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Investigation on large turbo-generator stator end winding dynamic characteristics based on response surface method

  • Zhao, Yang (School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications) ;
  • Xiao, Yang (School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications) ;
  • Lu, Sheng (School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications) ;
  • Sun, Hao (Chongqing General Industry (Group) Co., Ltd) ;
  • Huo, Wenhao (Chongqing General Industry (Group) Co., Ltd) ;
  • Liao, Yong (School of Electrical Engineering, Chongqing University)
  • Received : 2021.03.29
  • Accepted : 2021.08.01
  • Published : 2021.10.20

Abstract

The natural frequencies corresponding to the particular mode shapes of a large turbo-generator must not be in the resonance region before delivery. Different parameters may clearly affect these dynamic characteristics. Different from other studies, this paper introduces a method for obtaining the inherent characteristics of end winding in a short period of time under multiple simultaneously changing parameters. The proposed process is based on the response surface method (RSM). In this method, the main concerned natural frequencies were taken as the critical index to describe the dynamic behaviors of the end winding, with which the mathematical relationship between the dynamic characteristics and design variables was analyzed. First, the stiffness of the rings, stiffness of the radial braces and number of pins bonded to the radial braces were used as samples for orthogonal experimental design. Then, the natural modes and frequencies of 25 different samples were acquired by conducting modal analysis with ABAQUS software. Utilizing these dynamic results, a second-order polynomial response surface model was established to describe the relationships between natural frequencies and these three different parameters. Then, the quality of this model was verified by calculating the valuating indexes for comparison with support vector regression (SVR). With the response surface model, the variation regularities of the natural frequencies and modes due to the above parameters were discussed. The method proposed in this paper can enable natural frequencies in the whole design space to be quickly determined without finite-element analysis, greatly improving the development efficiency and laying a foundation for dynamic response prediction during normal operation with different parameters and additional large turbo-generator stator end winding optimization.

Keywords

Acknowledgement

This work is supported by the National Natural Science Foundation of China (Grant No.51807019), Chongqing Special Postdoctoral Science Foundation (Grant No.XmT2018030), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN201900632, KJZD-K201900604), and the Open Projects of State Key Laboratory for Strength and Vibration of Mechanical Structures (Grant No. SV2020-KF-15, SV2018-KF-29).

References

  1. Jiang, H.C., He, Y.L., Tang, G.J., Xu, M.X.: A comprehensive analysis on transient electromagnetic force behavior of stator windings in turbo-generator. Math. Probl. Eng. 2018(PT14), 1-16 (2018)
  2. Kapler, J., Letal, J., Sasic, M. Stone, G.C.: Recent endwinding vibration problems in air-cooled turbine generators. CIGRE 2014. Paris, (2014)
  3. Lin, R.R., Laiho, A.N., Haavisto, A., Arkkio, A.: End-winding vibrations caused by steady-state magnetic forces in an induction machine. IEEE Trans. Magn. 46(7), 2665-2674 (2010) https://doi.org/10.1109/TMAG.2010.2044043
  4. International Electrotechnical Commission Standard, IEC/TS 60034-32:2016, Rotating electrical machines- Part 32: Measurement of stator end-winding vibration at form-wound windings. (2016)
  5. Xie, Y., Xia, Y., Li, Z., Li, F.: Analysis of modal and vibration reduction of an interior permanent magnet synchronous motor. Energies 12(12), 3427 (2019) https://doi.org/10.3390/en12183427
  6. Jeong, J.P., Lee, D.H.: Position control for sliding roof systems to reduce vibration. J. Power Electron. 20, 133-141 (2020) https://doi.org/10.1007/s43236-019-00011-8
  7. Letal, J., Warren, V.: Optimize stator end winding vibration monitoring with impact testing. Power Test 2017. California, 1-15 (2017)
  8. Culbert, I.M., Lloyd, B. A., Stone G. C.: Relative merits of off-line and on-line testing of rotating machine stator and rotor windings. 2015 Petroleum and Chemical Industry Conference Europe (PCIC Europe). London, 1-7 (2015)
  9. Tetreault, A., Zhou, Z.P.: End-winding vibration monitoring: Pivotal in preventing major damage on a large turbo-generator. 2013 Electrical Insulation Conference, Ottawa, 1-6 (2013)
  10. Li, S.T., Li, J.Y.: Condition monitoring and diagnosis of power equipment: review and prospective. Inst. Eng. Technol. 2(2), 82-91 (2017)
  11. Senske, K.: Vibration behavior of the turbogenerator stator winding in case of electrical failures. Conference Internationale des Grands Reseaux Electriques, Yokohama, 1-12 (1997)
  12. Bahemmat, P., Mohammadi, M., Molki, H.: Finding a simplified model for a stator end winding field. Conference on Thermal Power Plants, Tehran, 1-6 (2012)
  13. Iga, Y., Takahashi, K., Yamamoto, Y.: Finite element modelling of turbine generator stator end windings for vibration analysis. IET Electr. Power Appl. 10(2), 75-81 (2016) https://doi.org/10.1049/iet-epa.2015.0142
  14. Sun, X.D., Shi, Z., Lei, G., Guo, Y.G., Zhu, J.G.: Multi-objective design optimization of an IPMSM based on multilevel strategy. IEEE Trans. Ind. Electron. 68(1), 139-147 (2021) https://doi.org/10.1109/tie.2020.2965463
  15. Diao, K.K., Sun, X.D., Lei, G., Guo, Y.G., Zhu, J.G.: Multimode optimization of switched reluctance machines in hybrid electric vehicles. IEEE Trans. Energy Convers. (2020). https://doi.org/10.1109/TEC.2020.046721
  16. Zhao, Y., Yan, B., Chen, C.L., Deng, J.A., Zhou, Q.W.: Parametric study on dynamic characteristics of turbogenerator stator end winding. IEEE Trans. Energy Convers. 29(1), 129-137 (2014) https://doi.org/10.1109/TEC.2013.2294334
  17. Marcos, A.B., Ricardro, E.S., Eliane, P.O.: Response surface methodology (RSM) as a tool for optimizati-on in analytical chemistry. Talanta 76, 965-977 (2008) https://doi.org/10.1016/j.talanta.2008.05.019
  18. Fang, S.Y., Chen, Y., Yang, Y.J.: Optimization design and energy-saving control strategy of high power dc contactor. Int. J. Electr. Power Energy Syst. 17, 1-8 (2020)
  19. Sun, X.D., Wu, J.L., Lei, G., Cai, Y.F., Chen, X.B., Guo, Y.G.: Torque modeling of a segmented-rotor SRM using maximum-correntropy-criterion-based LSSVR for torque calculation of EVs. IEEE Trans. Emerg. Sel. Topics Power Electron. 9(3), 2674-2684 (2021) https://doi.org/10.1109/JESTPE.2020.2977957
  20. Electric Power Industry Standard of People's Republic China, DL/T735-2000, Measurement and evaluation of the dynamic characteristic on stator end windings of the large turbo-generator. (2000)