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In the paper the device for reactive power compensation for the electric locomotives based on passive adjustable compensator was described. This configuration of the compensator improve the power factor of the electric locomotive in all operational modes and raise value of the power factor to its maximum possible value. The management of the compensator unit is based on the extremum seeking control autonomous voltage inverter. Mathematical modeling of electric locomotive showed increase the power factor to a value of 0,98.

The article presents results ofmodeling andfull-scaletesting of the devicefor remotediagnosisinsulatorscatenaryrailway transport. The maincauses ofbreakdownof insulators. Presents statistics offailurecatenaryinsulators. The plotof the contactnetwork is presentedin the form ofthe line modelwith distributed parameters. To create a virtual model of the device and the line was selected program Multisim 12.0. Described bya block diagramof the devicefor remote monitoringcatenaryinsulators. Shows theprinciple of operationof the deviceto control thecatenaryinsulators. Present a schemeof the experimentat the siteof contact networkOSTUlandfill. Parameters are calculatedareaof contact network. Chosenform ofdiagnosingpulsesto determine thepossible location ofthe faultyinsulator.

Vibration levels in the subgrade for the movement of trains are investigated. analysis of the recorded accelerograms is made, acceleration fluctuations on the cross section of the embankment are installed. Calculations of the stability of embankments with the effects by the train load are produced.

The main engineering problem associated with the degradation of permafrost and cyclic freezing-thawing of seasonal permafrost soils is a decrease in the bearing capacity of engineering structures due to the degradation of the main physical-mechanical properties of the embankment soils. The cyclical change in temperature leads to regular freezing-thawing of the soil, as a result of which such types of deformations occur as heaving during freezing and settlement during thawing. The purpose of this work is to highlight new information about complex measures to stabilize the subgrade of railways and highways in the cold regions of China. The paper considers such measures as thermosiphon stabilization, rock fill, installation of ventilation pipes and laying of thermal insulation boards. This paper also describes the disadvantages of existing measures for stabilizing the temperature regime of the embankment and its base. Considered the main transport network of the Qinghai-Tibet plateau, including the Qinghai-Tibet railway and four highways. The experimental section of the Wushu-Xining expressway on the Qinghai-Tibet plateau was chosen as the object of the study of numerical modeling; a numerical calculation of the temperature and moisture content fields of the typical embankment was carried out, as well as numerical calculation of the embankment with rock fill for the 10th year of operation. The calculations were carried out on the basis of the «Freeze-Cold» software package specially developed for engineering calculations of the freezing and thawing process in soils. The calculation showed that rock fill allows to reduce the area of the soil thawing, raising the front of frozen soil, helps to reduce the degradation of frozen soil, which ultimately has a positive effect on the bearing capacity of the entire engineering structure. Analysis of the collected data and calculated values allows to conclude that the use of rock fill of 0,8 meters depth as an insulating material to maintain the stability of the thermal regime of the embankment on frozen ground in the considered region of the Qinghai-Tibet Plateau.

In the article the comparative analysis of the dynamic loading of the floor of the car with different types of trucks in various modes of movement (loaded, empty). Commissioning of the new trucks is due to an increase in accidents in the operation of a gondola carts 18-100.

The article presents an analysis of the failures of the mechanical components of the mainline electric locomotives 2ES6 «Sinara» in operation at the landfill of the West Siberian Railway, the causes and consequences of failures of the most vulnerable nodes are determined. The analysis of failures of the mechanical components showed that a significant share of them falls on the components of the wheel-motor unit of the locomotive. The analysis of the design features of the crew part is carried out. The main structural difference of suspension is the absence of leaf springs in the axle box stage, which were widely used on electric locomotives of previous generations. In the body stage, helical springs (Flexicoil) are used instead of the cradle suspension. The connection of the traction motor with the trolley frame is a pendulum. The suspension of the traction motor to the trolley frame is carried out through a leash. When considering the vibrations of railway carriages, it is customary to represent the locomotive and the track as a single mechanical system. The task of forming a mathematical model of the «electric locomotive - path» system is set and a mathematical model of vertical vibrations of an electric locomotive is formed taking into account the dynamics of wheel-motor blocks based on the Lagrange equation of the second kind in the form of a matrix equation, which allows us to assess the loading of mechanical components in operation. The mathematical model represents a system of differential equations in which six equations determine the fluctuations of the bouncing and galloping of the body and trolleys, four - the galloping of wheel-motor blocks, four - the bouncing of wheel pairs together with the reduced mass of the track. The obtained mathematical model makes it possible to determine the level of dynamic loading of the components of the mechanical part of the electric locomotive 2ES6 «Sinara» by integrating the matrix equation using the MathCAD application package.

