Simple criterion for evaluating stability of hydraulic oscillation based on water-hammer reflection coefficients

References

• Brunone, B., Maietta, F., Capponi, C., Keramat, A., & Meniconi, S. (2022). A review of physical experiments for leak detection in water pipes through transient tests for addressing future research. Journal of Hydraulic Research, 60(6), 894–906. https://doi.org/10.1080/00221686.2022.2067086
   Web of Science ®Google Scholar
• Cepa, Z. (2012). Changing the start-up procedure of francis reversible pump-turbine to improve its stability in turbine mode. In Proceedings of IGHEM. Trondheim, Norway.
   Google Scholar
• Chaudhry, M. H. (2014). Applied hydraulic transients. Springer.
   Google Scholar
• Contractor, D. N. (1965). The reflection of water hammer pressure waves from minor losses. Journal of Basic Engineering, 87(2), 445–451. https://doi.org/10.1115/1.3650568
   Web of Science ®Google Scholar
• Dörfler, P. K., Engineer, A. J., Pendse, R. N., Huvet, P., & Brahme, M. V. (1998). Stable operation achieved on a single-stage reversible pump-turbine showing instability at no-load. In Proceeding of the 19th IAHR symposium on hydraulic machinery and Systems (Singapore, 1998) (pp. 430–440).
   Google Scholar
• Kubrak, M., Kodura, A., Malesinska, A., & Urbanowicz, K. (2022). Water hammer in steel–plastic pipes connected in series. Water, 14(19), 3107. https://doi.org/10.3390/w14193107
   Web of Science ®Google Scholar
• Li, D., Gong, R., Wang, H., Han, L., Wei, X., & Qin, D. (2016). Analysis of vorticity dynamics for hump characteristics of a pump turbine model. Journal of Mechanical Science and Technology, 30(8), 3641–3650. https://doi.org/10.1007/s12206-016-0725-1
   Web of Science ®Google Scholar
• Li, G. X. (2008). Researh on the water body resonance in penstock system of three gorges hydropower station [Ph.D. dissertation, Huazhong University of Science and Technology].
   Google Scholar
• Lou, Y., Cao, Q. Z., Lei, X., et al. (2020). Study on self-excited vibration caused by leakage of ball valve in pumped storage power station based on CFD. Hydropower and Pumped Storage, 6(4), 78–82. (In Chinese). https://doi.org/10.3969/j.issn.2096-093X.2020.04.014
   Google Scholar
• Martin, C. S. (2000). Instability of pump-turbines with S-shaped characteristics. In Proceeding of the 20th IAHR symposium, Hydraulic Machinery and Systems, Charlotte, NC.
   Google Scholar
• Muller, A. (2014). Physical mechanisms governing self-excited pressure oscillations in Francis turbines [Ph.D. dissertation, EPFL].
   Google Scholar
• Nicolet, C., Alligné, S., Kawkabani, B., Koutnik, J., Simond, J. J., & Avellan, F. (2009). Stability study of Francis pump-turbine at runaway. In 3rd International meeting IAHR workgroup on cavitation and dynamic problems in hydraulic machinery and systems. (No. CONF).
   Google Scholar
• Nielsen, T. K., & Svarstad, M. F. (2014). Unstable behaviour of RPT when testing turbine characteristics in the laboratory. In IOP conference series: earth and environmental science (Vol. 22, No. 3, p. 032038). IOP Publishing.
   Google Scholar
• Olimstad, G., Nielsen, T., & Borresen, B. (2012). Stability limits of reversible-pump turbines in turbine mode of operation and measurements of unstable characteristics. Journal of Fluids Engineering, 134(11), 111202. https://doi.org/10.1115/1.4007589
   Web of Science ®Google Scholar
• Si, J., Yu, Y. H., & Wang, J. X. (2015). Analysis of self-excited vibration caused by leakage of flexible valve in pump system. Journal of Drainage and Irrigation Machinery Engineering, 33(8), 681–684, 690. (In Chinese). https://doi.org/10.3969/j.issn.1674-8530.14.0174
   Google Scholar
• Staubli, T., Widmer, C., Tresch, T., & Sallaberger, M. (2010). Starting pump-turbines with unstable characteristics. In Hydro 2010, 1(1), 1–9.
