IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v397y2025ics0306261925011067.html

A scalable mixed-integer programming model for multi-period hydropower planning in a single-reservoir system

Author

Listed:
  • Karamyar, Fatemeh
  • Sefair, Jorge A.
  • Wei, Yuhang
  • Sabo, John L.

Abstract

This paper presents a mixed-integer linear formulation for solving a multi-period hydropower production planning problem in a single-reservoir system. The model offers a tractable yet realistic framework for long-term planning of hydropower operations. We utilize a production-driven dispatch model aimed at optimizing water releases at reservoirs and dams to maximize hydropower generation. The approach discretizes water levels, simplifies nonconvex dynamics, and prescribes easy-to-interpret operational curves for release guidance. Key features include a head-dependent hydropower function, upstream flow travel time, smoothing constraints on water release, and a turbine switch-off policy. The model is evaluated using real data from the Lower Mekong Basin.

Suggested Citation

  • Karamyar, Fatemeh & Sefair, Jorge A. & Wei, Yuhang & Sabo, John L., 2025. "A scalable mixed-integer programming model for multi-period hydropower planning in a single-reservoir system," Applied Energy, Elsevier, vol. 397(C).
  • Handle: RePEc:eee:appene:v:397:y:2025:i:c:s0306261925011067
    DOI: 10.1016/j.apenergy.2025.126376
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261925011067
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.126376?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Behrang Beiranvand & Parisa-Sadat Ashofteh, 2023. "A Systematic Review of Optimization of Dams Reservoir Operation Using the Meta-heuristic Algorithms," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(9), pages 3457-3526, July.
    2. Iman Ahmadianfar & Saeed Noshadian & Nadir Ahmed Elagib & Meysam Salarijazi, 2021. "Robust Diversity-based Sine-Cosine Algorithm for Optimizing Hydropower Multi-reservoir Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(11), pages 3513-3538, September.
    3. Cheng, Qian & Ming, Bo & Liu, Pan & Huang, Kangdi & Gong, Yu & Li, Xiao & Zheng, Yalian, 2021. "Solving hydro unit commitment problems with multiple hydraulic heads based on a two-layer nested optimization method," Renewable Energy, Elsevier, vol. 172(C), pages 317-326.
    4. Mahan, Robert C. & Horbulyk, Theodore M. & Rowse, John G., 2002. "Market mechanisms and the efficient allocation of surface water resources in southern Alberta," Socio-Economic Planning Sciences, Elsevier, vol. 36(1), pages 25-49, March.
    5. Schäffer, Linn Emelie & Helseth, Arild & Korpås, Magnus, 2022. "A stochastic dynamic programming model for hydropower scheduling with state-dependent maximum discharge constraints," Renewable Energy, Elsevier, vol. 194(C), pages 571-581.
    6. Gregory Steeger & Timo Lohmann & Steffen Rebennack, 2018. "Strategic bidding for a price-maker hydroelectric producer: Stochastic dual dynamic programming and Lagrangian relaxation," IISE Transactions, Taylor & Francis Journals, vol. 50(11), pages 929-942, November.
    7. Amjath-Babu, T.S. & Sharma, Bikash & Brouwer, Roy & Rasul, Golam & Wahid, Shahriar M. & Neupane, Nilhari & Bhattarai, Utsav & Sieber, Stefan, 2019. "Integrated modelling of the impacts of hydropower projects on the water-food-energy nexus in a transboundary Himalayan river basin," Applied Energy, Elsevier, vol. 239(C), pages 494-503.
    8. Avesani, Diego & Zanfei, Ariele & Di Marco, Nicola & Galletti, Andrea & Ravazzolo, Francesco & Righetti, Maurizio & Majone, Bruno, 2022. "Short-term hydropower optimization driven by innovative time-adapting econometric model," Applied Energy, Elsevier, vol. 310(C).
