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Increasing speeds on existing railway lines is one of the main challenges facing the Belarusian railway. Through the territory of the republic there are two transport corridors connecting Russia and Western Europe, as well as Ukraine and the Baltic countries. In all of the above countries, the increase in speed on the railways is very fast. Belarus can not stand aside. However, to increase the speed, it is not always enough initial information. To identify the necessary data, methods of decision theory are used. The integral probabilistic criterion method (CPI) allows one to substantiate the road parameters necessary for introducing high-speed traffic on existing lines. The proposed method of decision-making on the choice of technical parameters and equipment of the line, taking into account the uncertainty in the re-design for the high-speed movement of passenger trains. The initial data for determining the CPI is a risk matrix or a matrix of particular criteria. When using the risk matrix for each design decision option i, the dependences of the expectation of losses on the probability of realization of the design conditions p varying in the range from 0 to 1 are compiled. In the article on the proposed methodology, the reduced costs for the variants of design solutions are determined under all possible design conditions. Using these costs, a matrix of private criteria and a risk matrix are formed. A comparison was made of the design decision options for the integral probabilistic criterion, using which the recommendation of choosing the option is unambiguous and is accompanied by a quantitative assessment, which facilitates the task to the decision maker.

Currently, according to regulatory documents, the resistivity of power line wires is assumed to be the same for any permissible load current and the heating temperature of the wires is equal to 20 degrees. This account of resistivity causes significant errors that significantly affect the operating modes of power transmission lines. This article analyzes the influence of outdoor air temperature, load current, solar radiation intensity, wind speed and direction on the heating temperature of overhead power lines, and as a result, on the value of the resistivity of the wires and power and electricity losses in them. The example of the BAM highway shows that even in the conditions of one region, the outdoor air temperature varies, depending on the time of year, within a very wide range. This in turn requires careful consideration of the dependence of the resistivity value of the line wires on the external air temperature. At the same time, it is shown that it is permissible to ignore the intensity of solar radiation, wind speed and direction on the heating temperature of overhead power lines due to the lack of comprehensive information about these factors and their opposite direction. However, this assumption will only be valid for operating currents in the range from zero to double the current value corresponding to the economic density. When calculating power losses, especially in heavily loaded lines, it is necessary to take into account all external temperature influences. Due to the appearance of sensor temperature sensors, it is proposed to use them directly to measure the heating temperature of line wires and then calculate their resistivity.

The article shows the relevance of the problem of noise pollution of the environment by railway transport. The purpose of the research is to assess by calculation and instrumental methods the compliance of the existing noise levels in the residential area near the railway tracks with sanitary standards, to propose a set of noise protection measures and to substantiate their acoustic efficiency. The applied methods for measuring and calculating the equivalent and maximum noise levels of the rolling stock comply with the requirements of regulatory documents. The authors took into account the features of the propagation and shielding of sound waves in the existing residential area, background noise, and the traffic intensity of trains of various categories. The results of measurements, calculations and estimates of the noise generated by the rolling stock in the residential area in Omsk are presented. A significant excess of the maximum permissible equivalent and maximum noise levels in residential areas has been established. Comparison of the calculated and measured noise values, taking into account the standard uncertainty of the calculation methods and the expanded measurement uncertainty, showed quite satisfactory convergence of the results obtained and confirmed a significant excess of the sanitary noise standards. A set of measures is proposed to reduce the noise of railway rolling stock at the source of its occurrence and on the path of its propagation in the existing residential area. The dimensions of the embankments of the two sections of the railway tracks allow the installation of screens of low height up to 38 cm, the geometry of which is designed so that, in terms of reflection of the noise emitted by the rolling stock, they are at least equivalent to a standard noise protection wall 2 m high. For the track section located in the recess, it is proposed to install a noise barrier 6 m high and at least 1 km long. Its acoustic efficiency was calculated.

The article examines the technique of designing diagnostic system of infrastructure of electrical railways based on use of bayesian networks for prediction of probabilities of failures. To achieve maximum effectiveness of diagnosis we should minimize the number of input parameters, while maintaining the required accuracy. It is proposed to create a mathematical model of the diagnostic system, that will allow to evaluate the influence of each parameter on the accuracy of prediction of failures. To compensate the lack of source data we can use the advantage of bayesian networks - the opportunity to generate network structure by the method of expert evaluations. Generated bayesian network will perform the failure probability calculation with limited information.

