Abstract
Joint operation of multiple reservoir system in inter-basin water transfer-supply project is a complex problem because of the complicated structure and cooperated operation policy. The combination of high-dimensional, multi-peak and multiple constraints makes it incredibly difficult to obtain the optimal rule curves for multi-reservoir operation. In view of this, we constructed a joint optimization operation model, considering both water supply and transfer, and proposed the concept of “shape constraints”. To obtain the solution of this high-dimensional optimization model, a novel progressive optimum seeking method, namely Progressive Reservoir Algorithm-Particle Swarm Optimization (PRA-PSO), is presented based on the nature of progressive optimization algorithm (POA) and standard particle swarm optimization (PSO). The water transfer project in northeast China, consisting of three routes eight reservoirs, is selected as a case study. The results show that (1) PRA-PSO is yielding much more promising results when compared with other optimization techniques; (2) shape constraints would narrow the scope of feasible solution area but increase the convergence of algorithm; (3) because of the strong interaction between water transfer and water supply action, the progressive setting of PRA-PSO should be in accordance with the order of reservoir water transfer. The case study indicates the novel optimization method could effectively increase the chance of jumping out of local optimal points, thereby searching for better solutions.
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References
Abdelaziz R, Zambrano-Bigiarini M (2014) Particle swarm optimization for inverse modeling of solute transport in fractured gneiss aquifer. J Contam Hydrol 164(0):285–298. https://doi.org/10.1016/j.jconhyd.2014.06.003
Afshar A, Masoumi F (2016) Waste load reallocation in river–reservoir systems: simulation–optimization approach. Environ Earth Sci 75(1):1–14
Arvanitidits NV, Rosing J (1970) Composite representation of a Multireservoir hydroelectric Power system. IEEE Trans Power Apparatus Syst PAS-89(2):319–326. https://doi.org/10.1109/TPAS.1970.292595
Ashofteh P, Haddad OB, Loáiciga HA (2015) Evaluation of climatic-change impacts on multiobjective reservoir operation with multiobjective genetic programming. J Water Resour Plan Manag 141(11):4015030
Ballestero E (2004) Inter-Basin water transfer public agreements: a decision approach to quantity and price. Water Resour Manag 18(1):75–88. https://doi.org/10.1023/B:WARM.0000015390.39862.b9
Barros MTL, Tsai FT, Yang S, Lopes JEG, William WG, Yeh HMA (2003) Optimization of large-scale hydropower system operations. J Water Resour Plan Manag 129(3):178–188. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:3(178)
Belsnes MM, Wolfgang O, Follestad T, Aasgård EK (2016) Applying successive linear programming for stochastic short-term hydropower optimization. Electr Power Syst Res 130:167–180
Bonacci O, Andrić I (2010) Impact of an inter-basin water transfer and reservoir operation on a karst open streamflow hydrological regime: an example from the Dinaric karst (Croatia). Hydrol Process 24(26):3852–3863. https://doi.org/10.1002/hyp.7817
Chang L, Chang F (2009) Multi-objective evolutionary algorithm for operating parallel reservoir system. J Hydrol 377(1–2):12–20. https://doi.org/10.1016/j.jhydrol.2009.07.061
Chen L, McPhee J, Yeh WWG (2007) A diversified multiobjective GA for optimizing reservoir rule curves. Adv Water Resour 30(5):1082–1093. https://doi.org/10.1016/j.advwatres.2006.10.001
Cheng C, Shen J, Wu X, Chau K (2012) Short-term Hydroscheduling with discrepant objectives using multi-step progressive optimality Algorithm1. JAWRA J Am Water Resour Assoc 48(3):464–479. https://doi.org/10.1111/j.1752-1688.2011.00628.x
Davies BR, Thoms M, Meador M (1992) An assessment of the ecological impacts of inter-basin water transfers, and their threats to river basin integrity and conservation. Aquat Conserv Mar Freshwat Ecosyst 2(4):325–349. https://doi.org/10.1002/aqc.3270020404
De Carvalho RC, Magrini A (2006) Conflicts over water resource Management in Brazil: a case study of Inter-Basin transfers. Water Resour Manag 20(2):193–213. https://doi.org/10.1007/s11269-006-7377-3
Deane JP, McKeogh EJ, Gallachoir B (2013) Derivation of intertemporal targets for large pumped hydro energy storage with stochastic optimization. IEEE Trans Power Syst 28(3):2147–2155
Guo X, Hu T, Zhang T, Lv Y (2012) Bilevel model for multi-reservoir operating policy in inter-basin water transfer-supply project. J Hydrol 424:252–263
Guo X, Hu T, Zeng X, Li X (2013) Extension of parametric rule with the hedging rule for managing Multireservoir system during droughts. J Water Resour Plan Manag 139(2):139–148. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000241
Gupta J, van der Zaag P (2008) Interbasin water transfers and integrated water resources management: where engineering, science and politics interlock. Phys Chem Earth, Parts A/B/C 33(1–2):28–40. https://doi.org/10.1016/j.pce.2007.04.003
Hashimoto T, Stedinger JR, Loucks DP (1982) Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation. Water Resour Res 18(1):14–20
Jiang Y, Hu T, Huang CC, Wu X (2007) An improved particle swarm optimization algorithm. Appl Math Comput 193(1):231–239
Kangrang A, Chaleeraktrakoon C (2007) Genetic algorithms connected simulation with smoothing function for searching rule curves. Am J Appl Sci 4(2):73–79. https://doi.org/10.3844/ajassp.2007.73.79
Kennedy J, Eberhart R (1995) Particle swarm optimization. Neural networks, 1995. Proceedings., IEEE international conference on, Perth, WA, 19951942-1948. https://doi.org/10.1109/ICNN.1995.488968
Kumar DN, Reddy MJ (2007) Multipurpose reservoir operation using particle swarm optimization. J Water Resour Plan Manag 2006(3):192–201
Labadie JW (2004) Optimal operation of Multireservoir systems: state-of-the-art review. J Water Resour Plan Manag 130(2):93–111. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:2(93)
Lee J, Labadie JW (2007) Stochastic optimization of multireservoir systems via reinforcement learning. Water Resour Res 43(11):W11408. https://doi.org/10.1029/2006WR005627
Loucks DP, Van Beek E, Stedinger JR, Dijkman JP, Villars MT. (2005). Water resources systems planning and management: an introduction to methods, models and applications: Paris: UNESCO.
