考虑再生制动能利用的城市轨道交通列车节能运行优化方法研究
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摘要
对列车运行过程的优化是实现城市轨道系统交通节能的重要途径之一。列车节能运行优化主要包括两个层面的问题:一是单列车站间运行策略优化;二是多列车运行协调的时刻表优化。从上述角度出发,分别建立以能耗最低为目标的单列车站间运行优化模型和以再生制动能利用最大为目标的多列车运行时刻表优化模型,设计相应算法进行求解,并提出将二者结合协同优化的方法。采用北京地铁某线路数据,验证所建模型适用性和优化效果,提出针对全线能耗最小的全局优化方案。
Optimization of the train operation process is an important approach to save energy for urban rail transit system.The optimization of train energy-saving operation mainly includes two aspects:the first is the optimization of operation strategy involving a single train between stations and the second is the schedule optimization through multi-trains operation coordination.From the above perspective,this study established a single train operational optimization model with minimum energy consumption as the goal,and a multi-train schedule optimization model with maximum regenerative braking energy utilization as the goal.Corresponding algorithms were designed to solve the problem.The optimization method of combining the two models was put forward.The case study where the data of a Beijing metro line were used verified the applicability and optimization effect of both the models.Moreover,aglobal optimization scheme to minimize the energy consumption of the whole line was put forward.
Optimization of the train operation process is an important approach to save energy for urban rail transit system.The optimization of train energy-saving operation mainly includes two aspects:the first is the optimization of operation strategy involving a single train between stations and the second is the schedule optimization through multi-trains operation coordination.From the above perspective,this study established a single train operational optimization model with minimum energy consumption as the goal,and a multi-train schedule optimization model with maximum regenerative braking energy utilization as the goal.Corresponding algorithms were designed to solve the problem.The optimization method of combining the two models was put forward.The case study where the data of a Beijing metro line were used verified the applicability and optimization effect of both the models.Moreover,aglobal optimization scheme to minimize the energy consumption of the whole line was put forward.
引文
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[17]唐海川,王青元,冯晓云.地铁列车追踪运行的节能控制与分析[J].铁道学报,2015,37(1):37-43.TANG Haichuan,WANG Qingyuan,FENG Xiaoyun.Energy Saving Control of Metro Train Tracking Operation[J].Journal of the China Railway Society,2015,37(1):37-43.
[2]GONZALEZ-GIL A,PALACIN R,BATTY P.Sustainable urban Rail Systems:Strategies and Technologies for Optimal Management of Regenerative Braking Energy[J].Energy Conversion&Management,2013,75(5):374-388.
[3]MIYAMOTO S,YASUNOBU S,IHARA H.Predictive Fuzzy Control and Its Application to Automatic Train Operation System[J].Anal of Fuzzy Inf,1987:59-72.
[4]丁勇,毛保华,刘海东,等.定时约束条件下列车节能操纵的仿真算法研究[J].系统仿真学报,2004,16(10):2241-2244.DING Yong,MAO Baohua,LIU Haidong,et al.An Algorithm for Energy-efficient Train Operation Simulation with Fixed Running Time[J].Journal of System Simulation,2004,16(10):2241-2244.
[5]CHANG C S,SIM S S.Optimising Train Movements Through Coast Control using Genetic Algorithms[J].IEE Proceedings-Electric Power Applications,1997,144(1):65-73.
[6]WONG K K,HO T K.Coast Control for Mass Rapid Transit Railways with Searching Methods[J].IEE ProceedingsElectric Power Applications,2004,151(3):365-376.
[7]HOWLETT P G.An Optimal Strategy for the Control of a Train[J].Journal of the Australian Mathematical Society,1990,31(4):454-471.
[8]HOWLETT P G,PUDNEY P J,XUAN V.Local Energy Minimization in Optimal Train Control[J].Automatica,2009,45(11):2692-2698.
[9]KHMELNITSKY E.On an Optimal Control Problem of Train Operation[J].IEEE Transactions on Automatic Control,2000,45(7):1257-1266.
[10]BAI Y,HO T K,MAO B H,et al.Energy-efficient Locomotive Operation for Chinese Mainline Railways by Fuzzy Predictive Control[J].IEEE Transactions on Intelligent Transportation Systems,2014,15(3):938-948.
[11]KE B R,CHEN M C,LIN C L.Block-layout Design Using MAX-MIN Ant System for Saving Energy on Mass Rapid Transit Systems[J].IEEE Transactions on Intelligent Transportation Systems,2009,10(2):226-235.
[12]KE B R,LIN C L,YANG C C.Optimisation of Train Energy-efficient Operation for Mass Rapid Transit Systems[J].IET Intelligent Transport Systems,2012,6(1):58-66.
[13]贺德强,周继续,李宇轩,等.基于矩阵离散法的地铁列车节能优化操纵方法及实现[J].铁道学报,2015,37(7):9-14.HE Deqiang,ZHOU Jixu,LI Yuxuan,et al.Energy Saving Optimization Operation Method for Metro Train Based on Matrix Discrete Method on Its Implementation[J].Journal of the China Railway Society,2015,37(7):9-14.
[14]KIM K M,OH S M,HAN M.A Mathematical Approach for Reducing the Maximum Traction Energy:The Case of Korean MRT Trains[C]//In Proceedings of the International Multi Conference of Engineers and Computer Scientists,2010:2169-2173.
[15]SU S,LI X,TANG T,et al.A Subway Train Timetable Optimization Approach Based on Energy-efficient Operation Strategy[J].IEEE Transactions on Intelligent Transportation Systems,2013,14(2):883-893.
[16]LI X,HONG K L.An Energy-efficient Scheduling and Speed Control Approach for Metro Rail Operations[J].Transportation Research Part B Methodological,2014,64(4):73-89.
[17]唐海川,王青元,冯晓云.地铁列车追踪运行的节能控制与分析[J].铁道学报,2015,37(1):37-43.TANG Haichuan,WANG Qingyuan,FENG Xiaoyun.Energy Saving Control of Metro Train Tracking Operation[J].Journal of the China Railway Society,2015,37(1):37-43.