This article examines the development of Uzbekistan’s transport and logistics system, focusing on optimizing the piggyback train schedule. Due to its strategic geographic location, Uzbekistan serves as a crucial transit hub connecting Europe and Asia. The continuous growth in freight traffic and the increasing need for greater logistics efficiency require a comprehensive approach to modernizing railway infrastructure and optimizing transportation processes. The study provides a detailed analysis of the current state of Uzbekistan’s railway network, identifying key areas for improvement. Special attention is given to the implementation of piggyback transportation, which offers significant advantages such as reducing transport costs, improving cargo delivery reliability, and minimizing environmental impact. To evaluate the efficiency of transport solutions, mathematical models are applied to assess station capacity and train scheduling. A comparative analysis of different freight transportation methods is conducted using Laplace and Wald decision-making criteria, enabling the identification of the optimal transportation mode and route. The results demonstrate that a well-planned train timetable facilitates increased freight volumes, enhances logistical coordination, and strengthens Uzbekistan’s role as a major transit corridor. Additionally, the study highlights the economic and operational benefits of implementing optimized piggyback train schedules. The findings of this research contribute to the development of strategies for railway infrastructure modernization, providing practical recommendations for improving freight transportation efficiency. These insights can support policymakers and industry stakeholders in making informed decisions to enhance the competitiveness of Uzbekistan’s transport corridors in the global logistics network.

The article is devoted to numerical methods for solving nonlinear heat conduction problems with considering for the relaxation of heat flow. A mathematical model is developed on the basis of a non-linear heat equation of the hyperbolic type for calculating the temperature field in an infinitely extended (unlimited) plate. The implementation of the grid method using a three-layer implicit difference scheme for solving the nonlinear hyperbolic heat conduction problem is presented for the case when the absorption of radiation energy is modeled by a volumetric heat source. A numerical solution of the nonlinear heat conduction problem in an unbounded plate is obtained taking into account the relaxation of the heat flow on the basis of the finite difference technique using the sweep method and iterative refinement of the coefficients. A calculation algorithm with a graphical representation of the results of calculating the temperature field in an unbounded plate under the influence of concentrated energy flows is described. A comparison of the results of calculations of temperature fields in mathematical modeling on the basis of the nonlinear hyperbolic heat equation and the corresponding linear model using the mean integral values of thermophysical and optical characteristics is presented. The significant differences obtained between the temperature fields corresponding to the nonlinear and linear problems justify the need to take into account the temperature dependence of the thermophysical characteristics and the absorptivity in the study of high-intensity processes of heating the bodies. The developed nonlinear mathematical model of body heating with allowance for the finite speed of heat distribution and the temperature dependence of the material properties, can be used to select the modes for processing mode bodies with high-intensity energy flows.

Resistive heating of the pantograph head due to the flow of traction current through the conductive elements of the upper node, has an uneven distribution along the frame structure and depends on the location of the contact wire on the insert. The aim of the work is to develop a mathematical model for calculating power losses in the pantograph panhead, allowing to estimate its value, taking into account the zigzag of the contact wire during the movement of electric rolling stock. The subject of the study is the pantograph panhead. The paper gives an example of calculating the frame skid of a pantograph equipped with carbon strips. Experimental studies of the current distribution over the shunts of the panhead depending on the position of the contact wire were carried out in February 2021 in the laboratory "Designs of contact networks, power lines and current collection devices" using a complex for testing current collection devices. The calculation of the heating power of the panhead is determined by the Joule-Lenz law. The results of the calculation showed that the maximum heating power is observed when the contact wire is in the middle of the panhead, while the places of the greatest losses located along its edges are above the places where the shunts are attached. The model makes it possible to obtain a functional dependence of the heating value along the panhead. The obtained results of the skid heating power distribution make it possible to supplement the complex model of the thermal state of the pantograph developed at the Omsk State Transport University with the participation of the authors of the article. The versatility of the developed model makes it possible to investigate various zigzags of the contact wire and evaluate the effect on the distribution of traction current along the panhead, depending on the location of the shunts and their number.

