Abstract
The third Huaiyin pumping station in the South-to-North Water Diversion Project aims to solve the problem of lack of water. In order to save on electricity while satisfying the required flow demand, the operation optimization problem of the third Huaiyin pumping station is investigated, with a mathematical model set up to simulate the optimal daily operation, in which the pump units can have variable speed. After analyzing the characteristics of the mathematical model, an improved dynamic programming algorithm is presented to decrease the dimensions of the operation optimization problem and save electricity cost, which enables us to perform a practical engineering application. After discretization of the optimization problem has been achieved, the number of operational schedule sequences could be reduced and optimal scheduling could be achieved to save electricity costs by power constraint, classified enumeration constraint, feasible combination constraint and flow demand constraint. Through research and analysis of the working of the third Huaiyin pumping station, optimal operational scheduling of multiple pump units with variable speed operation using variable frequency drive (VFD) can lessen the electricity tariff significantly compared with dynamic programming with the successive approximation method and decomposition/aggregation-dynamic programming method. The operational electricity tariff is reduced by 7.71% by the improved dynamic programming algorithm in comparison with the benchmark scheduling. Simulation results demonstrate that the cost efficiency comes from variable speed operation with VFD and flow demand transfer from the time periods when a high electricity tariff applies to time periods of a low electricity tariff based on the time-of-use electricity tariff.
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References
Bortoni EDC, Almeida RAD, Viana ANC (2008) Optimization of parallel variable-speed-driven centrifugal pumps operation. Energ Effic 1(3):167–173
Chau KW (2007) A split-step particle swarm optimization algorithm in river stage forecasting. J Hydrol 346(3-4):131–135
Cheng JL, Zhang LH, Zhang RT, Gong Y, Zhu HG, Deng DS (2010) Optimal methodology of single-unit variable speed operation in pumping station. Trans Chin Soc Agri Mach 41(3):72–76
Cheng C, Liu B, Chau KW, Li G, Liao S (2015) China’s small hydropower and its dispatching management. Renew Sust Energ Rev 42:43–55
Gong Y (2011) Study on some related optimal methods for operation of pumping stations in eastern route of south-to-north water diversion project. PhD thesis Yangzhou University, Yangzhou, China
Gong Y, Cheng JL, Zhang RT, Zhang LH (2011) Optimization on variable speed operation with VFD for No. 3 Huaiyin Pumping Station based on Decomposition-dynamic Programming Aggregation Method. Trans Chin Soc of Agri Eng 27(3):79–83
Lingireddy S, Wood DJ (1998) Improved operation of water distribution systems using variable-speed pumps. J Energ Eng 124(3):90–103
Mariño MA, Moradi-Jalal M, Afshar A (2003) Optimal design and operation of irrigation pumping station. J Irrig Drain Eng 129(3):149–154
McCormick G, Powell R (2003) Optimal pump scheduling in water supply systems with maximum demand charges. J Water Res Plan Man 129(5):372–379
McCormick G, Powell R (2004) Derivation of near-optimal pump schedules for water distribution by simulated annealing. J Oper Res Soc 55(7):728–736
Mousavi SJ, Anzab NR, Asl-Rousta B, Kim JH (2017) Multi-objective optimization-simulation for reliability-based inter-basin water allocation. Water Resour Manag 31(11):3445–3464
Nace D, Demotier S, Carlier J, Daguinos T, Kora R (2001) Using linear programming methods for optimizing the real-time pump scheduling. World Water and Environmental Resources Congress 1-8 May Orlando, United States
Ostfeld A, Tubaltzev A (2008) Ant colony optimization for least-cost design and operation of pumping water distribution systems. J Water Res Plan Man 134(2):107–118
Quan Y, Wang CX, Yan Y, Wu G, Zhang HX (2016) Impact of inter-basin water transfer projects on regional ecological security from a telecoupling perspective. Sustainability-Basel 8(2):162
Shaaban H, Grujić L (1986) The decomposition-aggregation method applied to a multimachine power system. Large Scale Syst Info Decis Technol 10(2):115–132
Wan F, Yuan WL (2017) Derivation of tri-level programming model for multi-reservoir optimal operation in inter-basin transfer-diversion-supply project. Water Resour Manag 31(1):479–494
Wang HM, Chen ZS, Su SLI (2012) Optimal pricing and coordination schemes for the Eastern Route of the South-to-North Water Diversion supply chain system in China. Transportation J 51(4):487–505
Wegley C, Eusuff M, Lansey K (2000) Determining pump operations using particle swarm optimization. Joint Conference on Water Resource Engineering and Water Resources Planning and Management 1-6 Sep, Minneapolis, United States
Zhao ZY, Zuo J, Zillante G (2017) Transformation of water resource management: a case study of the South-to-North Water Diversion project. J Clean Prod 163:136–145
Zhuan XT, Xia XH (2013) Development of efficient model predictive control strategy for cost-optimal operation of a water pumping station. IEEE T Contr Syst T 21(4):1449–1454
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The project was financially supported by the International Science & Technology Cooperation Program of China (Grant No. 2015DFG72440).
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Zhang, L., Zhuan, X. Optimization on the VFDs’ Operation for Pump Units. Water Resour Manage 33, 355–368 (2019). https://doi.org/10.1007/s11269-018-2106-2
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DOI: https://doi.org/10.1007/s11269-018-2106-2