信赖域法用于给水管网水力计算的研究

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

给水管网水力计算是进行管网优化设计和进行管网运行工况模拟的一个不可缺少的重要环节,该过程的计算结果和求解速度决定了管网优化设计和运行模拟的可靠性和实时性。为快速、准确实现管网水力计算,建立了给水管网水力计算模型,针对该模型的为求解非线性方程组实质,以及常规求解方法存在的缺陷,提出了管网水力计算的信赖域法,并着重对信赖域法数学模型和求解过程进行剖析,用MATLAB编程语言编写了管网水力计算的计算程序。最后以河南省清丰县一个复杂的给水管网实例进行验证,结果说明了信赖域法能有效地应用于给水管网水力计算。同时也为信赖域法在给水领域和其他工程领域的应用提供了借鉴。

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.