The leakage of water distribution system has always been a major problem in the water industry that affects the safety of the pipe networks.In recent year,it has been proved through continuous practice that District Metered Area(DMA)has developed into one of the important technologies for the water distribution systems to control leakage.This paper constructs a complex network model of water distribution systems based on the complex network theory,A method is proposed to divide the DMA partition of the water distribution systems by using the poor resilience index of the pipe network nodes and the water head loss of the pipe network.The DMA partition method is mainly divided into two steps: First,The DMA partition boundary pipeline is solved based on adaptive spectral clustering algorithm.Based on the complex network model,the algorithm constructs a similar matrix with poor resilience index of the pipe network nodes,and optimizes the construction method to avoid manual setting of parameters.At the same time,the algorithm can screen the optimal number of partitions for the pipe network that defines the number of partitions,which is helpful to improve the efficiency of partitions.Secondly,solve the DMA partition water inlet and valve position.Taking the minimum head loss from the water source to the central node of each DMA partition as the optimization goal,the pipeline head loss weight matrix is constructed based on the complex network model,The shortest weighted path algorithm is used to solve the location of the water inlets in the districts,and the remaining borders are connected to pipelines to arrange valves to complete the division of the overall DMA district of the water distribution systems.Finally,the partition method proposed in this paper is applied to the example pipe network,divided into 5 DMA areas.The safety and reliability evaluation test of the partition result is carried out from the three aspects of pipe network pressure control level,pipe network leakage control level and network reliability evaluation.It can be seen from the inspection results that the average pressure of the pipe network after the partition is reduced from the original 41.4m to 40 m,the uniformity index of the pressure of each partition of the pipe network is less than 0.5,and the pipe network is greater than 14 m after the accident check and the fire check,which proves After the division,the pressure of the pipeline network is effectively controlled;after the division,the overall leakage of the pipeline network is reduced,and the leakage amount of the pipeline network at each time is reduced by an average of 14.5L/s,and the leakage amount is controlled;the pipeline network at each time before the division The average hydraulic reliability index is 1.91,and the average hydraulic reliability index of the pipeline network at each time after the partition is 1.83,and there is no significant change in the reliability index before and after the partition.In summary,according to the evaluation results,the DMA partition method of the pipe network is feasible.The number of partitions can be automatically determined for different water distribution systems which is applicable.And it can provide a reference method for DMA partitions of water supply pipe networks in the future. |