基于集对势的供水系统级联失效下节点重要度分析  

Nodal importance analysis of water supply system under cascade failure based on set pair potential

作　　者：张明媛[1] 高颖[1] 袁永博[1] 

机构地区：[1]大连理工大学建设工程学部,辽宁大连116024

出　　处：《自然灾害学报》2015年第4期197-206,共10页Journal of Natural Disasters

基　　金：国家自然科学基金项目(51208081);辽宁省高等学校科研计划项目(L2014034)

摘　　要：供水网络在灾害作用下的破坏模式多为由于网络中某些节点的破坏造成整个系统的连锁反应,级联失效的现象放大了管网系统遭受破坏的影响范围和程度,因此判断级联失效下的供水管网节点重要度对系统抗灾能力研究具有一定的意义。以往研究没有考虑系统发生一次破坏后的暂时稳定状态之后的发展趋势,以及处于暂时稳定状态的节点对系统最终可能状态的影响。基于集对分析理论,通过计算集对势,对供水网络一次破坏之后的系统发展态势进行了分析,利用集对势分析网络中节点的破坏对其他节点的影响程度,进而得出供水网络节点的重要度排序。这种考虑系统发展趋势的节点重要度评价,为网络系统中的节点重要性评价提供了一种新的研究方法和思路。Most failure modes of water supply system in disaster are the destruction of some nodes in the network and it often leads to the cascading failure of the entire network. Cascading failure phenomenon expands the destruc- tion impact scope and degree of the water supply system. Therefore, determining the nodal importance of water sup- ply system under cascading failure has a certain significance in research on disaster resistance capacity of the sys- ten. Previous studies did not consider the development trend of a temporary steady state after once destruction , as well as the influence of a node in a temporary stable state on the system eventually possible state. Based on set pair analysis theory, the water supply system development trend after the first destruction was analyzed and by use of effect of failure nodes on other nodes in network, the importance of nodes in water supply system was sequenced by calculating the set pair potential. This evaluation of nodal importance considering the system development trend pro- vides a new research method and idea for the nodal importance evaluation.

关 键 词：节点重要度 集对分析 集对势 供水系统 级联失效 

分 类 号：TU991[建筑科学—市政工程] N949[自然科学总论—系统科学]