大环平差法在多水源环状管网计算中的应用
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摘要
为了加快管网闭合差的收敛速率,简化环状管网水力计算过程,减少管网平差次数和计算工作量,进行了基于哈代—克罗斯平差法的大环平差方法,以单一水源和多水源环状管网平差过程为例,阐述了大环平差法在城市供水环状管网水力计算中的应用.结果表明:对于单一水源环状管网平差,应先对闭合差最大的大环进行平差,使其对其他环产生较大的影响,从而加快收敛速度,有时甚至可使其他环的闭合差改变方向.多水源环状管网平差较单水源要更为复杂,不仅需要增设虚节点,计算次数也大大增加.采用大环平差法可以在很大程度上加快收敛速度,保证管网闭合差向着有序的方向,达到计算要求.
In order to increase the convergence rate of closure error of pipeline network, simplify the hydraulic calculation process of circular pipeline network, and reduce the adjustment times and calculation workload of pipeline network, the method of large ring adjustment based on Hardy-Cross adjustment method is adopted. Taking the adjustment process of single-source and multi-source circular pipeline network as an example, the application of large ring adjustment method in the hydraulic calculation of urban water supply circular pipeline network is expounded. The results show that for the adjustment of single water source annular network, the adjustment of the large ring with the largest closure error should be carried out first, so as to have a greater impact on other rings, thus speeding up the convergence speed, sometimes even changing the direction of closure error of other rings; the adjustment of multi-water source annular network is more complex than that of single water source, which requires not only adding virtual nodes, but also greatly increasing the number of calculations and adopting larger ones. The large ring adjustment method can speed up the convergence rate to a great extent, and ensure that the closure error of the pipeline network is less in an orderly direction until it meets the calculation requirements.
In order to increase the convergence rate of closure error of pipeline network, simplify the hydraulic calculation process of circular pipeline network, and reduce the adjustment times and calculation workload of pipeline network, the method of large ring adjustment based on Hardy-Cross adjustment method is adopted. Taking the adjustment process of single-source and multi-source circular pipeline network as an example, the application of large ring adjustment method in the hydraulic calculation of urban water supply circular pipeline network is expounded. The results show that for the adjustment of single water source annular network, the adjustment of the large ring with the largest closure error should be carried out first, so as to have a greater impact on other rings, thus speeding up the convergence speed, sometimes even changing the direction of closure error of other rings; the adjustment of multi-water source annular network is more complex than that of single water source, which requires not only adding virtual nodes, but also greatly increasing the number of calculations and adopting larger ones. The large ring adjustment method can speed up the convergence rate to a great extent, and ensure that the closure error of the pipeline network is less in an orderly direction until it meets the calculation requirements.
引文
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[2] 鲁敏,邹积军,赵华富.给水规划中管网平差方法研究[J].给水排水,2012(S2):208-209.
[3] 傅维秀.城市给水管网改扩建优化设计方法研究:以威海市某区给水管网改扩建工程为例[D].西安:西安理工大学,2006.
[4] 张祥丹,王家民.给水管网扩建工程优化设计方法研究[J].工业用水与废水,2005,36(2):96-96.
[5] 张卫祥.论管网平差理论与其在市政给水管网建设中的应用[J].科技与生活,2010(13):96-96.
[6] 张汐.市政供水管网平差计算过程分析[J].建筑工程技术与设计,2015(11):1186-1187.
[7] 路阳,王峥,梁磊.山区城市供水管网平差计算方法及应用[J].市政技术,2012,30(1):75-77.