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| Identification of physical parameters and establishment of mathematical model for stator end winding of large turbogenerator |
| ZHAO Yang1,2,3,LIU Jinhui1,XIAO Yang1,DENG Congying1,MA Ying1 |
| 1.School of Advanced Manufacturing Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;
2.Institute for Advanced Sciences,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;
3.State Key Lab for Strength and Vibration of Mechanical Structures,Xi’an Jiaotong University,Xi’an 710049,China |
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Abstract The proposed method is based on the frequency response function (FRF) of the digital model of the structure. The modal parameters which are identified by the least square complex frequency domain method are used to modify the physical parameters derived from the lumped mass method, to establish a mathematical model consistent with the dynamic behavior of the structure. Firstly, the method is verified on the clamped-clamped beam model. Then, the fine finite element model of a 600MW large turbogenerator stator end winding is established, and the modal parameters calculated by the finite element method are compared with the measured results to verify the reliability of the model. After that, based on the FRF calculated by the finite element model and the model parameters, the physical parameters of the end winding are identified and its mathematical model is established. The results show that: 1. Compared the end winding modes identified by the least squares complex frequency domain method to the finite element results in the frequency range of 75 ~ 115Hz, the largest errors of natural frequency and damping ratio are 0.27% and 0.5% respectively which appear in the first mode. And the modal shapes are close to each other. 2. The maximum error of the natural frequency between the mathematical model and the finite element model is 0.27%, and the modal shapes are consistent. 3. The matching degree of the FRF at the measuring points between the mathematical model and the finite element results can reach 95%, and the others also can exceed 85%. This method can provide a basis for accurate modeling of large turbogenerator stator end winding dynamic characteristics.
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Received: 26 April 2023
Published: 15 March 2024
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| [1] 万书亭, 姚肖方, 豆龙江. 发电机定子端部绕组电磁力特性与鼻端扭矩计算[J]. 振动.测试与诊断, 2014, 34(5): 920-925+980.
WAN Shuting, YAO Xiaofang, DOU Longjiang. Computation and characteristic analysis on electromagnetic force and nose torque of stator end windings in turbo-generator[J]. Journal of Vibration, Measurement & Diagnosis, 2014, 34(5): 920-925+980.
[2] 何玉灵, 张文, 张钰阳, 等. 发电机定子匝间短路对绕组电磁力的影响[J]. 电工技术学报, 2020, 35(13): 2879-2888.
He Yuling, ZHANG Wen, ZHANG Yuyang, et al. Effect of stator inter-turn short circuit on winding electromagnetic forces in generators[J]. Transactions of China Electrotechnical Society, 2020, 35(13): 2879-2888.
[3] 邱家俊, 胡宇达, 卿光辉. 电磁力激发下汽轮发电机定子端部绕组的磁固耦合振动[J]. 振动工程学报, 2002, 15(3): 23-29.
QIU Jiajun, HU Yuda, QING Guanghui. Magnetism and solid coupling vibration of turbogenerator stator end windings under electromagnetic force[J]. Journal of Vibration Engineering, 2002, 15(3): 23-29.
[4] 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+116.
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+116.
[5] 胡宇达, 邱家俊. 大型发电机定子端部绕组振动的叠层加筋圆锥壳模型[J]. 工程力学, 2005, 22(2): 189-194.
HU Yuda, QIU Jiajun. A stiffened laminated composite conical shell model for vibration of large generator end winding[J]. Engineering Mechanics, 2005, 22(2): 189-194.
[6] 王益轩, 朱继梅. 大型汽轮发电机定子端部绕组的动态仿真模型[J]. 机械工程学报, 2005, 41(9): 217-222.
WANG Yixuan, ZHU Jimei. Numerical simulation model of stator winding end baskets of large turbo-generator[J]. Journal of Mechanical Engineering, 2005, 41(9): 217-222.
[7] Wang Yixuan, Wang Ying, Lin Lin. Virtual prototype and modal analysis of stator system of large turbo-generator[J]. Applied Mechanics and Materials, 2012, 190-191: 232-236.
[8] 张青雷, 段建国, 周莹, 等. 新型汽轮发电机定子端部固定结构动力学特性研究及计算工具开发[J]. 中国电机工程学报, 2018, 38(5): 4555-4565.
ZHANG Qinglei, DUAN Jianguo, ZHOU Ying, et al. Dynamic characteristics research and calculating tool development of fixed structure of stator end in a novel turbine generator[J]. Proceedings of the CSEE, 2018, 38(5): 4555-4565.
[9] Zhou Ying, Zhang Qinglei, Duan Jianguo. Dynamical characteristics and influencing factors of stator end-windings of a turbine generator analyzed via heterogeneous element fusion modeling[J]. Energy Reports, 2021, 7(S7): 658 -672.
