|
|
|
| Transmission path analysis on the radial vibration of a francis turbine |
| ZHI Baoping1，2,QIN Jingjing1,LI Zhengxing3,YU Yang1 |
1.Engineering Technology Research Center of Small Watershed Conservancy University of Henan Province, Kaifeng 475004, China;
2.Tibet Water Conservancy and Hydropower Planning & Design Institute, Lasa 850000, China;
3.Spic Yunnan International Ayeyawady Hydropower Construction Branch Company, Tengchong 679100, China |
|
|
|
Abstract In order to analyze the radial vibration characteristics of an umbrella hydro-generator unit with a Francis turbine, and study the multipath gradient ordering of unbalanced radial force in frequency domain, the theoretical analysis and numerical calculation on the transfer path of radial vibration were carried out by using the random parameters structure analysis method in mixed additive and equivalent form, based on the basic theory of vibration and generalized probabilistic perturbation method, applying the Kronecker algebra, matrix calculus and other methods, and introducing mixed disturbance factors which considered the correlation between the disturbance quantity and parameters. The uncertainties of parameters such as mass, damping, and stiffness were considered simultaneously. Through an example, the transmissibility and transmissibility variance of the radial vibration path as well as their ranges were given in frequency domain. The feasibility of the method was clarified. The study offers technical support for the unit transmission path analysis and the vibration control of hydropower stations.
|
|
Received: 19 March 2018
Published: 15 November 2019
|
|
|
|
[1] Xiao Y X, Wang Z W, Zhang J, Luo Y Y. Numerical predictions of pressure pulses in a Francis pump turbine with misaligned guide vanes [J]. Journal of Hydrodynamics, 2014, 26(2):250-256.
[2] 王海军,练继建,杨敏,王日宣. 混流式水轮机轴向动荷载识别[J]. 振动与冲击, 2007, 26(4):123-125.
Wang H J, Lian J J, Yang M, Wang R X. Francis turbine axial dynamic load identification [J]. Journal of Vibration and Shock. 2007, 26(4):123-125. ( in Chinese)
[3] 宋志强，刘云贺. 考虑电磁刚度的水电机组转子轴承系统弯扭耦合振动研究 [J]. 水力发电学报, 2014, 33(6):224-231.
Song Z Q, Liu Y H. Investigation of bending-torsional coupled vibration of hydro generators rotor-bearing system considering electromagnetic stiffness [J]. Journal of Hydroelectric Engineering, 2014, 33(6): 224-231. (in Chinese)
[4] 李兆军,蔡敢为,杨旭娟, 蓝永庭. 混流式水轮发电机组主轴系统非线性全局耦合动力模型[J]. 机械强度, 2008, 30(2):175-183.
Li Z J, Cai G W, Yang X J, Lan Y T. Nonlinear Global Coupling Equations of a Main Shaft System of Hydraulic Turbine-Generator Units [J]. Journal of Mechanical Strength, 2008, 30(2):175-183. (in Chinese)
[5] 马震岳,董毓新. 水电站机组及厂房振动的研究与治理[M]. 北京:中国水利水电出版社, 2004.
Ma Z Y, Dong Y X. Vibration and its Corrective Actions of Water Turbine Generator Set and Power House [M]. Beijing: China Water Power Press. 2004. (in Chinese)
[6] 王海军, 涂凯, 练继建. 基于结构声强的水电站厂房振动传递路径研究[J]. 水利学报, 2015, 46(10):1247-1252.
Wang H J，Tu K，Lian J J. Research on transfer path of vibrations of hydropower house based on structural intensity [J]. ShuiLi XueBao, 2015, 46(10):1247-1252. (in Chinese)
[7] 张燎军, 魏述和, 陈东升. 水电站厂房振动传递路径的仿真模拟及结构振动特性研究[J]. 水力发电学报, 2012, 31(1):108-113.
