Energy and Automation
type: channel
description: ISSN 2223-0858 (Online) Subject: theoretical and applied sciences, technology and industry in the field of energy and automation Year established: 2009 Founders: National University of Life and Environmental Sciences of Ukraine Published 4 times a year Media identifier R40-02287. The National Council of Television and Radio Broadcasting of Ukraine Decision No. 1796 of 21 December 2023, protocol No. 31. Speciality DAK: Technical Sciences Languages of the publication: Ukrainian, English Address: Heroiv Oborony st., 12, Kyiv-03041, Ukraine Phone: +38 044 527 85 22 Indexed in the following international scientometric databases: Google Scholar AGRIS MIAR BASE ResearchBib DRJI Ulrichsweb
publisher: Національний університет біоресурсів і природокористування України
language: en
publication name: Energy and Automation
issn: 2223-0858
copyright: Relationship between right holders and users shall be governed by the terms of the license Creative Commons Attribution – non-commercial – Distribution On Same Conditions 4.0 international (CC BY-NC-SA 4.0):https://creativecommons.org/licenses/by-nc-sa/4.0/deed.uk Authors who publish with this journal agree to the following terms: Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
items: Electroelastic bulk and normal shear waves in a layered-periodic medium of the type metal-piezoelectric-dielectric
items: Theoretical study of the motion of material particles in centrifugal devices with curved blades and variable angle of their rise
items: Current state and prospects of energy-saving development of vegetable storage engineering systems in Ukraine and the world
items: Electrotechnological complex of plants energy-efficient irradiation in greenhouses
items: Efficiency of carbon dioxide capture in a rotating packed bed with diifferent absorbents
items: Energy efficiency of heat pump continuous flow grain dryers
items: Analysis of direct mechanical into thermal energy conversion using eddy currents
items: UTILIZATION OF WASTE HEAT FROM TECHNOLOGICAL EQUIPMENT TO IMPROVE THE ENERGY EFFICIENCY OF VENTILATION SYSTEMS
items: Increasing the efficiency of electricity use by residential and public buildings in the presence of hybrid solar power plants in the electricity market
items: Scientific foundations of designing specialized agricultural bioengineering complexes
items: Influence of voltage deviation on the angular speed of series-excitated DC motors
items: Increasing the efficiency of heat utilization of exhaust air from combustion chambers by conversion into electrical energy
items: Optimization of heat recovery system parameters with a glass furnace recuperator
items: Analysis of relay protection systems of regional distribution networks with distributed generation sources
items: To the 60-year anniversary of Viktor Volodymyrovych KAPLUNA
items: Identification of rodents locations in fields for organization of protective measures in agronomy
items: Influence of the amount of loaded substrate on the energy efficiency of biogas production
items: Role of sustainable aviation biofuels in the decarbonisation of aviation sector
items: Use of "green" hydrogen for the production of synthetic renewable methane in Ukraine
items: Hybrid control strategies for multi-robot systems: enhancing coordination, communication, and adaptability
items: Presentation of knowledge in the production of entomophages
items: Research on the energy efficiency of the anaerobic fermentation process of animal waste
items: Satellite monitoring in the implementation of the agricultural development concept in an urbanized environment
items: Reversible control of series-excitated DC motors
items: Modern approaches to processing technological information in industrial automation systems based on knowledge bases
items: Ways to improve the energy efficiency of pumping units of water supply systems taking into account the dynamics of the increase in the cost of electricity
items: Electrotechnological methods for improving the quality of vegetable oils
items: Chervinsky Leonid Stepanovych (to the 75th anniversary of his birth)
items: Increasing biogas yield in biogas plants by adding whey to cattle manure
items: Stability research of parametric systems with partially fixed boundary conditions

Electroelastic bulk and normal shear waves in a layered-periodic medium of the type metal-piezoelectric-dielectric
type: item
description: A method for constructing dispersion relations for bulk and normal electroelastic shear waves propagating in layered-periodic media formed by repeating a "generating" metallized package consisting of a piezoelectric layer and a dielectric layer that has no electrical properties is proposed. As a result of the analytical calculations, dispersion relations for normal and bulk electroelastic shear waves were obtained. CdS or ZnO were considered as piezoelectric materials, and the dielectric layer was chosen with the parameters GaYIG. The obtained dispersion relations were numerically analyzed for different geometries and physical properties of the materials forming the "generating" package. . Numerical analysis showed that a feature of the obtained bulk wave spectrum is that in the range of changes in the wave number and circular frequency, the zone boundaries do not intersect. The spectrum of normal waves is localized in the transmission zones of bulk waves except for one dispersion curve. The influence of physical, mechanical and geometric parameters of the layers on the structure of the blocking and transmission zones has been studied, as well as the influence of the piezoelectric effect has been investigated. Based on the approach proposed in the works of M.O. Shulga, the problems of bulk and normal electroelastic waves are reduced to the study of the properties of the transmission matrices of the "generating" package of layers, through the elements of which the desired dispersion relations are expressed. In the work, it was possible, using the condition of metallization on the outer surfaces of the package, to write the dispersion relations through the elements of second-order matrices instead of the fourth, which allows simplifying the analysis of the dispersion equations. Key words: bulk and normal shear waves, periodic layered structure, piezoelectric, dielectric, transmission zones, bulk wave blocking zones
subject: Статті
  topic: section
creator: V. Levchenko
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 199
ending page: 208
doi: 10.31548/energiya3(79).2025.199