[10] Iga Y., Takahashi K., Yamamoto Y. Finite element modelling of turbine generator stator end windings for vibration analysis[J]. IET Electric Power Applications, 2015, 10(2): 75-81.
[11] 赵洋, 严波, 曾冲, 等. 大型汽轮发电机定子端部电磁力作用动态响应分析[J]. 电工技术学报, 2016, 31(5): 199-206.
ZHAO Yang, YAN Bo, ZENG Chong, et al. Dynamic response analysis of large turbogenerator stator end structure under electromagnetic forces[J]. Transactions of China Electrotechnical Society, 2016, 31(5): 199-206.
[12] Zhao Yang, Yan Bo, Zeng Chong, et al. Optimal scheme for structural design of large turbogenerator stator end winding[J]. IEEE Transactions on Energy Conversion, 2016, 31(4): 1423-1432.
[13] 陈力飞, 吴新亚, 董兴建, 等. 1200MW级汽轮发电机定子绕组端部模态分析[J]. 噪声与振动控制, 2018, 38(3): 193-197.
CHEN Lifei, WU Xinya, DONG Xingjian, et al. Modal analysis of the 1 200 MW turbo-generator stator end windings[J]. Noise and Vibration Control, 2018, 38(3): 193-197.
[14] 杨昔科, 赵保璇, 李新岩. 150MW级汽轮发电机定子绕组端部模态仿真与验证[J]. 电机技术, 2019, (5): 22-26.
YANG Xike, ZHAO Baoxuan, LI Xinyan. Model simulation on winding ends of the 150 MW turbine generator stator and verification of the simulation[J]. Electrical Machinery Technology, 2019, (5): 22-26.
[15] 张乐, 苗虹, 何启源, 等. 基于ANSYS的汽轮发电机定子绕组端部模态分析[J]. 重庆理工大学学报(自然科学), 2020, 34(9): 252-258.
ZHANG Le, MIAO Hong, HE Qiyuan, et al. Modal analysis of stator winding end of turbogenerator based on ANSYS[J]. Journal of Chongqing University of Technology(Natural Science), 2020, 34(9): 252-258.
[16] Hu Shenglong, Zuo Shuguang, Liu Mingtian, et al. Method for acquisition of equivalent material parameters considering orthotropy of stator core and windings in SRM[J]. IET Electric Power Applications, 2019, 13(4): 580-586.
[17] Lange S., Pfost M. Validation and verification of a structural mechanical stator end-winding region model[C]// 2019 IEEE International Electric Machines & Drives Conference (IEMDC). San Diego, USA: IEEE, 2019: 928-934.
[18] Lange S., Pfost M. Analysis of the thermal influence on the vibrational behavior of the stator end-winding region[C]// 2019 International Aegean Conference on Electrical Machines and Power Electronics (ACEMP) & 2019 International Conference on Optimization of Electrical and Electronic Equipment (OPTIM). Istanbul, Turkey: IEEE, 2020: 108-113.
[19] Zhao Yang, Xiao Yang, Lu Sheng, et al. Investigation on large turbo-generator stator end winding dynamic characteristics based on response surface method[J]. Journal of Power Electronics, 2021, 21(10): 1473-1493.
[20] 孙鑫晖, 郝木明, 王淮维. PolyMAX模态参数识别算法的快速实现[J]. 振动与冲击, 2011, 30(10): 6-8+18.
SUN Xinhui, HAO Muming, WANG Huaiwei. Fast implementation for PolyMAX modal identification algorithm[J]. Journal of Vibration and Shock, 2011, 30(10): 6-8+18.
[21] 王頲, 王惠, 赵洋, 等. 大型汽轮发电机定子端部绕组的数字化建模及振动特性分析[J]. 振动与冲击, 2023, 42(7): 143-153.
WANG Ting, WANG Hui, ZHAO Yang, et al. Digital mechanism modeling and vibration characteristic analysis for stator end winding of large turbo-generator[J]. Journal of Vibration and Shock, 2023, 42(7): 143-153.
[22] 袁永新, 戴华. 用振动测量数据最优修正质量矩阵[J]. 振动与冲击, 2006, 25(3): 14-17+203.
YUAN Yongxin, DAI Hua. Optimal correction of mass matrix using modal test data[J]. Journal of Vibration and Shock, 2006, 25(3): 14-17+203.
[23] 袁永新, 戴华. 用振动测量数据最优修正振型矩阵与质量矩阵[J]. 工程数学学报, 2007, 24(4): 631-638.
YUAN Yongxin, DAI Hua. Optimal correction for modal matrix and mass matrix using test data[J]. Chinese Journal of Engineering Mathematics, 2007, 24(4): 631-638. |
| [1] |
. [J]. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 21-. |
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