At present, the “Afrosiyob” high-speed passenger train runs on the Tashkent - Samarkand, Samarkand - Karshi, Samarkand - Bukhara sections. In the near future, it is planned to launch freight trains on sections of the Bukhara-Misken route. On high-speed double - track sections Tashkent - Samarkand, Samarkand-Navаi, the movement of freight trains is combined with passenger trains. Which, in turn, negatively affects the throughput of stations and hauls. In connection with this, the actual issue is the movement of freight trains on these sections. Additional research is needed to increase the capacity of sections where freight and high-speed passenger trains run. The article considers options for the aerodynamic interaction of freight and high - speed passenger trains moving in one or the opposite direction. At the same time, the idea of the safe organization of freight trains during the movement of high-speed passenger trains was put forward. As a result of this study, the possibilities of carrying cargo trains in one direction or in the opposite direction are determined by ensuring the safety of movement on two-way parcels in which high-speed “Afrosiyob” high - speed electric trains travel. This makes it possible to develop recommendations for more effective use of the ability of parcels to conduct trains. When calculating the aerodynamic interaction, scientific ideas put forward by scientists from Europe, the USA, Russia and other countries were analyzed. Methods for solving the Navier - Stokes equations using existing programming models are described.

Recently, for the analysis of complex nonlinear processes, more and more attention is paid to the mathematical apparatus of wavelet transform. This is due to the fact that unlike the traditional Fourier transform, the wavelet transform provides information about the signal under study in the time-frequency domain. The purpose of research is to analyze and simulate a non-sinusoidal non-stationary mode based on the packet wavelet transform, the use of this method for transmitting the digital data stream of the signal under study. The simulation was carried out using the software package Simulink. In the study found that packet wavelet transform with high precision allows to determine the presence of higher harmonics in the power system, the efficiency of using wavelet transform to compress digital data stream of the test signal.

The article discusses the process of developing an adaptive model of energy management of the railway enterprise on the basis of production rules. An algorithm for flow control of fuel and energy resources (FER) of the enterprise of the railway industry using mathematical apparatus of fuzzy logic.Proposed to use the base rules of fuzzy conclusions to assess the adequacy of the developed model of management.

The article provides a brief theoretical analysis of railway vehicle with nonlinear elastic elements. Considered distinctive features of spring suspension electric locomotives of the old and the new generations. On the basis of differences of a calculation scheme and derived a mathematical model of vertical dynamics of conditional «uniaxial» electric locomotive of new generation allows to estimate the critical speed train crew and indicators of its dynamic qualities.

Analysis of failures of axlebox units of bogies for freight cars in the network of JSC «Russian Railways» for the period from 2010 to 2012, disadvantages of this node known construction trucks of the car of model 18-100. Defined vertical, horizontal and longitudinal loads acting on the buchs site. Mathematical modeling of the dynamic loading roller bearing axle-box under radial load. The influence of dynamic loads and defects in a roller bearing axle-box site on a safety of movement of the carriage.