    9. Pezalla, Simon & Obringer, Renee, 2023. "Evaluating the household-level climate-electricity nexus across three cities through statistical learning techniques," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    10. Pereira, André Alves & Pereira, Miguel Alves, 2023. "Energy storage strategy analysis based on the Choquet multi-criteria preference aggregation model: The Portuguese case," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    11. Vieira, Douglas A.G. & Costa, Emerson E. & Campos, Pedro H.F. & Mendonça, Matheus O. & Silva, Gustavo R.L., 2022. "A real-time nonlinear method for a single hydropower plant unit commitment based on analytical results of dual decomposition optimization," Renewable Energy, Elsevier, vol. 192(C), pages 513-525.
    12. Cheng, Chuntian & Su, Chengguo & Wang, Peilin & Shen, Jianjian & Lu, Jianyu & Wu, Xinyu, 2018. "An MILP-based model for short-term peak shaving operation of pumped-storage hydropower plants serving multiple power grids," Energy, Elsevier, vol. 163(C), pages 722-733.
    13. Zeng, Ximei & Zhou, Zhongbao & Gong, Yeming & Liu, Wenbin, 2022. "A data envelopment analysis model integrated with portfolio theory for energy mix adjustment: Evidence in the power industry," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    14. Arvin Samadi-koucheksaraee & Iman Ahmadianfar & Omid Bozorg-Haddad & Seyed Amin Asghari-pari, 2019. "Gradient Evolution Optimization Algorithm to Optimize Reservoir Operation Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(2), pages 603-625, January.
    15. Kuriqi, Alban & Pinheiro, António N. & Sordo-Ward, Alvaro & Bejarano, María D. & Garrote, Luis, 2021. "Ecological impacts of run-of-river hydropower plants—Current status and future prospects on the brink of energy transition," Renewable and Sustainable Energy Reviews, Elsevier, vol. 142(C).
    16. Ximei Zeng & Zhongbao Zhou & Yeming Gong & Wenbin Liu, 2022. "A data envelopment analysis model integrated with portfolio theory for energy mix adjustment : Evidence in the power industry," Post-Print hal-04325619, HAL.
    17. Carolina Gil Marcelino & Carlos Camacho-Gómez & Silvia Jiménez-Fernández & Sancho Salcedo-Sanz, 2021. "Optimal Generation Scheduling in Hydro-Power Plants with the Coral Reefs Optimization Algorithm," Energies, MDPI, vol. 14(9), pages 1-24, April.
    18. Byron Tasseff & Russell Bent & Carleton Coffrin & Clayton Barrows & Devon Sigler & Jonathan Stickel & Ahmed S. Zamzam & Yang Liu & Pascal Van Hentenryck, 2024. "Polyhedral Relaxations for Optimal Pump Scheduling of Potable Water Distribution Networks," INFORMS Journal on Computing, INFORMS, vol. 36(4), pages 1040-1063, July.
    19. Chuanxiong Kang & Min Guo & Jinwen Wang, 2017. "Short-Term Hydrothermal Scheduling Using a Two-Stage Linear Programming with Special Ordered Sets Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(11), pages 3329-3341, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Xiangzhen & Li, Yapeng & Gong, Shun & Hu, Xue & Cheng, Chuntian, 2025. "An enhanced micro-PSO method to deal with asymmetric electricity markets competition within hydropower cascade," Applied Energy, Elsevier, vol. 377(PA).
    2. Zhao, Hongye & Liao, Shengli & Fang, Zhou & Liu, Benxi & Ma, Xiangyu & Lu, Jia, 2024. "Short-term peak-shaving operation of “N-reservoirs and multicascade” large-scale hydropower systems based on a decomposition-iteration strategy," Energy, Elsevier, vol. 288(C).
    3. Liu, Benxi & Liu, Tengyuan & Liao, Shengli & Wang, Haidong & Jin, Xiaoyu, 2023. "Short-term operation of cascade hydropower system sharing flexibility via high voltage direct current lines for multiple grids peak shaving," Renewable Energy, Elsevier, vol. 213(C), pages 11-29.
    4. Favaro, Pietro & Dolányi, Mihály & Vallée, François & Toubeau, Jean-François, 2024. "Neural network informed day-ahead scheduling of pumped hydro energy storage," Energy, Elsevier, vol. 289(C).
    5. Liao, Shengli & Liu, Zhanwei & Liu, Benxi & Cheng, Chuntian & Wu, Xinyu & Zhao, Zhipeng, 2021. "Daily peak shaving operation of cascade hydropower stations with sensitive hydraulic connections considering water delay time," Renewable Energy, Elsevier, vol. 169(C), pages 970-981.
