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In this paper the authors propose to consider the peculiarities of making mathematical models of rolling stock and its dynamic behavior when driving on irregular resilience railway line in the longitudinal direction. We present a qualitative and empirical analyzes of longitudinal resilience railway railway. In conclusion, given the conclusion, on the basis of its proposed further consideration of mathematical aspects of the above solutions of systems of differential equations of motion of the rolling stock on irregular resilience way.

The article presents a method of calculation of the thermal state of the pantograph head. The density of the suspension zigzag distribution, taking into account a number of assumptions, has replaced the contact wire position function in the plan. Results of calculating the temperature of the pantograph head at different width of the zigzag of the typical suspension, including zero, are presented. The influence of sinusoidal and tangential contact suspensions on the temperature distribution of the pantograph head is estimated.

The article presents the results of the research conducted by the authors, the purpose of which was to development a model for recognizing defects in axle caps of a wheel-motor block of a locomotive in order to implement automatic advance notification of management structures about the need for maintenance or repair operations to eliminate defects at an early stage of their occurrence. The research used the following interdisciplinary and mathematical methods: computer and mathematical modeling, methods of mathematical statistics, methods of the theory of artificial intelligence and parametric reliability. As a result of the research, a mathematical formalization of the model for recognizing one of the defects in the axle caps of the wheel-motor block of the locomotive - the groove (chipping) of the babbitt layer was obtained. With the help of the obtained model, it is possible to implement automatic recognition of defects, pre-failure states not only of axle caps, but also of other units of technical systems. The developed model can be used in monitoring systems, control, diagnostics of the technical condition of the locomotive fleet, in order to reduce downtime in repairs and forced costs for scheduled operations. The proposed model solves the range of problems described in the development concept of JSCo Russian Railways associated with the implementation of the actual repair system for the current technical condition of the locomotive, as well as with the digitalization of the company's advanced areas.

The article sets out the methodology of the study of a rigid mathematical model describing locomotive wheel and rail interaction, taking into account the hypothesis f. Carter. On the basis of the application of the theorem N.A. Tikhonova derived the differential equation for determining the rate of slippage of wheel pair on Rails. Determine the time dependence for the establishment of a process of kinematic slippage of wheel pair on Rails from the wheel speeds and locomotive, from inertial characteristics of trains and the wheel, as well as the coefficient of creep, annexed to the torque of wheel pair and the State of the surfaces of the Rails.

The subject of the study is the fuel utilization system of a diesel power plant as a diesel locomo-tive or other vehicle main lead, which is a complex technical system consisting of actual diesel in-ternal combustion engine, fuel lines and low pressure fuel processing and high pressure line includ-ing various elements of liquid fuels consumption dosing and control. The aim of our study was to analyze the system functioning, to determine the dynamic proper-ties and the nature of changes in the internal parameters of the system as a whole. To achieve the goal the system analysis methods were used. The processes of complex technical system operation were interpreted by means of the continuous linear stationary deterministic model of the list of others. For this particular model the body of mathematics developed on the basis of linear differential equations with constant coefficients is the most complete one. The chosen mathematical model was presented by us in the first stage in the form of a finite graph as a subgraph of obtained earlier generalized model which had both methodological and theoretical foundation. In accordance with the methodology of the systematic approach the graph model of the diesel power plant fuel utilization system operation was described in relation to major significant factors affecting the system parameters transformation dynamics. Given the complexity of the of fuel ignition and combustion mechanism located in the diesel engine cylinder, the use of the techniques of the modern automated control theory is adopted for numerical processes simulation with the system described in terms of the said theory. The criteria of efficiency, mechanical loads and thermal loads levels were chosen as the fuel utilization system internal state variables. Taking into account the Pareto principle the most important efficiency criterion components were chosen for the analysis; and the system of differential equations of the efficiency dynamics in the form of three balance equations was created. The factual description of the included equations allowed us to derive preliminary qualitative conclusions about the dynamic properties of the internal criteria: controllability, observability and stability of the fuel utilization system. The differential equations system parameters linearizing procedure and the introduction of small deviations allowed us to obtain the dynamic mathematical model of the fuel and air transfor-mation in the diesel engine heat cylinder. As the result of transformations we have obtained the equations presented in the form of the matrices, which allowed us to conclude that the process of the fuel and air transformation in the cylinder is controllable, the system is asymptotically stable, and the process is stochastic with the presence of perturbing parameters influenced by the engine's variable modes of operation. The further research areas have been suggested, and the practical results have been predicted: the creation of optimal (in terms of efficiency) control system with the technical solution in the form of the optimal controller (in relation to fuel consumption).

