A Subway Train Timetable Optimization Approach Based on Energy-Efficient Operation Strategy
A Subway Train Timetable Optimization Approach Based on Energy-Efficient Operation Strategy
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DOI：
10.1109/tits.2013.2244885
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发表时间：
2012-04
影响因子：
8.5
通讯作者：
S. Su;Xiang Li;T. Tang;Ziyou Gao
中科院分区：
文献类型：
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作者：
S. Su;Xiang Li;T. Tang;Ziyou Gao
在能源价格上涨和环境问题日益突出的背景下，列车节能运行技术作为降低运行成本和能耗的有效手段之一，越来越受到人们的重视。一般来说，节能运行技术包括两个层面，分别优化列车时刻表和连续站间的速度分布。为了获得更好的性能，本文提出对综合时刻表进行优化，包括时刻表和速度剖面。首先，我们提供了一个解析公式来计算每段固定行程时间下的最优速度曲线。其次，设计了一种将总行程时间分配到不同路段的数值算法，并证明了该分配算法的最优性。在此基础上，对该算法进行了扩展，生成了综合时刻表。最后，以北京亦庄地铁运营数据为例，给出了数值算例。仿真结果表明，整条线路能耗降低14.5%。求解最优解的计算时间为0.15 s，表明该算法速度快，可用于列车自动运行（ATO）系统的实时控制。
Given rising energy prices and environmental concerns, train energy-efficient operation techniques are paid more attention as one of the effective methods to reduce operation costs and energy consumption. Generally speaking, the energy-efficient operation technique includes two levels, which optimize the timetable and the speed profiles among successive stations, respectively. To achieve better performance, this paper proposes to optimize the integrated timetable, which includes both the timetable and the speed profiles. First, we provide an analytical formulation to calculate the optimal speed profile with fixed trip time for each section. Second, we design a numerical algorithm to distribute the total trip time among different sections and prove the optimality of the distribution algorithm. Furthermore, we extend the algorithm to generate the integrated timetable. Finally, we present some numerical examples based on the operation data from the Beijing Yizhuang subway line. The simulation results show that energy reduction for the entire route is 14.5%. The computation time for finding the optimal solution is 0.15 s, which implies that the algorithm is fast enough to be used in the automatic train operation (ATO) system for real-time control.