There are infinitely many speed profiles that a train could follow between one station and the next, even if the total journey duration is fixed. Finding the most energy-efficient way to drive a train between stops can be formulated, and solved, as an optimal control problem. The motion of the train is described by a pair of differential equations, with parameters including the tractive and braking effort curves of the train, resistance forces, track gradient forces and track curvature forces. Speed limits and timing requirements impose constraints on the motion. The optimal driving strategy has only five driving modes: power, hold, coast, regen and brake. Furthermore, the necessary conditions for an optimal control can be used to determine the optimal sequence of control modes for a journey, and when the control should be switched between modes. Optimal journey profiles can be calculated quickly enough to provide driving advice that adapts in real-time to changing conditions on a rail network.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Energy-Efficient Driving for a Single Train


    Additional title:

    Lect.Notes Mobility


    Contributors:


    Publication date :

    2023-07-04


    Size :

    27 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    Energy-Efficient Train Driving Considering Energy Storage Systems

    Sánchez-Contreras, Gonzalo / Fernández-Rodríguez, Adrián / Fernández-Cardador, Antonio et al. | Springer Verlag | 2023


    Realistic optimal policies for energy-efficient train driving

    Grabocka, Josif / Dalkalitsis, Alexandros / Lois, Athanasios et al. | IEEE | 2014


    A DQN-based approach for energy-efficient train driving control

    Shuai SU / Qingyang ZHU / Qinglai WEI et al. | DOAJ | 2020

    Free access


    SELF-DRIVING SINGLE-CAR TRAIN SYSTEM

    HEATON JEREMIAH | European Patent Office | 2021

    Free access