Research on Application of Trust Region Method for Hydraulic Calculation of Water Distribution Network

CHU Cheng-shan1,QI Shu-yan2,LU Zhi-qiang3,ZHANG Guang2,WANG Bei2(1.Research Center for Sustainable Development Chinese Academy of Social Science,Beijing 100732,China; 2.Tianjin TianBao Public Service Co.ltd,Tianjin 300461,China; 3.North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450008,China)

trust region method;water distribution network;hydraulic calculation;non-linear least squares method

Hydraulic calculation for water distribution network is an important and indispensable factor for optimal design of water distribution network and the simulation of operation status.The calculation result and speed determines the reliability and real-time of the optimal design and simulation for water distribution network.To quickly and exactly implement the hydraulic calculation of water distribution network,the hydraulic calculation model for water distribution network was set up in this paper.Aiming at its characteristic of nonlinear and the shortcoming of general solutions,the trust region method was presented.Furthermore,the authors made an emphasis analysis on the model and solution of trust region method,and wrote programme code for computation with Matlab language.Lastly,a complicated water distribution network of Qingfeng county of HeNan province was used to test the method.The result showed that the method of trust region was practical and valid for hydraulic calculation of water distribution network.At the same time,the method of trust region gave a good reference to water supply system and other engineer fields.