功能耦合的城市水电网络抗震韧性分析方法

Seismic resilience analysis of urban water and power networks with functional coupling characteristics

水电网络作为城市基础设施的重要组成部分,在城市日常运行中承担着为城市居民生产生活供水供电的重要任务,一旦在地震中遭受破坏,将会对城市的应急救援、火场消防、医疗保障等产生显著的影响,为此应充分保障其抗震韧性。为实现对具有高度功能耦合特性的水电网络进行抗震韧性分析,提出一项基于网络流理论的耦合水电网络抗震韧性分析方法。该方法首先建立水电系统协同恢复的优化目标函数,同时根据网络流方法,建立水电系统地震灾后功能恢复过程中的约束条件,通过混合整数规划方法并基于Gurobi求解器进行求解。该方法一方面可以有效地评估各网络不同部分的抗震性能,另一方面又能够根据既有维修资源,合理安排维修任务,实现耦合系统的最优恢复。研究结果表明:由于水电网络构件物理破坏的不确定性,其恢复过程呈现显著的离散性,且这种离散性随时间变化而变化;从平均意义上来看,电网比水网表现出更快的恢复速度。

As critical components of urban infrastructure,water and power supply networks play important roles by supplying water and power for living and production to maintain daily operation in urban areas.In previous earthquakes,seismic damage to these facilities has severe impact on urban emergency rescue,firefighting,and health care.Therefore,it is of great significance to ensure the seismic resilience of water and power supply networks.A new methodology based on network flow theory was proposed for the seismic resilience analysis of water and power supply networks with highly functional interdependent characteristics.First,the optimal objective function of the collaborative recovery of water and power supply networks was established,and the constraint conditions of the post-earthquake functional recovery of water and power supply networks were presented according to the network flow method.On the basis of the Gurobi solver,the coupled model was solved by the mixed integer programming method.The proposed method could effectively evaluate the seismic performance of different parts of each network.Moreover,the repair tasks could be reasonably distributed according to the existing repair resources to realize the optimal recovery of the interdependent networks.Results show that due to the uncertainties of physical damage of the components of water and power supply networks,the recovery process of water and power supply networks exhibited significant discreteness,and the discreteness changed over time.On average,the recovery speed of power grids was faster than that of water supply networks.