Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 1504659, 13 pages
http://dx.doi.org/10.1155/2016/1504659
Research Article

Transient Simulations in Hydropower Stations Based on a Novel Turbine Boundary

State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

Received 11 March 2016; Accepted 31 May 2016

Academic Editor: Jian Guo Zhou

Copyright © 2016 Yanna Liu 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. J. Yang, K. Zhao, and L. Li, “Analysis of the causes of accident for Unit 7 and 9 in Sayano-Shushenskaya hydropower station,” in Proceedings of the Advances in Sciences and Engineering, SREE Conference on Engineering Progress, vol. 2, pp. 17–26, Hong Kong, December 2010.
  2. C. Nicolet, S. Alligne, A. Bergant, and F. Avellan, “Simulation of water column separation in Francis pump-turbine draft tube,” IOP Conference Series: Earth and Environmental Science, vol. 15, no. 2, Article ID 022002, 2012. View at Publisher · View at Google Scholar
  3. Y. J. Fang and J. Koutnik, “The numerical simulation of the delayed load rejection of a pump-turbine powerplant,” IOP Conference Series: Earth and Environmental Science, vol. 15, no. 2, Article ID 022018, 2012. View at Publisher · View at Google Scholar
  4. W. Zeng, J. Yang, and W. Guo, “Runaway instability of pump-turbines in S-shaped regions considering water compressibility,” Journal of Fluids Engineering, vol. 137, no. 5, Article ID 051401, 2015. View at Publisher · View at Google Scholar · View at Scopus
  5. Q. Liu, L. Suo, D. Liu, and H. Chen, Hydropower Station, China WaterPower Press, Beijing, China, 3rd edition, 2007 (Chinese).
  6. C. Duan, “An analytical formula for calculating water hammer in conduit of hydraulic turbine,” A Monthly Journal of Science, vol. 25, no. 3, pp. 248–254, 1980. View at Google Scholar
  7. R. W. Angus, “Water hammer in pipes, including those supplied by centrifugal pumps: graphical treatment,” Proceedings of the Institution of Mechanical Engineers, vol. 136, no. 1, pp. 245–331, 1937. View at Publisher · View at Google Scholar
  8. C. Jaeger, Fluid Transients in Hydroelectric Engineering Practice, Blackie, Glasgow, Scotland, 1977.
  9. E. B. Wylie and V. L. Streeter, Fluid Transient, McGraw-Hill International Book, New York, NY, USA, 1978.
  10. D. E. Goldberg and E. B. Wylie, “Characteristics method using time-line interpolations,” Journal of Hydraulic Engineering, vol. 109, no. 5, pp. 670–683, 1983. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Lai, “Comprehensive method of characteristics models for flow simulation,” Journal of Hydraulic Engineering, vol. 114, no. 9, pp. 1074–1097, 1988. View at Publisher · View at Google Scholar · View at Scopus
  12. J.-C. Yang and E.-L. Hsu, “Time-line interpolation for solution of the dispersion equation,” Journal of Hydraulic Research, vol. 28, no. 4, pp. 503–520, 1990. View at Publisher · View at Google Scholar · View at Scopus
  13. B. W. Karney and M. S. Ghidaoui, “Flexible discretization algorithm for fixed-grid MOC in pipelines,” Journal of Hydraulic Engineering, vol. 123, no. 11, pp. 1004–1011, 1997. View at Publisher · View at Google Scholar · View at Scopus
  14. M. H. Chaudhry, Applied Hydraulic Transients, Springer, New York, NY, USA, 3th edition, 2014. View at Publisher · View at Google Scholar
  15. M. H. Chaudhry and M. Y. Hussaini, “Second-order accurate explicit finite-difference schemes for waterhammer analysis,” Journal of Fluids Engineering, vol. 107, no. 4, pp. 523–529, 1985. View at Publisher · View at Google Scholar · View at Scopus
  16. V. Guinot, “Riemann solvers for water hammer simulations by Godunov method,” International Journal for Numerical Methods in Engineering, vol. 49, no. 7, pp. 851–870, 2000. View at Google Scholar · View at Scopus
  17. Y.-H. Hwang and N.-M. Chung, “A fast Godunov method for the water-hammer problem,” International Journal for Numerical Methods in Fluids, vol. 40, no. 6, pp. 799–819, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Zhao and M. S. Ghidaoui, “Godunov-type solutions for water hammer flows,” Journal of Hydraulic Engineering, vol. 130, no. 4, pp. 341–348, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. C. Wang and J.-D. Yang, “Water hammer simulation using explicit-implicit coupling methods,” Journal of Hydraulic Engineering, vol. 141, no. 4, Article ID 04014086, 2014. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Zhan and Z. He, “Mathematical model and simulation of large hydro turbine,” Water Power, vol. 31, no. 12, pp. 54–55, 2005 (Chinese). View at Google Scholar
  21. J. Chang, Transition Process of Hydraulic Machinery, Higher Education Press, Beijing, China, 2005 (Chinese).
  22. S. Derakhshan and A. Nourbakhsh, “Theoretical, numerical and experimental investigation of centrifugal pumps in reverse operation,” Experimental Thermal and Fluid Science, vol. 32, no. 8, pp. 1620–1627, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. X.-Q. Li, J.-S. Chang, C.-S. Li, P. Chen, and X.-L. Tang, “Hydraulic transient controlling rules coupled with ball-valve and guide-vane in pumped storage power station,” Journal of Hydraulic Engineering, vol. 45, no. 2, pp. 220–226, 2014 (Chinese). View at Publisher · View at Google Scholar · View at Scopus
  24. A. P. Boldy, “Representation of characteristics of reversible pump turbines for use in waterhammer simulation,” in Proceedings of the 4th International Conference on Pressure Surges, pp. 287–296, Bath, UK, September 1983.
  25. N. Walmsley, The numerical representation of pump-turbine performance characteristics [Ph.D. thesis], University of Warwick, Warwicks, UK, 1986.
  26. W. Weng and J. Yang, “Study on the partition of the characteristic curve and the numerical simulation of the boundary of the unit,” Water Resources and Hydropower Engineering, vol. 34, no. 2, pp. 54–56, 2003 (Chinese). View at Google Scholar
  27. J. Yang, J. Yang, and C. Wang, “Mathematical model and simulation of pump turbine with characteristic space curves,” Journal of Hydroelectric Engineering, vol. 32, no. 5, pp. 244–250, 2013 (Chinese). View at Google Scholar · View at Scopus
  28. J. Yang and J. Yang, “B-spline surface construction for the complete characteristics of pump-turbine,” in Proceedings of the Asia-Pacific Power and Energy Engineering Conference (APPEEC '12), pp. 1–5, Shanghai, China, March 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. D. Varberg, E. J. Purcell, and S. E. Rigdon, Calculus, Machinery Industry Press, Beijing, China, 1st edition, 2009.
  30. J. Liu, Study on the variety of characteristic curve and its effect on hydraulic transient process in pumped storage plant [M.S. thesis], Wuhan University, Wuhan, China, 2005 (Chinese).
  31. W. Zeng, J. Yang, J. Hu, and J. Yang, “Guide-vane closing schemes for pump-turbines based on transient characteristics in S-shaped region,” Journal of Fluids Engineering, vol. 138, no. 5, Article ID 051302, 2016. View at Publisher · View at Google Scholar · View at Scopus