Train trajectory optimization of opposite trains on single-Track railway lines

Wang, P.; Goverde, Rob M.P.

Train trajectory optimization of opposite trains on single-Track railway lines

Conference paper (2016)

Authors

P. Wang , Southwest Jiaotong University

Rob M.P. Goverde

Train trajectory optimization Energy-efficient timetable Multiple-phase optimization model Single-Track lines

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Published Date

11-10-2016

Language

English

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Abstract

This paper studies the train trajectory optimization problem of two opposite trains on single-Track railway lines. A two-Train trajectory optimization problem is formulated using the multiple-phase optimal control model, where the timetable as well as train performance parameters, track gradients, curves, speed limits and energy-saving requirements are taken into account. Multiple-Tracks at stations are reflected in the model, so that trains may use different tracks at stations. A meeting constraint is developed to avoid head-on conflicts between opposite trains on open tracks. The trajectories of the two opposite trains are optimized simultaneously by a pseudospectral method with minimizing energy consumption as the objective function. In addition, an optimization method is developed for energy-efficient time-distance paths for two opposite trains based on the two-Train trajectory optimization model. The method is applied in case studies of two opposite trains running on a Dutch single-Track railway corridor. The results show that our method is able to produce optimal trajectories and time-distance paths for both trains within a short time.