no. 4 (188), 2023


OMSK SCIENTIFIC BULLETIN


MECHANICAL

K. L. Panchuk, T. M. Myasoyedova
The surface of non-linear rotation
DOI: 10.25206/1813-8225-2023-188-5-12
The paper considers a geometric scheme, a mathematical model and an algorithm for shaping a non-linear
rotation surface. It is known that in Euclidean geometry and mechanics the transformation of rotation is linear,
while distance and angle are its invariants. The authors proposed a geometric scheme of nonlinear rotation, in
which the axis of rotation is a smooth spatial curve and the object of rotation is a smooth line. Several propositions,
lemma and a theorem are proved, which allow one to form the initial data in the problem of nonlinear rotation,
the solution of which is the parametric equations of smooth surfaces. The research results make it possible to
expand the variety of cyclic surfaces in the existing classification of analytic surfaces. They can also be useful
in the creation of CAD, which provides for the design of surface forms of products for mechanical engineering,
construction, architecture and other practical areas based on cyclic surfaces.

Keywords: smooth curve, movable trihedron, non-linear rotation surface, shaping algorithm, cyclic surface.
5–12














E. V. Popov, I. N. Shorkina
Automation of ship hull surface simulation
DOI: 10.25206/1813-8225-2023-188-13-21
The article presents a modified algorithm for automated formation of geometric model of ship hull surface. The
use of developed algorithm for construction of NURBS-surfaces allows to decrease labor input in several times
 in comparison with the use of manual labor when modeling surfaces in standard shipbuilding modeling systems
 like Sea Solution, Rhino and others. On the basis of this algorithm a software application was created,
 implemented in HTML5, JavaScript. The application allows to solve problems of creating and displaying
three-dimensional models of ship surfaces in a standard Internet browser. The program allows you to quickly
analyze variants of the geometry of the ship hull model by adjusting the initial data, which significantly increases
the productivity of the designer. It is possible to export the formed NURBS-surface for use in other design
systems, including ship hull construction modeling, stability calculations, hull shell cutting and other tasks.

Keywords: NURBS curve, NURBS surface, hull surface, geometric model, programming languages: JavaScript,
HTML5.    

13–21















F. N. Pritykin, I. S. Kuznetsov
Geometric modeling of the process of digging trench pits during pipeline repair
DOI: 10.25206/1813-8225-2023-188-22-28
When performing work on the repair of the pipeline, the main machine designed for digging trench pits is a
 single-bucket excavator. Pit digging currently uses two excavators moving along the pipeline in parallel
directions. In order to increase the efficiency of digging pits, it is necessary to check whether it is possible to
 dig pits with only one excavator located in the middle of the pipeline, as well as to dump soil into a dump
located on both sides of the excavator's line of motion. Cases are considered when pit digging is performed
by a non-modernized single-bucket excavator, an excavator with the ability to rotate the boom section and
an excavator with the ability to rotate the bucket. The full cycle of the process of digging a pit with dumping
of soil into a dump is also considered. On the basis of the research carried out, an algorithm for automated
control of the movement of the excavator bucket when digging trench pits was developed. The results of
computer simulation of the movement of the excavator manipulator when digging trench pits are presented.

Keywords: movement synthesis, excavator arm mechanism, geometric modeling, pipeline repair, computer
simulation of movements, output link.
 

22–28

















S. I. Rotkov, E. V. Konopatskiy, K. L. Panchuk
The problem of reduction of geometry and graphic training departments in Russian
universities
DOI: 10.25206/1813-8225-2023-188-29-37
In the article the authors raised the problem of reduction of geometry-graphic training departments in Russian
universities, which for the last 16 years amounted to about 1/3. The reasons for this situation are considered,
among which should be emphasized the lack of highly qualified personnel of higher qualification, capable of
leading scientific schools in the profile of geometric-graphic training departments. It is proposed to activate
the work of the departments of geometry-graphic training on training of scientific-pedagogical staff of higher
qualification in postgraduate and doctoral studies. It is also proposed to fix for engineering specialties at the
level of the state standard the necessary labor intensity and more stringent requirements to the staff
conditions for the implementation of the basic professional educational program with regard to the
disciplines of geometric-graphic training of students.

