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Integrating entropy theory and cospanning tree technique for redundancy analysis of water distribution networks

机译：结合熵理论和Cospanning树技术进行配水网冗余分析

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A large number of recent studies have addressed the redundancy evaluation of Water Distribution Networks (WDNs) from a hydraulic perspective. There already exist a few topological redundancy metrics, which address very basic structural characterizations of networks and therefore fail to realistically capture the inherent topological redundancy. To remedy this weakness, we introduce, for the first time, a two-tiered approach to evaluate the redundancy of WDNs. Tier one is supported by the cospanning tree technique which offers a novel method to measure the local redundancy of pipes. Tier two uses the results of the level one and posits the informational entropy theory as a tool to measure the global redundancy of networks. An attempt has been made to generate a new robustness index as a measure to quantify the redundancy. The proposed redundancy index can be interpreted as a measure of distance from the maximum possible redundancy. In order to demonstrate the proposed method, the paper presents two case studies, a hypothetical network and a real world WDN of an Australian town. Comparison of the presented method with conventional redundancy measures reveals the superiority of the proposed redundancy method.
机译：大量的近期研究从水力角度解决了水分配网络（WDN）的冗余评估问题。已经存在一些拓扑冗余度量标准，这些度量标准解决了网络的非常基本的结构特征，因此无法现实地捕获固有的拓扑冗余。为了弥补这一弱点，我们首次引入了两层方法来评估WDN的冗余性。分层树技术支持第一种方法，该方法提供了一种测量管道局部冗余的新颖方法。第二层使用第一层的结果，并将信息熵理论作为一种工具来衡量网络的全局冗余。已经尝试生成新的鲁棒性指数作为量化冗余的措施。提议的冗余指数可以解释为距最大可能冗余的距离的度量。为了证明所提出的方法，本文提出了两个案例研究，一个假设的网络和一个澳大利亚小镇的真实世界的WDN。所提出的方法与常规冗余方法的比较揭示了所提出的冗余方法的优越性。

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