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首页> 外文期刊>European Journal of Environmental and Civil Engineering >A Newton-Raphson analysis of urban water systems based on nodal head-driven outflow
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A Newton-Raphson analysis of urban water systems based on nodal head-driven outflow

机译：基于节点头驱动流出的城市供水系统的牛顿-拉夫森分析

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The urban water distribution systems are conventionally analysed using iterative methods such as Cross, Linear, Newton-Raphson and Gradient algorithm. The basic assumption of those methods is that the outflow is concentrated at the nodes and it is always known and constant. However, the outflow at each node is dependent on the pressure at the node. The paper presents a new methodology for analysing looped water distribution systems, incorporating the pressure-dependent outflow at each node using the h-Newton-Raphson method as it was modified recently by using a direct and exact equation to calculate the flow of each branch with respect to the corresponding hydraulic heads. The resulted algorithm is simpler and more accurate compared to the other head-driven h-Newton-Raphson methods, while it avoids the use of the hydraulic resistance. A numerical example is presented to illustrate the proposed methodology and its performance.
机译：通常使用迭代方法（例如，Cross，Linear，Newton-Raphson和Gradient算法）来分析城市供水系统。这些方法的基本假设是，流出量集中在节点上，并且始终是已知的且恒定的。但是，每个节点的流出量取决于该节点的压力。本文提出了一种用于分析循环水分配系统的新方法，该方法使用h-Newton-Raphson方法在每个节点处合并了压力相关的流出量，该方法最近已通过使用直接精确方程来计算每个分支的流量而进行了修改。相对于相应的液压头。与其他头部驱动的h-Newton-Raphson方法相比，生成的算法更简单，更准确，同时避免了使用液压阻力。数值例子说明了所提出的方法及其性能。

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