### Abstract

Energy-efficient train driving can lead to a significant reduction in both CO2 emissions and energy consumption. A lot of research has been done on the topic of energy-efficient train control that minimizes total traction energy consumption. Furthermore, the running time supplements in the timetable determine the possibilities for energy-efficient train driving. However, research on the distribution of these supplements in order to maximize the potential for energy-efficient train driving is limited. This paper considers the multiple-section train trajectory optimization problem, which aims at finding the optimal distribution of running time supplements over multiple stops for a single train in order to maximize the potential for energy-efficient train driving. In addition, we compare two different methods to compute the energy-efficient train control: an indirect solution method and a direct solution method. We applied both methods to a Dutch case study for an Intercity train between the stations Utrecht Central and Arnhem Central. The results indicate that the optimal running time supplement distribution means that the cruising speed in each section is the same. Furthermore, the shorter the distance between stops, the larger the relative running time supplement. The indirect solution method generates results very quickly compared to the direct solution method and can be used for real-time control. The direct solution method is able to provide direct feedback on the necessary optimality conditions and does not require a specialized code to generate the optimal speed journey profile, therefore, it is useful for exploring new variants of the optimal control problem.

Original language | English |
---|---|

Title of host publication | Proceedings of the 8th International Conference on Railway Operations Modelling and Analysis |

Subtitle of host publication | Rail Norrköping 2019 |

Editors | Anders Peterson, Martin Joborn, Markus Bohlin |

Pages | 1496-1514 |

Number of pages | 19 |

Publication status | Published - 2019 |

Event | Rail Norrköping 2019: The 8th International Conference on Railway Operations Modelling and Analysis - Linköping University, Norrköping, Sweden Duration: 17 Jun 2019 → 20 Jun 2019 https://www.railnorrkoping2019.org/ |

### Conference

Conference | Rail Norrköping 2019: The 8th International Conference on Railway Operations Modelling and Analysis |
---|---|

Abbreviated title | ICROMA |

Country | Sweden |

City | Norrköping |

Period | 17/06/19 → 20/06/19 |

Internet address |

### Keywords

- Running time supplement distribution
- energy-efficient train control
- optimal control

## Fingerprint Dive into the research topics of 'Optimal Running Time Supplement Distribution For Energy-Efficient Train Control'. Together they form a unique fingerprint.

## Cite this

Scheepmaker, G., Pudney, P. J., Albrecht, A. R., Goverde, R., & Howlett, P. G. (2019). Optimal Running Time Supplement Distribution For Energy-Efficient Train Control. In A. Peterson, M. Joborn, & M. Bohlin (Eds.),

*Proceedings of the 8th International Conference on Railway Operations Modelling and Analysis: Rail Norrköping 2019*(pp. 1496-1514)