This article discusses the process of maintenance of railway automation devices. The aim of the work is to reduce labor costs for maintenance of track circuits of railway automation. Presents the method for automating the process of checking on the shunt track circuits shunting sensitivity of track circuit by at cross-rack and scheme of the device that implements this method. The values of shunt resistance equivalent to the imposition of regulatory shunt at predetermined points of the track circuit are calculated. The results obtained in the paper can be used for the improvement of systems of automation of existing railways.

We propose the concept of the new system for monitoring and electricity metering on the feeders of the D.C. contact network. The system is based on previously designed prototype that has been put into operation, and differs from it in new solutions that allow to achieve greater mobility and simple scalability. We describe the basic technical solutions, the system functions as well as its potential.

Substantiated the application of the probabilistic analysis of the break-even on the basis of a Monte Carlo method for the study of freight as a complex stochastic systems. Analysis was carried out on the basis of data of the Ulan-Bator railway.

Railway telecommunications are inherent facilities participating in the organization of efficient and safe transport process. Generally, reliable operation of telecommunication devices is provided by the implementation of preventive maintenance that quality analysis is performed on the incidents during the latest reporting period. The possibility of experimental estimation using computer techniques surely has advantages. In the paper, we have defined an objective of the development of a simulation model of the operation process of railway telecommunications so as to assess the inherent availability and maintenance quality indicator. The model allows carrying out a computer experiment and estimation of the abovementioned measures in an automated way taking into account the following input parameters: failure rates, periodicity and length of maintenance, time of repair, the probability of erroneous actions of service staff and the probability of spare and replacement parts lack.

To improve the accuracy of the diagnosis of the technical condition of rolling stock, it is necessary to develop new algorithms for the digital processing of signals coming from sensors at the time of the passage of the axes of wheeled pairs of wagon carts during the uniform movement of the train on the straight section of the railway track. The use of modern mathematical application software packages to model digital-based data processing algorithms reduces the cost and time of developing automated systems to diagnose the technical condition of the rolling stock of railways. To assess the accuracy of the fixation by the magneto-induction sensor of the moment of passage of wheel pairs axly, an asthigmatic model is proposed, allowing to investigate not only the energy properties of the sensor, but also the shape of the output signal, taking into account the real dimensions of its magnetic core. The developed model allows you to classify the pore. The developed model allows to classify the order of astigmatism model magnetoinduction sensor based on a set of discrete virtual sensors

Shotcrete lining is one of the most common types of temporary supports in tunnel construction. The influence of shotcrete lining on design calculations of permanent lining is difficult, because there is no method of designing at the present time. This leads to increasing in consumption of materials and labour of construction. The information about the influence of the basic mechanical properties of soils, geometrical size of construction per value of temporary shotcrete lining factor was obtained during research. These data formed the basis for futher development method of designing.

The wet method of cleaning the blast furnace gas from the particles of grate dust is one of the most common. The hollow nozzle scrubber is the device for wet cleaning of blast furnace gas in which the cleaning of blast furnace gas is carried out due to the interaction of particles of grate dust with droplets of dispersed technical water. The principle of cleaning the blast furnace gas in the hollow nozzle scrubber is based on the inertial mechanism of collision of grate dust particles with droplets of dispersed process water. After the particles are wetted, stick together and fall out of the flow of the cleaned gas under the influence of gravity. In this paper, we propose a method for calculating the efficiency of blast furnace gas purification in a hollow nozzle straight-through scrubber, which is based on the division of the volume of this gas purification apparatus into even sections. Because the trajectory of the droplet in the blast furnace gas flow in the hollow nozzle scrubber has a parabolic shape, radial component of the absolute velocity of the droplet s taken into account in this technique to determine the efficiency of catching dust particles. The correction factor in the expression for determining the fractional efficiency coefficient of the blast furnace gas purification from the grate dust determines the presence of «dead zones» when the dusty gas is irrigated with technical water sprayed by involute injectors. In addition, the presented method takes into account the increase in the efficiency of cleaning the blast furnace gas due to the process of condensation of water vapor from the flow of dusty gas in the lower part of the hollow nozzle scrubber.