The hypothesis of formation of vibration conditions of a working environment based on representation that process of formation of interaction of elements in systems with not holding connections is considered as the process consisting of several phases is offered. Those are: contact phases at which reaction of connection is positive; a phase of a transition state when reaction is equal to zero; a gap phase in which the contacting surfaces can make the independent movements. Research problems are focused on specification of theoretical ideas of dynamic interactions of a solid body with the vibrating surface on the basis of the developed mathematical models received at introduction of additional external forces and elastic connections. Dynamic interactions of elements are considered; analytical approaches in an assessment of opportunities of vibration technological processes with continuous tossing of a working environment are defined and developed. The generalized approach for problems of dynamic synthesis which basis is introduction of concept about the function of a gap allowing to prove creation of trajectories of movements of material particles according to the certain criteria reflecting properties of trajectories of the movement of material particles in interaction with the vibrating surface is offered. The method of creation of mathematical models of formation of vibration interactions taking into account the factors having technological value or criteria to which conditions of realization of the multiple modes, influence of additional forces and elastic connections belong is developed. Within the generalized approach to the solution of problems of dynamic interaction of the loose environment with the vibrating surface possibilities of use of function of a gap for an assessment and research of forms of the movement of material particles according to influence of a number of the factors reflecting parameters of a vibration field, condition of interactions with environment and features of formation of the periodic modes of tossing are considered. The theorem of conditions and opportunities of realization of the steady modes of interaction with the vibrating surface is proved. The analytical ratios defining conditions of realization of forms of processes of interaction of a loose working environment with details in technologies of vibration hardening are received. Results of approbation of recommendations about creation of technological processes in the annex to an industrial technological complex are proposed.

Is executed the analysis of the permissible range of the fluctuation of the phase of signal on the entrance of digital measuring device with a study of phase relationships in the tractive networks of the power supply of rail transport, characterized by high noise level.

The article deals with the modeling of the electric rolling stock and traction power supply system with the aim of solving the problem of reducing the electric power consumption for the traction of trains in the conditions of changing the schedule of freight trains. Simulation modeling is performed for the conditions of changing the mass of the train and the load on the axis. The description of the results obtained is based on regression models, the order of application of models in practice is given.

An approach to the evaluation the actual energy savings achieved when implementing service contracts energy, based on the development of mathematical models of power consumption, taking into account the impact of production and climatic factors. An example of the calculation of the ac-tual efficiency of introduction of energy-saving devices at the Sverdlovsk railway is presented

The actual process of interaction of pantograph with catenary associated with random processes. The main factors affecting the pantograph are vibrations of the rolling stock, aerodynamic, the instability of the dynamic properties of the pantograph and overhead catenary, etc. In view of the plurality of influencing the current collection of factors theoretically investigate the dynamical system "Pantograph - catenary" in full It is a complex task. A more rational to theoretical studies and sufficient for practical use is to consider deterministic processes. In the numerical simulation of the current collectors are the most common types of the following design schemes (models): lumped mass pantograph model; pantograph multibody schematics; pantograph multibody schematics in CAD-systems, which describe in detail the geometric dimensions and physical properties of each element of the pantograph. In the design of the pantographs is an integral part of the calculation of interaction of pantograph with contact suspension. Contact suspension counted in the calculations in the form of a concentrated mass interacting with the pantograph skid or a spatial system composed of resilient elements of finite length (catenary with distributed parameters). The second type of catenary model is used in the interaction with the first two types of models considered by the current collectors. Based on the features of each of the presented kinds of models, present the technique of the pantograph model selection, depending on the purpose of the simulation.

The development of railway transport is currently impossible to imagine without the use of mathematical models and algorithms. Consider the increase in speeds, reduction of travel time, while minimizing costs, is possible only with the qualitative and full use of the mathematical apparatus. The use of information technologies makes it possible to take an effective decision in the development of a project for the reconstruction of a railway line. The current state of the theory of railway transport is characterized by the presence of a developed system of mathematical models and algorithms for analyzing various features of railways. This opens up possibilities for building an approach to the problems of searching and optimizing design solutions on a mathematical basis, with the reduction to a minimum of costly and time-consuming physical modeling procedures. One of the main tasks that are set for the railway transport in the near future is to increase the speed of trains on existing railway lines with the use of computer technology (computer-aided design). The article deals with the problems of technical reconstruction of the railway plan to increase the speed of train movement. The urgency of the use of computer mathematical methods for the development of an optimal plan for increasing the speed of trains. A pair of mutually dual problems of optimal reconstruction of railway curves to increase the speed of trains with minimal capital investment is considered. As methods for solving the problems posed, the following methods were proposed: the method of steepest descent, a modified method of dynamic programming (the Cattell method), the method of indefinite Lagrange multipliers. The expediency of using each method to solve the problem is indicated. The considered methods allow to implement a number of computer-aided design procedures for the reconstruction of the railway plan.

