Algorithm of optimal operation with adjustableblade and variable speed for pumping station
(1.College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou, Jiangsu 225009, China; 2.Jiangsu Surveying and Design Institute of Water Resources Co. Ltd., Yangzhou, Jiangsu 225009, China; 3.Water Conservancy Bureau of Huai′an City, Huai′an, Jiangsu 223001, China)
Abstract:A mathematical model of optimal operation with adjustableblade and variable speed for multiple pump units in pumping station was made and a decompositiondynamic programming aggregation method based on DPSA was proposed. With minimal daily electric consumption as the target, water quantity pumped by units as coordinated variable, the abovementioned model was decomposed into several submodels of daily optimal operation with adjustableblade and variable speed for single pump unit. The submodel took the blade angle and pump speed as decision variables, the discrete values of water quantity pumped by each unit as state variable, and was solved by applying DPSA. The constructed aggregation model took water quantity pumped by each pump unit as decision variable, the discrete values of water quantity pumped by pumping station as state variable, and was solved by dynamic programming method. Taking the operation of a pumping station as a case, the optimal operation of multiple pump units with adjustableblade and variable speed has average cost saving of 5.80%, 25.19% and 32.20% under 100%, 80%, and 60% loads respectively.
[1]程吉林, 张礼华, 张仁田, 等. 泵站单机组变速运行优化方法研究[J]. 农业机械学报, 2010,41(3): 72-76.Cheng Jilin, Zhang Lihua, Zhang Rentian, et al. Optima methodology of singleunit variable speed operation in pumping station[J]. Transactions of the Chinese Society for Agricultural Machinery, 2010,41(3): 72-76. (in Chinese)[2]龚懿, 程吉林, 张仁田, 等. 淮阴三站变频变速优化运行的分解-动态规划聚合法[J]. 农业工程学报, 2011, 27(3): 79-83.Gong Yi, Cheng Jilin, Zhang Rentian, et al. Optimization on variable speed operation with VFD for No.3 Huaiyin pumping station based on decompositiondynamic programming aggregation method[J]. Transactions of the CSAE, 2011, 27(3): 79-83. (in Chinese)[3]程吉林, 张礼华, 张仁田, 等. 泵站叶片可调单机组日运行优化方法研究[J]. 水利学报, 2010, 41(4): 499-504.Cheng Jilin, Zhang Lihua, Zhang Rentian, et al. Study on optimal dayoperation of single adjustableblade pump unit in pumping station[J]. Journal of Hydraulic Engineering, 2010, 41(4): 499-504. (in Chinese)[4]龚懿, 程吉林, 张仁田, 等. 泵站多机组叶片全调节优化运行分解-动态规划聚合方法[J]. 农业机械学报, 2010, 41(9): 27-31.Gong Yi, Cheng Jilin, Zhang Rentian, et al. Study of optimal operation method on multiple pump units with adjustableblade for single pumping station based on decompositiondynamic programming aggregation method[J]. Transactions of the Chinese Society for Agricultural Machinery, 2010, 41(9):27-31. (in Chinese)[5]龚懿, 程吉林, 张仁田, 等. 并联泵站群日优化运行方案算法[J]. 排灌机械工程学报, 2011, 29(3): 230-235.Gong Yi, Cheng Jilin, Zhang Rentian, et al. Algorithm of daily operation scheme for parallel pumping stations[J]. Journal of Drainage and Irrigation Machinery Engineering, 2011, 29(3): 230-235. (in Chinese)[6]Mahdi Moradi Jalal, Bryan W Karney. Optimal design and operation of irrigation pumping stations using mathematical programming and Genetic Algorithm (GA)[J]. Journal of Hydraulic Research, 2008, 46(2): 237-246.[7]Ostfeld A,Tubaltzev A. Ant colony optimization for leastcost design and operation of pumping water distribution systems[J]. Journal of Water Resources Planning and Management, 2008, 134(2): 107-118.[8]LópezIbáez M, Prasad T D, Paechter B. Ant colony optimization for optimal control of pumps in water distribution networks[J]. Journal of Water Resources Planning and Management, 2008, 134(4): 337-346.[9] Cooper L,Cooper Mary W. Introduction to Dynamic Programming[M]. New York: Pergamon Press, 1981.