The seismic reliability of a water supply network is the service level of the network underpossible seismic intensities, which is mostly estimated using Monte Carlo simulations to generate alarge number of seismic damage samples, and this method will bring great workload and ultra-hightime cost for seismic reliability assessment of large and complex networks. In order to overcome theseproblems, not only a multi-burst pipe pressure drop calculation model is proposed, but also a scenarioreduction method is introduced to improve the calculation efficiency. Firstly, the multi-burst pipe pressure drop model is used to calculate the nodal water pressure under the seismic damage scenario. Secondly, the scenario merging and classification of nodal water pressure in seismic damage is performedusing the cluster averaging method in system clustering. Then, k-medoids clustering is used to selectthe center point of each cluster as a typical scenario. Finally, the node reliability index and system reliability index are determined by the typical scenarios. The proposed algorithm is applied to a practical pipe network and compared with the results of traditional Monte Carlo simulation. The results showthat the multi-burst pipe pressure drop model based on linear estimation is reasonable; the reliability assessment based on the scenario reduction method is feasible; and increasing the number of typical scenarios can reduce the assessment error. Therefore, the proposed algorithm can ensure the accuracyof the results while improving the computational efficiency.
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李杰.生命线工程抗震:基础理论与应用[M].北京:科学出版社,2005.Li J.Lifeline earthquake engineering:basic theory andapplication [M].Beijing:Science Press,2005.(in Chi‐nese)
王威,候本伟,田杰,等.城市供水管网抗震安全性模糊-随机模拟评价[J].土木工程学报,2013,46(增 2):278-281.Wang W,Hou B W,Tian J,et al.Assessment methodfor seismic safety of urban water distribution system us‐ing stochastic simulation and triangular fuzzy numbers[J].China Civil EngineeringJournal,2013,46(Sup2):278-281(.in Chinese)
和丽荣,杜坤,宋志刚,等.城市供水管网抗震可靠性评估的随机模拟方法[J].土木建筑与环境工程,2018,40(2):62-69.He L R,Du K,Song Z G,et al.Stochastic simulationmethod for seismic reliability assessment of urban waterdistribution system[J].Journal of Civil and Environmen‐tal Engineering,2018,40(2):62-69(.in Chinese)
Feng Y,Ryan S M.Solution sensitivity-based scenarioreduction for stochastic unit commitment[J].Computa‐tional Management Science,2016,13:29-62.
邹云阳,杨莉.基于经典场景集的风光水虚拟电厂协同调度模型[J].电网技术,2015,39(7):1855-1859.Zou Y Y,Yang L.Synergetic dispatch models of awind/PV/hydro virtual power plant based on represen‐tative scenario set[J].Power System Technology,2015,39(7):1855-1859.(in Chinese)
Du E,Zhang N,Kang C,et al.Scenario map basedstochastic unit commitment[J].IEEE Transactions onPower Systems,2018,33(5):4694-4705.
Wang Y,Liu Y,Kirschen D S.Scenario reductionwith submodular optimization[J].IEEE Transactionson Power Systems,2016,32(3):2479-2480.
Shi Q,Li F,Kuruganti T,et al.Resilience-orientedDG siting and sizing considering stochastic scenario re‐duction[J].IEEE Transactions on Power Systems,2020,36(4):3715-3727.
Zeng Y,Li C,Wang H.Scenario-set-based economicdispatch of power system with wind power and energystorage system[J].IEEE Access,2020,8:109105-109119.
Faraji J,Hashemi‐Dezaki H,Ketabi A.Optimal proba‐bilistic scenario ‐ based operation and scheduling of pro‐sumer microgrids considering uncertainties of renewableenergy sources[J].Energy Science & Engineering,2020,8(11):3942-3960.
Memari M,Karimi A,Hashemi ‐ Dezaki H.Reliabilityevaluation of smart grid using various classic and meta‐heuristic clustering algorithms considering system uncer‐tainties[J].International Transactions on Electrical En‐ergy Systems,2021,31(6):e12902.
Javanbarg M B,Takada S.Seismic reliability assess‐ment of water supply systems[J].British CorrosionJournal,2013,25(2):108-114.
Isoyama R,Ishida E,Yune K,et al.Seismic damageestimation procedure for water supply pipelines[J].Wa‐ter Supply,2000,22(10):31-39.
Demetrios G,Eliades M K,Stelios V,et al.Polycar‐pou EpANET-MATLAB toolkit:an open-source soft‐ware for interfacing EPANET with MATLAB[C]∥14th International CCWI Conference Computing andControl for the Water Industry Conference.Amster‐dam,The Netherlands:[s.n.],2016:7-9.
宋珺.地震作用下埋地长距离输水管道动力特性研究[D].太原:太原理工大学,2005.Song J.The dynamic property study on buried long-dis‐tance water conveyance conduits under the action ofseismic waves[D].Taiyuan:Taiyuan University ofTechnology,2005(.in Chinese)
杜坤.供水管网水力模型校核与漏损定位研究[D].重庆:重庆大学,2014.Du K.Research on hydraulic model calibration and leak‐age location of water supply network [D].Chongqing:Chongqing University,2014.(in Chinese)