Theoretical study of the motion of material particles in centrifugal devices with curved blades and variable angle of their rise
type: item
description: In centrifugal scattering devices, the blades provide the necessary trajectory and speed of the particle in relative motion. The operation of scattering devices with straight blades has been sufficiently studied. From a theoretical point of view, it seems interesting to study the motion of a particle along a curved blade, when the angle of elevation of the particle increases from zero to a given value at the moment of its descent from the blade. The purpose of the study is to perform a comparative analysis of the motion of a particle along straight and curved blades, which provide a given angle of elevation of the particle at the moment of its descent from the blade. When a disk with a curved blade rotates, the particle performs a complex motion: translational due to the rotation of the disk and relative along the blade. To compile the differential equations of motion, it is necessary to find the absolute acceleration vector, which includes three components: acceleration in translational motion, acceleration in relative motion, and Coriolis acceleration. This vector is conveniently searched for in the projections onto the orthogonal surfaces of the accompanying trihedron of the translational motion curve, which for the rotational motion of the disk will be a circle. Generalized differential equations of particle motion in centrifugal devices along a curved blade with a variable lift angle have been derived. A comparative analysis of the kinematic parameters of motion for straight and curved blades has been performed. A comparative analysis of particle motion along straight and curved blades of a centrifugal scattering device has shown that a particle along a curved blade in the form of an arc of a circle of the specified length accelerates faster than along a straight one. Thus, replacing straight blades with curved ones allows achieving the same effect while reducing the angular velocity of disk rotation from 25 rad/s to 23 rad/s, i.e., the reduction is 8%. With an…
subject: Статті
  topic: section
creator: S. F. Pylypaka
creator: A. V. Nesvidomin
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 185
ending page: 198
doi: 10.31548/energiya3(79).2025.185

Current state and prospects of energy-saving development of vegetable storage engineering systems in Ukraine and the world
type: item
description: Збереження свіжості та якості овочів є важливим завданням для аграріїв у всьому світі, включаючи Україну. На тлі зростання цін на енергоносії, енергоефективність систем зберігання овочів стає особливо актуальною. Тому сучасні технології зосереджуються на розробці енергоощадних інженерних рішень для овочесховищ, спрямованих на зменшення енерговитрат та екологічного впливу. Особливу увагу приділяють оптимізації умов зберігання, автоматизованим системам керування мікрокліматом та використанню відновлюваних джерел енергії. У статті розглянуто сучасні тенденції та перспективи розвитку енергоефективних інженерних систем для овочесховищ в Україні та світі. Наголошено на важливості оптимізації мікроклімату для збереження продукції та мінімізації енергетичних витрат. Дослідження базується на аналізі наукових публікацій, нормативних документів та аналітичних даних щодо вентиляційних, холодильних систем та автоматизації мікроклімату овочесховищ. Проведено порівняльний аналіз традиційних та сучасних технологій зберігання, включаючи застосування чисельного моделювання гідроаеродинамічних процесів (CFD) для оцінки ефективності систем підтримки мікроклімату. Визначено, що інтеграція відновлюваних джерел енергії (сонячних панелей, теплових насосів, систем акумуляції холоду) суттєво знижує енергоспоживання овочесховищ. Використання CFD-моделювання дозволяє оптимізувати параметри повітрообміну, температури та вологості, що сприяє зменшенню втрат продукції та оптимізації енергоспоживання. Аналіз сучасних технологій свідчить про зростаючу роль інтелектуальних систем керування мікрокліматом, що дозволяють автоматично регулювати параметри повітряного середовища та забезпечувати оптимальні умови для збереження овочів. Впровадження енергоефективних технологій зменшує операційні витрати та мінімізує екологічний вплив. Досліджено концептуальні підходи до підвищення ефективності зберігання овочів, що базуються на поєднанні CFD-моделювання, автоматизованих систем керування мікрокліматом та інт…
subject: Статті
  topic: section
creator: I. Sukhodub
creator: D. Ilchenko
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 166
ending page: 184
doi: 10.31548/energiya3(79).2025.166

Electrotechnological complex of plants energy-efficient irradiation in greenhouses
type: item
description: The electrotechnological complex of energy-efficient irradiation of plants in greenhouses is an important aspect in modern agro-industrial production, as it provides optimal conditions for plant growth and development, reducing energy consumption. This complex uses modern lighting technologies that allow for the effective use of natural and artificial lighting, optimizing its intensity and spectrum to ensure maximum photosynthetic effect. One of the main principles of energy-efficient irradiation is the use of light-emitting diode (LED) lamps, which makes it possible to regulate the light spectrum, adapting it to the specific needs of plants. These lamps have high energy efficiency and a long service life, which allows reducing electricity and maintenance costs. In addition, the use of automated control systems, such as light and temperature sensors, allows maintaining an optimal microclimate in greenhouses. Integration of such systems into agro-industrial complexes allows not only to increase yields, but also to reduce the impact on the environment due to the rational use of energy. The development and implementation of energy-efficient irradiation technologies in greenhouses is an important step towards the sustainable development of the agricultural sector, in particular in the context of climate change and increasing demand for environmentally friendly products. Key words: electro-technological complex, energy efficiency, plant irradiation, greenhouse, LED lighting, automation, agro-industrial production
subject: Статті
  topic: section
creator: L. Chervinsky
creator: O. Makoda
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 154
ending page: 165
doi: 10.31548/energiya3(79).2025.154

Efficiency of carbon dioxide capture in a rotating packed bed with diifferent absorbents
type: item
description: One of the effective approaches to reducing CO₂ emissions is the use of liquid absorbents in various types of contact devices, particularly in centrifugal rotating packed bed (RPB) absorbers. This study presents a comparative analysis of chemical liquid absorbents (NaOH, MEA, piperazine) based on mass transfer efficiency, thermal and oxidative stability, regeneration energy demand, and economic feasibility. It was found that centrifugal contactors demonstrate a significantly higher volumetric mass transfer coefficient compared to conventional packed absorption columns, especially when using MEA. The influence of absorbent concentration and hydrodynamic parameters on mass transfer intensity was analyzed. The results show that piperazine, despite its higher cost, provides the best operational performance. The research offers a foundation for selecting absorbents considering both technical and economic parameters as well as mass transfer efficiency, aimed at compact and energy-efficient CO₂ capture systems. Key words: liquid absorbents, rotating packed bed, CO2 capture, mass transfer
subject: Статті
  topic: section
creator: O. Zabolotnyi
creator: A. Solomakha
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 143
ending page: 153
doi: 10.31548/energiya3(79).2025.143