Zhang L J, Wei S H, Chen D S. Simulation of transmission path and study on structural vibrations of hydropower house [J]. Journal of Hydroelectric Engineering, 2012, 31(1):108-113. (in Chinese)
[8] Xiao N, Muhanna R L, Fedele F, Mullen R L. Uncertainty Analysis of Static Plane Problems by Intervals [J]. Sae International Journal of Materials & Manufacturing, 2015, 8(2):374-381.
[9] Gao W, Zhang Z, Ji H, Zhou Y, Liu Q. Optimal quasi-periodic preventive maintenance policies for a repairable system with stochastic maintenance interval [J]. Eksploatacja i Niezawodnosc- Maintenance and Reliability, 2015, 17(3):389-397.
[10] 郭书祥, 吕震宙. 区间运算和静力区间有限元[J]. 应用数学和力学, 2001, 22(12): 1249-1254.
Guo S X, Lv Z Y. Interval arithmetic and static interval finite element method [J]. Applied mathematics and mechanics, 2001, 22(12): 1249-1254. (in Chinese)
[11] 职保平, 周志琦, 李颖,张宏战. 基于区间参数的水电机组振动传导研究[J]. 振动与冲击, 2017, 36(7):21-25.
Zhi B P, Zhou Z Q, Li Ying, Zhang H Z. Vibration path transmissibility analysis for hydropower stations based on interval parameters [J]. Journal of Vibration and Shock, 2017, 36(7):21-25. (in Chinese)
[12] 钟苏,马震岳.水电机组水导支撑系统的横向刚度研究[J].大电机技术,1992(05):43-47.
Zhong S, Ma Z Y. Study on Lateral rigidity of turbine bearing supporting system in hydrogenating set [J]. Large electric machine and hydraulic turbine ,1992(05):43-47. (in Chinese)
[13] E Karmer. Vibration calculation on Runners of vertical axis Hydraulic Machinery. 8th IAHR Symposium, 1976.
[14] Luigi Arosio. Special measurement on 170kw pump turbine. 8th IAHR Symposium, 1976.
[15] 小杉起庸. 电子计算机在水轮机和水泵水轮机结构设计中的应用.国外大电机, 1980(5)
Application of electronic computer in hydraulic turbine and water pump turbine structure design. Guowai Dadianji, 1980(5), (in Chinese)
[16] A Y ByroB. 用初参数法精确计算水枪发电机组转子的临界转速.国外大电机, 1974(2)
A Y ByroB. Precise calculation of the critical speed of the rotor on a water gun generator set using initial parameter method. Guowai Dadianji, 1974(2) (in Chinese)
[17] 信一冈山等.关于KPONG电站发电机轴超摆问题.国外大电机, 1983(5)
XY GS. Overswinging problems on Generator Shaft in KPONG Power Station, Guowai Dadianji, 1983(5) (in Chinese)
[18] M UTECHT. 依泰普水轮发电机组的振动分析.国外大电机, 1984(3)
M UTECHT. The vibration analysis of the Itaipu hydro-generator unit. Guowai Dadianji, 1984(3) (in Chinese)
[19] 鲁布格水电机组轴系振动计算,哈尔滨大电机研究所,1986.
Shaft vibration calculation of Lubuge hydropower unit. Harbin Institute of Electrical Engineering. (in Chinese)
[20] 上田庸夫.500米水头20.6万千瓦水泵水轮机及12.6万千瓦发电机组电动机工地试验.东方电机, 1981(1)
ST YF. Site test on 500m water head 206000MW water pump turbine and 126000MW generator. Dongfang Motor, 1981(1) (in Chinese)
[21] 水利水电科学研究院,刘家峡水电厂等. 刘家峡水电厂2号机振动试验报告,1990
Institute of Water Resources and Hydropower Research, Liujiaxia Hydropower Plant, etc. Vibration Test Report of No. 2 Unit in Liujiaxia Hydropower Plant (in Chinese)
|
|
|
|