In the article the author presents a logical-linguistic model, providing a sufficient depth and completeness of diagnostics with fulfillment of all required testing instructions and standards. Diagnostic features for every required testing were determined in order to build the suggested model. The results of a diagnostic model development were applied and successfully tested on various types of electrical sections

Despite significant progress in the development of accounting systems, there is almost universal growth accounting losses of electricity and reduce its quality. Along with the introduction of modern energy efficient electrical problem efficiency of electric energy in the stationary energy sector can be achieved through the implementation of active-adaptive technologies for controlling the operation of compensating devices, controlled means of voltage control, switching and power equipment and diagnosis based on digital technology, including automatically maintain a minimum transmission losses when the load. Management of objects offered no traction electricity consumers based on adaptive technology and hardware-software optimization mode parameters in real time.

The article proposes a numerical-analytical method based on the boundary element method (Method of Boundary Elements Technology), which used to assess of change patterns of temperature fields in the working fluid in hydro-friction vibration damper telescopic view when the ambient temperature changes. This method takes into account the physico-mechanical properties of the working fluid and the effect of corrosion pouring temperature, ambient temperature, the speed of electric rolling stock and the working liquid filling height.

The article describes the general principles of the computational model of the traction power supply DC Railway to assess the potential energy recuperative braking, as well as ways of approbation the resulting model to determine its adequacy.

The article discusses methods in evaluating the current settings for turning on and off the second converter unit when introducing power backup systems for DC traction substations. The analysis of the advantages and disadvantages of existing methods. The algorithm for calculating the current settings. A comparative analysis of the operating currents of the automation of the converter unit is carried out on the example of traction substations of the current section of the West Siberian Railway.

The subject of the study is the theoretical and practical aspects of the application of optical technologies for non-contact measurements of geometric parameters of a wagon wheelset during operation and repair. The purpose of the study is to develop methods and technologies for monitoring geometric parameters of car parts using an optical linear scanner, as well as a method for processing the results of field tests of the results of the application of optical control technologies. The article analyzes the problems of application of standardized methods of technical condition monitoring using manual measuring and control tools in the context of the adopted technology of maintenance and operation of freight cars. As a result of the study, a review of the state of the issue of the use of optical control techniques on the railway was carried out, the strengths and weaknesses of various options for the implementation of measurement techniques were identified and a methodology and a computer program for automating the creation of a digital standard of the object under study (the profile of the longitudinal section of the rolling surface of the wheelset) were developed. Using a digital two-dimensional image of the shadow pattern of the wheel profile, the coordinates of the points of the contour line of the section of the volumetric wheel in the area of the rolling surface are calculated. To determine the coordinates of the envelope of the section, a step function is used, as close as possible to the chiaroscuro image of the wheel contour. After image processing, the result is output by the program in the form of a table with the calculated coordinates of the profile section and visualized using the wheel profile synthesized by coordinates in the program window. The accuracy of the technique used depends on the resolution of the image obtained by the linear scanner. The methodology and program can be used in the future for field tests of the designed equipment for dimensional control of car parts.

The article is devoted to improving the methodology for diagnosing the technical condition of an asynchronous traction electric motor of type 1TV2822, a cargo mainline electric locomotive of the 2ES10 "Granit" series. To diagnose the inter-turn isolation of the stator windings, a structural model of a closed asynchronous traction motor system of type 1TV2822 is proposed. The results of modeling the operational mode and emergency mode of operation of a traction electric motor are presented, using digital processing of current waveforms in the stator winding, logarithmic spectrograms of the stator current are obtained, graphs of the pseudo spectrum of the power of the logarithmic spectral component of the stator current as operable, and an emergency traction asynchronous electric motor of type 1TV2822 with an inter-turn circuit in the stator winding.Based on the analysis of the power pseudo spectrum graph performed using digital processing of the current curve waveform in the MATLAB program package, the logarithmic powers of the current spectrum in the stator winding are presented, which serve to build an on-board adaptive system for diagnostics of asynchronous traction electric motors of the type 1TV2822 of the electric locomotive 2ES10 «Granite».