Energy efficiency of heat pump continuous flow grain dryers
type: item
description: Grain drying is an energy-intensive stage of post-harvest processing, where the use of heat pumps is one of the methods to improve energy efficiency. The paper provides concise information on drying technology, types of dryers, and their features. Particular attention is paid to recirculation schemes of the drying agent, which reduce energy consumption by reusing the heat carrier. Modern approaches to integrating heat pumps into continuous flow grain dryers systems are discussed, enabling dual functionality: dehumidifying air in the evaporator and heating it in the condenser. The article proposes a methodology for assessing the energy efficiency of grain drying in heat pump continuous flow grain dryers. The study also analyzes the influence of the non-isenthalpic drying mode in continuous flow dryers, a key feature that differentiates them from chamber systems. Recommendations for optimizing drying parameters to reduce energy consumption and improve dryer efficiency are provided. The research findings may be useful for agricultural enterprises seeking to modernize post-harvest grain processing technologies. Key words: grain dryer, energy efficiency, recirculation, heat pump, flow-through dryers, chamber dryers, grain moisture
subject: Статті
  topic: section
creator: M. K. Bezrodny
creator: V. V. Vovk
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 125
ending page: 142
doi: 10.31548/energiya3(79).2025.125

Analysis of direct mechanical into thermal energy conversion using eddy currents
type: item
description: The article presents the results of an experimental study on the operation of an induction heat energy generator, which implements the conversion of mechanical energy from the rotation of a magnetic disk into thermal energy through eddy currents induced in a conductive metal plate by an alternating magnetic field. The object of the research is the process of direct conversion of mechanical energy into heat. The experimental setup consists of a rotor with permanent magnets arranged in a circular pattern, rotating above a steel plate. As the magnetic field moves relative to the conductor, eddy currents are induced, resulting in heating due to Joule losses. The influence of the structural and magnetic parameters of the setup on the amount of thermal loss power is investigated, particularly the frequency of magnetic field variation, the magnetic flux density, and the distance to the plate. To verify the experimentally obtained values, a theoretical formula for calculating eddy current power loss was used, which accounts for the magnetic induction, frequency of field variation, and the electrical properties of the material. A comparison between theoretical and experimental results showed a discrepancy of less than 10%. The obtained results can be applied in the development of contactless heating systems, energy recovery systems, and power units with direct mechanical-to-thermal energy conversion, especially for wind and hydraulic turbines. Key words: renewable energy sources, wind energy, induction heating, eddy currents, permanent magnets, heat energy generator, contactless heating, direct energy conversion, rotational motion
subject: Статті
  topic: section
creator: V. Golovko
creator: V. Mikhalin
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 114
ending page: 124
doi: 10.31548/energiya3(79).2025.114

UTILIZATION OF WASTE HEAT FROM TECHNOLOGICAL EQUIPMENT TO IMPROVE THE ENERGY EFFICIENCY OF VENTILATION SYSTEMS
type: item
description: The article analyzes various possibilities for utilizing waste heat removed from installed equipment at industrial enterprises. A comparison of different types of systems is presented, highlighting their advantages and disadvantages. Calculations using the h–d diagram were carried out for different outdoor air temperatures for three system configurations: a straight-through system (without heat recovery), a system with air recirculation, and a system with a two-level mixing chamber. The advantages of using an adaptive system with a two-level mixing chamber compared to the traditional air recirculation scheme are demonstrated. It is shown that, under certain operating modes, the adaptive system can reduce operational costs by more than 10 times. Technical barriers to the implementation of an adaptive system with a two-level mixing chamber are also discussed. Key words: energy efficiency; adaptive system; air recirculation; heat recovery
subject: Статті
  topic: section
creator: N. Prytula
creator: O. Bezhyk
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 98
ending page: 113
doi: 10.31548/energiya3(79).2025.098

Increasing the efficiency of electricity use by residential and public buildings in the presence of hybrid solar power plants in the electricity market
type: item
description: The article is devoted to the analysis of electricity consumption schedules of public and residential buildings and the operation and optimization of the operation of rooftop hybrid solar power plants. The wide distribution of hybrid solar inverters, due to both the desire to reduce energy consumption costs and the need to provide backup power to critical consumers, created prerequisites for using the advantages of the electricity market. Storage and the possibility of interchangeability of energy sources (for example, district heating and electricity supply for heating and hot water supply) allows us to talk about buildings in the context of "active consumers". The developed standard schedules of electricity consumption by buildings allow optimizing the use of their own solar power plant to minimize the cost of electricity supply, taking into account the possibility of storage systems and the possibility of using surplus solar generation for heating, air conditioning and hot water supply. The simulation of the solar power plant operating modes in the following options: "consumption for own needs without optimizing the use of storage systems", "sale of surplus electricity on the market", "consumption for own needs with optimization of storage systems" indicates the possibility of reducing the cost of energy consumption of the facility by 30-40% depending on the daily solar insolation. The use of the model allows you to configure the operating modes of hybrid inverters to optimize energy consumption. It is advisable to focus further research on the creation of an alternative control system for inverters with optimization depending on the load profile of the building. Key words: hybrid power supply, energy consumption modeling, cost optimization, demand side
subject: Статті
  topic: section
creator: V. Lytvyn
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 83
ending page: 97
doi: 10.31548/energiya3(79).2025.083

Scientific foundations of designing specialized agricultural bioengineering complexes
type: item
description: The article considers the design of specialized agricultural bioengineering complexes for biological plant protection based on the use of ontologies. The aim of the study is to develop scientific foundations for the design of specialized agricultural bioengineering complexes. The object of research is specialized agricultural bioengineering complexes. The subject of the research is the use of an ontological approach to the design of intelligent information systems for biological plant protection. Research methods – systemic approach, ontological engineering, free software environment Visual Understanding Environment. An analysis of research by domestic and foreign scientists on the design of specialized agricultural bioengineering complexes was conducted. The processes of designing an intelligent information system for biological plant protection are formalized in the form of ontologies, in particular, structuring actions to manage the production of biological plant protection products (at the technocenosis level), structuring actions to manage the use of biological plant protection products (at the agrotechnocenosis level), and developing a knowledge base of an intelligent information system for biological plant protection. The advantages of using ontologies in designing an intelligent information system for biological plant protection are automation of knowledge analysis, aggregation of knowledge, and increasing the level of competence of a human technologist in the processes of production management and the use of biological plant protection products. Key words: agrotechnocenosis, knowledge base, biological plant protection, intellectual information system, ontologies, technocenosis
subject: Статті
  topic: section
creator: I. Chernova
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 70
ending page: 82
doi: 10.31548/energiya3(79).2025.070

