Research On The Resilience Of Urban Water Distribution Networks Based On Energy And Topology

Urban water distribution networks(UWDNs)are critical contributors to the social welfare,economic growth,and public health in cities.UWDNs performance can be evaluated by innovative methods and data acquisition considering uncertainties such as climate change,urban development,aging components,and interdependent infrastructure.Quantitative resilience assessments provide useful information for UWDNs operators and planners,enabling support systems that withstand disasters,recover quickly from failures,and adapt to uncertainties.At present,the study on resilience of urban water distribution network and the comprehensive study on the correlation between resilience and topological attribute metrics are extremely lacking in China,and the appropriateness of topological metrics used for resilience assessment is not clear yet.With the acceleration of urbanization,frequent occurrence of natural disasters and increasing demand for developing resilient cities,as an important infrastructure system,it is particularly important to research the resilience of UWDNs from the perspective of energy and topology.In the article,the original data of 7 UWDNs are obtained from a foreign open database.Firstly,the research status of resilience of UWDNs based on the energy is studied in this thesis,and on this basis the definition and calculation formula of resilience is illustrated.The hydraulic simulation software EPANET is called by Matlab to calculate the resilience index,which can be used as the target variable data for correlation analysis.Secondly,six key topological attributes of UWDNs(connectivity,efficiency,centrality,diversity,robustness and modularity)are studied by mathematical abstraction of UWDNs as graphs,corresponding to different topological attributes,the10 statistical metrics in graph theory are selected as basic metrics,then the Python is used to calculate the topological metrics and make a brief analysis of the results.Finally,on the base of random forest algorithm,the response model between resilience and topologicy of UWDNs is established.In order to analyze the resilience more comprehensively,the functional attributes,structure attributes and type attributes are also considered in the model.The random forest algorithm can rank the importance of metrics,so the importance of topological metrics based on topology correlated to the resilience based on energy can be revealed and the indicators that can comprehensively evaluate the resilience of UWDNs can be revealed.The results show that the connectivity(algebraic connectivity and link density)has strong correlation with the resilience,so the two metrics can achieve a comprehensive and rapid evaluation of the resilience of the UWDNs.The centrality(betweenness centrality),modularity(modularity indicator)and efficiency(diameter and average path length)have medium correlation with the resilience.The clustering coefficient and the meshedness coefficient of the connectivity,diversity(heterogeneity)and robustness(spectral gap)have weak correlation with the resilience.Then the functional attributes include the velocity of pipe and the node demand can better reflect the resilience of UWDNs while the structural and type attributes are weakly correlated with the resilience.Although there are some limitations in this article,a novel framework for mapping between the resilience performance and network topological attributes of UWDNs is proposed which can provide a reference for resilience assessment.