Keywords: problem, department, geometry-graphic training, university, staffing shortage.

29–37















V. N. Syzrantsev, A. I. Starikov
Synthesis of an adaptive cylindrical gear with arched teeth with two contact zones
spaced along the length of the tooth
DOI: 10.25206/1813-8225-2023-188-38-45
Cylindrical gears with arched teeth have the required performance in conditions of both non-rigid machine
 bodies and inevitable manufacturing and assembly errors. Error compensation is carried out by self-alignment
 of the wheels, the possibilities of which are limited in gears with one line of engagement. The article investigates
an adaptive gear with arched teeth with two contact zones, which provides self-alignment of the wheels,
regardless of the angle of misalignment of the teeth in engagement. The most promising in terms of implementation
 in the industry method of cutting arched teeth with a circular cutter head by the rolling method with a single
division on CNC machines. Solved and illustrated by examples of the problem of calculating the parameters of
the process of shaping the surfaces of arched teeth, which ensure the passage of two active lines in the
meshing of the teeth through the given centers of the contact patches and the law of change of the transfer
function required for the implementation of the approximate nature of the meshing.

Keywords: cylindrical gear, arched teeth, two contact zones, geometry synthesis adaptive gear, transfer function.

38–45















 
V. Yu. Solomin, S. V. Belkova, V. Yu. Solomin
Selection of dust cleaning equipment such as cyclone for metalworking industries using
the Hierarchy Analysis Method
DOI: 10.25206/1813-8225-2023-188-46-52
Metalworking is the main industrial production and its technological process requires dust cleaning. The choice
of dust-collecting units from a trivial approach turns into a compact-multi-criteria one and requires the study
of methods for its implementation. This article uses the method of selection of dust-cleaning equipment of
cyclone type based on dust from metalworking industries based on the Hierarchy Analysis Method.

Keywords: dust cleaning, metalworking industries, hierarchy analysis method, dust collector of cyclone type
selection, dust collector parameters, local criteria vectors, global priorities vector.

46–52








  

M. O. Shalnev, Ya. V. Denisova, A. F. Battalov
Increasing the economic efficiency of the work of Gazprom Transgaz Kazan LLC when
operating gas heaters at gas distribution stations using a power supply unit
DOI: 10.25206/1813-8225-2023-188-53-59
This article discusses one of the ways to increase the economic efficiency of the Gazprom Transgaz Kazan Limited
Liability Company (Gazprom Transgaz Kazan LLC) in the operation of gas heaters at a gas distribution station by
replacing the gas heating unit. The advantages of the equipment «ISTOK-60» over PTPG-30 are described, the
calculation of the economic effect from the introduction of new equipment is given. The object of the study is the
process of operating gas heaters at the gas distribution station of OOO Gazprom Transgaz Kazan, the subject is a
method for increasing the economic efficiency of gas heaters. As a result of the study, the expediency of replacing
old equipment with new one was proved and the economic effect was calculated. The article also raises questions
about the possibility of using the concept of «Lean production» in the process of gas distribution. One of the
methods of lean manufacturing – SMED is proposed as the main one.

Keywords: gas distribution station, gas heating unit, pulsating combustion, lean production, losses, economic
effect.


53–59 













     


ENERGY AND ELECTRICAL ENGINEERING

А. V. Kashuba, A. V. Shevkunova
Construction of a control algorithm to improve the energy efficiency of a switched
reluctance electric motor
DOI: 10.25206/1813-8225-2023-188-60-69
An energy-efficient switched reluctance electric drive is considered in relation to electric rolling stock. It fully meets
such requirements as good adjustment properties, high energy efficiency and operational reliability. The scientific
and technical value of the results of the work lies in the development of an algorithm for controlling a traction
switched reluctance motor that reduces the operating current while providing the necessary power. The
calculations were made by means of specialized programs interacting with each other FEMM and MATLAB. The
materials of this study are of practical value for improving the operational and technical and economic indicators
of electric rolling stock.

Keywords: switched reluctance electric motor, algorithm, control angle, optimality, heat loss, current form,
electromagnetic moment.