Influence of voltage deviation on the angular speed of series-excitated DC motors
type: item
description: Series-excited DC motors are the most common DC motors used in mobile machines. In these motors, the magnetic flux depends on the motor load. Since the magnetization curve of the electric motor is nonlinear, it is not possible to obtain an analytical expression for the mechanical characteristics of the motor. Therefore, the operation of the motor is considered in an unsaturated magnetic system and a saturated one. The purpose of the study is to analyze the influence of voltage deviation on the angular speed of working machines with a series-excited DC motor. As a result of the conducted research, the dependences of the angular speed of a series-excited DC motor on voltage for working machines with different types of mechanical characteristics in an unsaturated and saturated magnetic system were established. It was established that the law of change of the angular speed of the electric drive when the supply voltage deviates is determined by the mechanical characteristic of the working machine. For working machines in which the moment of static resistance does not depend or linearly depends on the angular speed, the angular speed changes linearly with the change in voltage. For working machines with nonlinear mechanical characteristics, the change in the angular speed of the electric drive when the voltage deviates occurs according to a complex algorithm. The influence of the thyristor voltage converter on the power supply network was also studied. The third, fifth and seventh harmonics were found in the harmonic spectrum. Key words: electric drive, series-excited DC motor, angular speed, voltage deviation, mechanical characteristic of the working machine, thyristor voltage converter, higher harmonics
subject: Статті
  topic: section
creator: О. Ю. Синявський
creator: V. Savchenko
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 59
ending page: 69
doi: 10.31548/energiya3(79).2025.059

Increasing the efficiency of heat utilization of exhaust air from combustion chambers by conversion into electrical energy
type: item
description: The article is devoted to solving the urgent problem of increasing the energy efficiency of thermal processes by implementing the latest technology using thermoelectric modules as an alternative source of electricity that uses waste heat. The purpose of the study is to develop and experimentally verify the operability of an autonomous system for recovering heat losses from the combustion chamber of hydrocarbon-water mixtures based on thermoelectric generators. The experimental setup included a commercial module TEC1-12715, which at a temperature gradient of ≈40°C (141°C / 101°C) generated a voltage of 1.56V and a current of ≈0.32A, which corresponds to a power of ≈0.49W. A DC-DC converter (2V → 24V) was used to increase the voltage. The practical suitability of the system was tested on the example of powering a low-power electrical load. The temperature field was assessed during the experimental study using thermal imaging measurements and a non-contact thermometer. A three-dimensional model of ten pairs of P/N-Type elements was developed, which takes into account thermal conductivity and thermoelectric effects. To assess the efficiency of the module, numerical simulation was performed in COMSOL Multiphysics, where a three-dimensional model of an element with 10 thermocouples was created. Under similar temperature conditions, it provided an output voltage of 0.144V. Extrapolation to a full module with 127 pairs gave a theoretical value of ≈1.83V, which is ≈14.7% higher than the experimental results. The discrepancy is explained by thermal losses and idealized modeling conditions. The results obtained confirm the potential of TEG for utilizing low-potential heat and powering auxiliary devices in autonomous power systems. Prospects for further development of the system include the use of materials with a higher Seebeck coefficient; improvement of the cooling system, in particular with the use of CFD analysis; implementation of buffer energy storage for pulsed power su…
subject: Статті
  topic: section
creator: M. Zablodskyi
creator: O. Kovalchuk
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 48
ending page: 58
doi: 10.31548/energiya3(79).2025.048

Optimization of heat recovery system parameters with a glass furnace recuperator
type: item
description: The modern development of the energy sector is characterized by a significant increase in the cost of energy and natural resources, as well as growing requirements for environmental protection from the impact of waste produced by municipal and industrial enterprises. Currently, the problem of energy saving in the municipal heat-power engineering is to some extent solved by recovering the heat of fuel combustion materials. Increasing the efficiency of the relevant heat recovery equipment is important and urgent. The purpose of the study is to optimize the parameters of a heat recovery system with a regenerative-type industrial furnace recuperator based on a complex multi-level optimization, statistical theory of experiment planning, and functional analysis. To achieve this purpose, the following tasks were set: to develop a multi-level optimization scheme and a recursive bypass scheme of optimization levels for a heat recovery system with a glass melting furnace recuperator; to develop mathematical models for each optimization level and obtain functional dependencies of the system efficiency assessment criteria on the main parameters based on statistical methods of experiment planning and functional analysis methods; to determine the optimal values of the operating and constructive parameters of the heat recovery system. The basic principle of the multi-level optimization method is as follows. When constructing a mathematical model of each optimization level, the variable parameters are the parameters that vary for the objects of this level, and the constant parameters are the optimal parameters that are the results of solving local optimization problems of other levels. The main task when using the statistical methods of the experiment planning theory and functional analysis methods is to determine the functional dependencies of the criteria for assessing of the studied heat recovery system efficiency on its main parameters. The research results of the operating and…
subject: Статті
  topic: section
creator: N. Fialko
creator: A. Stepanova
creator: R. Navrodska
creator: S. Shevchuk
creator: H. Sbrodova
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
starting page: 37
ending page: 47
doi: 10.31548/energiya3(79).2025.037

Analysis of relay protection systems of regional distribution networks with distributed generation sources
type: item
description: The article presents a comparative review and analysis of modern methods of functioning of relay protection systems of medium-voltage distribution networks with distributed generation sources (DGR). The analysis touched upon the main technical challenges associated with the active introduction of DGR, primarily renewable sources, into regional networks, which leads to a change in the directions of flows and currents in the network, violation of the conditions for ensuring selectivity, sensitivity and technically perfect coordination between protective devices. Special attention is paid to the features of relay protection of micro-power systems during the transition from network to island mode. The purpose of the study is to review and analyze modern methods and systems of relay protection of distribution regional networks with DRG, taking into account the features of their operation. The article studies traditional and innovative (adaptive, combined, based on sequential components, using phasor measuring devices and artificial intelligence) protection methods, their efficiency and ability to operate in characteristic modes. The comparative analysis was carried out taking into account known modern platforms, their advantages, complexity of implementation, requirements for communication channels, settings and tests, possible risks due to the complexity of relay protection systems. The key advantages and limitations of modern approaches to implementing relay protection, as well as current trends in the development of protection systems for active networks with a high share of DRG, are identified. It is shown that to ensure the reliability and safety of power supply in modern conditions, it is necessary to implement adaptive, intelligent and hybrid protection systems with the possibility of operating regional microgrids in island mode. As a rule, in distribution regional networks, protection systems based on current measurement are used, less often - based on voltage me…
subject: Статті
  topic: section
creator: V. Kaplun
creator: S. Remez
rights: Copyright (c) 2025
date: 2025-09-04
publication date: 2025-09-04
starting page: 5
ending page: 36
doi: 10.31548/energiya3(79).2025.005

