Derivation of Hydropower Rules for Multireservoir Systems and Its Application for Optimal Reservoir Storage Allocation
Publication: Journal of Water Resources Planning and Management
Volume 145, Issue 5
Abstract
Hydropower operating rules can guide reservoir release and storage for maximizing hydropower generation. The optimal hydropower operating rules are usually derived by numerical hydropower simulation methods. This study focuses on the analytical solution to optimal hydropower rules for storage allocation of a multireservoir system. An energy function, the -function, is proposed to describe the objective of hydropower generation. The -function for a multireservoir system can be represented as a function of two variables: the proportional coefficient (alpha, which represents the proportional relationship between any two reservoirs in a multireservoir system) and the total increment in storage. The alpha discriminant deduced from the -function is used to infer the optimal reservoir storage allocation for maximum hydropower generation. With the Ankang-Danjiangkou reservoirs as a case study, the -function and the alpha discriminant were compared with the numerical hydropower simulation. The results indicated that (1) the -function can be used to estimate the hydropower generation for multireservoir systems with acceptable hydropower generation estimation errors between the analytical -function and the numerical hydropower simulation; and (2) the optimal reservoir storage allocation can be explicitly obtained using the alpha discriminant. These findings are helpful for understanding the allocation of reservoir storages in multireservoir systems.
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Acknowledgments
This study was supported by the National Key Research and Development Program (2016YFC0400907), the National Natural Science Foundation of China (51579180 and 51861125102), and the Natural Science Foundation of Hubei Province (2017CFA015).
References
Afzali, R., S. J. Mousavi, and A. Ghaheri. 2008. “Reliability-based simulation-optimization model for multireservoir hydropower systems operations: Khersan experience.” J. Water Resour. Plann. Manage. 134 (1): 24–33. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:1(24).
Ashrafi, S. M., and A. B. Dariane. 2017. “Coupled operating rules for optimal operation of multi-reservoir systems.” Water Resour. Manage. 31 (14): 4505–4520. https://doi.org/10.1007/s11269-017-1762-y.
Chandramouli, V., and H. Raman. 2001. “Multireservoir modeling with dynamic programming and neural networks.” J. Water Resour. Plann. Manage. 127 (2): 89–98. https://doi.org/10.1061/(ASCE)0733-9496(2001)127:2(89).
Clark, E. J. 1950. “New York control curves.” J. AWWA 42 (9): 823–827.
Draper, A. J., and J. R. Lund. 2004. “Optimal hedging and carryover storage value.” J. Water Resour. Plann. Manage. 130 (1): 83–87. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:1(83).
Guo, S., X. Li, P. Liu, and F. Guo. 2009. “Optimal operation of cascade hydropower plants.” In Proc., Asia-Pacific Power and Energy Engineering Conf., 1–4. New York: IEEE.
Guo, X., T. Hu, C. Wu, T. Zhang, and Y. Lv. 2013. “Multi-objective optimization of the proposed multi-reservoir operating policy using improved NSPSO.” Water Resour. Manage. 27 (7): 2137–2153. https://doi.org/10.1007/s11269-013-0280-9.
Haddad, O. B., A. Afshar, and M. A. Mariño. 2008. “Honey-bee mating optimization (HBMO) algorithm in deriving optimal operation rules for reservoirs.” J. Hydroinf. 10 (3): 257–264. https://doi.org/10.2166/hydro.2008.018.
Hui, R., and J. R. Lund. 2015. “Flood storage allocation rules for parallel reservoirs.” J. Water Resour. Plann. Manage. 141 (5): 04014075. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000469.
Jiang, Z., A. Li, C. Ji, H. Qin, S. Yu, and Y. Li. 2016. “Research and application of key technologies in drawing energy storage operation chart by discriminant coefficient method.” Energy 114: 774–786. https://doi.org/10.1016/j.energy.2016.08.043.
Johnson, S. A., J. R. Stedinger, and K. Staschus. 1991. “Heuristic operating policies for reservoir system simulation.” Water Resour. Res. 27 (5): 673–685. https://doi.org/10.1029/91WR00320.
Kelman, J., J. M. Damazio, J. L. Mariën, and J. P. Da Costa. 1989. “The determination of flood control volumes in a multireservoir system.” Water Resour. Res. 25 (3): 337–344. https://doi.org/10.1029/WR025i003p00337.
Labadie, J. W. 2004. “Optimal operation of multi-reservoir systems: State-of-the-art review.” J. Water Resour. Plann. Manage. 130 (2): 93–111. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:2(93).
Lerma, N., J. Paredes-Arquiola, J. Andreu, and A. Solera. 2013. “Development of operating rules for a complex multi-reservoir system by coupling genetic algorithms and network optimization.” Hydrol. Sci. J. 58 (4): 797–812. https://doi.org/10.1080/02626667.2013.779777.
Li, L., P. Liu, D. E. Rheinheimer, C. Deng, and Y. Zhou. 2014. “Identifying explicit formulation of operating rules for multi-reservoir systems using genetic programming.” Water Resour. Manage. 28 (6): 1545–1565. https://doi.org/10.1007/s11269-014-0563-9.
