摘要
折返站作为影响线路发车上限的重要因素,影响着整条线路的运营效率,也是能量浪费较为严重的地方。因此,有必要在兼顾线路运营效率的前提下减少列车折返运行的能耗。为此,通过提出基于再生制动能量利用的列车折返问题对列车的节能运营进行研究。通过建立底层网络图,构建以列车折返为基础考虑再生制动能量利用的能耗优化模型。为提高模型的求解能力,引入辅助变量将其转变为线性化模型。以上海地铁某折返站作为实例对象,借助Gurobi进行求解并对能耗等数据进行分析,证实模型有效。由该模型得到的折返时刻图在保证折返能力的同时,列车能耗与原始折返方式相比降低了5.74%,为考虑再生制动能量利用的列车折返运营方式提供一定的理论支撑与依据。
As an important factor of the line departure limit,the turn-back station affects the operation efficiency of the whole line and also wastes a lot of energy.Therefore,it is necessary to reduce the energy consumption of train turning back operation while taking into account the efficiency of line operation.In this regard,this paper studied the energy-saving operation of trains by putting forward the problem of train turn-back based on regenerative braking energy utilization.By establishing the underlying network diagram,the paper built an energy consumption optimization model considering the utilization of regenerative braking energy based on train turn-back.To improve the solving ability of the model,auxiliary variables were introduced to transform it into a linearized model.With a turn-back station of Shanghai Metro as an example,Gurobi was adopted to solve the model and analyze the data of energy consumption,which proved the effectiveness of the model.Under the turn-back timetable obtained by the model,the train energy consumption is reduced by 5.74%compared with the original turn-back mode while ensuring the turn-back ability.The model provides a certain theoretical support and basis for the train turn-back operation mode considering the utilization of regenerative braking energy.
作者
张煜睿
潘寒川
刘志钢
ZHANG Yurui;PAN Hanchuan;LIU Zhigang(School of Urban Rail Transit,Shanghai University of Engineering Science,Shanghai 201600,China)
出处
《铁道运输与经济》
北大核心
2024年第4期172-181,共10页
Railway Transport and Economy
基金
国家自然科学基金项目(72371154,52072235)。
关键词
城市轨道交通
列车折返
再生制动能量利用
底层网络
优化模型
Urban Rail Transit
Train Turn-back
Regenerative Braking Energy Utilization
Underlying Network
Optimization Model