60–69














E. E. Miroshnichenko
Highly reliable switched reluctance motor for the traction electric drive system of railway
rolling stock
DOI: 10.25206/1813-8225-2023-188-70-76
The main purpose of this work is to create conditions for the use of switched reluctance motor in the traction
electric drive system of rolling stock by increasing the reliability of its bearings. The object of the study is the
traction switched reluctance motor. The task has been set, which consists in developing an algorithm that allows
to calculate the characteristics of the traction switched reluctance motor at the stages of design and production,
taking into account the forces of a one-way magnetic attraction. The forces of one-way magnetic attraction.,
arising in the air gap of the electric motor with two types of its non-uniformity are studied. A proposal has been
made to limit the force of the one-way magnetic attraction. to a force at a permissible residual imbalance. As
a result, an algorithm for determining the characteristics of the traction switched reluctance motor is unique
 in its kind, which makes it possible to reduce the effect of forces of the one-way magnetic attraction on
bearings. The use of switched reluctance motor with a long service life of bearings in the traction drive system
will make it possible to obtain a new competitive rolling stock.

Keywords: railway rolling stock, traction switched reluctance electric motor, force of a one-way magnetic
attraction, anbalance force, bearings, reliability.

70–76

















O. V. Tarasenko, Yu. V. Kreselyuk, M. N. Ivlev
The study of the dependence of magnetic field gradient on parameters of the part being
 tested by the pulsed magnetic non-destructive testing method
DOI: 10.25206/1813-8225-2023-188-77-83
An assessment is made of the influence of the parameters of a controlled part by the magnetic method of
non-destructive testing on the gradient of the magnetic field strength of the measuring transducer. A simplified
 design of a pulsed gradiometric transducer is presented, and its parameters for conducting experiments are
 indicated. A mathematical model for calculating the output signal of a fluxgate gradiometer used to obtain
output data is considered. The dependences of the magnetic field strength gradient on the distance between
the sensor and the plane of the tested part, on the coercive force and the thickness of the hardened layer,
and also on the thickness of the tested part are studied. Conclusions are drawn on the basis of the experiment.

Keywords: magnetic field gradient, intensity, fluxgate, vibration shock hardening, non-destructive testing,
coercive force.


77–83













E. V. Petrova, S. S. Girshin, V. A. Krivolapov, V. N. Goryunov, V. M. Trotsenko
The analysis of continuous admissible currents and active power losses in overhead
power lines taking into account climatic factors
DOI: 10.25206/1813-8225-2023-188-84-92
Formulas for calculating long-term permissible currents and active power losses for overhead power
transmission lines under conditions of natural and forced convection for insulated and non-insulated
conductors are presented. The correct determination of maximum current loads plays an important role
in the efficient use of the load capacity of power transmission lines, and the refinement of the calculation
of active power losses is the basis for increasing the efficiency of energy transmission. The results 
obtained can be used in the selection of measures aimed at increasing the capacity of overhead lines 
and reducing energy losses.

Keywords: overhead power lines, wire temperature, heat balance equation, active power
temperature dependence of resistance, long-term permissible current.
84–92















V. M. Trotsenko
Temperature analysis and comparison of active power losses in non-stationary and
stationary thermal conditions of overhead power lines
DOI: 10.25206/1813-8225-2023-188-93-99
The article considers the temperature distribution with increased currents in the non-stationary thermal regime
of overhead power lines. The temperature distribution along the length of the line for wires of AC-240/32 and
G(Z)TACSR 240 grades is constructed. Temperature dependences on time are plotted. The practical value of
the mathematical model considered in the article lies in determining the maximum temperatures of overhead
lines of different sections in normal or post-emergency wire mode. A comparative analysis of active power
 losses in a stationary thermal regime is carried out with and without taking into account axial heat transfer.
The comparison showed that taking into account the axial heat transfer refines the active power losses,
which allows introducing measures to reduce these losses with greater accuracy.

Keywords: power loss, bare wire, non-stationary thermal regime, stationary thermal regime, wire temperature,
heat equation, axial heat transfer, finite difference method.

