainen, Juha Pyrhonen, Janne Nerg, et al. 3-D finite element method analysis of additional load losses in the end region of permanent-magnet generators[J]. IEEE Transactions on Magnetics, 2012, 48(8): 2352-2357. [4] Vasilios S Lazarns, Antonios G Kladas, et al. Analysis of end zone magnetic field in generators and shield optimization for force reduction on end windings[J]. IEEE Transactions on Magnetics, 2009, 45(3): 1470-1473. [5] Ki Chan Kim, Hyung Woo Lee, Yon Do Chun, et al. Analysis of electromagnetic force distribution on end winding for motor reliance[J]. IEEE Transactions on Magnetics, 2005, 41(10): 4072-4074. [6] 邱洪波, 李伟力, 张晓晨, 等. 背绕式定子绕组高速永磁电机三维端部区域电磁场分析与计算[J]. 中国电机工程学报, 2012, 32(4): 80-87. Qiu Hongbo, Li Weili, Zhang Xiaochen, et al. Calculation and analysis of 3D electromagnetic field for high speed permanent magnet generator end region with back around winding[J]. Proceedings of the CSEE, 2012, 32(4): 80-87. [7] 雷银照, 熊华俊, 王书彬. 线性瞬态涡流场定解问题中的法向边界条件与解的唯一性[J]. 中国电机工程学报, 2003, 23(4): 81-85. Lei Yinzhao, Xiong Huajun, Wang Shubin. The normal interface condition and the uniqueness of solution to the linear transient eddy current definite- solution problem[J]. Proceedings of the CSEE, 2003, 23(4): 81-85. [8] 姚缨英, 高昌燮, 柳在燮, 等. 基于有限元分析计算设计灵敏度和网格更新的三维形状优化算法[J]. 中国电机工程学报, 2004, 24(5): 130-136. Yao Yingying, Koh Chang Seop, Ryu Jae Seop, et al. 3D shape optimization method based on finite element analysis to calculate design sensitivity and mesh relocation[J]. Proceedings of the CSEE, 2004, 24(5): 130-136. [9] Albanese R, Calvano F, G Dal Mut, et al. Coupled three dimensional numerical calculations of forces and stresses in the end windings of large turbo generators via integral formulation[J]. IEEE Transactions on Magnetics, 2012, 48(2): 875-878. [10] Ranran Lin, Antero Arkkio. 3-D finite element analysis of magnetic forces on stator end-windings of an induction machine[J]. IEEE Transactions on Magnetics, 2008, 44(11): 4045-4048. [11] Rumena D Stancheva, Ilona I Iatcheva. 3-D electromagnetic force distribution in the end region of turbogenerator[J]. IEEE Transactions on Magnetics, 2009, 45(3): 1000-1003. [12] Huang Xueliang, Hu Minqiang. Study on electromag- netic force and vibration turbogenerator end windings under impact load(Ⅱ): analysis of vibration of end windings under impact load[J]. Journal of Southeast University(English Edition), 2002, 18(1): 64-68. [13] 胡宇达, 邱家俊, 等. 汽轮发电机端部绕组鼻端引水线的电磁力与固有特性[J]. 机械强度, 2002, 24(4): 481-484. Hu Yuda, Qiu Jiajun, et al. Electromagnetic force and inherent characteristic of turbogenerator end winding diversion water pipe[J]. Journal of Mechanical Strength, 2002, 24(4): 481-484. [14] 胡彦超, 陈章位. F4三相同步电机定子端部绕组线圈实验模态分析[J]. 振动与冲击, 2011, 30(12): 261-264. Hu Yanchao, Chen Zhangwei. Experimental modal analysis for end winding coil of a F4 three-phase synchronous motor stator[J]. Journal of Vibration and Shock, 2011, 30(12): 261-264. [15] 章名涛, 肖如鸿. 电机的电磁场[M]. 北京: 机械工业出版社, 1988. [16] 汤蕴璆, 梁艳萍. 电机电磁场的分析与计算[M]. 北京: 机械工业出版社, 2010. [17] 胡宇达, 邱家俊, 卿光辉. 大型汽轮发电机定子端部绕组整体结构的电磁振动[J]. 中国电机工程学报, 2003, 23(7): 93-98. Hu Yuda, Qiu Jiajun, Qing Guanghui. Electromagnetic vibration of integrity end winding of large turbo-generator stator[J]. Proceedings of the CSEE, 2003, 23(7): 93-98. [18] 梁艳萍, 黄浩, 李林合, 等. 大型空冷汽轮发电机端部磁场数值计算[J]. 中国电机工程学报, 2007, 27(3): 73-77. Liang Yanping, Huang Hao, Li Linhe, et al. Numerical calculation of end region of large air-cooled turbogenerator[J]. Proceedings of the CSEE, 2007, 27(3): 73-77. [19] Ranran Lin, Antti Nestori Laiho, Ari Haavisto, et al. End-winding vibrations caused by steady-state magnetic forces in an induction machine[J]. IEEE Transactions on Magnetics, 2010, 46(7): 2665-2674.
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