基于节点的长距离输水系统网络结构抗毁性测度

为量化长距离输水系统网络结构抗毁性,根据输水系统拓扑网络特征,分析输水节点结构重要性与网络结构抗毁性的耦联关系;从节点中心位置、节点被并行中心节点替代程度两个维度,刻画输水系统节点位置对网络结构抗毁性的影响,建立耦合中心性、容毁性的节点结构重要性表达;通过计算平均节点结构重要度,确定节点对系统破坏贡献程度,分析节点结构重要度离散水平,综合表达输水系统网络结构抗毁性。工程案例表明:处在中心且不可替代的节点最重要,对网络结构抗毁性影响最大,应重点监控并优化;节点结构重要度分布越离散,网络结构抗毁性越低。该方法可为从长距离输水网络结构视角分析其系统可靠性提供定量测度手段。

Node-based estimation of network structural invulnerability of long distance water conveyance system

In order to quantify the network structural invulnerability of long distance water conveyance system， the coupling relationship between the importance of the water conveyance node structure and the network structural invulnerability is analyzed herein. From the two dimensions， i.e. the center of the node and the degree of the node that is replaced by the parallel central node， the impact of the location of the water conveyance node on the network structural invulnerability is depicted， and then the expression on the importance of the coupling centrality and the damage tolerance for the node structure is established. Through calculating the importance degree of the mean node structure， the contribution degree of the node to the system damage is determined and the dispersed level of the importance degree of the node structure is analyzed， by which the invulnerability of the network structure of water conveyance system is comprehensively expressed. The actual engineering case shows that the node that is irreplaceable and is located in the center is most important， of which the impact on the invulnerability of the network structure is the maximum， thus must be emphatically monitored and optimized. The more the distribution of the importance degree of the node structure is， the lower the invulnerability of the network structure is to be. This method can provide a means of quantitive estimation for analyzing the system reliability from the aspect the network structure of long distance water conveyance.