93–99















A. O. Paramzin
Development of selective line detection method with single-phase earth fault for
industrial 6–35 kV networks with isolated neutral with non-sinusoidal load
DOI: 10.25206/1813-8225-2023-188-100-108
This paper presents a method for determining the outgoing line with a single-phase fault for 6–35 kV networks
 with a  non-sinusoidal loads. The paper considers the relevance of applying the mathematical apparatus of the
wavelet transform together with the traditional methods of fault location. The application of the wavelet is
relevant in the problems of decomposition of non-sinusoidal current signal of outgoing lines. This is due to the
 loads of modern enterprises of the oil producing sector of Khanty-Mansiysk Autonomous Okrug – Yugra. It is
 proposed to modernize the existing algorithm for relative measurement of the level of higher harmonics. The
proposed method makes it possible to determine the outgoing line by the total energy of the spectrum of
higher harmonics for different network configurations.

Keywords: single-phase faults, wavelet transform, signal decomposition, spectrum energy, higher harmonics.

100–108














V. A. Tkachenko
Development of a method for determining the structure of mini-grid, taking into account
optimal routes of power lines in an area with sharply heterogeneous landscape
DOI: 10.25206/1813-8225-2023-188-109-116
This paper presents a method for determining the optimal structure of an isolated electrical network, taking into
 account the geographical features of the area in which it is located. A distinctive feature of the method is the
removal of restrictions on the number of equivalent routes of power transmission lines sought, with subsequent
 filtering of the routes, taking into account technological and technical limitations. Thus, the obtained method
 can be used to organize microgrids in areas remote from the Unified National (All-Russian) Energy Grid with
distributed generation and load.

Keywords: decentralized power supply, minigrid, microgrid, optimal network structure, transmission line routing.
109–116











ELECTRONICS, PHOTONICS, INSTRUMENT ENGINEERING AND COMMUNICATION
E. A. Abidova, V. I. Ratushny
Registration and signal processing in measuring system for monitoring leaks of NPP
pipeline fittings
DOI: 10.25206/1813-8225-2023-188-117-124
The article is devoted to the problem of identification of leakiness of pipeline fittings. a measuring system for
leak monitoring is described. in contrast to the organoleptic approach adopted in practice, automatic signal
processing is proposed, followed by a conclusion about the tightness of the valve. the automatic processing
is based on an algorithm based on the analysis of the singular spectrum, which provides an increase in
sensitivity. the effectiveness of the complex is confirmed by the test results of the measuring complex using
a hydraulic stand.

Keywords: valve leakage, acoustic signal, operating frequency range, singular spectrum analysis, statistical
hypothesis testing, errors of the first and second kind.
117–124
















V. S. Kovivchak, A. A. Parygin
The influence of preliminary heat treatment on morphology of carbon layer formed
on surface of chlorinated polyvinyl chloride under the impact of a high-power ion beam
DOI: 10.25206/1813-8225-2023-188-125-131
The effect of preliminary heat treatment on the morphology of carbon layer formed on the surface of
chlorinated polyvinyl chloride with the addition of ferrocene (10 % of polymer weight) under the impact
of a high-power nanosecond-durable ion beam has been studied. Preliminary exposure of samples in an
 oven at different temperatures for 1 hour leads to partial dehydrochlorination of the surface layer of
the polymer film and interchain crosslinking, creating centers for the start of the carbonization reaction,
 and thus affects the formation of carbon nanostructures during subsequent irradiation with a
 high-power ion beam. The possible mechanism of carbon nanostructures formation from chlorinated
polyvinyl chloride under the impact of a high-power ion beam and the mechanism of the influence of
preliminary heat treatment on it are considered. It has been established that different heat treatment
 temperatures lead to different morphologies of the resulting carbon nanostructures. On the control
 sample and the sample subjected to heating to 100 °C, only nanofibers are formed, preheating to
 150 °C leads to the formation of a porous structure with nanosized pores under the nanofibers, and
preheating to 200 °C leads to a significant decrease in the porosity and concentration of nanofibers.

Keywords: chlorinated polyvinyl chloride, heat treatment, high-power ion beam, dehydrochlorination,
carbonization, carbon nanofibers.

