基于目标速度追踪的城轨列车节能优化算法

为了实现城市轨道交通的节能运行，提出基于目标速度追踪的城轨列车节能优化算法。首先构建列车均质棒动力学模型和节能优化目标函数，利用极大值原理推导出列车节能运行工况。然后重点分析列车运行时间和运行方式对能耗的影响。在对典型方案仿真分析的基础上，提出通过陡坡时的基于等效平均速度法的运行策略，以及目标速度改变时合理利用惰行的运行策略。最后通过目标速度追踪的方法得到速度曲线，实现城轨列车的节能运行。利用上海地铁3号线的数据对本文提出的算法进行验证，结果表明相较实际运行情况，本文提出的算法可以降低25.39%的运行能耗，同时求解得到的速度曲线更加平缓，更适合城市轨道交通的实际运行情况。

Energy-saving Optimization Algorithm of Urban Rail Train Based on Target Speed Tracking

To realize the energy-saving operation of urban rail transit, energy-saving optimization algorithms for urban rail trains based on target speed tracking are proposed. First, a dynamic model of the homogeneous bar of the train and the objective function of energy-saving optimization were constructed, and the energy-saving operating conditions of the train were derived using the maxima principle. Subsequently, the impact of the operating time and mode on the operating energy consumption was analyzed. Based on a simulation analysis of typical schemes, an operational strategy that utilizes the equivalent average velocity method for steep inclines and rational idling during target speed adjustments are proposed. Finally, the speed curve was solved using the target speed-tracking method, and the energy-saving operation of the urban rail trains was realized. Validate the algorithm proposed in this article using data from the Shanghai Metro Line 3. Furthermore, the results show that the algorithm proposed in this study can reduce the operating energy consumption by 25.39% when compared to the actual operation situation. Simultaneously, the speed curve obtained via solving was gentler, making it more suitable for the actual operation of urban rail transit.