IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v5y2012i5p1413-1432d17740.html
   My bibliography  Save this article

Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant

Author

Listed:
  • Pan Liu

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China)

  • Tri-Dung Nguyen

    (Ven Te Chow Hydrosystems Laboratory, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
    Schools of Mathematics and Management, University of Southampton, Southampton, SO17 1BJ, UK)

  • Ximing Cai

    (Ven Te Chow Hydrosystems Laboratory, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA)

  • Xinhao Jiang

    (College of Water Sciences, Beijing Normal University, Beijing 100875, China)

Abstract

Optimal load distribution (OLD) among generator units of a hydropower plant is a vital task for hydropower generation scheduling and management. Traditional optimization methods for solving this problem focus on finding a single optimal solution. However, many practical constraints on hydropower plant operation are very difficult, if not impossible, to be modeled, and the optimal solution found by those models might be of limited practical uses. This motivates us to find multiple optimal solutions to the OLD problem, which can provide more flexible choices for decision-making. Based on a special dynamic programming model, we use a modified shortest path algorithm to produce multiple solutions to the problem. It is shown that multiple optimal solutions exist for the case study of China’s Geheyan hydropower plant, and they are valuable for assessing the stability of generator units, showing the potential of reducing occurrence times of units across vibration areas.

Suggested Citation

  • Pan Liu & Tri-Dung Nguyen & Ximing Cai & Xinhao Jiang, 2012. "Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant," Energies, MDPI, vol. 5(5), pages 1-20, May.
    • Handle: RePEc:gam:jeners:v:5:y:2012:i:5:p:1413-1432:d:17740
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/5/5/1413/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/5/5/1413/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    2. Tsai, Jung-Fa & Lin, Ming-Hua & Hu, Yi-Chung, 2008. "Finding multiple solutions to general integer linear programs," European Journal of Operational Research, Elsevier, vol. 184(2), pages 802-809, January.
    3. Catalão, J.P.S. & Pousinho, H.M.I. & Contreras, J., 2012. "Optimal hydro scheduling and offering strategies considering price uncertainty and risk management," Energy, Elsevier, vol. 37(1), pages 237-244.
    4. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    5. Thomas H. Byers & Michael S. Waterman, 1984. "Technical Note—Determining All Optimal and Near-Optimal Solutions when Solving Shortest Path Problems by Dynamic Programming," Operations Research, INFORMS, vol. 32(6), pages 1381-1384, December.
    6. Pan Liu & Shenglian Guo & Lihua Xiong & Wei Li & Honggang Zhang, 2006. "Deriving Reservoir Refill Operating Rules by Using the Proposed DPNS Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(3), pages 337-357, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhong-Kai Feng & Wen-Jing Niu & Jian-Zhong Zhou & Chun-Tian Cheng & Hui Qin & Zhi-Qiang Jiang, 2017. "Parallel Multi-Objective Genetic Algorithm for Short-Term Economic Environmental Hydrothermal Scheduling," Energies, MDPI, vol. 10(2), pages 1-22, January.
    2. Lei, Kaixuan & Chang, Jianxia & Wang, Yimin & Guo, Aijun & Huang, Mengdi & Xu, Bo, 2022. "Cascade hydropower stations short-term operation for load distribution considering water level synchronous variation," Renewable Energy, Elsevier, vol. 196(C), pages 683-693.
    3. Bortoni, Edson C. & Bastos, Guilherme S. & Abreu, Thiago M. & Kawkabani, Basile, 2015. "Online optimal power distribution between units of a hydro power plant," Renewable Energy, Elsevier, vol. 75(C), pages 30-36.
    4. Lejun Ma & Huan Wang & Baohong Lu & Changjun Qi, 2018. "Application of Strongly Constrained Space Particle Swarm Optimization to Optimal Operation of a Reservoir System," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    5. Granacher, Julia & Nguyen, Tuong-Van & Castro-Amoedo, Rafael & Maréchal, François, 2022. "Overcoming decision paralysis—A digital twin for decision making in energy system design," Applied Energy, Elsevier, vol. 306(PA).
    6. Tongtiegang Zhao & Jianshi Zhao & Xiaohui Lei & Xu Wang & Bisheng Wu, 2017. "Improved Dynamic Programming for Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2047-2063, May.
    7. 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.
    8. Ming, Bo & Liu, Pan & Guo, Shenglian & Cheng, Lei & Zhou, Yanlai & Gao, Shida & Li, He, 2018. "Robust hydroelectric unit commitment considering integration of large-scale photovoltaic power: A case study in China," Applied Energy, Elsevier, vol. 228(C), pages 1341-1352.

