摘要
[目的]随着线网规模不断扩张,城市轨道交通系统带来的巨大电能消耗问题不容忽视。列车运行图是影响城市轨道交通系统牵引能耗的重要因素,为降低系统牵引能耗,须对节能列车运行图进行研究。[方法]基于区间运行时间与列车牵引能耗负相关关系、再生制动能利用原理,提出了寻求净牵引能耗最小化的节能列车运行图两阶段优化方法。第一阶段,基于ATS(列车自动监控)系统中预存的多运行等级信息,建立了以列车周转牵引能耗最小为目标的列车运行图标尺优化模型,实现了合理分配区间运行时间。第二阶段,以发车间隔为决策变量构建了混合整数非线性规划模型,实现了同一车站附近牵引制动列车重叠时间最大化,并进一步将模型处理为便于求解的线性化形式。选取我国某实际地铁线路进行案例分析,调用商业求解器GUROBI对模型进行求解。[结果及结论]第一阶段优化在列车周转时间不变的前提下,将列车周转牵引能耗从650.30 kWh降至593.55 kWh,降幅为8.73%;第二阶段优化进一步将牵引制动重叠时间从1005 s提升至1710 s,增幅为70.10%。所构建方法实现了列车周转牵引能耗、再生制动能利用率的双重优化,提升了节能效果。
[Objective]With the continuous expansion of line network scale,the significant electricity consumption issue caused by urban rail transit system cannot be ignored.Train diagram is a crucial factor influencing the traction energy consumption of the system.It is necessary to carry out a research on energy-oriented train diagram to reduce the system traction energy consumption.[Method]Based on the negative correlation between inter-section running time and train traction energy consumption,and the principle of regenerative braking energy utilization,a two-stage optimization method for energyoriented diagram is proposed to minimize net traction energy consumption.In the first stage,based on the pre-stored multioperation level information in the ATS(automatic train supervision)system,a diagram scaling optimization model is established to minimize the turnaround traction energy consumption,thus achieving the effective allocation of train inter-section running time.In the second stage,a mixed-integer nonlinear programming model is constructed with train headways as the decision variables,aiming to maximize the overlap time of traction and braking trains near the same station.The model is then further processed into a linearized form for easier solution.A case study is conducted using an actual metro line in China,and the commercial solver GUROBI is used to solve this model.[Result&Conclusion]The first stage optimization reduces the train turnaround traction energy consumption from 650.30 kWh to 593.55 kWh,achieving a reduction of 8.73%,while keeping the total train turnaround time unchanged.The second stage optimization further increases the overlap time of traction and braking trains from 1005 seconds to 1710 seconds,representing an increase of 70.10%.The proposed method achieves a dual optimization of both train turnaround traction energy consumption and regenerative braking energy utilization rate,thereby enhancing the energy-oriented performance.
作者
李恩龙
李晓明
张伯男
赵鹏
姚向明
LI Enlong;LI Xiaoming;ZHANG Bonan;ZHAO Peng;YAO Xiangming(CRRC Changchun Railway Vehicles Co.,Ltd.,130062,Changchun,China;School of Traffic and Transportation,Beijing Jiaotong University,100044,Beijing,China)
出处
《城市轨道交通研究》
北大核心
2025年第12期155-160,共6页
Urban Mass Transit
基金
国家自然科学基金项目(52202379、52372299)
中央高校基本科研业务费项目(2024YJS094)。
关键词
城市轨道交通
列车
节能
列车运行图
两阶段优化
urban rail transit
train
energy-oriented
train diagram
two-stage optimization