Liu, P., S. Guo, L. Xiong, W. Li, and H. Zhang. 2006. “Deriving reservoir refill operating rules by using the proposed DPNS model.” Water Resour. Manage. 20 (3): 337–357. https://doi.org/10.1007/s11269-006-0322-7.
Liu, P., S. Guo, X. Xu, and J. Chen. 2011. “Derivation of aggregation-based joint operating rule curves for cascade hydropower reservoirs.” Water Resour. Manage. 25 (13): 3177–3200. https://doi.org/10.1007/s11269-011-9851-9.
Lund, J. R. 2000. “Derived power production and energy drawdown rules for reservoirs.” J. Water Resour. Plann. Manage. 126 (2): 108–111. https://doi.org/10.1061/(ASCE)0733-9496(2000)126:2(108).
Lund, J. R., and J. Guzman. 1999. “Derived operating rules for reservoirs in series or in parallel.” J. Water Resour. Plann. Manage. 125 (3): 143–153. https://doi.org/10.1061/(ASCE)0733-9496(1999)125:3(143).
Ming, B., P. Liu, S. Guo, X. Zhang, M. Feng, and X. Wang. 2017. “Optimizing utility-scale photovoltaic power generation for integration into a hydropower reservoir by incorporating long- and short-term operational decisions.” Appl. Energy 204: 432–445. https://doi.org/10.1016/j.apenergy.2017.07.046.
Mohammadzadeh-Habili, J., and M. Heidarpour. 2010. “New empirical method for prediction of sediment distribution in reservoirs.” J. Hydrol. Eng. 15 (10): 813–821. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000259.
Nalbantis, I., and D. Koutsoyiannis. 1997. “A parametric rule for planning and management of multiple-reservoir systems.” Water Resour. Res. 33 (9): 2165–2177. https://doi.org/10.1029/97WR01034.
Oliveira, R., and D. P. Loucks. 1997. “Operating rules for multireservoir systems.” Water Resour. Res. 33 (4): 839–852. https://doi.org/10.1029/96WR03745.
Ostadrahimi, L., M. A. Mariño, and A. Afshar. 2012. “Multi-reservoir operation rules: Multi-swarm PSO-based optimization approach.” Water Resour. Manage. 26 (2): 407–427. https://doi.org/10.1007/s11269-011-9924-9.
Sheer, D. 1986. Dan Sheer’s reservoir operating guidelines. Ithaca, NY: School of Civil and Environmental Engeneering, Cornell Univ.
Sigvaldason, O. T. 1976. “A simulation model for operating a multipurpose multireservoir system.” Water Resour. Res. 12 (2): 263–278. https://doi.org/10.1029/WR012i002p00263.
Tejada-Guibert, J. A., S. A. Johnson, and J. R. Stedinger. 1995. “The value of hydrologic information in stochastic dynamic programming models of a multireservoir system.” Water Resour. Res. 31 (10): 2571–2579. https://doi.org/10.1029/95WR02172.
Wang, Y. C., J. Yoshitani, and K. Fukami. 2005. “Stochastic multiobjective optimization of reservoirs in parallel.” Hydrol. Process. 19 (18): 3551–3567. https://doi.org/10.1002/hyp.5845.
Yang, G., S. Guo, L. Li, X. Hong, and L. Wang. 2016. “Multi-objective operating rules for Danjiangkou reservoir under climate change.” Water Resour. Manage. 30 (3): 1183–1202. https://doi.org/10.1007/s11269-015-1220-7.
Yeh, W. W. G. 1985. “Reservoir management and operations models: A state-of-the-art review.” Water Resour. Res. 21 (12): 1797–1818. https://doi.org/10.1029/WR021i012p01797.
Zeng, X., T. Hu, L. Xiong, Z. Cao, and C.-Y. Xu. 2015. “Derivation of operation rules for reservoirs in parallel with joint water demand.” Water Resour. Res. 51 (12): 9539–9563. https://doi.org/10.1002/2015WR017250.
Zhang, X., P. Liu, C.-Y. Xu, B. Ming, A. Xie, and M. Feng. 2018. “Conditional value-at-risk for nonstationary streamflow and its application for derivation of the adaptive reservoir flood limited water level.” J. Water Resour. Plann. Manage. 144 (3): 04018005. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000906.
Zhao, T., J. Zhao, P. Liu, and X. Lei. 2015. “Evaluating the marginal utility principle for long-term hydropower scheduling.” Energy Convers. Manage. 106 (12): 213–223. https://doi.org/10.1016/j.enconman.2015.09.032.
Zhou, Y., S. Guo, P. Liu, C.-y. Xu, and X. Zhao. 2016. “Derivation of water and power operating rules for multi-reservoirs.” Hydrol. Sci. J. 61 (2): 359–370. https://doi.org/10.1080/02626667.2015.1035656.
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©2019 American Society of Civil Engineers.
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Received: Mar 19, 2018
Accepted: Oct 9, 2018
Published online: Feb 23, 2019
Published in print: May 1, 2019
Discussion open until: Jul 23, 2019
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