The article deals with the consumption of fuel and energy resources, including a significant proportion of these resources spent on the organization of electric heating (773.7 million kWh). It was noted that until recently in the reporting of JSC « Russian Railways » there were two different approaches in determining the actual volume of electric energy consumed by electric heating equipment, not equipped with individual metering devices based on the calculation-analytical and calculation-statistical methods. It was found that the results of calculations by both methods have a significant deviation between them (up to 100 %). The purpose of the study is to determine a unified approach that allows to accurately record the consumption of electric energy in these conditions. The characteristic features of each of the applied methods were analyzed, comparative studies on a number of objects of four Railways (October, Sverdlovsk, South Ural, East Siberian), characterized by different climatic characteristics were carried out. At the same time, studies were carried out on the applicability in practice for the regulation of fuel and energy resources of the automated system « Stationary energy » . According to the research results, the value of the deviation of the actual consumption of electric energy from the calculated for both applied methods is shown. A method for determining the actual consumption of electric energy for heating on the basis of a preliminary calculation of the allowable volume consumption of thermal energy with subsequent conversion into electrical energy is proposed and confirmed by tests. The results obtained were adopted when updating the « Methods of analysis and planning of electricity consumption for non-traction needs in JSC « Russian Railways » , approved by the order of JSC « Russian Railways » from 22.08.2018 № 1866p in terms of determining the resource requirements for heating. Based on the results, changes were made to the procedure for filling in the data in the corporate management reporting of EO-10U.

Improving the efficiency of the main activities of JSC «Russian Railways» is currently a relevant and significant issue. According to the provisions of the company main strategic documents, the key performance indicators for the locomotives are to be improved by 2025 and continue so until 2035. The paper deals with the analysis of problems and proposals for improving the management of electric locomotives that carry most of goods on the railways of the Russian Federation. The paper analyzes the possibilities to improve the main operational indicators of locomotive complex by increasing the efficiency of the organization of electric locomotives operation. One of the key performance indicators of the locomotive complex is the average daily performance of electric locomotives. To improve this indicator, it is necessary to increase the amount of work per unit of electric traction rolling stock. The given paper proposes two ways to achieve this. Firstly, it is the qualitative improvement of advantageous locomotives, increasing their traction properties; secondly, the improvement of the technology used to manage traction systems. The paper shows that in order to achieve the company targets, JSC «Russian Railways» has to necessarily implement the second solution, namely, introduce and improve the polygon technologies for managing traction resources and switch to extended railroad hauls of electric locomotives. The paper presents the main requirements and conditions for implementing these technical solutions.

The article discusses the operation of systems for interval regulation of train traffic based on a digital radio channel in the absence of radio communication. The aim of the study is to determine the maximum allowable time for the absence of radio communication between the radio blocking center and a moving train in the interval control system. Criteria are proposed that allow assessing traffic safety, as well as reducing the throughput of train traffic in interval control of train traffic systems. The results of calculating the maximum permissible time of radio communication absence in interval control of train traffic systems for freight trains are obtained. Taking into account the maximum allowable time for the absence of radio communication will completely eliminate the likelihood of a dangerous convergence of trains and ensure compliance with the allowable speed mode with a minimum interval of freight trains.

The article presents the relevance of the use of sources of low-potential, secondary thermal energy, as well as a method for calculating the dependence of the propylene glycol temperature on the depth of a single-well coaxial collector, with constant values of the parameters of the geothermal well. The proposed methodology of the geothermal reservoir, allows to determine the optimal depth of the well, in which the increase in the temperature of propylene glycol in practical terms does not change, respectively, further drilling becomes economically inefficient.

