Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 3494785, 10 pages
https://doi.org/10.1155/2018/3494785
Research Article

A Novel Multidimensional Frequency Band Energy Ratio Analysis Method for the Pressure Fluctuation of Francis Turbine

1Key Laboratory of Transients in Hydraulic Machinery, Wuhan University, Ministry of Education, Wuhan 430072, China
2Jiangxi Province Key Laboratory of Precision Drive & Control, Nanchang 330029, China
3Zhejiang Energy Beihai Hydropower Co., Ltd., Hangzhou 320002, China

Correspondence should be addressed to Qijuan Chen; nc.ude.uhw@nehcjq

Received 27 August 2017; Revised 27 November 2017; Accepted 26 December 2017; Published 21 January 2018

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2018 Weiyu Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Dai, X. Xie, Y. Xie, J. Liu, and T. Masui, “Green growth: The economic impacts of large-scale renewable energy development in China,” Applied Energy, vol. 162, pp. 435–449, 2016. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Luoping and G. Ming, “The analysis of hydraulic stability of hydroturbine,” Journal of Changchun Institute of Technology (Sci & Tech), vol. 3, no. 4, pp. 41–43, 2002. View at Google Scholar
  3. Z. Liang, W. Weizhang, W. Yulin et al., “Prediction of pressure fluctuation of Francis turbin,” Large Electric Machine and Hydraulic Turbine, vol. 162, pp. 435–449, 2016. View at Google Scholar
  4. Z. Shuangquan, Research on Hydraulic Stability of Large Francis Turbine, Huazhong University of Science and Technology, 2008.
  5. F.-J. WANG, X.-Q. LI, J.-M. MA, M. YANG, and Y.-L. ZHU, “Experimental Investigation of Characteristic Frequency in Unsteady Hydraulic Behaviour of a Large Hydraulic Turbine,” Journal of Hydrodynamics, vol. 21, no. 1, pp. 12–19, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. W. Linghua, “Vibration and analysis of hydraulic generator unit,” The Yellow River Conservancy Press, 2011. View at Google Scholar
  7. A. V. Minakov, D. V. Platonov, A. A. Dekterev, A. V. Sentyabov, and A. V. Zakharov, “The analysis of unsteady flow structure and low frequency pressure pulsations in the high-head Francis turbines,” International Journal of Heat and Fluid Flow, vol. 53, pp. 183–194, 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. J. Liu, H. C. Shu, H. J. Wang et al., “Effect of pressure fluctuation in hydraulic turbine draft tube on low-frequency oscillation of electric power system,” Water Resources & Hydropower Engineering, vol. 40, no. 4, pp. 58–61, 2009. View at Google Scholar
  9. A. Müller, A. Favrel, C. Landry, and F. Avellan, “Fluid–structure interaction mechanisms leading to dangerous power swings in Francis turbines at full load,” Journal of Fluids and Structures, vol. 69, pp. 56–71, 2017. View at Publisher · View at Google Scholar · View at Scopus
  10. R.-K. Zhang, Q.-D. Cai, J.-Z. Wu, Y.-L. Wu, S.-H. Liu, and L. Zhang, “The physical origin of severe low-frequency pressure fluctuations in giant francis turbines,” Modern Physics Letters B, vol. 19, no. 28-29, pp. 1527–1530, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. R. Zhang, F. Mao, J. Wu, S. Chen, Y. Wu, and S. Liu, “Characteristics and control of the draft-tube flow in part-load Francis turbine,” Journal of Fluids Engineering, vol. 131, no. 2, 13 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Cohen, “Time-frequency distributions: a review,” Proceedings of the IEEE, vol. 77, no. 7, pp. 941–981, 1989. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. K. Peng, P. W. Tse, and F. L. Chu, “A comparison study of improved Hilbert-Huang transform and wavelet transform: application to fault diagnosis for rolling bearing,” Mechanical Systems and Signal Processing, vol. 19, no. 5, pp. 974–988, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. R. Ricci and P. Pennacchi, “Diagnostics of gear faults based on EMD and automatic selection of intrinsic mode functions,” Mechanical Systems and Signal Processing, vol. 25, no. 3, pp. 821–838, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. Y. Lei, Z. He, and Y. Zi, “Application of the EEMD method to rotor fault diagnosis of rotating machinery,” Mechanical Systems and Signal Processing, vol. 23, no. 4, pp. 1327–1338, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. V. K. Rai and A. R. Mohanty, “Bearing