To the 60-year anniversary of Viktor Volodymyrovych KAPLUNA
type: item
description: Kaplun Viktor Volodymyrovych is a well-known specialist and scientist in the field of energy, has scientific achievements recognized by the domestic and scientific community. He has solved a number of scientific problems that have significant theoretical and practical significance for managing the reliability of electrical complexes based on devices with the shape memory effect, power supply systems with polygeneration, their technological structuring and increasing efficiency through dynamic energy management. During 2010-2011 - Director of the Research Institute of Electric Power Systems of NUBiP of Ukraine, 2011-2019 - Vice-Rector for Scientific and Innovative Activities of KNUTD. Since 2020 - Director of the Educational and Scientific Institute of Power Engineering, Automation and Energy Saving of NUBiP of Ukraine. V. V. Kaplun is one of the founders of the scientific direction and developer of unique technologies for controlling temperature regimes in electrical installations based on shape memory alloys. For the first time, the technologies for producing smart alloys were theoretically substantiated and developed, the characteristics of which exceed world analogues. The products have been implemented in more than 300 enterprises of the energy complex of Ukraine (Kyiv Cable Networks, Zaporizhzhia NPP, Kyivoblenergo, Kharkiv City Electric Networks, Ukrhydronergo, Vinnytsiaoblenergo, Cherkasioblenergo, etc.), Canada (energy company Ontario Hydro). He proposed new theoretical approaches to creating autonomous electromechanical complexes (generator-motor) with compensated asynchronous machines, which provided a significant increase in the energy efficiency of electrical engineering complexes of this class and made it possible to create technological platforms for autonomous power supply systems, which have been implemented in over 140 projects, including 22 facilities of NPP Ukrenergo, Darnytsia, Mostobud PJSC, Eastern Coal Company LLC, the National Space Agency of…
subject: Статті
  topic: section
rights: Copyright (c) 2025
date: 2025-09-08
publication date: 2025-09-08
doi: 10.31548/

Identification of rodents locations in fields for organization of protective measures in agronomy
type: item
description: One of the main problems of the agricultural sector of Ukraine is the reduction of yields due to the impact of pests, in particular mouse-like rodents. According to experts, in Ukraine, annual crop losses from rodents can be up to 20% depending on the level of the pest population. Accordingly, damage to grain crops due to rodent activity in 2020 was estimated at over 1.2 million tons, which in financial terms is more than 400 million hryvnias (according to the Ministry of Agrarian Policy and Food of Ukraine). The results of the article are the preparation and analysis of data from monitoring the terrain relief to identify mounds created by rodents. Microrelief analysis and construction of its DBSCAN model using synthetic LiDAR data, clustering of anomalous elevations by the method and saving the results for further analysis using the R programming language. Key words: fields, rodents, burrow identification, terrain, UAV, LiDAR, data analysis, machine learning, R language
subject: Статті
  topic: section
creator: N. Kiktev
creator: D. Hradoboiev
creator: O. Opryshko
creator: A. Komarnytska
creator: D. Melnyk
rights: Copyright (c) 2025 Energy and Automation
date: 2025-08-28
publication date: 2025-08-28
starting page: 158
ending page: 172
doi: 10.31548/energiya2(78).2025.158

Influence of the amount of loaded substrate on the energy efficiency of biogas production
type: item
description: Today, humanity's need for energy resources increases annually. The high cost of raw materials (oil, gas, fuel) leads to the need to search for alternative energy sources. Today, the fermentation of organic agricultural waste in biogas plants is one of the most environmentally friendly and economically advantageous solutions for obtaining energy from waste in the form of biogas. Along with this, a side effect of fermentation of organic waste is the production of valuable environmentally friendly fertilizers. However, the formation of biogas is a complex technological process, since in the process of methanogenesis it is necessary to maintain artificially created microclimate parameters. The influence of external factors such as temperature, acidity level pH, humidity, the presence of chemicals in the substrate can create negative consequences for the methane formation process, up to a possible complete loss of the loaded substrate in the biogas reactor. In order to avoid such negative situations, very strict requirements are established for the technological processes of biogas formation. Domestic and foreign scientists theoretically and experimentally establish optimal conditions for the methane formation process. Among them, the greatest attention is paid to maintaining the acidity level and maintaining the temperature according to the conditions of the technological process of biogas formation. According to the conditions of the technological process, biogas formation occurs in three temperature modes: psychrophilic, mesophilic and thermophilic, for which certain limits of temperature fluctuations are established. The greatest temperature differences occur during the loading of a new substrate. In order to avoid the occurrence of a critical temperature difference during loading and unloading processes, the condition of thermal equilibrium in the methane tank was considered. Based on theoretical calculations, the ratio between the mass of the substrate present in …
subject: Статті
  topic: section
creator: М. О. Spodoba
creator: О. О. Spodoba
rights: Copyright (c) 2025
date: 2025-06-28
publication date: 2025-06-28
starting page: 150
ending page: 157
doi: 10.31548/energiya2(78).2025.150

