State simulation of water distribution networks based on DFP algorithm

Release time:2024-08-09  Hits:

• Affiliation of Author(s):环境与市政工程学院
• Journal:Journal of Central South University of Technology
• Key Words:中文关键字：供水管网；状态模拟；状态估计；DFP法，英文关键字：water distribution network; state simulation; stat
• Abstract:The improved weighted-least-square model was used for state simulation of water distribution networks. And DFP algorithm was applied to get the model solution. In order to fit DFP algorithm, the initial model was transformed into a non-constraint optimization problem using mass conservation. Then, through one dimensional optimization and scale matrix establishment, the feasible direction of iteration is obtained, and the values of state variables can be calculated. After several iterations, the optimal estimates of state variables were worked out and state simulation of water distribution networks is achieved as a result. A program of DFP algorithm is developed with Delphi 7 for verification. By running on a designed network, which is composed of 55 nodes, 94 pipes and 40 loops, it is proved that DFP algorithm can quickly get the convergence. After thirty-six iterations, the root mean square of all nodal head errors is reduced by 90.84% from 5.57 m to 0.51 m, and the maximum error is only 1.30 m. Compared to Marquardt algorithm, the procedure of DFP algorithm is more stable, and the initial values have less influences on calculation accuracy. Therefore, DFP algorithm can be used for real-time simulation of water distribution networks.
• Note:张卉
• Co-author:何文杰
• First Author:huangtinglin,zhanghui
• Indexed by:Journal paper
• Volume:卷：16
• Issue:期：S1
• Page Number:页：51-56
• Translation or Not:no
• Date of Publication:2009-12-01