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Browsing by Author "Tryputen, Mykola"

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    Adaptation of a Predicate Model in Control Problems of Nonstationary Static Objects
    (Український державний університет науки і технологій, ННІ «Дніпровський металургійний інститут», ІВК ≪Системні технології≫, Дніпро, 2025) Tryputen, Mykola; Kuznetsov, Vitalii V.; Verovkin, Oleksandr; Ivliev, Vitalii
    ENG: When controlling static objects at the optimization level, pattern recognition methods are used that allow partitioning the factor space into elementary subdomains in the form of n-dimensional hyperparallelepipeds. One of the main elements of the control structure for this approach to control is the adaptation algorithm, that makes it possible to refine the description of a static object under nonstationarity conditions. Repeated use of the adaptation algorithm to refine the model leads to an unjustified complication of its logical structure and the accumulation of information that has lost its relevance. The paper proposes a method for minimizing the description of images of technological situations, that makes it possible to overcome the indicated disadvantages. The method is based on the property of invariance of the number of parameters defining the hyperparallelepiped to the size of the described area in the factor space. This made it possible to identify significant boundary sub-areas in the description of the image of technological situations and, by their subsequent combination in the direction of the feature axes, to select a description with a minimum number of sub-areas. When performing these operations, “outdated” information is removed and the logical structure of a static control object is simplified as much as possible. The paper shows the possibility of implementing an algorithm for minimizing the description of images on the basis of α-algebra, that makes it possible to integrate its control structures using relational data models. The effectiveness of the proposed algorithm is confirmed by computational experiments in the control of the process of lump crushing for the conditions of a mining and processing plant.
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    Adaptation of a Predicate Model in Control Problems of Nonstationary Static Objects
    (Український державний університет науки і технологій, ННІ ≪Дніпровський металургійний інститут≫, ІВК ≪Системні технології≫, Дніпро, 2025) Tryputen, Mykola; Kuznetsov, Vitalii V.; Yvanova Lyudmyla Kh.
    ENG: When controlling static objects at the optimization level, pattern recognition methods are used that allow partitioning the factor space into elementary subdomains in the form of n-dimensional hyperparallelepipeds. One of the main elements of the control structure for this approach to control is the adaptation algorithm, that makes it possible to refine the description of a static object under nonstationarity conditions. Repeated use of the adaptation algorithm to refine the model leads to an unjustified complication of its logical structure and the accumulation of information that has lost its relevance. The paper proposes a method for minimizing the description of images of technological situations, that makes it possible to overcome the indicated disadvantages. The method is based on the property of invariance of the number of parameters defining the hyperparallelepiped to the size of the described area in the factor space. This made it possible to identify significant boundary sub-areas in the description of the image of technological situations and, by their subsequent combination in the direction of the feature axes, to select a description with a minimum number of sub-areas. When performing these operations, “outdated” information is removed and the logical structure of a static control object is simplified as much as possible. The paper shows the possibility of implementing an algorithm for minimizing the description of images on the basis of α-algebra, that makes it possible to integrate its control structures using relational data models. The effectiveness of the proposed algorithm is confirmed by computational experiments in the control of the process of lump crushing for the conditions of a mining and processing plant.
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    Analysis and Design of the Interval Optimal Electromechanical Systems
    (ScientificWorld-NetAkhatAV, Karlsruhe, Germany, 2025) Voliansky, Roman; Kuznetsov, Vitaliy V.; Metelenko, Natalia; Kovalenko, Viktor; Spirintsev, Dmytro V.; Babyak, Mykola O.; Tryputen, Mykola; Tkalenko, Oleksandr; Halushko, Dmytro
    ENG: The monograph has been prepared as part of comprehensive scientific research aimed at improving energy efficiency, digitalization, and the development of intelligent control systems. The materials presented reflect the results of many years of interdisciplinary research carried out with the participation of specialists from various scientific schools and universities. They provide a holistic understanding of modern trends in electric drive system control and form a scientific and practical basis for introducing innovative solutions in industry and transport. The discussed concepts of optimization, robust control, and the integration of renewable energy sources are closely linked to the transition to sustainable energy, automation of production processes, and infrastructure digitalization. Special attention is given to interaction with international research programs, which allows the use of advanced experience from Germany, Japan, the USA, and other countries in the field of digital twins, the industrial Internet of Things (Industrial IoT), andcyber-physical control systems.