Role of sustainable aviation biofuels in the decarbonisation of aviation sector
type: item
description: Renewable energy, in particular bioenergy, makes a significant contribution to replacing fossil fuels and reducing greenhouse gas emissions. This is in line with the current challenge at the global level – the decarbonization of all sectors of the economy, including energy and transport. Due to the widespread use of renewable energy sources, significant progress has already been made in the decarbonization of the heat and electricity production sectors. At the same time, transport lags significantly behind these two sectors in introducing renewable energy carriers. Among other things, this is on account of the objective difficulty of electrifying the transport sector, and this especially applies to aviation and water transport. This determines an increased role of biofuels in the decarbonization of transport. Today, the contribution of aviation to the global greenhouse gas emissions does not exceed 3%. However, given the rapid development of this sector and the growth in fuel consumption in it, this contribution can increase significantly. In view of this, the International Air Transport Association and the International Civil Aviation Organization have set a goal of achieving carbon neutrality in aviation by 2050. It is important that in the implementation of this ambitious goal, 65% is allocated to the consumption of sustainable aviation fuels. In a general sense, sustainable aviation fuels are biofuels and synthetic fuels that can provide a high level of reduction in carbon dioxide emissions compared to the use of fossil fuels. The European Union also pays considerable attention to the issue of decarbonization of aviation, as evidenced by the adoption of a special ReFuelEU Aviation Regulation in 2023. This Regulation sets mandatory targets for the share of sustainable aviation fuels at all the EU airports and provides a more detailed definition of sustainable aviation fuels. The aim of the work is to identify the most promising types of sustainable aviation biofu…
subject: Статті
  topic: section
creator: Т. Zheliezna
rights: Copyright (c) 2025 Energy and Automation
date: 2025-08-28
publication date: 2025-08-28
starting page: 137
ending page: 149
doi: 10.31548/energiya2(78).2025.137

Use of "green" hydrogen for the production of synthetic renewable methane in Ukraine
type: item
description: One of the directions of development of renewable energy sources is obtaining synthetic renewable methane as a substitute for scarce natural gas, which is relevant for our country. The object of this study is renewable "green" hydrogen, which is an integral component for the production of synthetic renewable methane. The purpose of the work is to review the world experience in developing technologies for the production of "green" hydrogen to obtain synthetic renewable methane and to identify promising ways of implementing these technologies in Ukraine. The article provides a current review of technologies for the production of "green" hydrogen by means of water electrolysis using renewable energy sources (solar, wind). The research methods include the study and analysis of literary and other data, in particular, a comparative analysis of various technologies for the production of "green" hydrogen, their advantages and disadvantages, an analysis of the influence of individual parameters on these technologies, as well as their economic characteristics and application possibilities for the production of synthetic renewable methane. Despite the fact that "green" hydrogen has numerous advantages, most methods of its production are not efficient and are expensive. This is due to the relatively high price of electricity from renewable sources for its production, as well as the limitation of the number of hours of full load operation of electrolysis plants per year. In Ukraine, work on the implementation of projects for the production of "green" hydrogen has begun. The paper provides forecast estimates of the cost of hydrogen production at these plants. As shown by preliminary economic calculations of the production of "green" hydrogen and synthetic renewable methane, such production is currently not economically feasible for Ukraine. However, an analysis of the forecast of world prices for "green" hydrogen allows us to conclude that their steady trend of decline is expecte…
subject: Статті
  topic: section
creator: T. Suprun
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 125
ending page: 136
doi: 10.31548/energiya2(78).2025.125

Hybrid control strategies for multi-robot systems: enhancing coordination, communication, and adaptability
type: item
description: Multi-robot systems have garnered substantial interest in industrial automation, search and rescue operations, and space exploration due to their capacity to execute complex tasks with enhanced efficiency and robustness. Effective coordination among multiple autonomous agents is crucial for optimizing task execution, minimizing resource utilization, and ensuring operational reliability. However, key challenges such as dynamic task allocation, collision avoidance, communication constraints, and adaptability to environmental changes persist. This study presents a novel hybrid approach to multi-robot task coordination, integrating swarm intelligence principles with reinforcement learning techniques to enhance decision-making and adaptability in dynamic environments. The proposed methodology employs a hybrid algorithm that synergizes swarm intelligence-based heuristics with reinforcement learning frameworks to achieve optimal task allocation and path planning. The system is implemented in a simulated multi-robot environment, where robots operate under predefined task objectives and varying environmental conditions. The evaluation framework encompasses a series of performance metrics, including task completion time, energy efficiency, inter-robot communication overhead, and system robustness against dynamic perturbations. Comparative analysis is conducted against conventional heuristic and deterministic approaches to validate the effectiveness of the proposed coordination model. The experimental modeling evaluation reveals that the proposed coordination framework significantly enhances task execution efficiency by minimizing redundant movements and optimizing resource allocation. Performance improvements can be measured in reduced task completion time (by an average of X%), lower energy consumption (by Y%), and improved adaptability to unforeseen obstacles. Additionally, the hybrid approach demonstrates superior resilience in dynamic environments, maintaining stable coor…
subject: Статті
  topic: section
creator: V. A. Nazarenko
creator: Y. O. Romasevych
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 106
ending page: 124
doi: 10.31548/energiya2(78).2025.106

Presentation of knowledge in the production of entomophages
type: item
description: The article is devoted to the issue of knowledge representation in the production of entomophages based on the use of ontologies. The aim of the study is to develop an ontological knowledge base in entomophages production. The object of the research is knowledge about the processes of managing the production of entomophages. The subject of the research is the digitalization of entomophages production management processes. Research methods – structural synthesis, ontological analysis, synergistic approach, software environment Visual Understanding Environment. The relevance of the indicated research direction is substantiated; well-known works on the application of ontologies are noted, in particular, in the processes of: decision-making support, intelligent control of technological complexes; ontological modeling of a knowledge base for travel organization, creation of an ontological glossary; development of a dictionary and ontology for modeling insect natural history data, etc. An ontological knowledge base in the production of the entomophages Habrobracon hebetor has been developed. The structure of the knowledge base contains: classes "Human actions in production management processes", "Quality control of entomological products", "Technological processes", "Formalization of knowledge regarding production processes", "Precedentes", "Decision support", "Ensuring the quality of entomological products"; concepts and built-in ontologies "Processes of the production of entomophage Habrobracon hebetor", "Thesaurus of intellectual support for decision-making in the production of entomophages". The results of the study make it possible to increase the efficiency of the management processes of complex biotechnical production due to the digitalization of knowledge, the growth of the level of competence of biotechnologists. Key words: knowledge base, entomophages production, ontologies, decision support
subject: Статті
  topic: section
creator: I. Chernova
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 96
ending page: 105
doi: 10.31548/energiya2(78).2025.096

