Uncertainty Analysis of Water Distribution Networks by Fuzzy-Cross Entropy Approach
Uncertainty Analysis of Water Distribution Networks by Fuzzy-Cross Entropy Approach
复制标题
模糊交叉熵法对供水管网的不确定性分析
DOI：
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发表时间：
2011
期刊：
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通讯作者：
M. J. Reddy
中科院分区：
文献类型：
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作者：
M. J. Reddy
本文提出了一种模糊交叉熵（Fuzzy Cross Entropy，CE）模型，用于给水管网的不确定性分析。该模型利用模糊集理论处理不确定输入信息，研究输入不确定性对给水管网问题未知输出的传播;采用交叉熵法对管道流量、节点水头等不确定性输出参数的隶属函数进行优化。该模型与EPANET连接进行水力仿真。将该模型应用于一个双回路给水管网，以管道粗糙度系数作为不确定性输入参数，研究了不确定性对输出参数的传播。所得结果与以往研究的解决方案进行了比较，发现所提出的方法是有效的，在处理输入参数的不确定性和不确定的输出参数的隶属函数的优化。关键词-交叉熵，模糊集，不确定性分析，给水管网
This paper presents a Fuzzy – Cross entropy (CE) model for uncertainty analysis of water distribution networks (WDN), in which, the fuzzy set theory is used to deal with uncertain input information and to study the propagation of input uncertainty to the unknown outputs of the WDN problem; and the cross entropy method is used for optimization of the membership functions of uncertain output parameters such as pipe discharges and nodal heads. The model is linked with EPANET for hydraulic simulation. The model is applied to a two loop water distribution network, in which roughness coefficient of pipes has been selected as the uncertain input parameter and the uncertainty propagation on output parameters is investigated. The obtained results are compared with solutions of past studies and it is found that the proposed approach is effective in dealing with uncertainty in input parameters and optimization of membership functions of uncertain output parameters. Keywords—cross entropy, fuzzy sets, uncertainty analysis, water distribution networks