Mahjouri N, Ardestani M (2010) A game theoretic approach for interbasin water resources allocation considering the water quality issues. Environ Monit Assess 167(1–4):527–544. https://doi.org/10.1007/s10661-009-1070-y
Marinaki M, Marinakis Y, Stavroulakis GE (2011) Vibration control of beams with piezoelectric sensors and actuators using particle swarm optimization. Expert Syst Appl 38(6):6872–6883
MWR-PRC (2014) Liaoning Province water resources bulletin: ministry of water resources of PRC; Hall of Liaoning Province (Reprinted)
Peng Y, Chu J, Peng A, Zhou H (2015) Optimization operation model coupled with improving water-transfer rules and hedging rules for inter-basin water transfer-supply systems. Water Resour Manag 29(10):3787–3806
Sadegh M, Mahjouri N, Kerachian R (2010) Optimal Inter-Basin water allocation using crisp and fuzzy Shapley games. Water Resour Manag 24(10):2291–2310. https://doi.org/10.1007/s11269-009-9552-9
Shi Y, Eberhart RC (1999) Empirical study of particle swarm optimization. IEEE 3:1945–1950
Shiau J (2011) Analytical optimal hedging with explicit incorporation of reservoir release and carryover storage targets. Water Resour Res, 47(1):W01515. https://doi.org/10.1029/2010WR009166
Shih J, ReVelle C (1994) Water-supply operations during drought: continuous hedging rule. J Water Resour Plan Manag 120(5):613–629. https://doi.org/10.1061/(ASCE)0733-9496(1994)120:5(613)
Smith MG, Marin CM (1993) Analysis of short-run domestic water supply transfers under uncertainty. Water Resour Res 29(8):2909–2916. https://doi.org/10.1029/93WR00183
Taghian M, Rosbjerg D, Haghighi A, Madsen H (2013) Optimization of conventional rule curves coupled with hedging rules for reservoir operation. J Water Resour Plan Manag 140(5):693–698
Tu M, Hsu N, William WG, Yeh HMA (2003) Optimization of reservoir management and operation with hedging rules. J Water Resour Plan Manag 129(2):86–97. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:2(86)
Tu M, Hsu N, Tsai FTC, Yeh WWG (2008) Optimization of hedging rules for reservoir operations. J Water Resour Plan Manag 134(1):3–13. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:1(3)
Xi S, Wang B, Liang G, Li X, Lou L (2010) Inter-basin water transfer-supply model and risk analysis with consideration of rainfall forecast information. SCIENCE CHINA Technol Sci 53(12):3316–3323. https://doi.org/10.1007/s11431-010-4170-6
Zhang T, Hu T, Guo X, Chen Z, Zheng Y (2013) Solving high dimensional bilevel multiobjective programming problem using a hybrid particle swarm optimization algorithm with crossover operator. Knowl-Based Syst 53(0):13–19. https://doi.org/10.1016/j.knosys.2013.07.015
Zhao J, Cai X, Wang Z. (2011). Optimality conditions for a two-stage reservoir operation problem. Water Resour Res 47(8):W8503. https://doi.org/10.1029/2010WR009971
Acknowledgements
This research is jointly supported by the Natural Sciences Foundation of China (51409282), State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin (2016CG05), National Key Research and Development Program of China (grant 2016YFC0401302, 2017YFC0404403), and National Key Technology R&D Program (2015BAB07B03). The authors would also like to thank the anonymous reviewers for their review and constructive comments related to this manuscript.
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Wan, W., Guo, X., Lei, X. et al. A Novel Optimization Method for Multi-Reservoir Operation Policy Derivation in Complex Inter-Basin Water Transfer System. Water Resour Manage 32, 31–51 (2018). https://doi.org/10.1007/s11269-017-1735-1
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DOI: https://doi.org/10.1007/s11269-017-1735-1