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  • Mathematical modeling of the reliability of a solar hot water system in the Republic of Mari El

    The reliability of the solar heating system with solar collectors was studied using the logical-probabilistic method by building a fault tree. The fault tree was obtained by sequentially detailing the events associated with failures of the solar heating system, as well as its elements. Events were taken into account: conducting test diagnostics of elements of the power supply system, repairing failed elements, failure of elements, reducing the power of solar collectors due to a decrease in the intensity of the solar radiation. The events were divided into two groups: events in which there is sufficient intensity of solar radiation for the hot water supply from the solar collectors, as well as events when the heating supply cannot be provided only due to the solar collectors. The last group of events was divided into two subgroups, within events caused short-term downtimes (at the time of switching) and long-term downtimes (at the time of replacing or repairing a failed system element). Long shutdowns are associated with the coincidence of failures, repair or diagnosis of one or more elements of the solar heating system. Expressions are compiled to calculate the probability of long downtimes, the probability of short downtimes, the probability of failure due to a decrease in the intensity of the solar radiation, and the total probability of failures. As a result of substituting the values of the reliability indicators of the elements of the solar heating system, the value of the total probability of failure during the year is 4.03∙10-5.

    Keywords: solar hot water supply, reliability, solar collector, failure cause, reliability modeling

  • Numerical experiments on the scattering of warm fogs by artificial droplets

    Various methods are used to scatter warm fogs: direct combustion of fuel in the fog; electric heating of the fog; introduction of streams or jets of warm and dry air into the fog; use of radiant energy for direct evaporation of hydrometeors; using explosions of highly heat-forming substances, etc. [4]. In this paper, artificially sprayed water droplets are used to scatter warm fogs. Refined calculations were made to investigate the possibility of fog scattering by artificial droplets. The model describes the fall of drops of radius r2 through the fog, consisting of drops of radius r1, the concentration of which is equal to n1. Detailed equations of gravitational coagulation are used taking into account the hydrodynamic interaction of droplets. The temporal characteristics of fog scattering (increase in visibility range) depending on the size of artificial droplets and their concentration are investigated. The size of artificial drops and their concentration, at which the maximum effect on fog scattering is achieved, are determined.

    Keywords: scattering of warm fogs, meteorological visibility range, concentration of fog drops, fog water content, artificial influence on fog

  • Determination of critical stresses in shells of high flexibility

    The article is considered the wall stability of a steel cylindrical pre-stressed granary, compressed by the friction forces of grain and shell, taking into consideration the influence of the grain internal pressure, its elastic resistance from the inside and the elastic resistance of the pre-stressed shell outside. In this case, the initial and subcritical deflection of the shell is assumed to be axisymmetric, and the loss of the shell stability occurs with the formation of asymmetric deflection. The given solution of the problem allows to determine the magnitude of the critical efforts taking into consideration the influence of the grain internal pressure, its elastic repulsion, the magnitude of the initial deflections and the ratio of shell dimensions.

    Keywords: stability calculation, wall stability, prestressing, internal lateral pressure, elastic rebound

  • Diffraction of a plane wave on a sphere made of metamaterial

    metamaterials, microwave, antennas, diffraction, Maxwell equations, electromagnetic waves, the dielectric constant

    Keywords: metamaterials, microwave, antennas, diffraction, Maxwell equations, electromagnetic waves, the dielectric constant

  • GIS technology is a modern assistant in the selection of real estate

    The authors propose to consider an interesting solution for finding real estate using GIS - technologies. This method can significantly reduce the time it takes to select a property. This article shows how the data processing capabilities of scientific computing tools for Python and the visualization and analysis capabilities of ArcGIS geospatial data can be used to build a model that generates a short list of houses that meet the needs and desires of potential buyers. And although the choice of a house is purely individual, there are a lot of common factors. Such as the total area, the number of floors and rooms, the presence of a garage and much more. Also, when buying a house, you are looking for proximity to services such as food, pharmacies, emergency rooms, child care facilities, parks, etc. You can use the ArcGIS API geocoding module for Python to search for such objects at a given distance around the house. This method suggests combining all the necessary conditions into one system, which will significantly reduce the list of real estate objects on the market and choose the most optimal options.

    Keywords: GIS, ArcGIS, real estate, Python, maps, histograms, filter, DataFrame, spatial distribution, geocoding

  • Application of iterative calculus methods for analysis and simulation of instantaneous traction power supply schemes

    The article is devoted to the possibility of applying the methods of successive approximations in the analysis of the instantaneous scheme of the traction network. The described approach allows to improve the accuracy of modeling dynamic modes of traction power supply sections, and also allows to significantly improve the process of modeling diagnostic systems and control of electric rolling stock at the design stage based on a more accurate model of dynamically changing input parameters of the traction network depending on their required level.

    Keywords: traction network, instantaneous circuit, diagnostics, simulation, iteration

  • Mathematical assessment based on the Lotka – Volterra method of quantitative indicators of processing straw raw materials during combine harvesting of grain

    During the harvesting of crops, a significant amount of straw residues is formed, which can be used as raw material for subsequent processing. To assess the volume of straw suitable for processing for various needs of the agro-industrial complex, it is proposed to apply the Lotka-Volterra method. Using this method, it is possible to predict the formation of straw residues depending on the initial indicators during harvesting.

