The Optimal Distribution Of Pressure Measure Points And State Estimation Of Water Supply Network In Xining

It is very important to estimate the state of water supply network for reconstruction or extending networks, for daily management and even for optimal control of the networksIn this paper, all nodes of the water network with the similar regularity of water pressure varying are classified to one group by fuzzy clustering. Then the most representative node in each group is selected as the locality for setting pressure measure apparatus. The pressure measure points in Xi'ning are optimized and selected by this way. There are 32 measure points which will be setted in the network (16 setted). The proportion of water pressure measure points in all the nodes of the network is 1/4. Generally speaking, the proportion should be 1/5-1/6 in middle and small network. Considering the network 's situation, the place and number of measure points's setting is more effective in future.The steps of Reduced Gradient optimal method is used on solving the Least Squares theory model. At some situation, some nodes pressure and supply of all water-supply sources are measured in Xi'ning (resistance parameter of all pipes are known). By using the pressure of the experiment and optimal measure points, the state simulation is done respectively to get all nodes' pressure. The comparison of the estimation results express that the optimal measure points is more representative than experiment one. At the same time, its precision is obvious well than experiment one. Square root of the average of the square summation of the difference between all estimated node water pressure H* and all real node water pressure H0 is 2.04m in Xi'ning network. Meanwhile it analyzes the error of state estimation and raises the termination criterion for iteration.