Conclusions
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1.
Oscillations due to low-frequency sources of excitation beneath the impeller in the draft tube develop in long pipelines of water-storage power plants.
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2.
For the Zagorsk water-storage power plant with a long (790 m) and flexible pipeline, the natural frequency of the first type of the system's oscillation is many times lower than the predominant frequency of the lowest-frequency component of the spectrum of pressure fluctuations beneath the impeller (0.24–0.25)fre. For a shorter and stiffer pipeline, the system would approach resonance.
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3.
The dynamic properties of the system depend on the opening of the guide apparatus: for small openings, the natural frequency approaches f1=(C/4)L; with large openings, it approaches f2=(C/2)L.
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4.
When the unit is operating in the stationary mode, the hydrodynamic loads on the pipe lining do not exceed 0.05 MPa; this corresponds to an additional stress of 0.07 MPa in the lining and vibrational displacements of 0.183 mm (when C=780 m/sec), i.e., not more than 0.06 of the radius of the pipeline; when C=965 m/sec, the vibrational displacements do not exceed 0.08 mm.
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5.
The loads on the pipeline supports do not exceed 0.36 tons on any one pile.
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Literature cited
S. I. Potashnik, V. M. Klabukov, and G. A. Beschastnov, “Results of full-scale tests and operating experience with the Kiev water-storage power plant,” Proceedings of the S. Ya. Zhuk Scientific-Research Institute for Design and Exploration [in Russian], No. 64, Moscow (1978).
S. P. Rzhevkin, Lecture Course on the Theory of Sound [in Russian], Moscow State Univ. (1960).
I. A. Charnyi, Nonsteady Motion of a Real Fluid in Pipes [in Russian], Nedra, Moscow (1975).
V. S. Gontkevich, Natural Vibrations of Plates and Shells. Reference Manual [in Russian], Naukova Dumka, Kiev (1964).
F. Kito, “The vibration of penstocks,” Water Power, No. 10 (1959).
Additional information
Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 8, pp. 27–30, August, 1992.
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Khalturina, N.V., Sarkisova, M.F. Experimental-theoretical investigations of the pressure pipeline at the Zagorsk water-storage power plant. Hydrotechnical Construction 26, 501–507 (1992). https://doi.org/10.1007/BF01544964
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DOI: https://doi.org/10.1007/BF01544964