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Optimal Reservoir Operation for Flood Control Using Folded Dynamic Programming

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  • D. Nagesh Kumar
  • Falguni Baliarsingh
  • K. Srinivasa Raju

Abstract

Folded Dynamic Programming (FDP) is adopted for developing optimal reservoir operation policies for flood control. It is applied to a case study of Hirakud Reservoir in Mahanadi basin, India with the objective of deriving optimal policy for flood control. The river flows down to Naraj, the head of delta where a major city is located and finally joins the Bay of Bengal. As Hirakud reservoir is on the upstream side of delta area in the basin, it plays an important role in alleviating the severity of the flood for this area. Data of 68 floods such as peaks of inflow hydrograph, peak of outflow from reservoir during each flood, peak of flow hydrograph at Naraj and d/s catchment contribution are utilized. The combinations of 51, 54, 57 thousand cumecs as peak inflow into reservoir and 25.5, 20, 14 thousand cumecs respectively as peak d/s catchment contribution form the critical combinations for flood situation. It is observed that the combination of 57 thousand cumecs of inflow into reservoir and 14 thousand cumecs for d/s catchment contribution is the most critical among the critical combinations of flow series. The method proposed can be extended to similar situations for deriving reservoir operating policies for flood control. Copyright Springer Science+Business Media B.V. 2010

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  • D. Nagesh Kumar & Falguni Baliarsingh & K. Srinivasa Raju, 2010. "Optimal Reservoir Operation for Flood Control Using Folded Dynamic Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(6), pages 1045-1064, April.
    • Handle: RePEc:spr:waterr:v:24:y:2010:i:6:p:1045-1064
    DOI: 10.1007/s11269-009-9485-3
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    2. Md. Hossain & A. El-shafie, 2013. "Intelligent Systems in Optimizing Reservoir Operation Policy: A Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3387-3407, July.
    3. Qingqing Li & Shuo Ouyang, 2015. "Research on multi-objective joint optimal flood control model for cascade reservoirs in river basin system," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 77(3), pages 2097-2115, July.
    4. Hamid Bashiri-Atrabi & Kourosh Qaderi & David Rheinheimer & Erfaneh Sharifi, 2015. "Application of Harmony Search Algorithm to Reservoir Operation Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(15), pages 5729-5748, December.
    5. J. Yazdi & S. Salehi Neyshabouri, 2012. "Optimal design of flood-control multi-reservoir system on a watershed scale," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 63(2), pages 629-646, September.
    6. Ali Assani & Raphaëlle Landry & Jonathan Daigle & Alain Chalifour, 2011. "Reservoirs Effects on the Interannual Variability of Winter and Spring Streamflow in the St-Maurice River Watershed (Quebec, Canada)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(14), pages 3661-3675, November.
    7. Xiang Fu & An-Qiang Li & Hui Wang, 2014. "Allocation of Flood Control Capacity for a Multireservoir System Located at the Yangtze River Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(13), pages 4823-4834, October.
    8. Onur Hınçal & A. Altan-Sakarya & A. Metin Ger, 2011. "Optimization of Multireservoir Systems by Genetic Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(5), pages 1465-1487, March.
    9. Zitong Yang & Xianfeng Huang & Jiao Liu & Guohua Fang, 2021. "Optimal Operation of Floodwater Resources Utilization of Lakes in South-to-North Water Transfer Eastern Route Project," Sustainability, MDPI, vol. 13(9), pages 1-15, April.
    10. Chih-Chiang Wei, 2012. "Discretized and Continuous Target Fields for the Reservoir Release Rules During Floods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(12), pages 3457-3477, September.
    11. Chen Chen & Yanbin Yuan & Xiaohui Yuan, 2017. "An Improved NSGA-III Algorithm 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(14), pages 4469-4483, November.
    12. Rui Yang & Yutao Qi & Jiaojiao Lei & Xiaoliang Ma & Haibin Zhang, 2022. "A Parallel Multi-objective Optimization Algorithm Based on Coarse-to-Fine Decomposition for Real-time Large-scale 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. 36(9), pages 3207-3219, July.
    13. Morteza Zargar & Hossein M. V. Samani & Ali Haghighi, 2016. "Optimization of gated spillways operation for flood risk management in multi-reservoir systems," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(1), pages 299-320, May.
    14. X. Wang & R. Zhao & Y. Hao, 2011. "Flood Control Operations Based on the Theory of Variable Fuzzy Sets," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 777-792, February.
    15. Ayoub Tahiri & David Ladeveze & Pascale Chiron & Bernard Archimede & Ludovic Lhuissier, 2018. "Reservoir Management Using a Network Flow Optimization Model Considering Quadratic Convex Cost Functions on Arcs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3505-3518, August.

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