Research on the energy efficiency of the anaerobic fermentation process of animal waste
type: item
description: Analysis of the problem of energy supply of agricultural production shows that the existing difficulties in the field are caused by human violation of the biological law of bioenergetic orientation of living systems, according to which all components of living nature are energy-saving. At the same time, the effect that has been provided so far by using a certain amount of energy carriers can be obtained with a smaller amount of them, if additional measures are taken to save energy and use non-traditional energy sources. Due to the depletion of fossil fuel reserves and the constant deepening of the energy and environmental crisis, considerable attention is paid to renewable and non-traditional energy sources. However, despite the fact that this energy itself is free, the equipment necessary for utilization and conversion is quite expensive. The main advantage of renewable and non-traditional types of energy is the inexhaustibility of the latter. The fact that farm animals poorly absorb the energy of plant feeds, and that more than half of this energy is used unproductively, allows us to consider manure and droppings not only as a valuable raw material for organic fertilizers and a protein supplement to animal feed, but also as a powerful renewable source of energy in agricultural production. As a heat and energy raw material, animal manure can be used to produce combustible gas, which consists of 2/3 of methane - one of the most valuable and high-calorie types of fuel. And although modern technological schemes for biogas production are still inferior to traditional natural sources in terms of economic indicators, a significant number of biogas plants are operating in most foreign countries, which provide up to 20-40% of energy needs in agriculture. An effective way to utilize livestock manure is anaerobic fermentation in biogas plants. During fermentation, animal excrement is largely disinfected, pathogenic microflora dies, weed seeds lose their germination, and in a…
subject: Статті
  topic: section
creator: A. Chmil
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 83
ending page: 95
doi: 10.31548/energiya2(78).2025.083

Satellite monitoring in the implementation of the agricultural development concept in an urbanized environment
type: item
description: Cities, due to their urbanization and human activity, create heat islands that have the potential for agricultural production. Heat emissions contribute to the extension of the growing season, enabling the cultivation of technical crops even on contaminated soils, which are important for bioenergy and biogas production. The technologies for monitoring heat islands using satellites are discussed, which allow the identification of areas with the highest heat emissions. Research in Kyiv showed that the most stable heat emissions occur in the spring-autumn period, when the temperature ranges from 5 to 25°C, which is optimal for plant development. Satellite monitoring technologies not only detect thermal anomalies but also identify optimal locations for green planting that help reduce the negative impact of the urban environment on vegetation. The developed software solution based on satellite data helps track changes in surface temperature and their effect on vegetation, enabling better planning of agricultural production in urban areas. The example of the Lavina shopping and entertainment center in Kyiv revealed stable heat emissions that can be used for the development of urban agriculture. Proposed crops adapted to these conditions can optimize the use of heat for plant cultivation and provide ecological benefits for the city. The conclusions confirm the significant potential of heat islands for the development of urban agriculture, which contributes to improving ecology in megacities and providing local residents with high-quality products. Key words: satellites, heat islands, urban farming
subject: Статті
  topic: section
creator: O. Opryshko
creator: Y. Tsytsiurskyi
creator: S. Omelchenko
creator: O. Hluschenko
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 67
ending page: 82
doi: 10.31548/energiya2(78).2025.067

Reversible control of series-excitated DC motors
type: item
description: Series-excited DC motors are used in electric drives of mobile machines, electric vehicles and machines that operate with significant overloads. These motors have a nonlinear magnetization curve. Therefore, it is impossible to analytically describe the mechanical and electromechanical characteristics. For this, the motor magnetization curve (transition characteristic) is experimentally determined. The motor is reversed through the anti-switching braking mode. into the anti-switching braking mode, which necessitates the inclusion of an additional braking resistor in the armature circuit. After anti-switching braking, the motor begins to rotate in the other direction. In this case, it is necessary to limit the starting current of the motor by introducing additional resistances. The purpose of the study is to develop schemes for reversing control of series-excited DC motors and methods for analytical determination of starting and braking resistances. Currently, the most common in counter-switching braking schemes is control in the EMF function, and when starting the motor – in the current function. A scheme for reversing control of a series-excited DC motor with counter-switching braking in the EMF function and engine starting in the time function has been developed. A scheme is also presented that provides only engine braking in the EMF function. A method for analytical determination of starting resistances for braking resistances for the developed control schemes has been developed. Key words: series-excited DC motor, reversing, counter-switching braking, motor starting, starting resistors
subject: Статті
  topic: section
creator: O. Sinyavsky
creator: V. Savchenko
creator: N. Prudnikova
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 58
ending page: 66
doi: 10.31548/energiya2(78).2025.058

Modern approaches to processing technological information in industrial automation systems based on knowledge bases
type: item
description: This article is dedicated to the analysis of existing approaches and the synthesis of novel methods for processing technological information in industrial automation systems in the context of modeling digital twins of various interconnected sections and systems. The aim of the research is to analyze the challenges of knowledge base modeling and improve the efficiency of information processing by considering heterogeneous data. The study focuses on the automation systems of three sugar production sections: diffusion, defecosaturation, and evaporation. As part of the research, a general associative map was developed, enabling the structured organization of industrial automation systems, establishing relationships, and enriching data with context for further processing. A semantic knowledge base model was designed to define data influence zones and generate a data schema that accounts for data heterogeneity. The developed semantic model allows for rapid contextual and criteria-based searches, analysis of subsystem interactions, and the calculation of similarity levels in data and anomalies, which is crucial for mathematical modeling and the synthesis of multi-layered or cognitive digital twins of processes. Based on the semantic model, a production section visualization model was created, integrating technological documentation, SCADA system data, industrial data archives, external sources, and knowledge bases via the web using meta-knowledge. Using the Clojure programming language, search queries were generated to explore influence zones, context and mentions, as well as to calculate knowledge similarity. This approach enables the integration of multiple system models without significant additional costs, ultimately defining the structure of the digital twin while accounting for potential changes in knowledge systems. This ensures a systematic and efficient approach to data collection, processing, storage, and integration with other technological systems. An additiona…
subject: Статті
  topic: section
creator: R. Shevchenko
creator: Н. М. Луцька
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 30
ending page: 57
doi: 10.31548/energiya2(78).2025.030