The article presents the results of modeling the force fields in the elements of the wheel-motor unit of the electric locomotive 2ES10. The mathematical model is obtained on the basis of the Lagrange equations of the ΙΙ kind. A design scheme for the study of the dynamic behavior of the wheel-motor unit is presented. Expressions for the deflection of the elastic elements of the traction motor suspension, elastic and dissipative forces are given. A method for determining the vector force field at the articulation site of the bracket and thrust suspension TEM is proposed.

Work collector-brush assembly largely affects the operational reliability of the DC traction motors. The article presents results of the simulation of contact interaction «brush-collector» in the 2ES6 electric locomotive traction motors. Reviewed influence of the design features of the brush holder, conditions and modes of operation on the quality of switching traction motors. On the basis of theoretical and experimental studies offered recommendations to improve the quality of contact «brush-collector» and to ensure the operational reliability of the traction motors.

The article presents the results of the study of the influence of deviations of certain design parameters of bogie from established normative values on a relative offset from the crests of wheel pair in mezhdurelsovom space of railway transport. Such deviations occur in the process of the gradual wear of moving parts in real-world conditions of rolling stock and lead to a change of kinematic parameters of bogie. An analysis of dependence of lateral displacement relative to the wheelset of railway track from the difference between the diameters of the tapered surfaces of wheelset, skating from lack of alignment of wheelsets and difference coefficients rigidity of springs of bogie. The proposed mathematical model allows to not only diagnose technical condition of wagon bogies during their movements on the straight section of railway track, but also forecast the rolling stock maintenance dates the whole on the basis of position measurements of wheel pairs regarding railway track.

In the article the finite element model of the electrical contact pin wire - collector strip, which takes into account the complex interaction of electric and thermal processes. As the contact wire is selected worn MF-100, the current collection plate - two brands VJZ-metal and graphite. Microgeometry the body surface at the contact point is obtained based on the model of Greenwood - Williamson. It was considered the two extreme cases of possible contact between the contact wire to the plate. The results were analyzed and compared with the known experimental data. Calculated at what proportions contact force and contact current due to burnout occurs spark or arc. Identify ways to improve the model.

The article presents an improved mathematical model of the thermal state of the pantograph head for calculating the temperature distribution when interacting with different catenary with a double contact wire. The model takes into account the unevenness of the pantograph contact pressure on the wires along the suspension span and between them, allows using the databases of the car-laboratory for testing the contact network, calculating the thermal conditions of the skid on various sections of electrified Railways, including transients between them. The paper presents graphs of the zigzag distribution density of the contact wire of the Moscow - Saint Petersburg high-speed line, and defines the transient and steady state thermal states of the pantograph head when the pantograph interacts with them.

The article presents a universal energy-efficient stand for load testing of asynchronous traction motors, and DC motors. It is proposed to use two options of schemes for testing of traction DC motors with serial excitation and asynchronous motors, and traction motors DC parallel (independent) excitation and asynchronous motors, each of which allows you to implement energy-efficient test method - the method of mutual loading. Given the advantages of the use of the proposed stand. The calculation of the main parameters recorded during the test: currents, voltages and power are invited to perform with the help of mathematical models. Each of the mathematical models takes into account the work of the subjects of the asynchronous traction motors and traction motors DC series or parallel (independent) excitation) by the method of mutual loading: electrical and mechanical link. In conclusion, the article sets out the intended results from the implementation of energy-efficient universal stand for load testing of asynchronous traction motors, and DC motors.

The article deals with the question of methodology stop imitation modeling when using modern instruments of mental resources, which are, for example, was Wednesday MatLab. In particular, analysis of factors that determine the duration of the simulation for a given level of accuracy desired results.

A method to an assessment of influence on the expenditure of electrical energy for traction of trains, parameters of graphic time-table in the conditions of using the regenerative braking is being considered in the article. The retrieval of version with the minimal using of energy is based on the modeling of graphic time-table by different train-to-train intervals in the conditions of burst-mode access’ organization on the railway section. By results of modeling it is proposed to represent the derived dependence by changing of electrical energy’s expenditure on parameters of graphic time-table in the form of analytic function of several variables n-order forthe following using by normative plotting of movement for the purpose of curtailing electrical energy’s expenditure for traction on the trains.