   Google Scholar
• Sun, X., Jiang, C. J., & Zhao, F. (2018). Self-excited oscillation analysis and suppression of sealing device for ball valves in Tongbai pumped storage power station. Hydropower and Pumped Storage, 4(6), 75–78. (In Chinese). https://www.CNKI:SUN:DBGC.0.2018-06-018
   Google Scholar
• Suo, L. S., & Wylie, E. B. (1989). Impulse response method for frequency-dependent pipeline transients. Journal of Fluids Engineering, 111(4), 478–483. https://doi.org/10.1115/1.3243671
   Google Scholar
• Swaffield, J., & Boldy, A. (1993). Pressure surges in pipe and duct systems. Gower Press.
   Google Scholar
• Wylie, E. B., Streetr, V. L., & Suo, L. S. (1993). Fluid transient in systems. Prentice Hall.
   Google Scholar
• Xia, Z. P., Yan, W. J., Yang, J. B., Cheng, Y., Huang, G., & Yang, J. (2021). Analysis of power oscillation of generating units at Bailianhe pumped storage power station. Journal of Hydroelectric Engineering, 40(2), 141–148. (In Chinese). https://doi.org/10.11660/slfdxb.20210214
   Google Scholar
• Yang, Z., Cheng, Y., Liu, K., Hou, X., Zhang, X., Wang, X., & Ding, J. (2021). Three-dimensional CFD simulations of start-up processes of a pump-turbine considering governor regulation. Energies, 14(24), 8507. https://doi.org/10.3390/en14248507
   Web of Science ®Google Scholar
• Yang, Z., Liu, Z., Cheng, Y., Zhang, X., Liu, K., & Xia, L. (2020). Differences of flow patterns and pressure pulsations in four prototype pump-turbines during runaway transient processes. Energies, 13(20), 5269. https://doi.org/10.3390/en13205269
   Web of Science ®Google Scholar
• Zeng, W., Yang, J., & Guo, W. (2015). Runaway instability of pump-turbines in S-shaped regions considering water compressibility. Journal of Fluids Engineering, 137(5), 051401. https://doi.org/10.1115/1.4029313
   Web of Science ®Google Scholar
• Zeng, W., Zecchin, A. C., Gong, J., Lambert, M. F., Simpson, A. R., & Cazzolato, B. S. (2020). Inverse wave reflectometry method for hydraulic transient-based pipeline condition assessment. Journal of Hydraulic Engineering, 146(8), 04020056. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001785
   Web of Science ®Google Scholar
• Zhou, J. X. (2011). Analysis on hydraulic characteristics and stability of hydropower station with long water conveyance system. China Water and Power Press. (In Chinese).
   Google Scholar
• Zhou, J. X., Karney, B. W., Hu, M., & Xu, J. C. (2011). Analytical study on possible self-excited oscillation in S-shaped regions of pump-turbines. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 225(A8), 1132–1142. https://doi.org/10.1177/0957650911419442
   Web of Science ®Google Scholar
• Zhou, J. Y., & Zheng, H. J. (2014). Analysis on defect elimination and improvement of main inlet valve in pumped-storage power stations during initial operation period. Water Power, 40(4), 65–68. (In Chinese). https://doi.org/10.3969/j.issn.0559-9342.2014.04.018
   Google Scholar
• Zhu, Y. Y., Fan, H. G., & Chen, N. X. (2006). Prevention of self-excited oscillations in complicated water diversion channels of pumped storage power stations. Journal of Tsinghua University (Science and Technology), 46(8), 1434–1437. (In Chinese). https://doi.org/10.3321/j.issn:1000-0054.2006.08.024
   Google Scholar