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Optimal control of hydroelectric facility incorporating pump storage

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  • Zhao, Guangzhi
  • Davison, Matt

Abstract

We consider a simple model of a pump-assisted hydroelectric facility operating in a market with time-varying but deterministic power prices and constant water inflows. The engineering details of the facility are described by a model containing several parameters. We present an algorithm for optimizing first the energy and then the profit produced by these plants. This algorithm allows us to describe the relationships between control trajectory and time, and between inflow and price. Remarkably, we see that under some reasonable choices of facility parameters and for power prices that are not extremely variable, the optimal profit operation of these facilities is not too different from their optimal energy operation, and the control is less affected by the price as the inflow rate increases.

Suggested Citation

  • Zhao, Guangzhi & Davison, Matt, 2009. "Optimal control of hydroelectric facility incorporating pump storage," Renewable Energy, Elsevier, vol. 34(4), pages 1064-1077.
    • Handle: RePEc:eee:renene:v:34:y:2009:i:4:p:1064-1077
    DOI: 10.1016/j.renene.2008.07.005
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    1. Brian K. Edwards & Silvio J. Flaim & Richard E. Howitt, 1999. "Optimal Provision of Hydroelectric Power under Environmental and Regulatory Constraints," Land Economics, University of Wisconsin Press, vol. 75(2), pages 267-283.
    2. Chatterjee, Bishu & Howitt, Richard E. & Sexton, Richard J., 1998. "The Optimal Joint Provision of Water for Irrigation and Hydropower," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 295-313, November.
    3. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
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    1. Makhdoomi, Sina & Askarzadeh, Alireza, 2020. "Daily performance optimization of a grid-connected hybrid system composed of photovoltaic and pumped hydro storage (PV/PHS)," Renewable Energy, Elsevier, vol. 159(C), pages 272-285.
    2. Steffen, Bjarne & Weber, Christoph, 2016. "Optimal operation of pumped-hydro storage plants with continuous time-varying power prices," European Journal of Operational Research, Elsevier, vol. 252(1), pages 308-321.
    3. Anton A. Shardin & Michaela Szolgyenyi, 2016. "Optimal Control of an Energy Storage Facility Under a Changing Economic Environment and Partial Information," Papers 1602.04662, arXiv.org, revised Apr 2016.
    4. Mahmoudimehr, Javad & Sebghati, Parvin, 2019. "A novel multi-objective Dynamic Programming optimization method: Performance management of a solar thermal power plant as a case study," Energy, Elsevier, vol. 168(C), pages 796-814.
    5. Picarelli, Athena & Vargiolu, Tiziano, 2021. "Optimal management of pumped hydroelectric production with state constrained optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 126(C).
    6. Shabani, Masoume & Mahmoudimehr, Javad, 2019. "Influence of climatological data records on design of a standalone hybrid PV-hydroelectric power system," Renewable Energy, Elsevier, vol. 141(C), pages 181-194.
    7. Shabani, Masoume & Mahmoudimehr, Javad, 2018. "Techno-economic role of PV tracking technology in a hybrid PV-hydroelectric standalone power system," Applied Energy, Elsevier, vol. 212(C), pages 84-108.
    8. Mahmoudimehr, Javad & Shabani, Masoume, 2018. "Optimal design of hybrid photovoltaic-hydroelectric standalone energy system for north and south of Iran," Renewable Energy, Elsevier, vol. 115(C), pages 238-251.
    9. Shaima A. Alnaqbi & Shamma Alasad & Haya Aljaghoub & Abdul Hai Alami & Mohammad Ali Abdelkareem & Abdul Ghani Olabi, 2022. "Applicability of Hydropower Generation and Pumped Hydro Energy Storage in the Middle East and North Africa," Energies, MDPI, vol. 15(7), pages 1-27, March.
    10. Rayamajhee, Veeshan & Joshi, Aakrit, 2018. "Economic trade-offs between hydroelectricity production and environmental externalities: A case for local externality mitigation fund," Renewable Energy, Elsevier, vol. 129(PA), pages 237-244.
    11. Ware, Antony, 2018. "Reliability-constrained hydropower valuation," Energy Policy, Elsevier, vol. 118(C), pages 633-641.
    12. Anton A. Shardin & Michaela Szölgyenyi, 2016. "Optimal Control Of An Energy Storage Facility Under A Changing Economic Environment And Partial Information," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-27, June.
    13. Shabani, Masoume & Dahlquist, Erik & Wallin, Fredrik & Yan, Jinyue, 2020. "Techno-economic comparison of optimal design of renewable-battery storage and renewable micro pumped hydro storage power supply systems: A case study in Sweden," Applied Energy, Elsevier, vol. 279(C).

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