fault diagnosis using FFT of intrinsic mode functions in Hilbert-Huang transform,” Mechanical Systems and Signal Processing, vol. 21, no. 6, pp. 2607–2615, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. G. Georgoulas, T. Loutas, C. D. Stylios, and V. Kostopoulos, “Bearing fault detection based on hybrid ensemble detector and empirical mode decomposition,” Mechanical Systems and Signal Processing, vol. 41, no. 1-2, pp. 510–525, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. Z. Liang, J. Liang, L. Zhang, C. Wang, Z. Yun, and X. Zhang, “Analysis of multi-scale chaotic characteristics of wind power based on Hilbert-Huang transform and Hurst analysis,” Applied Energy, vol. 159, pp. 51–61, 2015. View at Publisher · View at Google Scholar · View at Scopus
  19. P. Lu, W. Li, X. Zheng, X. Chen, and C. Zhao, “Experimental research and HHT analysis on the flow characteristics of pneumatic conveying under high pressure,” Applied Thermal Engineering, vol. 108, pp. 502–507, 2016. View at Publisher · View at Google Scholar · View at Scopus
  20. Z.-P. Feng and F.-L. Chu, “Transient hydraulic pressure fluctuation signal analysis of hydroturbine based on Hilbert-Huang transform,” Proceedings of the CSEE, vol. 25, no. 10, pp. 111–115, 2005. View at Google Scholar · View at Scopus
  21. L. Qizhang, “Research on the hydraulic stability of Francis turbine,” China Water Power Press, vol. 239, 2014. View at Google Scholar
  22. H. Ohashi, Vibration and Oscillation of Hydraulic Machinery, Avebury Technical, Michigan, MI, USA, 1991.
  23. D. Jinzhou, W. Weiyu, and C. Qijuan, “Application of improved EMD De-Nosing method in pressure fluctuation signal of draft tube,” Water Resource and Power, vol. 35, no. 5, pp. 157–160, 2017. View at Google Scholar
  24. Q. Min, “Methods to reduce pressure pulsation in high load zone of Francis turbine models,” Dong Fang Electric Review, vol. 24, no. 3, pp. 25–30, 2010. View at Google Scholar
  25. H. Chenglian, G. Changnian, and Fangyuan, “Pressure fluctuation of Francis turbine under low load,” Electromechanical Technology of Hydropower Station, vol. s1, pp. 31–33, 2003. View at Google Scholar
  26. Q. Liang and W. Zhengwei, “Strong pressure fluctuations at the rotation frequency of hydropower units,” J Tsinghua Univ (Sci & Tech), vol. 48, no. 2, pp. 215–218, 2008. View at Google Scholar
  27. Z. Yuan, B. Wang, and Q. Bo, “Review of research on pressure fluctuation of draft tube of Francis turbine,” Water Power, vol. 33, no. 2, pp. 66–69, 2007. View at Google Scholar
  28. L. Qizhang, “Research on the Carmen vortex resonance of Da Chao Shan runner blade,” in Proceedings of the 18th Academic Symposium of Chinese Hydropower Equipment, 2004.
  29. W. Peihao, “Higher part load pressure pulsations,” in Proceedings of the 18th Academic Symposium of Chinese Hydropower Equipment, 2004.
  30. N. E. Huang, Z. Shen, S. R. Long et al., “The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis,” Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences, vol. 454, no. 1971, pp. 903–995, 1998. View at Google Scholar
  31. N. E. Huang, M. L. C. Wu, S. R. Long et al., “A confidence limit for the empirical mode decomposition and Hilbert spectral analysis,” Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences, vol. 459, no. 2037, pp. 2317–2345, 2003. View at Google Scholar
  32. Z. H. Wu and N. E. Huang, “Ensemble empirical mode decomposition: a noise-assisted data analysis method,” Advances in Adaptive Data Analysis (AADA), vol. 1, no. 1, pp. 1–41, 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. J. Wang and F. Zou, “A rotor fault feature extraction method based on the Hilbert marginal spectrum,” Applied Mechanics and Materials, vol. 201-202, pp. 255–258, 2012. View at Publisher · View at Google Scholar · View at Scopus
  34. H. Li, Y. Zhang, and H. Zheng, “Hilbert-Huang transform and marginal spectrum for detection and diagnosis of localized defects in roller bearings,” Journal of Mechanical Science and Technology, vol. 23, no. 2, pp. 291–301, 2009. View at Publisher · View at Google Scholar · View at Scopus
  35. J. Z. Xia, S. U. Tao, Y. Zhang et al., “Fault diagnosis method of rolling bearings based on ensemble empirical mode decomposition energy entropy and LS-SVM,” Noise & Vibration Control, 2014. View at Google Scholar