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    Assessment of Human-Operator’s Influence on Technical and Economic Indicators of the Excavator Production Cycle
    (Dnipro University of Technology, Dnipro, 2025) Tytiuk, Valerii; Mrachkovskyi, D.; Chornyi, Oleksii; Kuznetsov, Vitalii V.; Tryputen, Mykola; Sivyakova, Galina
    ENG: Purpose. Determining the influence of the parameters of the human-operator transfer function on the duration of the technological operation and the cyclic energy consumption of the electromechanical system of a straight shovel excavator equipped with electric drives of various types in order to further improve the human-machine control system of open-pit excavators by compensating for the inertia and nonlinearity of the human-operator characteristics. Methodology. Mathematical modeling of the human-machine control system of an excavator equipped with electric drives of various types, taking into account the dynamic characteristics of the human-operator, establishing regression dependencies of technical and economic indicators of the excavator on the parameters of the equivalent transfer function of the human-operator using design of experiments. Findings. The mathematical models of closed-loop control systems for the position of the bucket of a “straight shovel” excavator with an electric drive according to the Leonard system and a thyristor converter-motor electric drive have been implemented, which differ in that their structure takes into account the nonlinearity and inertia of the human operator and its influence on the performance of the human-machine system. Using the methods of the theory of experiment planning, we obtained regression dependences of the duration of the technological cycle and cycle energy consumption on the values of the time constant and the delay constant, which characterize the current state of the human-operator. The obtained regression models made it possible to evaluate the importance of the influence of various psycho-physiological factors of the human-operator on the technical and economic indicators of the excavator production cycle, which can serve as the basis for further optimization of the operation of mining excavators. Originality. For the first time, mathematical models of the electromechanical system of an excavator according to the “straight shovel” scheme are proposed, including models of electric drives of the main mechanisms, a model of the mechanical part of the excavator and a model of a human-operator, which made it possible to increase the accuracy of determining the energy consumption of the excavator and the time of the operating cycle. The regression models of technical and economic indicators of the excavator production cycle on the delay and inertia of the human-operator were obtained. It was found that the more influential factor is the transportation delay. Practical value. Mathematical models of an excavator with an electric drive based on the generator-motor system and an electric drive based on the thyristor converter-motor-motor system have been developed, including a model of the mechanical part of the excavator and a model of a human-operator. Regression models of the dependence of the duration of the excavator production cycle and its energy consumption on the delay and inertia of the human-operator are obtained. The proposed implementation of the human-machine excavator control system creates prerequisites for further increasing the level of automation of mining excavators.
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    Development of a Digital Twin of a DC Motor Using NARX Artificial Neural Networks
    (MDPI, Basel, Switzerland, 2025) Busher, Victor; Kuznetsov, Valeriy; Ciekanowski, Zbigniew; Rojek, Artur; Grudniewski, Tomasz; Druzhinina, Natalya; Kuznetsov, Vitalii V.; Tryputen, Mykola; Hubskyi, Petro V.; Batyrbek, Alibek
    ENG: This study presents the development process of a digital twin for a complex dynamic object using Artificial Neural Networks. A separately excited DC motor is considered as an example, which, despite its well-known electromechanical properties, remains a non-trivial object for neural network modeling. It is shown that describing the motor using a generalized neural network with various configurations does not yield satisfactory results. The optimal solution was based on a separation into two distinct nonlinear autoregressive with exogenous inputs (NARX) artificial neural networks with cross-connections for the two main machine variables: one for modeling the armature current with exogenous inputs of voltage and armature speed, and another for modeling the angular speed with inputs of voltage and armature current. Both neural networks are characterized by a relatively small number of neurons in the hidden layer and a time delay of no more than 3 time steps. This solution, consistent with the physical understanding of the motor as an object where electromagnetic energy is converted into thermal and mechanical energy (and vice versa), allows the model to be calibrated for the ideal no-load mode and subsequently account for the influence of torque loads of various natures and changes in the control object parameters over a wide range. The study demonstrates that even for modeling an object such as a DC electric drive with cascaded control, reducing errors at the boundaries of the known operating range requires generating test signals covering approximately 120% of the nominal speed range and 250–400% of the nominal current. Analysis of various test signals revealed that training with a sequence of step changes and linear variations across the entire operating range of armature current and speed provides higher accuracy compared to training with random or uniform signals. Furthermore, to ensure the neural network model’s functionality under varying load torque, a mechanical load observer was developed, and a model architecture incorporating an additional input for disturbance was proposed. The SEDCM_NARX_LOAD neural network model demonstrates a theoretically justified response to load application, although dynamic and static errors arise. In the experiment, the current error was 7.4%, and the speed error was 0.5%. The practical significance of the research lies in the potential use of the proposed model for simulating dynamic and static operational modes of electromechanical systems, tuning controllers, and testing control strategies without employing a physical motor.
