Numerical Modeling for Hydraulic Resonance in Hydropower Systems Using Impulse Response
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 11
Abstract
An effective numerical method to compute hydraulic resonance in pressurized piping of hydropower systems is presented. For this purpose, the impulse response method is used, i.e., a unit pressure impulse is introduced at the downstream waterway as an exciter. The method of characteristics is used to solve the governing equations for the hydraulic transient and to get the pressure response of the system in the time domain. The discrete Fourier transform is used to compute the frequency response of the system which gives the resonance frequencies in the hydropower plant system. To increase the accuracy of the results, unsteady friction is incorporated into the methodology. The influence of the unsteady friction, wave speed, and power on the pressure response diagram is investigated for the waterway of a multiunit hydropower plant which has been recently installed. Computed results agree very well with those obtained from the standard method of the characteristics.
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Acknowledgments
The writers wish to extend their utmost gratitude to engineers at Farab Co. and also Hydraulic Machinery Research Institute (HMRI) help and support with this work.
References
Bergant, A., Simpson, A. R., and Vitkovsky, J. (2001). “Development in unsteady pipe flow friction modelling.” J. Hydraul. Res., 39(3), 249–257.
Bergant, A., Simpson, A. R., and Vitkovsky, J. P. (1999). “Review of unsteady friction models in transient pipe flow.” 9th Int. Meeting of the Work Group on the Behaviour of Hydraulic Machinery under Steady Oscillatory Conditions, IAHR, Czech Republic.
Brigham, E. O. (1974). The fast Fourier transform, Prentice-Hall, Englewood Cliffs, N.J.
Brunone, B., Golia, U. M., and Greco, M. (1991). “Some remarks on the momentum equation for fast transients.” Proc., Int. Conf. on Hydraulic Transients with Water Column Separation, IAHR, Valencia, Spain.
Chaudhry, M. H. (1970). “Resonance in pressurized piping systems.” J. Hydr. Div., 96(9), 1819–1839.
Chaudhry, M. H. (1972). “Resonance in pipes having variable characteristics.” J. Hydr. Div., 98(2), 325–333.
Chaudhry, M. H. (1987). Applied hydraulic transients, Van Nostrand Reinhold, New York.
Jaeger, C. (1948). “Water hammer effects in power conduits.” Civ. Eng. Public Works Rev., 23, 500–503.
Jaeger, C. (1963). “The theory of resonance in hydropower systems, discussion of incidents and accidents occurring in pressure systems.” J. Basic Eng., 85, 631–640.
Mohapatra, P. K., Chaudhry, M. H., and Moloo, J. (2006). “Detection of partial blockages in a branched piping system by the frequency response method.” J. Fluids Eng., 128(5), 1106–1114.
Nourbakhsh, A., Jaumotte, A., Hirsch, Ch., and Parizi, H. (2007). Turbopumps and pumping systems, Springer, Berlin.
Nourbakhsh, A., Riasi, A., and Mirian, R. (2004). “Mathematical simulation of hydraulic transient and load rejection analysis in hydro power plant.” Proc., WCCM VI in Conjunction with APCOM’04, Tsinghua University Press and Springer, Beijing.
Paynter, H. M. (1953). “Surge and water hammer problems.” Transactions ASCE, 118, 962–1009.
Pezzinga, G. (2000). “Evaluation of unsteady flow resistances by quasi 2D or 1D models.” J. Hydraul. Eng., 126(10), 778–785.
Popescu, M., Arsenie, D., and Vlase, P. (2003). Applied hydraulic transients for hydropower plant and pumping stations, Balkema, Swets and Zeitlinger B. V., Lisse, The Netherlands.
Riasi, A., Mirian, R., Nourbakhsh, A., and Derakhshan, S. H. (2006). “Frequency analysis of Francis hydropower plant.” Proc., Hydro 2006 Conf., Network Events Limited, Porto Carras, Greece.
Vardy, A. E., and Brown, J. M. B. (2004). “Transient turbulent friction in fully rough pipe flows.” J. Sound Vib., 270, 233–257.
Wylie, E. B. (1965). “Resonance in pressurized piping systems.” J. Basic Eng., 87(4), 960–966.
Wylie, E. B., and Streeter, V. L. (1984). Fluid transients, FEB Press, Ann Arbor, Mich.
Wylie, E. B., Streeter, V. L., and Suo, L. (1993). Fluid transients in systems, Prentice-Hall, Englewood Cliffs, N.J.
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Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 11 • November 2010
Pages: 929 - 934
Copyright
© 2010 ASCE.
History
Received: Mar 14, 2008
Accepted: Apr 21, 2010
Published online: Apr 26, 2010
Published in print: Nov 2010
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