面向节能的城轨列车区间运行时分优化研究

Optimization of urban rail transit segment running time based on energy saving

从列车运行图编制的基础参数——区间运行时分出发,在总运行时分限制下,重点探讨列车在其途经的各个区间上合理的最大运行速度和运行时分。以列车运动方程和运行时分等为约束,建立路径上各区间的列车运行时分和牵引能耗同步优化的非线性多目标优化模型,在将列车区间最大运行速度离散化的基础上,利用遗传算法设计了模型的求解方法。以北京地铁2号线的5个车站、4个区间为背景设计算例,验证模型和算法的有效性,研究结果表明:在总运行时分的可变范围内,优化的区间最大运行速度和运行时分具有明显的节能效果。

Based on the basic parameters of train timetabling-segment running time, this paper mainly discussed the reasonable maximum operating speed and segment running time on each section of train passing by under the total travel time limit. Based on the train movement equation and segment running time constraints, a nonlinear multi-objective optimization model was established for the simultaneous optimization of train segment running time and traction energy consumption. A genetic algorithm was designed to resolve the model on the basis of discretizing the train maximum operating speed. Taking Beijing Metro Line 2 as an example, the simulation calculation was carried out based on the data from five stations and four sections to verify the effectiveness of the model and algorithm. The results show that： within the range of segment running time, it can achieve obvious energy saving effect by optimizing the interval maximum operating speed.