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    Development of a Method of Calculating the Temperature of a Survey Assembly When Preparing a Train Dispatch
    (Львовский политехнический национальный университет, Львів, 2020) Ustymenko, Dmytro V.; Kuznetsov, Vitaliy; Marenych, Oksana L.; Kovzel, Maksim; Mukha, Andrii M.; Sinkevych, Oleksiy; Tryputen, Mykola; Al Said Ahmad, Mohammad Ahmad Diab
    ENG: The features of the thermal state of the current collection unit «contact wire – contact insert of the current collector» in the conditions of preparation of electric rolling stock for the journey are considered. As part of the study, a methodology has been developed for estimating the heating temperature of the power sliding contact zone in the conditions of train preparation for journey. Application of the method will help to reduce the number of «burnouts» of the contact wire due to the exact selection of the heating/cooling time of the train for a certain heating/conditioning current when preparing the electric rolling stock for the journey. It was established that the cause of the «burns» of the contact wire in the parking lots when preparing the train dispatch is the excess of the permissible temperature of the power sliding contact as a result of the prolonged action of the heating/conditioning current. The standard approach for determining the duration of heating is based on the average values of the loads on the system and therefore does not take into account some factors, for example, the state of the contact wire, the state of the contact insert of the current collector, the number of cars in the train, and so on. The proposed technique is based on the classical theory of electrical contact and the theory of heating a homogeneous body, which makes it possible to accurately assess the thermal state of the power sliding contact and convenient enough for use in operating conditions. The results of the work are of practical value, since the technology of preparing a train for dispatch can be supplemented by calculating the contact temperature «contact wire element – contact insert element» in accordance with the proposed methodology. This will allow for a specific train in specific conditions to apply a set of measures to prevent «burnout» of the contact wire in the event of a possible temperature exceeding the permissible value.
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    Enhancing Power Quality within the Context of Industrial Enterprises: Strategies for Improvement
    (ScientificWorld-NetAkhatAV, Karlsruhe, Germany, 2023) Tryputen, Mykola; Kuznetsov, Vitaliy V.; Nikolenko, Anatoliy V.
    ENG: The paper analyzes negative impact of poor-quality electricity on the performance of electrical installations. Particular attention is paid to the ways to improve power quality under the conditions of industrial enterprises. Use of “individual” LC-filters to protect extra important electric drives; use of “group” devices to compensate negative effect of noisy electricity at a workshop level (power active rectifiers are meant with their potential integration into the available converters for the controlled electric drives); and to inhibit voltage distortions within the areas of their origination (i.e. the mains protection against the root cause) are possible means to solve the problems.
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    The Generalized Chaotic System in the Hyper-Complex Form and Its Transformations
    (Springer, Cham, 2022) Voliansky, Roman; Volianska, Nina; Kuznetsov, Vitaliy V.; Tryputen, Mykola; Kuznetsova, Alisa; Tryputen, Maksym
    ENG: The paper deals with the development of the mathematical backgrounds to design the novel chaotic systems by transforming existent ones. These backgrounds are based on using well-known shift, rotation, and scale transformations and we offer using hyper-complex numbers to simplify these transformations and represent the transformed chaotic system by using the one 1st order ordinary differential equation. In such form all well known, newly discovered and unknown chaotic systems have the similar mathematical models that are differs only by used nonlinear function of hyper complex variable in the right hand expression. That is why the consideration chaotic system dynamic in the hyper-complex domain allows us to simplify initial system definition as well without applying any transformations. This fact simplifies mathematical definition of chaotic systems and their modeling and simulation. The right-hand expression of the transformed equation in this case are defined as the combination of transformation hyper-complex numbers and source system nonlinearity which is given in the hyper-complex domain. We offer to use variable transformation factors to improve the performance of the considered chaotic system. Since the above-mentioned variable factors can be produced by other chaotic systems, we suggest designing the novel chaotic system by combining existed ones with the linear transformations. As an example, we consider the transformation of the well-known Lorenz system and show the differences between the source system and target one.
