The Research Of Optimal Design Of District Metered Areas In Complex Water Distribution Systems

With the rapid development of urban and rural integration in our country,the scale of urbanization continues to increase,and the number of people is increasing.As a result,problems in the water distribution industry are that the water demand is more and more large,the scale of water distribution systems is expanding and the structure is more complicated.These problems make the difficulties in design,operation and management of water distribution systems increasing,and the benefit of the water distribution enterprise is also affected to a certain extent.In order to solve the above problems,this article takes the community structure mining algorithm in system science and the spectral clustering algorithm as the main theoretical basis,and gets the analysis and the simulation of water distribution systems using MATLAB software and EPANET software as research tools.the method-spectral clustering for design of district metered areas in water distribution systems is proposed.Firstly,this method is analyzed and simulated,and then the water distribution systems is abstracted into a complex network model.Secondly,according to the spectral clustering algorithm,the network structure of the pipe network is excavated and the clusters are partitioned according to the internal relations among the nodes,some different programs are given.Finally,according to the modularity,the scale balance,and the pressure balance,the different schemes are analyzed and the optimal scheme is obtained.Taking the water supply industry benchmark pipeline network as the case,the reliability analysis of this research method is performed.Taking the New York Tunnel Network and the Go Yang Network as examples,the results of mining the community structure using this method are in line with its geographical natural division,which proves that the clustering method is practical and feasible.Besides,taking the Colorado Springs Network as an example,after a reasonable simplification,this pipe network contains a total of 1100 nodes and 1302 connections,and the structure is relatively complicated.Using this method,12 partitions are divided into four different partitioning schemes.The satisfaction degree of the optimal scheme is 0.71.The index of the optimal solution module is 0.7596,which is a high value of the community structure,and the community mining is better.The number of district water use nodes is mostly concentrated between 70 and 130,and the scale is more balanced.The pressure equalization index is 1.750,and the average pressure of the water nodes in the sub-regions does not change much,and the pressure is more balanced.The convergence of the optimal solution evolution is achieved 30 times,and its operating speed has practical significance.