The algorithm of constructing the confidence interval of the model estimating the reliability of liner-tamping-straightening machines. The basis for assessing the reliability of transport-technological process initiated the concept of reliability, as the probability of reaching a liner-tamping-straightening machines ultimate goal in the manufacture of track work. One of the main factors reliability of track machines is the utilization of their time and availability to work. The guidelines are outdated factor data used during the working time that must be updated, as the machines are constantly being improved. According to the results of field testing of the liner-tamping-straightening machines was established database of values of the coefficients of availability and utilization over time. The data base values were recorded, the last two stages of verification: logical and mathematical. In the article the example of constructing a confidence interval values of the coefficient of use of time depending on the complex index of reliability: availability. To create the model formed the sample values from the database. After sampling in accordance with GOST R 8.736-2011 State system for ensuring the uniformity of measurements. The direct measurement repeated. Methods of processing the results of measurements were tested for their adherence to the law of normal distribution using the goodness of fit Pearson. Then built a model of the utilization of time depending on the availability liner-tamping-straightening machines (regression equation) and the confidence interval of the model. The proposed model works liner-tamping-straightening machines allow us to predict the main complex organizational and technological performance of a specific machine at the design stage of technological processes of track work. This method is versatile and can be used to assess the technical reliability of any machine systems, complete sets and individual cars.

The quality of a track circuit monitoring system is defined to the great extent by its ability to automatically analyse the acquired data, i. e. identify the state of a track circuit. Machine learning techniques can be applied to implement this functionality. Designing a machine learning algorithm requires a learning data set from the subject domain. In this article we discuss a basic principle of track circuit mathematical model design that could be used to generate such data set. We also apply this principle and a combination of some existing methods to design and demonstrate a mathematical model of the 25 Hz AC track circuit.

The article describes three variants of the mathematical model of the sensitivity function of the magnetoinduction sensor for assessing the influence of various sensor parameters in the electromechanical system «wheel - rail - magnetoinduction sensor» for diagnosing the technical condition of the rolling surface of the rolling wheels of rolling stock in the process of its movement over the sensor. An example of an algorithm for identifying defects located on the surface of the wheel rolling circle is described. The proposed multi-vector mathematical model allows simulating various defects on the rolling surface of the wheel, developing and testing new algorithms for processing the output signal of the sensor on the basis of modern hardware and software. The implemented defect identification algorithm is based on the property of the centrally symmetric form of the sensitivity function of the magnetoinduction sensor and the allocation of a useful signal corresponding to a certain type of defect, based on the application of a mutual correlation function and the assessment of its maximum and minimum values in comparison with the specified thresholds and confidence intervals. The main requirement for the implementation of the model is the uniform movement of the train above the sensor along a straight section of the rail track. This article discusses only one of the possible digital signal processing algorithms, but the proposed model allows us to compare the efficiency of other possible algorithms identification of defects in the rolling surface of wheelsets. The developed model confirms the prospects of using magnetic induction sensors for identification of not only visible, but also hidden defects on the rolling surface of the wheel in the process of movement of the train.

In the work completed a study of shape vertices a unimodel probability density function (kurtosis) on the output of the nonlinear converter «phase shift - code, which is the most important parameter for evaluating conditions of finding mode to this function. To increase the accuracy of assessment shifts phases when there is high level of random noise is defined not only quality, but also quantitative dependence of the kurtosis probability density function on the output of the nonlinear converter «phase shift - code» of Standard deviation phase fluctuations of the signal at its input. The mathematical model of the distribution function on the output of the converter «phase shift - code» for research and implementation of algorithms improve noise immunity measure phase shifts between harmonic components of voltage and current in traction power supply rail transport networks.