125–130




















A. N. Lyashuk, A. V. Kosykh
Temperature compensated crystal oscillator design in Keysight ADS
DOI: 10.25206/1813-8225-2023-188-132-139
The article proposes an all-embracing approach to designing a temperature compensated crystal
oscillator in Keysight ADS CAD system, which allows: to investigate the conditions for the
occurrence of self-oscillations in a given oscillator circuit; analyze the temperature-frequency
characteristics of the resonator; form requirements for the frequency control function; simulate
noise characteristics of the generator; optimize the circuit according to the given parameters.
In contrast to the well-known numerical design of a thermally compensated crystal oscillator in
SPICE programs with subsequent analysis of the results in a mathematical program, for example,
Mathcad, the proposed method allows us to investigate the real shape of oscillations, the spectral
purity of the output signal, take into account the nonlinear influence of the circuit and more
subtle effects.

Keywords: crystal oscillator, resonator, thermal compensation, Keysight ADS CAD, Colpitts oscillator,
SPICE program.
131–139 














  

V. V. Fedyanin, V. V. Shalay, V. K. Fedorov, P. S. Yachmenev, I. S. Vavilov
Full-Bridge power resonant converter for the arcjet thruster of a small spacecraft
DOI: 10.25206/1813-8225-2023-188-140-151
In this paper, the applied problems of designing a bridge resonant converter with a high-voltage arc
ignition system in the channel of an electric arc motor is solved. The development of a bridge
resonant power supply is presented, a review and analysis of power sources of arcjet thruster of
various capacities is carried out. The theoretical aspects of calculating the main parameters of
the source are considered. The transfer function describing the gain of the resonant circuit of
 the power supply is given. With the help of the transfer function, gain diagrams are constructed
for various values of the Q-factor of the contour. A prototype of a power supply, a starting system
and an arcjet thruster is presented. A series of experiments aimed at identifying the operability of
 the source was carried out. According to the experimental results, the maximum output power of
the source wiz 182,4 watts, and the maximum efficiency was 87,5 %. Frequency spectra of the
output current of the power supply are obtained. The current-voltage characteristics for the Ar
and N2 are constructed. In the course of the study, phenomena related to the chaotic dynamics
of the arc in the engine channel were discovered. Chaotic fluctuations were observed at the
moment of starting the engine and disappeared after steady-state operation.

Keywords: resonant converters, arcjet thruster, small spacecraft, low-orbit grouping,
 thermoacoustics, deterministic chaos, chaotic dynamics.
140–151


















 
V. V. Erokhin, S. A. Zavyalov
Automated synthesis of integrated microwave LC-filters layouts with passband
losses minimization
DOI: 10.25206/1813-8225-2023-188-152-161
The paper proposes the developed technique for automated synthesis of integrated microwave
LC filter layouts with passband losses minimization by minimizing interconnection lengths and
searching for optimal layouts of conductors, inductors, and capacitors. Algorithms for
minimizing losses and length of LC-filter interconnections are proposed. The layouts of
conductors, inductors, and capacitors are optimized based on silicon-verified models that take
into account the main characteristics and limitations of the process, skin effect, edge effects,
substrate and via influences. The CAD was developed in MathCAD software based on the
proposed technique. The use of CAD made it possible to reduce the engineering time for
integrated LC-filters to tens of minutes, reduce the filters passband losses by 1,1–2,7 dB and
increase the AFCs gain slope by 47–267 dB/dec.

Keywords: microwave, SoC, filter synthesis, LC-filter, MathCAD, optimization algorithm, technique.
 152–161















T. P. Makarova, A. N. Baturo, Yu. N. Bezborodov
Results of a study on combustion of solids in an enclosed volume
DOI: 10.25206/1813-8225-2023-188-162-168
The paper presents the results of laboratory experiments to study the parameters of the gas
environment during the combustion of wood, rubber and plastic under conditions that exclude
 oxygen access to the reaction area. A laboratory bench has been developed to create the
 conditions. Graphs of temperature changes and reduction of light transmission of combustion
 products accumulated in the upper part of the combustion chamber layer have been obtained.
Changes of the controlled parameters were analysed and correlation dependences between
 them were obtained. The results obtained can be used as estimates for building prediction
models of fire development in enclosed storage rooms, as well as for assessing the fire hazard
of substances when burning in an enclosed volume.

Keywords: combustion, enclosed spaces, enclosed volume, fire hazard of substances, control
methods.
162–168