地铁列车协同操纵的节能优化方法

Energy-Saving Optimization Approach for Cooperative Control of Metro Train

为降低地铁系统总运行能耗,考虑再生制动能量(再生能)的最大化利用,提出一种时刻表约束下的地铁列车协同操纵优化方法。首先,通过一种运行图时域等效切分规则,缩小优化的时间范围,并结合供电区段未利用再生能的时间分布特征,选定各列车应降低运行能耗的运行区间,得到列车区间操纵策略优化的一系列子问题;其次,针对每一个子问题,构建外部功率确定下的单车节能操纵优化模型,并利用一种在非均匀离散三维状态空间内寻优的动态规划算法对模型进行精确求解;最后,更新供电区段内列车操纵策略和列车群的总功率,从而实现整体迭代协同优化。以北京亦庄线某供电区段为例,验证所提出协同操纵优化方法的有效性。结果表明:与优化前总牵引能耗最小时的运行方式相比,该方法可降低4.01%的总运行能耗。

To reduce the total operation energy consumption of metro system,an optimization approach for cooperative control of metro trains under timetable constraints is proposed considering the maximum utilization of regenerative braking energy.Firstly,through a time-domain equivalent segmentation rule of working diagram,the optimization range on time is narrowed.Combined with the time distribution characteristics of the unused regenerative energy in electricity supply intervals,the inter-stations for each train in which the operation energy consumption should be reduced are selected to obtain a series of sub-problems for optimizing the train control strategy in the inter-station.Then,for each sub-problem,an optimal energy-saving control model for single train with explicit external power is established,and a dynamic programming algorithm for optimization in a non-uniform discrete three-dimensional state space is used to precisely solve the model.Finally,both the train control strategy and the total power of the train group in the electricity supply interval are updated,to achieve the overall cooperative optimization by iteration.An electricity supply interval of Beijing Yizhuang Line is served as an example to verify the effectiveness of the proposed optimization approach for cooperative control.The results show that the proposed approach can reduce the total operation energy consumption by 4.01%,compared with the operation mode with minimum total traction energy consumption before optimization.