Purpose. Constructing a model for predicting a quantitative indicator of the pre-discharge state of the upper structure of the track based on a statistical analysis of the seasonal dynamics of this indicator. Forecasting involves identifying bottlenecks for timely corrective action. This approach allows you to refine the construction of algorithms of the functional risk assessment system on the infrastructure of Russian Railways for managing the technical condition of the railway track and safety and is considered as an element of digitalization of the risk assessment of traffic safety in the Railway Infrastructure Directorate. The development is carried out on the basis of accepted existing regulatory documents and classifiers of risk factors operating for the infrastructure management at Russian Railways. Methods. regression analysis, data validation, modeling based on regression analysis. Results. Dependence was identified and a forecast model of the dynamics of the number of deviations of the 2nd degree rail gauge geometry (GRK) was built based on the use of actual data from the automated system Path (APCS P) of Russian Railways. Testing of the approach was carried out on the basis of the Directorate of Infrastructure of the North Caucasus Railway. The identified dependence allows you to give a fairly accurate forecast of the state of traffic safety and the development of GRK deviations on the 2nd degree for use in practice, effective planning of material costs for planned preventive work and overhaul at linear enterprises, on a specific railway adopted for calculation and on the network of Russian Railways. Practical significance. The constructed model allows predicting the intensity of the risk factor on an objective basis of seasonal patterns, as well as the volume of control impacts on the current content of the upper track structure. The presence of such a forecast will make it possible to establish a relationship between the indicator of the dynamics of the number of deviations of the 2nd degree rail gauge geometry, including seasonal dynamics, and the risk factor, that is, the number of GRK deviations of the 3rd degree used in the risk assessment on the infrastructure. The result of this approach is the solution of a system of tasks that affect the values that reflect the level of risks, and as a result, effective management of financial flows for the maintenance of infrastructure, reduction and prevention of traffic safety incidents.

The results of mathematical modeling of the optimization of maintenance cable lines are presented in article. The results can be used to calculate the optimal frequency and number of major repairs and substitutions of cable lines.

The models of complex organizational and technological parameters of operation of liner-straightening machines cyclic action on the example of the VPR-02 and VPRS-02 using a probabilistic assessment of the reliability of their work. For her study conducted two etapa checks: logical and mathematical. After sampling in accordance with GOST 8.207-76 inspect it belongs-rise normal distribution using Pearson's chi-squared test. Next calculated reliability and risk completion of the planned scope of work machine systems, complexes, components and individual machines in the planned period of time. The models are based on actual field tests of databases, technical and economic indicators of machines, components and systems in real operating conditions. This model optimizes track works with a given reliability at stave-builder, all kinds of repair and current maintenance of railway track. And also give the opportunity to the WHO-define more rational modes of operation of track machines for you, edits, tamping and straightening the railway line, thereby increasing pa O-workings of these machines. They enable organizations operating these machines more reasonably expect the required number of cars processes track works, their cost and labor. The proposed method models quantify the technical reliability of the liner-straightening machines; allow predicting the main complex organizational and technological performance of a particular machine at the design stage of technological processes track works. This method is versatile and can be used to evaluate the technical reliability of any machine systems, components and separate machines.

The reliability of diesel locomotive operation largely depends on its temperature conditions. The stability of temperature conditions should be provided by the cooling system, which regulates the heat removal from the coolant depending on its temperature and the operating mode of the diesel engine. During operation, with the existing algorithms for the operation of standard cooling systems, significant temperature drops of the coolant are observed over fairly short time intervals. This negatively affects the reliability of the diesel engine. On different series of diesel locomotives, the system for regulating the operation of refrigerator fans may differ significantly. To regulate the air flow through the refrigerator sections, an algorithm is used to turn on or off a certain number of motor fans or to change the oil flow through an axial piston type hydraulic machine, or to regulate the oil level in a torque converter. To develop an algorithm for controlling the operation of the cooling system in order to stabilize temperature conditions, it is necessary to study the processes implemented in operation. The article presents the results of the study of temperature fluctuations of the coolant during the operation of locomotives. According to the results of the study, the realizable rates of increase and decrease in the temperature of the coolant, taking into account the inertia of the process, are established. It has been established that standard cooling systems do not allow exceeding the established limits, but do not exclude significant changes in the temperature of the coolant when changing the operating mode of the diesel engine. The obtained results can be used to improve the management of heat exchange processes in order to stabilize the temperature conditions of the diesel engine, which will increase the reliability of its operation.