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Overshoots in the water-level control of hydropower plants

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  • Vesipa, Riccardo
  • Ridolfi, Luca

Abstract

In the field of renewable-energies, a number of engineering problems are modeled as dynamical systems, and a key issue is the assessment of their stability to external disturbances. Stability analyses typically focus on the asymptotic stability, i.e., the fate of perturbations after long times from their onset. The system behavior at finite-times has attracted much less attention, although it plays a crucial role in determining the system dynamics. In this work, we focus on the response at finite-times to perturbations in run-of-river hydropower plants. These are widespread systems in the hydropower industry. We show that their response at finite-times (i) can be analytically studied by the non-modal analysis, and (ii) can be very different from the asymptotic-times response. In particular, perturbations can exhibit very relevant transient amplifications (with important technical consequences), although the system is asymptotically stable. The proposed analytical approach is general and can be applied to investigate the finite-time response of any dynamical system.

Suggested Citation

  • Vesipa, Riccardo & Ridolfi, Luca, 2019. "Overshoots in the water-level control of hydropower plants," Renewable Energy, Elsevier, vol. 131(C), pages 800-810.
    • Handle: RePEc:eee:renene:v:131:y:2019:i:c:p:800-810
    DOI: 10.1016/j.renene.2018.07.090
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    1. Ledesma, P. & Usaola, J. & Rodríguez, J.L., 2003. "Transient stability of a fixed speed wind farm," Renewable Energy, Elsevier, vol. 28(9), pages 1341-1355.
    2. Guo, Wencheng & Yang, Jiandong, 2018. "Modeling and dynamic response control for primary frequency regulation of hydro-turbine governing system with surge tank," Renewable Energy, Elsevier, vol. 121(C), pages 173-187.
    3. Fernández, Luis M. & Saenz, José Ramón & Jurado, Francisco, 2006. "Dynamic models of wind farms with fixed speed wind turbines," Renewable Energy, Elsevier, vol. 31(8), pages 1203-1230.
    4. Buzás, J. & Farkas, I. & Biró, A. & Németh, R., 1998. "Modelling and simulation aspects of a solar hot water system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 48(1), pages 33-46.
    5. Kicsiny, R. & Nagy, J. & Szalóki, Cs., 2014. "Extended ordinary differential equation models for solar heating systems with pipes," Applied Energy, Elsevier, vol. 129(C), pages 166-176.
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    Cited by:

    1. Zhang, Jian & Qiu, Weixin & Wang, Qinyi & Yao, Tianyu & Hu, Chao & Liu, Yi, 2024. "Extreme water level of surge chamber in hydropower plant under combined operating conditions," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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