    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. Agnieszka Kurdyś-Kujawska & Agnieszka Sompolska-Rzechuła & Joanna Pawłowska-Tyszko & Michał Soliwoda, 2021. "Crop Insurance, Land Productivity and the Environment: A Way forward to a Better Understanding," Agriculture, MDPI, vol. 11(11), pages 1-17, November.
    2. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005. "Computing Integral Solutions of Complementarity Problems," Other publications TiSEM b8e0c74e-2219-4ab0-99a2-0, Tilburg University, School of Economics and Management.
    3. Wenfeng Chi & Yuanyuan Zhao & Wenhui Kuang & Tao Pan & Tu Ba & Jinshen Zhao & Liang Jin & Sisi Wang, 2021. "Impact of Cropland Evolution on Soil Wind Erosion in Inner Mongolia of China," Land, MDPI, vol. 10(6), pages 1-16, June.
    4. Yulin Zhao, 2012. "Positive Solutions for ( k , n − k ) Conjugate Multipoint Boundary Value Problems in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-18, August.
    5. Nick Middleton & Utchang Kang, 2017. "Sand and Dust Storms: Impact Mitigation," Sustainability, MDPI, vol. 9(6), pages 1-22, June.
    6. Tarantino, Emanuele & Pavanini, Nicola & Mayordomo, Sergio, 2020. "The Impact of Alternative Forms of Bank Consolidation on Credit Supply and Financial Stability," CEPR Discussion Papers 15069, C.E.P.R. Discussion Papers.
    7. Truong Duong & Nguyen Tan, 2012. "On the existence of solutions to generalized quasi-equilibrium problems," Journal of Global Optimization, Springer, vol. 52(4), pages 711-728, April.
    8. Misbah Haque & Imran Ali, 2016. "Uncertain Environment and Organizational Performance: The Mediating Role of Organizational Innovation," Asian Social Science, Canadian Center of Science and Education, vol. 12(9), pages 124-124, September.
    9. Jérôme Creel & Éloi Laurent & Jacques Le Cacheux, 2007. "Politiques et performances macroéconomiques de la zone euro. Institutions, incitations, stratégies," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(3), pages 249-281.
    10. , & ,, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    11. Navid Bayati & Mehdi Savaghebi, 2021. "Protection Systems for DC Shipboard Microgrids," Energies, MDPI, vol. 14(17), pages 1-20, August.
    12. Bustillo, Inés & Velloso, Helvia & Vézina, François, 2006. "The Canadian retirement income system," Documentos de Proyectos 3682, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    13. Jesus M. Carro & Alejandra Traferri, 2014. "State Dependence And Heterogeneity In Health Using A Bias‐Corrected Fixed‐Effects Estimator," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 181-207, March.
    14. Nobuyoshi Yamori & Ayami Kobayashi, 2007. "Wealth Effect Of Public Fund Injections To Ailing Banks: Do Deferred Tax Assets And Auditing Firms Matter?," The Japanese Economic Review, Japanese Economic Association, vol. 58(4), pages 466-483, December.
    15. Ngai Fen Cheung & Anshi Pan, 2012. "Childbirth experience of migrants in China: A systematic review," Nursing & Health Sciences, John Wiley & Sons, vol. 14(3), pages 362-371, September.
    16. Vladimir Krivtsov & Brian J. D’Arcy & Alejandro Escribano Sevilla & Scott Arthur & Chris Semple, 2021. "Mitigating Polluted Runoff from Industrial Estates by SUDS Retrofits: Case Studies of Problems and Solutions Co-Designed with a Participatory Approach," Sustainability, MDPI, vol. 13(22), pages 1-24, November.
    17. Operations Evaluation Department, 2005. "Capacity Building in Africa : An OED Evaluation of World Bank Support," World Bank Publications - Books, The World Bank Group, number 7468, December.
    18. Jean-Pierre Allegret & Alain Sand-Zantman, 2008. "Monetary Integration Issues in Latin America: A Multivariate Assessment," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 55(3), pages 279-308, September.
    19. M. Balaj & L. J. Lin, 2013. "Existence Criteria for the Solutions of Two Types of Variational Relation Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 232-246, February.
    20. Werner, Katharina & Graf Lambsdorff, Johann, 2016. "Emotional numbing and lessons learned after a violent conflict - Experimental evidence from Ambon, Indonesia," Passauer Diskussionspapiere, Volkswirtschaftliche Reihe V-74-16, University of Passau, Faculty of Business and Economics.

    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:gam:jeners:v:5:y:2012:i:5:p:1413-1432:d:17740. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.