Research On Optimal Control Of Water Supply Pipe Network By Pressure Reducing Valves Based On Shuffled Frog Leaping Algorithm

With the increasing shortage of water resources and the increasing demand for water,the leakage control of urban water supply network has attracted wide attention of water supply enterprises at home and abroad,and has become an important topic of network research.The leakage control level of water supply network mainly depends on the material selection,service life and other physical properties of the pipeline and ancillary facilities,as well as the flow,pressure and other operating parameters of the network.The pressure of the network is one of the important factors.Reducing the pressure of the network can effectively reduce the leakage of the water supply network.The control and application of pressure reducing valve is simple,and reasonable application can effectively reduce the pressure of pipe network.The optimal control of pressure reducing valve is of great significance to reduce the leakage and improve the utilization rate of water resources.Therefore,in this study,the optimal control model of pressure reducing valve in water supply network was studied,and the optimal control model of pressure reducing valve based on shuffled frog leaping algorithm was proposed.The research contents and main conclusions are as follows:(1)The optimal control model of pressure reducing valve based on hybrid leapfrog algorithm was established.The hydraulic model of water supply network was built by EPANET software.The leakage and loss of the pipeline network was simulated.The optimal partition of the pipeline network was carried out based on the shortest path method of graph theory.The optimized control of the pressure reducing valve was carried out for the water supply network after the partition,and the solution was solved by the hybrid leapfrog algorithm.Compared with genetic algorithm and particle swarm optimization algorithm,the hybrid leapfrog algorithm used in this study had strong advantages in operation efficiency,convergence results and algorithm stability.The optimal control model of pressure reducing valve based on hybrid leapfrog algorithm can simulate the leakage state of the pipe network more accurately and effectively control the leakage of the pipeline network.(2)Taking the water supply network of city A as the research object,three kinds of network partition schemes were constructed,which were based on river and administrative region(scheme 1),pipe section head loss(scheme 2),pipe section length and head loss(scheme 3).The optimal control model established in this research was used to optimize the pressure reducing valve settings and optimal control schemes of three partition schemes.The results showed that:① The leakage of the three schemes were close when the flow rate was minimum,but there were obvious differences in the surplus water head,which were in the order of scheme 1,scheme 2 and scheme 3.The pressure regulation effect of scheme 3 was better than that of scheme 1 and scheme 2.②Compared with the changes of the average pressure and leakage volume in the whole day,the leakage control effect of scheme 3 was better After optimization,the average pressure of the pipe network was reduced from 32.18 m to 28.95 m,and the leakage rate was reduced from 18.45%to 11.69%.It was estimated that the economic benefit brought by the reduced leakage volume was about 404 million/year.The application of the optimal control model of pressure reducing valve based on shuffled frog leaping algorithm could effectively reduce the leakage of water supply network,which is of great significance for saving water resources and improving the management level and service quality of water supply.