Frequency-Domain Stability Analysis for Hydropower Plants with Complex Tailrace Flow Using the Overall Transfer Matrix Model
Publication: Journal of Hydraulic Engineering
Volume 149, Issue 11
Abstract
Frequency-domain modeling is one of the paramount mathematical techniques for the stability analysis of hydraulic systems. This paper proposes an overall transfer matrix-based frequency-domain model for a hydropower plant in which the tailrace system contains both pipe flow and open-channel flow and investigates the system operation stability with the proposed model. First, the mathematical expression of the field transfer matrix for open channels is deduced by taking the flow rate and the head as complex variables. Then, the overall transfer matrix (OTM) of the complicated tailrace system is established by combining the field transfer matrices of pressurized pipes and open channels and the point transfer matrices of different hydraulic boundaries. Field experiments are conducted in a hydropower plant located in southwestern China and are taken as case studies. Comparative analyses of the information extracted from the measured data and the numerical results show that the proposed OTM model can accurately judge the stability of the multi-machine tailrace system of the hydropower plant under different conditions.
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Data Availability Statement
All of the data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by National Natural Science Foundation of China (Grants Nos. 52009096 and 52179088), the Fundamental Research Funds for the Central Universities (Grant No. 2042022kf1022), and China Postdoctoral Science Foundation (Grant No. 2022T150498).
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Published In
Journal of Hydraulic Engineering
Volume 149 • Issue 11 • November 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 20, 2021
Accepted: Jun 28, 2023
Published online: Aug 17, 2023
Published in print: Nov 1, 2023
Discussion open until: Jan 17, 2024
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