Optimization of lift distribution of cascade pumping stations based on genetic algorithm
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Abstract:
With the rapid development of industry,agriculture, and the improvement of residents′ living standards,the demand of regional water resources has also increased.The water delivery project of series cascade pumping stations has played a huge role in realizing the rational allocation and scientific dispatch of water resources in different regions.The research on the optimal dispatching of water delivery project of series cascade pumping station has always been a common concern in the field of water conservancy system optimization because it has the characteristics of long distance along the line,large water flows,large head change,and large energy consumption.Most researches at home and abroad usually use optimization algorithms such as linearnonlinear programming,dynamic programming,ant colony algorithm,particle swarm optimization,and large-scale system decomposition.These traditional optimization algorithms are used in solving relatively complex mathematical models.Each has its advantages,but at the same time,it is easy to fall into the "dimensionality disaster",which leads to a huge amount of calculation and is not helpful to the generation of results. At present,most researches on the head optimization distribution of cascade pumping stations are carried out based on design conditions or certain specific operating conditions,and little attention is paid to the optimal operation of the pumping station group systems under nondesign conditions.The water delivery system of the cascade pumping station group is often operating under undesigned conditions,affected by factors such as changes in water load,fluctuations in the incoming water process,and adjustment of pumping station units.Taking the water transfer section from the north to the Huaijiang River as the research area,using a genetic algorithmbased model for the optimization of the head distribution of the series cascade pumping station,a study on the head optimization distribution of the water delivery system of the series cascade pumping station is carried out.The efficient operation plan of the water delivery system of the river water north section is analyzed and calculated.In this project,genetic algorithm is used to solve the problem.The modelling first determines the objective function,decision variables,and constraint conditions,and then performs preprocessing on the flow operation interval and discrete step length,to determine the set of operating conditions of the pumping station.The flow individuals are generated randomly by coding to solve the problem in the next step. (1) Based on the optimized efficiency of the Xifeihe,Kantuanan,Xifeihebei,Zhuji,and Longde single-stage pumping stations and the hydraulic calculation results between the five stages of the Xifeihe-Longde pumping station section,the head optimization of the series cascade pumping station was constructed,and then the distribution model is calculated for the optimal head distribution in each station under the design conditions and different cascade net head conditions of the water delivery system of the river water north section.The result shows that the total efficiency of the cascade pumping station is increased by 286% after the calculation of the optimized model.(2) Simultaneously,the optimal head distribution scheme,the optimal water level combination between the cascades,and the optimal efficiency of the water conveyance system are calculated for any net head corresponding to different water conveyance flow conditions under the off-design condition.Comprehensive analysis and optimization of the calculation results can provide a basis for the operation of the water transfer system of the cascade pumping station under different working conditions. This paper constructs a head optimization distribution model for series cascade pumping stations is constructed based on the genetic algorithm,which is applied to the economic operation of the water transfer section of the water diversion from the Yangtze River to the Huaijiang River to achieve the purpose of efficient operation and has high application value.Therefore,it is suitable for medium and large cascade pumping station projects.The study of the economic operation has an important significance,and this article is aimed at maximizing efficiency,and the results can be applied to the optimization research of time-of-use electricity rates so that the entire system can obtain the best comprehensive benefits.
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