一种基于总体能量平衡的管网平差计算方法  

An algorithm forthe hydraulic calculations of tube net based on total energy balance

作　　者：何川[1,2] 王丹[1,2] 王延军[1,2] 龙天渝[3] 

机构地区：[1]教育部低品位能源利用技术及系统重点实验室(重庆大学),重庆400044 [2]重庆大学动力工程学院,重庆400044 [3]重庆大学城市建设与环境工程学院,重庆400044

出　　处：《四川大学学报（自然科学版）》2012年第5期1081-1086,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：科技部国家重大科技专项(2009ZX07424-004)

摘　　要：本文根据节点处完整的能量平衡关系,改进了管网系统中管网平差计算的环能量方程并引入节点能量方程;针对节点能量方程的系数矩阵呈现病态时,利用常规线性方程组解法求得的解严重失真而导致迭代不收敛的问题,引入了边界条件求解相对节点压力,并对节点能量方程的系数矩阵进行行列均衡化处理,降低了方程系数矩阵的条件数,使方程组的解更精确.According to the complete energy conservation at junctions, we improved the loop energy equation and introduced the node energy equations in hydraulic calculations of the pipeline network system. As the coefficient matrix of the node energy equations showing a serious pathological, the conventional linear solutions distort seriously the correct solutions . The distorted solutions affect the accuracy and reliability of the results and lead the integrations not to converge eventually. In this paper, we intro- duced the boundary conditions and then processed the coefficient matrix with the approach of equalization processing to solve the ill-conditioned linear system of equations and evaluate the relative node pressure, which can improve the condition number and give the more accurate solution.

关 键 词：管网平差计算 能量平衡方程 病态 均衡化处理 

分 类 号：TU991.3[建筑科学—市政工程]