DEVELOPMENT OF THE ALGORITHMS FORMATION OF ENERGY- OPTIMIZED TRAINS TRAFFIC MODES

M. G. Prytula; O. A. Pasechnyk

doi:10.15802/stp2018/154641

Authors

M. G. Prytula Center of Mathematical Modelling NASU, Ukraine https://orcid.org/0000-0001-9259-4114
O. A. Pasechnyk SE «Design and Development Bureau of Automation of Control Systems in the Railway Transport of Ukraine», Ukraine https://orcid.org/0000-0001-7303-0145

DOI:

https://doi.org/10.15802/stp2018/154641

Keywords:

traction–energy calculations, optimal mode, mathematical support, mathematical model of train, identification of model parameters, direct and inverse problems

Abstract

Purpose. The paper involves the development of algorithmic support for simulation and optimization of train traffic modes. Methodology. To describe the process of the train movement in spatial coordinates with the distributed mass along the trajectory of motion, a system model is proposed. The model takes into account traction and support parameters and their changes depending on external and internal factors. For a numerical integration of a system model, a finite-difference method is used. In addition, iterative procedures are developed to meet the boundary conditions, the formation of a sequence of traction, braking and idling modes with appropriate parameters to satisfy the criterion of optimality of traffic and technical limitations with sufficient accuracy. The criterion of optimality includes fuel and energy resources, the frequency of changes in the modes of work of traction means (significantly affect the wear of drives), cost rates, etc. Findings. The developed algorithmic, software and information support provided: calculation of driving modes of arbitrary, including standard ones for formation of traffic schedules, calculation of inter-station and station intervals, and research of influence of extreme parameters of trains on their modes of operation. The system provides for the adaptation of the parameters of the train model based on the results of experimental trips. Originality. The paper proposes the task of calculating train driving modes as a problem of optimal control and proposes a quick method for its solution. This ensured the automation of the process of solving a large set of direct and inverse modes with different optimality criteria. Practical value. The proposed approach to the formulation and solution of tasks of modeling and optimization of train driving modes was tested in the process of calculating the main components for the formation of traffic schedules, the selection of optimal parameters for the reconstruction of the roadbed for high-speed and new types of trains.

Author Biographies

M. G. Prytula, Center of Mathematical Modelling NASU

Center of Mathematical Modelling NASU, Dudaev St., 15, Lviv, Ukraine, tel. +38 (032) 261 18 85, e-mail myroslav.prytula@gmail.com

O. A. Pasechnyk, SE «Design and Development Bureau of Automation of Control Systems in the Railway Transport of Ukraine»

SE «Design and Development Bureau of Automation of Control Systems in the Railway Transport of Ukraine», Zhylianska St., 97, Kyiv, Ukraine, 01135, tel. +38 (044) 226 24 82, e-mail sasha1101@ukr.net

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