    Keywords: straw residues, processing of straw raw materials, modeling, Lotka-Volterra method

  • About possibility of application of contactless transmission of the electric power for power supply of low-power consumers from conductors of a contact network of electric Railways of alternating current

    This article is devoted to the study of the problem of power supply of low-power consumers distributed along the path of electric Railways AC, which can act as a system of sensors diagnostics of automated control systems of various objects located along the contact network. The main part of the article is devoted to the description of the primary model necessary for further consideration of such a method of electric power supply and experimental modeling.

    Keywords: contactless power transmission, capacitive communication, power supply, contact network, electric Railways

  • Development of microprocessor control system for seed sowing

    Automation of agriculture is currently a promising and actively developing branch of robotics. At the moment, there are many foreign analogues offering ready-made solutions for automatic control of sowing crops. However, in Russia, most of the sowing is carried out on mechanized plants under the mandatory supervision of a highly qualified specialist in the maintenance of the plant.

    Keywords: seeding control, microprocessor system, selection, seeding algorithm, system architecture, hardware, system structure, layout base, management methodology, import substitution

  • Modeling of diffusion saturation of austenite with carbon, taking into account the temperature in the cementation process

    Cementation studies focus almost exclusively on the movement of carbon, described through the diffusion equations, often with constant coefficients and without regard to temperature. This approach does not allow, to take into account the further diffusion of carbon into the workpiece in a lower temperature range at the stage preceding quenching. The paper describes the modeling of the diffusion saturation of steel by carbon in the cementation process, taking into account the influence of temperature on the example of a numerical solution of the gear cementation problem using the COMSOL Multiphysics program. It was shown that the finite element mathematical calculation of the process of saturation of austenite with carbon during cementation gives good agreement with experimental data, and finite element analysis methods can be used for multivariate calculation of the carbon content in austenite after diffusion saturation

    Keywords: carbon diffusion, carburization, COMSOL Multiphysics, numerical modeling, carbon distribution, carburization, Fick diffusion law, mass transfer, heat transfer, gear, finite element method

  • The method of quasi-optimal synthesis of multi-mode synchronization systems under conditions of regular disturbances based on the combined maximum principle

    A method for the quasi-optimal synthesis of a multi-mode synchronization system based on the maximum condition of the generalized power function has been developed. The effectiveness of its operation in capture mode is demonstrated on the basis of mathematical modeling. The results showed high resistance to disturbances and a decrease in the synchronization error of the multimode system in the steady state.

    Keywords: phase locked loop, combined maximum principle, multi-mode control

  • Poorly executed backfill on subsidence soils as a reason for the increased risk of structural deformations

    As a result of the analysis of normative documentation and soil fixing works, a brief historical review of the physicochemical methods of soil fixing was presented. Examples of the application of these methods in Russia and the world are considered.

    Keywords: subsidence soils, cementation, soaking, heaps, mudding, subsidence, deformation, pit, soil consolidation

  • General diagram of the methodology for evaluating the acceptability of the communication node information collection, transmission and display system

    The article discusses the methodology and concept of situation rooms. The methodology and concept of situation rooms has a long history. As a first step, one can recall the methodology of a classic board in Cretaceous technology. Smart boards have now emerged, where hardware and software are present alongside the light pencil, to display various kinds of information. The second level in cognitive modeling systems is the collective panel display of various information products. Finally, the third level of situation rooms implies a significant development of the software and hardware of the decision-maker support complex. The high level of complexity of the third stage in the creation of the situation room is the creation of developed mathematical support in brainstorming tasks, as well as in the provision of analysis of weakly structured systems. However, while our work deals with the creation of a theoretical model of semantic identification of various scenes, situations of the person making the decision.

    Keywords: Information collection and display system, decision maker, electronic counteraction

  • Dynamic monitoring of data parameters of lightning currents in the south of the European part of Russia

    During the year, depending on the latitude and climatic zone, the number of thunderstorms and their intensity vary greatly, these parameters decrease to the Northern latitudes due to a decrease in humidity and temperature and, accordingly, a decrease in the probability of forming conditions for the formation of convective and thunderstorm clouds. The article deals with the mechanisms of dangerous effects of lightning discharges. The electric parameters of the discharges for thunderstorm processes in the atmosphere were studied using data from the geophysical monitoring center of the FGIBU "VGI", which includes a network of sensors of the automatic thunder-gauge finder - the range finder LS8000. The results of the analysis of the recording of ground-discharge currents and the time of their growth obtained during the period of its operation are presented. The authors determined the statistical distributions of the lightning current amplitude. It is established that the discharge parameters in different regions differ and can change with time. This means that for the effective operation of lightning protection systems and the implementation of measures to ensure life safety during thunderstorms, it is necessary to monitor the lightning situation in each individual region.

    Keywords: atmospheric electricity, lightning discharges, lightning guides, lightning protection measures, life safety

  • The influence of the mechanisms of electrocrystallization of particles on the processes of formation of nano- and ultrafine metal powders

    The technologies for producing ultrafine copper powders are examined. The influence of various parameters on the processes of electrocrystallization of particles is studied. Various mechanisms for producing particles in the presence of water-soluble polymers are presented. The ultrafine copper powders obtained using different electrolysis modes. A review of advanced electrochemical methods for producing ultrafine copper powders with the addition of various stabilizers particle growth, further ways of developing the technology of these technologies are highlighted.

    Keywords: ultrafine copper powders, electrocrystallization, production methods, particle stabilization, water-soluble polymers, double electric layer, vibrocathode