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    Improving the Reliability of Simulating the Operation of an Induction Motor in Solving the Technical and Economic Problem
    (Springer, Cham, 2020) Tryputen, Mykola; Kuznetsov, Vitaliy; Kuznetsova, Alisa; Tryputen, Maksym; Kuznetsova, Yevheniia; Serdiuk, Tetiana M.
    ENG: The article is devoted to the control of the statistical laws of linear voltages reproduced on a computer during computational studies on an energy-economic model when solving the problem of choosing protection tools for induction motors operating in workshop electric networks of industrial enterprises with low-quality electricity. Simultaneous and continuous estimation of average values, variances, autocorrelation and cross-correlation functions of harmonics of linear voltages is based on the adaptive approach. The article presents mathematical expressions for correcting the values of statistical quantities with the accumulation of information and proposes structural schemes for a comprehensive analysis of the results of reproduction of random variables and functions on a computer. The results of checking the values of the average values and dispersions of six harmonics of simulated linear voltages supplying an induction motor with a power of 7.5 kW are shown for the conditions of the rolling shop No. 1 of Dneprospetsstal LLC.
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    Increasing the Reliability of Simulation of Asynchronous Motor Operation Based on an Adaptive Approach
    (Український державний університет науки і технологій, ННІ «Дніпровський металургійний інститут», ІВК ≪Системні технології≫, Дніпро, 2025) Tryputen, Mykola; Kuznetsov, Vitalii V.; Verovkin, Oleksandr; Koliadenko, Oleksandr
    ENG: This research focuses on improving the reliability of simulating the operation of induction motors when solving technical and economic problems related to the selection of protection systems for electric drives operating in industrial power networks with poor power quality. The presence of voltage asymmetry, harmonic distortions, and other power quality issues in workshop networks significantly affects the performance and service life of induction motors, increasing energy losses and maintenance costs. The article proposes a power and economic model that allows conducting computational experiments to determine the optimal solution for improving power supply quality. A key element of the model is the system for generating and controlling linear voltage parameters, which ensures compliance of the simulated signals with their statistical regularities observed in real industrial conditions. The research introduces adaptive algorithms for the continuous and simultaneous assessment of average values, variances, autocorrelation, and cross-correlation functions of voltage harmonics. Mathematical expressions for their correction during the accumulation of information are presented. Structural schemes of control systems for both analog and digital modeling of voltage processes are proposed, allowing for real-time monitoring of the reliability of generated data. The simulation results were verified through statistical hypothesis testing for the average values and variances of the generated voltage harmonics. Experimental studies were carried out in the rolling shop No. 1 of Dneprospetsstal LLC, where significant voltage distortions are caused by the operation of powerful semiconductor converters. The results confirmed the adequacy of the proposed modeling approach and its applicability for making economically sound decisions regarding the choice of technical solutions for voltage quality improvement. This work contributes to the field of energy efficiency in industrial enterprises by providing a methodological basis for the reliable simulation of induction motor operation in the presence of distorted power supply conditions. The proposed approach allows reducing the cost and duration of experimental studies by replacing them with validated computational modeling.
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    Investigation of the Bifurcation Properties of the Dynamics of a Biological Population Based on a Logistic Model
    (Springer, Cham, 2022) Busher, Victor; Chornyi, Oleksii; Kuzenkov, Oleksandr; Tryputen, Mykola; Kuznetsov, Vitaliy V.; Rumiantsev, Vladislav
    ENG: The paper substantiates the structure of the model that describes the dynamics of subpopulations in the general ecological niche. Based on the theory of bifurcations, the results of experimental studies of the effect of excess electromagnetic radiation of worn out or repaired electromechanical equipment on biological objects are analyzed. Analysis of phenotypic changes in the biological test object of Drosophila melanogaster, identified over three generations, based on the bifurcation model, made it possible to identify trends in long-term forecasts, which are in good agreement with the known results of population development in unfavorable conditions.
