Improvement of Traction Calculations and Driving Modes of Traction Rolling Stock

Abstract

Purpose. The authors aim to improve the methodology of traction calculations and operation modes of traction rolling stock by applying optimization models and the law of mechanical energy conservation. Methodology. The article provides a flowchart of the algorithm for performing traction calculations. Based on the analysis of existing methods of influence of track circumstances on the train movement equations and formalization of the train as a material point, a model of concentric influence in the transition nodes of profiles steepness was proposed, a method of uneven loading of bogies on bumpy and mountain traffic profiles was introduced, expressions for dividing the train by a finite value of sets were proposed. Based on the law of mechanical energy conservation, a method was developed for determining the value of controlled specific forces necessary for dynamic solving the equation of train motion. The algorithm for searching for specific traction and braking forces is graphically displayed, and methods of recursive functions are used when the specific forces exceed the maximum permissible values of traction characteristics of locomotives. Findings. Differences in the methods of existing rules of traction calculations and the proposed methodology for the influence of the track profile are graphically displayed and mathematically calculated. The need to revise the existing calculation rules is mathematically proved, the values for a freight train weighing 609 tons on the locomotive depot service shoulder were set. The impossibility of obtaining such values by accurate methods based on the rules of traction calculations is analyzed, and the need to create new mode maps when revising weight standards is determined. Based on the research results, it is proposed to introduce mathematical models in the locomotive traction calculation rules. Originality. A method for improving traction calculations based on revaluation of the influence of the track profile on rolling stock is proposed. A methodology for modulating the operation of traction rolling stock is introduced and mathematical methods for finding the specific values of the required controlled forces in traction, run-out and braking modes based on train traffic schedules are proposed. Practical value. The results of the research will improve the accuracy of calculations, allow for energy-efficient revision and development of regime maps of train management, help reduce the cost of train traction and search for hidden opportunities to improve the carrying capacity of existing railway lines, and also contribute to improving the efficiency of the country's railway comple

Keywords

• traction calculations
• track profile influence
• specific forces
• mathematical modeling
• traction rolling stock
• the law of mechanical energy conservation