The article provides the correlation analysis of accident type influence as quality factorial characteristic on industrial injuries statistic index in the permanent way division of the Kuibyshev railway during some years. By means of mathematical calculations statistical correlation study of characteristics and values has made, taking into account the degree of severity of workers’ health damage affected by industrial accidents. The hypothesis staged within the framework of Kuibyshev Railway permanent way division has confirmed and the degree of mutual contingency of accident types and their quantity has assessed. It is shown that the practical significance of the correlation analysis results on the formation and (or) adjustment of preventive measures to reduce the levels of occupational hazard and prevention of industrial injuries

The article presents the results of the studied soils on physical and thermophysical characteristics in the territory of the city of Omsk. The lack of such data can lead to erroneous calculations in the design of ground probes using low-potential energy of the earth. A method for determining the minimum distance between wells is proposed, which allows to eliminate soil freezing and increase the efficiency of heat transformers.

The method of determining the costs of technological time of processing trains en route has been improved, taking into account the duration of all operations performed by wagons at stations for the effective organization of freight transportation technology on railway transport. A model for calculating the delivery time of goods has been developed to correctly determine the time spent by loaded wagons en route. A method has been developed for determining the time spent on technological operations at stations and the delivery time of goods. The developed method allows you to determine and plan in advance the amount of work that will be performed at the stations. The indicators affecting the duration of the time of delivery of the cargo are given. An improved formula for determining the delivery time of goods by rail is recommended. The article proposes a technology for calculating the daily mileage rate of wagon shipments, depending on the technological operations performed with wagons at stations and the distance of transportation. The reliability of the research results is confirmed by the use of modern calculation methods. Theoretical studies were conducted on the basis of the laws of mathematical statistics. The scientific significance of the results obtained is characterized by the improvement of methods for determining the costs of the technological time of processing trains and the timing of cargo delivery based on the systematization of conditionally constant and random factors affecting the transportation process on railway transport.

A level crossing is a system of interaction between rail and road transport. Traffic safety at level crossings is a priority in Russia. Despite the annual reduction in the number of level crossings and the modernization of existing level crossings, the number of accidents at level crossings, including fatalities, remains at the significant level. The subject of research is the factors affecting the safety of level crossings. The aim of the work is to identify the factors with the greatest affecting the operation of a level crossings in the Russian Federation. The research used: a generalized block diagram of a level crossing, a block diagram of factors affecting the operation of a level crossing, a prior analysis by the evaluation, calculation of the Kendall coefficient for individual groups of factors, sorting of factors according to the average assessment of experts. The article provides data on the number of road traffic accidents at level crossings in the Russian Federation for the period from 2005 to 2020, and the number of level crossings of different categories for 2020. It has been hypothesized that the main cause of accidents at level crossings is violation of the rules by vehicle drivers. The block diagram of factors affecting the operation of a level crossing based on the generalized block diagram of a level crossing. Factors affecting the operation of a level crossing are divided into four groups. The Kendall coefficient was calculated for individual groups of factors. Evaluation of the factors affecting the operation of a level crossing was implemented, according to the average assessment of the experts. This hypothesis was confirmed. Using of the results of this analysis will reduce the number of accidents at level crossings. The results can be used both in the modernization of existing level crossings and in the design of new level crossings.

In article results of making design for system of the dangerous wastes transport safety by railway is considered. Fundamental elements of safety system are discussed. Recommendations on formation of the dangerous wastes transport safety program are shown.

We consider the concept and architectural aspects of the development of the corporate information sys-tem for monitoring and resources accounting. The relevance of improving automated systems is due to the intensification of the use of modern information technologies in industry. The aim of the work is to select the architecture of the distributed information system for monitoring and resources accounting (hereinafter - the system), which ensures prompt decision-making in the management of technological objects. We consider the current trends in the development of information systems and concepts that provide the requirements established for systems of this class and purpose. The system is based on previously designed prototype that has been put into operation, and differs from it in new solutions that allow to increase mobility and fault tolerance. We describe the basic implemented architectures and the system functionality.

This article is devoted to the investigation of the internal parameters of transformers used for power supply of railway automatic and telemechanic devices. In this paper, the change in the nomogram of the impedance area of a power transformer is considered when changing the parameters of the replacement circuit of this transformer. The possibility of visualizing the change in the parameters of a transformer using the mathematical apparatus of conformal mappings is shown. The nomograms of the input resistance of the single-phase oil transformer are constructed with a change in the value of the insulation resistance and the transient resistance at the junction points. Based on the constructed nomograms, conclusions were drawn on the behavior of the input impedance region of the transformer in various situations.