Construction of an Optimal Motion Model for a High-Speed Electric Train Based on Precomputed Transitions and Dynamic Programming

Objective: to construct an optimal motion model for a high-speed electric train along a given line section, ensuring coordinated compliance with the timetable, speed limits and stopping conditions on the basis of a developed automatic train operation model, precomputed motion transition characteristics and a recursive dynamic programming procedure. Methods: the study employs a developed automatic train operation model of a high-speed electric train, a segment-based representation of the line section, precomputation of motion transition characteristics and the dynamic programming method. The proposed approach makes it possible to separate the stage of preliminary formation of motion transition characteristics from the stage of optimization-based decision making. For each track segment and each admissible set of input states, the passage results are determined in advance in the form of running time and exit speed, after which stepby- step selection of speed-control restrictions is performed using the Bellman recursive relation. Results: an algorithm for constructing an optimal motion model of a high-speed electric train has been developed, it ensures coordinated timetable compliance while preserving the operational automatic train operation model as the computational basis. It is shown that the use of precomputed transitions makes it possible to connect a complex longitudinal motion model with an optimization-based decision-making procedure and to obtain a computational model suitable for further application within automatic train operation algorithms. Simulation results are presented that confirm a small discrepancy between the solution obtained by the dynamic programming method and direct motion simulation performed on the automatic train operation model. Practical importance: the proposed approach can be used in the development of automatic train operation algorithms for high-speed electric trains aimed at timetable compliance, improving motion control stability, and forming a substantiated train motion model for a given line section.