    6. Syed Jaffar Abbas & Shabbir Ahmad & Naveed Hayat & Shabbir Ahmad, 2025. "Unraveling the Regional Determinants of Capital Flight: A Comparative Analysis," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 16(3), pages 13516-13536, September.
    7. Xu, Guangyue & Yang, Mengge & Li, Shuang & Jiang, Mingqi & Rehman, Hafizur, 2024. "Evaluating the effect of renewable energy investment on renewable energy development in China with panel threshold model," Energy Policy, Elsevier, vol. 187(C).
    8. Migo-Sumagang, Maria Victoria & Tan, Raymond R. & Aviso, Kathleen B., 2023. "A multi-period model for optimizing negative emission technology portfolios with economic and carbon value discount rates," Energy, Elsevier, vol. 275(C).
    9. Agnieszka Operacz, 2021. "Possibility of Hydropower Development: A Simple-to-Use Index," Energies, MDPI, vol. 14(10), pages 1-19, May.
    10. Liu, Benxi & Liu, Tengyuan & Liao, Shengli & Lu, Jia & Cheng, Chuntian, 2023. "Short-term coordinated hybrid hydro-wind-solar optimal scheduling model considering multistage section restrictions," Renewable Energy, Elsevier, vol. 217(C).
    11. Wang, Jin & Zhao, Zhipeng & Zhou, Jinglin & Cheng, Chuntian & Su, Huaying, 2024. "Co-optimization for day-ahead scheduling and flexibility response mode of a hydro–wind–solar hybrid system considering forecast uncertainty of variable renewable energy," Energy, Elsevier, vol. 311(C).
    12. Yuan, Peng & Pu, Yuran & Liu, Chang, 2021. "Improving electricity supply reliability in China: Cost and incentive regulation," Energy, Elsevier, vol. 237(C).
    13. Carolina G. Marcelino & João V. C. Avancini & Carla A. D. M. Delgado & Elizabeth F. Wanner & Silvia Jiménez-Fernández & Sancho Salcedo-Sanz, 2021. "Dynamic Electric Dispatch for Wind Power Plants: A New Automatic Controller System Using Evolutionary Algorithms," Sustainability, MDPI, vol. 13(21), pages 1-20, October.
    14. Fu, Yuanhong & Ding, Guijie & Quan, Wenxuan & Zhao, Xizhou & Tao, Qinghong, 2024. "Coupling optimization of water-fertilizer for coordinated development of the environment and growth of Pinus massoniana seedlings," Agricultural Water Management, Elsevier, vol. 300(C).
    15. Chuanxiong Kang & Cheng Chen & Jinwen Wang, 2018. "An Efficient Linearization Method for Long-Term Operation of Cascaded Hydropower Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3391-3404, August.
    16. Chen, Sheng & Wang, Jing & Zhang, Jian & Yu, Xiaodong & He, Wei, 2020. "Transient behavior of two-stage load rejection for multiple units system in pumped storage plants," Renewable Energy, Elsevier, vol. 160(C), pages 1012-1022.
    17. Bai, Jiayu & Wei, Wei & Chen, Laijun & Mei, Shengwei, 2020. "Modeling and dispatch of advanced adiabatic compressed air energy storage under wide operating range in distribution systems with renewable generation," Energy, Elsevier, vol. 206(C).
    18. Mustafa Sahin Dogan & Josue Medellin-Azuara & Jay R. Lund, 2024. "Hydropower Reservoir Optimization with Solar Generation-Changed Energy Prices in California," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(6), pages 2135-2153, April.
    19. Dylan Sheneth Edirisinghe & Ho-Seong Yang & Min-Sung Kim & Byung-Ha Kim & Sudath Prasanna Gunawardane & Young-Ho Lee, 2021. "Computational Flow Analysis on a Real Scale Run-of-River Archimedes Screw Turbine with a High Incline Angle," Energies, MDPI, vol. 14(11), pages 1-18, June.
    20. Sakthivel, V.P. & Thirumal, K. & Sathya, P.D., 2022. "Short term scheduling of hydrothermal power systems with photovoltaic and pumped storage plants using quasi-oppositional turbulent water flow optimization," Renewable Energy, Elsevier, vol. 191(C), pages 459-492.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:397:y:2025:i:c:s0306261925011067. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.