面向列车节能控制的时刻表优化
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摘要
列车牵引运行能耗是铁路运输中的主要能源消耗,直接由列车运行操作决定。时刻表是列车运行操作的依据,与运行控制密切相关。结合时刻表优化与节能控制的相关因素,以列车能耗值和列车时刻表稳定性综合最优为目标,在满足列车安全追踪间隔等约束的条件下,制定面向列车节能控制的时刻表优化模型,针对模型特点设计一种采用迭代寻优的富余时间分配求解算法,实现时刻表的优化过程。实验结果表明,该算法在保证列车时刻表稳定性在一定范围的前提下,通过调整列车在中间车站的到发时间,可以减少列车在站间运行的能耗,节约能耗占总能耗的4.04%。
Train traction energy consumption is the main energy consumption in railway transportation,which is directly decided by the train operation.The time table is the basis of the train operation,which is closely related with operation control.Combined with the relevant factors between the timetable optimization and the energy saving control,the paper took the train energy consumption value and the stability of train timetable as the comprehensive optimization goal.Under the constrain conditions of satisfying the train safety tracking interval,a timetable optimization model for train energy-saving control was formulated.According to the characteristics of the model,a new algorithm using iterative optimization for solving the optimal time distribution was designed,which realized the optimization process of the timetable.The reduced energy consumption accords for 4.04% of the total energy consumption after adjusting the arrival and departure time of the train at the intermediate station under the condition of ensuring the stability of the train timetable within a certain range.
Train traction energy consumption is the main energy consumption in railway transportation,which is directly decided by the train operation.The time table is the basis of the train operation,which is closely related with operation control.Combined with the relevant factors between the timetable optimization and the energy saving control,the paper took the train energy consumption value and the stability of train timetable as the comprehensive optimization goal.Under the constrain conditions of satisfying the train safety tracking interval,a timetable optimization model for train energy-saving control was formulated.According to the characteristics of the model,a new algorithm using iterative optimization for solving the optimal time distribution was designed,which realized the optimization process of the timetable.The reduced energy consumption accords for 4.04% of the total energy consumption after adjusting the arrival and departure time of the train at the intermediate station under the condition of ensuring the stability of the train timetable within a certain range.
引文
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[2]WONG K K,HO T K.Dwell Time and Run-time Control for DC Mass Rapid Transit Railways[J].IET Electric Power Applications,2007,1(6):956-966.
[3]LI X,HONG K L.An Energy-efficient Scheduling and Speed Control Approach for Metro Rail Operations[J].Transportation Research Part B,2014,64(4):73-89.
[4]LI X,HONG K L.Energy Minimization in Dynamic Train Scheduling and Control for Metro Rail Operations[J].Transportation Research Part B,2014,70:269-284.
[5]YANG X,CHEN A,NING B,et al.A Stochastic Model for the Integrated Optimization on Metro Timetable and Speed Profile with Uncertain Train Mass[J].Transportation Research Part B,2016,91:424-445.
[6]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.
[7]王涛,陈峰,张琦.高速铁路行车调度节能运行图编制方法研究[J].铁路计算机应用,2014,23(12):5-8.WANG Tao,CHEN Feng,ZHANG Qi.Method of Energysaving Operation Diagram Compiling for Train Operation Dispatch of High-speed Railway[J].Railway Computer Application,2014,23(12):5-8.
[8]杨杰,贾利民,卢少锋,等.电力牵引货运列车节能运行研究(一):目标速度曲线优化[J].铁道学报,2016,38(4):22-31.YANG Jie,JIA Limin,LU Shaofeng,et al.Energy-efficient Operation of Electric Freight Trains-PartⅠ:Speed Profile Optimization[J].Journal of the China Railway Society,2016,38(4):22-31.
[9]HOWLETT P G,PUDNEY P J.Energy-efficient Train Control[M].London:Springer,1995:65-130.
[10]ROSS I M.A Primer on Pontryagin’s Principle in Optimal Control[M].Collegiate Publishers,2009.
[11]宿帅,唐涛.城市轨道交通ATO的节能优化研究[J].铁道学报,2014,36(12):50-55.SU Shuai,TANG Tao.Optimal Train Control for ATOSystem[J].Journal of the China Railway Society,2014,36(12):50-55.
[12]宋锴,牛会想.回转质量系数对高速列车牵引电算的影响[J].铁道机车车辆,2010,30(3):56-59.SONG Kai,NIU Huixiang.Influence of Rotary Mass Coefficient in High-speed Train Traction Calculation[J].Railway Locomotive&Car,2010,30(3):56-59.