城市轨道交通列车追踪间隔与牵引能耗优化

针对城市轨道交通高峰小时列车密集追踪运行的特点，将降低列车牵引能耗和提升线路通过能力同时作为优化目标，研究列车运行操纵优化问题.给出移动闭塞条件下列车牵引能耗和最小追踪间隔的计算方式，考虑列车安全、正点运行约束，构建双目标优化模型. 结合 ε -约束法，提出一种基于动态规划的搜索算法求解模型.以亦庄线为优化算例，求解得到一组列车最优操纵Pareto解，体现两优化目标之间的均衡关系：列车进站过程采用两次制动操纵策略可有效压缩最小追踪间隔，为弥补两次制动过程额外消耗的运行时间，列车需付出更多的牵引能耗提升进站以前的运行速度以满足正点运行约束.

Optimization of Train Headway and Traction Energy Consumption in Urban Rail Transit

Focusing on the characteristics of dense train tracking operation during the peak hour in urban rail transit, this paper takes both reducing traction energy consumption and improving line capacity as objectives in the train driving strategy optimization. The calculation method of traction energy consumption and minimum headway is given under the moving block system. Considering the constraint of safe running and punctual arriving, the twoobjective optimization model is constructed. A dynamic programming based approach combined with ε -constraint method is proposed to solve the model. A case study of Yizhuang urban rail line was executed and a set of Pareto solutions were achieved which reflecting the trade-off between those two objectives. The results showed that the multi-step braking strategy during the phase of entering a station can compress the minimum headway effectively. To reduce the increased running time because of the multi- step braking strategy, trains need to improve their velocity before the phase of entering a station to satisfy the constraint of punctual arriving, which consumes more traction energy.