“Frequency Response Analysis of Hydroelectric Power Plants with Influence From a Non-Linearized Frictional Damping and the Turbine Characteristics”
Authors: H. Brekke,Affiliation: Kværner Brug, Oslo
Reference: 1985, Vol 6, No 1, pp. 21-37.
Keywords: Frequency response, hydroelectric power plant control, water turbines
Abstract: The main purpose of the dissertation has been to establish a complete stability analysis of a hydroelectric power plant. The most important part in this study has been to establish a theory for the damping of oscillatory flow in tunnels and pipes. The influence of the turbine characteristics is also important and has been included by differentiation of the turbine equation. The partial derivative values can be found by means of the characteristic diagram of the turbine. Special attention is paid to establishing an empirical friction function for tunnels with rough walls. The author has based his theory on experimental tests carried out for damping of sea waves on rough beds, and the friction factor is a function of both frequency, amplitudes, cross section area and roughness of the wall (Jonsson 1978). Further, the damping of oscillations in shafts leading to tunnels taking into account the mean velocity in the tunnel has been established.
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DOI: 10.4173/mic.1985.1.2References:
[1] BREKKE, H. (0). A stability study on Hydroelectric Power Plant governing including the influence from a quasi nonlinear damping of oscillatory flow and from the turbine characteristics, Dissertation, The Norwegian Institute of Technology, adr. 7034 Trondheim - NTH.
[2] BREKKE, H. (1974). Induced hydraulic resonance analysis on a Francis turbine power plant with an air cushioned high pressure tunnel system, IAHR Symposium, Vienna, Austria, 1974.
[3] JONSSON, I.G. (1978). A new approach to oscillatory rough turbulent boundary layers, Series Paper 17.1978. I.S.V.A., Technical University of Denmark.
[4] KÖNGETER, J. (1980). Rohrreibungsverluste einer oscillierenden turbulente Strömung in einem Kreisrohr konstanten Querschnitts, Mitteilung Nr. 95, Technische Universität Berlin.
[5] KNOTT, G.F., FLOWER, J.O. (1980). Measurement of energy losses in oscillatory flow through a pipe exit, Applied Ocean Research, 2, vol. 2, no 4, pp. 155-165.
BibTeX:
@article{MIC-1985-1-2,
title={{Frequency Response Analysis of Hydroelectric Power Plants with Influence From a Non-Linearized Frictional Damping and the Turbine Characteristics}},
author={Brekke, H.},
journal={Modeling, Identification and Control},
volume={6},
number={1},
pages={21--37},
year={1985},
doi={10.4173/mic.1985.1.2},
publisher={Norwegian Society of Automatic Control}
};