Methods of calculation line optimum travel of trains with consideration of longitudinal dynamic efforts

Abstract

The paper examines the main provisions of the methods used for optimization of station-to-station travel time taken (according to the criteria of minimum fuel consumption for haulage) for freight long train timing with consideration of longitudinal dynamic efforts. A hybrid mathematical model of long train travel is developed, where in one case of travel the train is considered as a flexible non-extensible line with a variable running weight, in other cases the train is considered as a system of weights connected by nonlinear deformable elements with a consideration of gap clearance in a draft. The model allows essentially reducing the time of solving the problem. The problem of selecting an optimum mode of train operation with consideration of longitudinal dynamic efforts and use of method of dynamic programming in a discrete form was set.

Keywords

• long and heavy trains
• fuel and energy resources
• performance charts
• traction mode
• longitudinal dynamic efforts
• mathematical modeling