生命线工程网络抗震拓扑优化研究

Seismic Topology Optimization of Lifeline Networks Based on Seismic Reliability

介绍了基于连通可靠度分析的生命线工程网络和基于功能可靠度分析的供水管网抗震拓扑优化分析方法。以管网造价为优化目标,管网拓扑结构为优化参数,抗震连通可靠度为约束,建立了基于连通可靠度分析的生命线工程网络抗震拓扑优化模型。对于这样一个组合优化问题,采用现代优化算法-遗传算法来进行求解可以获得造价低且满足管网抗震可靠度要求的最优网络。改用抗震功能可靠度为约束,可以建立基于功能可靠度分析的供水管网的抗震拓扑优化模型,这一问题可以采用模拟退火算法来进行求解,实例分析表明模拟退火算法具有很好的效果。最后,利用模拟退火算法,对四川省都江堰市、绵竹市和德阳市供水管网进行了抗震拓扑优化改造分析,给出了三个城市供水管网的恢复重建方案。

In this paper, seismic topology optimizations of lifeline networks based on connectivity reliability and water distribution networks based on functional reliability are introduced. Taking network＇s cost as optimization object and seismic connectivity reliability as constraint, a network topology optimization model based on connectivity reliability can be established. A genetic algorithm, a combinational optimization algorithm, is used to solve this model. Meanwhile, taking seismic functional reliability as constraint, a network topology optimization model of water distribution network based on functional reliability is established. For this model, a simulated annealing algorithm is employed to get the optimal network. Two case studies indicate that above two algorithms is suitable for the seismic topology optimization of networks with different reliability constraints. Moreover, using the simulated annealing algorithm, three actual water distribution networks in Sichuan is researched and corresponding retrofitting and recovery schemes are given.