再生制动条件下地铁列车运行图的节能优化

Energy Saving Optimization of Metro Train Working Diagram Under Regenerative Braking

提高再生制动电能的利用率,可提升地铁系统的节能效果和降低供电接触网的电压波动。文中通过微调发车间隔和停站时间,在不改变列车开行方案的基础上,以最大化同一供电臂下列车到站的“产能”时间段和列车发车的“用能”时间段的重叠区间为目标,以保证发车间隔和停站时间均不超过轨道交通正常运营的可接受范围为约束,构建了地铁列车运行图优化模型;采用经典的时空局域滚动优化方法和商业优化软件对模型进行求解,并通过实际的地铁列车运行图进行算例验证。结果表明,文中提出的优化模型可将地铁列车的平均再生制动电能的利用率提高至15%以上,有效地对地铁列车运行图进行了节能优化。

Increasing the utilization rate of regenerative braking power can effectively improve the energy-saving effect of metro system and reduce the catenary voltage fluctuation.In this paper,by fine-tuning the departure interval and stop time,the optimization model of metro train working diagram was constructed on the basis of not changing the train operation scheme.The goal is to maximize the overlap between the“generated energy”period of train arrival and the“used energy”period of train departure under the same power section,and to ensure that the departure interval and stop time do not exceed the acceptable range of normal operation of rail transit.The model was solved by using the classical time-space local rolling optimization method and commercial optimization software and verified by an actual metro train working diagram.The results show that the average utilization rate of regenerative braking energy of metro train can be increased to more than 15%,and the metro train operation diagram for energy saving is effectively optimized.