The article analyzes the components of the energy efficiency of regenerative braking and the factors influencing the effectiveness of the use of regenerative braking and energy recovery. Methods of evaluating the energy efficiency of recovery and the results of experimental studies of the effectiveness of recovery. Achieved justification for the use of the method of simulation modeling as a method for evaluating the potential of regenerative braking. It shows the sequence of the work.

To increase the level of mechanization and automation of the assembly processes of rail and sleepers, link assembly lines are installed at the production bases of the track machine stations. In 2012, a semi-automatic link assembly line of KB03 brand was introduced on the Belarusian Railways for the assembly of a rail-and-sleep grid on reinforced concrete sleepers with an SB-3 intermediate fastening. Increasing the productivity of this line is a priority area in research, since in modern conditions there is an increase in the volume of overdue railway track repairs. In the course of the study, it was determined that the most rational solution for studying the work of a link assembly line and finding ways to increase the productivity of its work is to use simulation tools. After studying the technical and other accompanying documentation, a simulation model of the KB03 assembly line was developed. Then the developed model was validated, during which it was found trustworthy and suitable for experiments. Based on the analysis of the results of the experiments carried out on the model, solutions were formed to control the production process of the KB03 assembly line to obtain the maximum increase in its productivity. The calculation of the economic feasibility of introducing the proposed changes and adjustments to the technological process of the link assembly line in production was carried out.

In the article the peculiarities and the advantages of using dynamic modes for diagnosing units of rolling stock. Specific examples of the diagnostics of separate units of the locomotive vibration, temperature, electrical parameters, frequency of rotation. The urgency of the task of developing diagnostic systems using the reference models.

The known approaches to the classification of factors affecting the energy consumption of the train are considered, and their main disadvantages are identified. The validity of existing classification methods and the completeness of accounting for factors affecting energy consumption are evaluated. It is shown that none of the known approaches to classification gives a complete picture of all the influencing factors and the degree of their influence on the energy consumption of the train, since it does not fully take into account the physical nature of the individual components and the overall power consumption for traction. Based on the analysis of the energy balance of the train articulated principles and criteria for the classification of factors influencing energy consumption, considers the interconversion of different forms of energy and describe their energy diagrams in the different modes of the train movement. The analysis made it possible to identify the factors that affect the power consumption of the train in all modes of movement, and evaluate them according to various criteria. A classification of factors affecting the train's electricity consumption is proposed, which allows us to justify the correct method of accounting for each factor, develop measures to reduce the influence of individual factors on energy consumption, improve the system of analysis, rationing and forecasting of electricity consumption for train traction, and competently solve other problems of electric traction energy.

This paper considers a continuous automatic locomotive signalling (CALS) receiver with a correlation decoder. The aim of this paper is to investigate the influence of harmonic interference from a high-voltage power line on the operation of a non-linear CALS receiver with a correlation decoder. The experimental study of the quality of operation of a non-linear CALS receiver with a correlation decoder under the influence of harmonic interference from high-voltage power lines was carried out using the simulation method. Simulation models of interference from a high-voltage power line (VPL), a receiver and a correlation decoder of the CALS channel were used in the study. The analysis of oscillograms obtained as a result of the study has shown that the correlation decoder has a number of features due to the algorithm of its functioning. The correlation decoder more confidently accepts code combinations with a duration of 1.6s (generated by the code track transmitter of CTT-5 type), than the duration of 1.86s (generated by the code track transmitter CTT-7). This is expressed in a shorter time interval of disturbance of the CALS non-linear receiving device. At decoding of the code combination (CC) with the duration of both 1.6 s and 1.86 s the situation of short-term decoding of the more permissive CC «Y» instead of «RY» was observed. However, the duration of these situations did not exceed two code cycles and would not have caused a more permissive light to appear at the locomotive traffic light. In general, the experiments have shown that the CALS CC correlation decoding algorithm needs improvement for more confident decoding of CCs produced by a code track transmitter of the CTT-7 type(1.86 s).