Ways to improve the energy efficiency of pumping units of water supply systems taking into account the dynamics of the increase in the cost of electricity
type: item
description: The article is devoted to the urgent problem of increasing the energy efficiency of pumping units of water supply systems of the housing and communal sector. The purpose of the study is to find ways to reduce the electric energy consumption of pumping units by introducing electric motors of an increased energy efficiency class. To achieve the goal, the following tasks were solved: assessment of the technical condition and potential of the total energy consumption of pumping units; assessment of the components of the water supply tariff structure in Ukraine; testing of asynchronous motors of different energy efficiency classes powered by a frequency converter to determine the energy and functional properties; assessment of the level of energy saving of a pumping unit using the example of the introduction of an IE5 class motor. Special test methods were used to determine losses and assess the efficiency of AC motors powered by a converter. Functional dependences of torque and current on the speed of rotation and energy indicators on the load level for asynchronous motors of different energy efficiency classes were established. Two categories of parameters that affect the reliability of pumping units when using asynchronous motors of different energy efficiency classes are determined, namely: maximum torque when regulating the supply voltage frequency; thermal limit curves during overloads. An express assessment of the effectiveness of investments in replacing motors with low energy efficiency is carried out. Ways are proposed to curb the growth of tariffs, among which the most predictable and economically feasible is the implementation of the frequency converter - IE5 class motor - pump system. When replacing an AIR type motor with an IE5 class motor, the expected reduction in electricity costs for a 2.2 kW motor is 15.48% with an investment payback period of 1.1 years. The established patterns can be used within the framework of a comprehensive approach to applying e…
subject: Статті
  topic: section
creator: M. Zablodsky
creator: V. Surzhyk
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 13
ending page: 29
doi: 10.31548/energiya2(78).2025.013

Electrotechnological methods for improving the quality of vegetable oils
type: item
description: The methods of extracting oil from plant materials differ somewhat depending on the nature of the raw material and the content of the oil itself (oil). That is why, for many centuries, various methods of extracting oil from plant raw materials have been used: treatment of specially prepared oil raw materials with organic solvents, settling, centrifugation, distillation and filtration. The main methods today are: mechanical extraction, chemical extraction, supercritical fluid extraction, steam distillation and vacuuming. Recent studies have established that the least energy-consuming and promising are electrophysical methods of processing raw materials, based on the use of electromagnetic energy. In particular, the application and effectiveness of electrophysical methods of processing oil raw materials in improving the quality of purification and productivity of vegetable oils production are substantiated. Key words: vegetable oils, efficiency improvement, electrophysical purification methods
subject: Статті
  topic: section
creator: L. Chervinskyy
creator: I. Radko
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
starting page: 5
ending page: 12
doi: 10.31548/energiya2(78).2025.005

Chervinsky Leonid Stepanovych (to the 75th anniversary of his birth)
type: item
description: Leonid Stepanovych Chervinsky was born on March 16, 1950. In 1977, he graduated with honors from the Ukrainian Agricultural Academy with a degree in “Agricultural Electrification”, received the qualification of an electrical engineer and was left to work at the academy at the Department of the Application of Electricity in Agriculture, where he has been working for 48 years.
subject: Статті
  topic: section
rights: Copyright (c) 2025 Energy and Automation
date: 2025-06-26
publication date: 2025-06-26
doi: 10.31548/

Increasing biogas yield in biogas plants by adding whey to cattle manure
type: item
description: Currently, the problem of replacing natural gas with biomethane based on the widespread use of biogas plants, which will ensure the production of biogas, heat, electricity and high-quality fertilizers by anaerobic digestion of organic waste, is acute. One of the directions of increasing biogas yield is the intensification of fermentation of livestock waste. The aim of the article is to increase biogas yield in biogas plants by adding whey to cattle manure. To achieve this goal, the following tasks were solved: the biogas yield was experimentally determined when cattle manure was periodically loaded into the methane tank with the addition of whey; based on the experimental data obtained, the unimodality interval for the maximum biogas yield was found in the quasi-continuous mode of loading the methane tank. The process of methanogenesis of cattle manure with the addition of whey in laboratory mini-reactors of biogas plants of the Poznań University of Life Sciences was considered. Using the dichotomy method, the optimal volumes of whey addition to the substrate were substantiated, which ensure the maximum increase in biogas (biomethane) yield. Key words: mini-reactors, biogas plants, methanogenesis research, cattle manure, whey
subject: Статті
  topic: section
creator: K. Witaszek
creator: S. Shvorov
creator: O. Opryshko
creator: A. Dudnyk
creator: K. Sydorovych
creator: V. Yakushov
rights: Copyright (c) 2025 Energy and Automation
date: 2025-03-28
publication date: 2025-03-28
starting page: 5
ending page: 16
doi: 10.31548/energiya1(77).2025.005

Stability research of parametric systems with partially fixed boundary conditions
type: item
description: General formulations of practical stability problems for nonlinear systems of differential equations dependent on parameters are formulated in the presence of additional boundary conditions that arise during the design of linear resonance accelerators, in particular, when coordinating different sections of the accelerator. Common types of boundary conditions are given in the form of additional conditions for the state vector at the initial and final moments of time, and their linear combination. Within the framework of the formulated problems, a linear inhomogeneous system with disturbances in the presence of boundary conditions on part of the coordinates of the state vector was investigated. Using the methods of practical stability of parametric systems, criteria for checking the corresponding stability qualities under partial restrictions on the vector of initial conditions and constantly acting disturbances were obtained. Linear and nonlinear dynamic constraints on the phase coordinates of the system under study are considered; additional conditions are given in specific structures such as ellipsoids. To record the achievable estimates, the general solution of the parametric system is presented in Cauchy form and the corresponding extremal problem is solved. For the case of nonlinear constraints on the state vector in dynamics, a preliminary approximation of a closed convex set by tangent hyperplanes is performed. As a special case, the stability region of a linear parametric system is estimated in the presence of partially fixed initial conditions and dynamic phase constraints of linear and nonlinear type. It is noted that such problems arise, for example, if it is known that the particles have a small spread in radial velocities. The problems of estimating the stability region for linear parametric systems with additional perturbations in the presence of boundary conditions on part of the state vector and partially fixed initial conditions characterizing the re…
subject: Статті
  topic: section
creator: L. Pantalienko
rights: Copyright (c) 2025 Energy and Automation
date: 2025-03-28
publication date: 2025-03-28
starting page: 99
ending page: 106
doi: 10.31548/energiya1(77).2025.099