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    Mathematical Model of a Semiconductor Structure Based on Vanadium Dioxide for the Mode of a Conductive Phase
    (MDPI, Basel, Switzerland, 2025) Kachura, Oleksii V.; Kuznetsov, Valeriy; Tryputen, Mykola; Kuznetsov, Vitalii V.; Kolychev, Sergei V.; Rojek, Artur; Hubskyi, Petro V.
    ENG: This study presents a comprehensive mathematical model of a semiconductor structure based on vanadium dioxide (VO2), specifically in its conductive phase. The model was developed using the finite element method (FEM), enabling detailed simulation of the formation of a conductive channel under the influence of low-frequency alternating voltage (50 Hz). The VO2 structure under investigation exhibits pronounced electric field concentration at the surface, where the field strength reaches approximately 5 × 104 V/m, while maintaining a more uniform distribution of around 2 × 104 V/m within the bulk of the material. The simulation results were validated experimentally using a test circuit. Minor deviations—no greater than 8%—were observed between the simulated and measured current values, attributed to magnetic core saturation and modeling assumptions. A distinctive feature of the model is its ability to incorporate the nonlinear dependencies of VO2’s electrical properties on frequency. Analytical expressions were derived for the magnetic permeability and resistivity of VO2, demonstrating excellent agreement with experimental data. The coefficients of determination (R2) for the frequency dependence of magnetic permeability and resistance were found to be 0.9976 and 0.9999, respectively. The current version of the model focuses exclusively on the conductive phase and does not include the thermally induced metal–insulator phase transition characteristic of VO2. The study confirms that VO2-based structures exhibit high responsiveness and nonlinear switching behavior, making them suitable for applications in electronic surge protection, current limiting, and switching elements. The developed model provides a reliable and physically grounded tool for the design and optimization components based on VO2 in power electronics and protective circuitry.
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    Mathematical Model of Dynamics of Homomorphic Objects
    (Petro Mohyla Black Sea National University, Mykolaiv, 2019) Kuzenkov, Olexandr; Serdiuk, Tetiana M.; Kuznetsova, Alisa; Tryputen, Mykola; Kuznetsov, Vitaliy; Kuznetsova, Yevheniia; Tryputen, Maksym
    ENG: Abstract. The paper concerns topical problem of mathematical modeling of dynamics of heterogeneous groups with a logistic function as a basic one. Joint use of mathematical models of biological systems and computer-based simulation makes it possible to minimize time and save material resources while determining general tendencies of subpopulation progress; and to forecast state of the system as well as possible consequences of artificial intervention in the environment. Among other things, it concerns forecasting of genetic abnormalities. The paper proposes a model of dynamics of progress of a population consisting of n subpopulations. The model is represented in the form of differential equations with transition coefficients within their right sides. The transition coefficients mirror the share of species getting from ith subpopulation to jth one. The proposed system is not Voltairian one since its phase trajectories may cross coordinate axes. It has been proved that the system of differential equations is degenerated in the neighbourhood of equilibrium points. Analysis of the system of differential equations for n=2 has demonstrated a potential for three bifurcations. It has been proved that nine bifurcation types are possible for n=3. Numerical computer-based experiments have shown that the proposed model is stable as for the disturbance of its coefficients, and the obtained characteristics of the degenerated system are close to real ones.
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    Mathematical Model of Subpopulation Dynamics in Case of Different Niches for Subpopulations
    (MECS Press, Hong Kong S.A.R., China, 2026) Kuzenkov, Olexandr; Tryputen, Mykola; Kuznetsov, Vitaliy V.; Huliesha, Olena; Artemchuk, Viktor V.
    ENG: The article presents a model of dynamic processes occurring in non-isolated populations that differ in their habitat and mode of nutrition. The results of theoretical studies carried out on the basis of this model show the decisive influence of the ratio of the coefficients of inter-subpopulation competition on qualitative changes in the behavior of the system and individual subpopulations. This ratio is also the main factor influencing the formation of the dominant subpopulation in the system. It has been shown that the system-wide dynamics of subpopulation processes significantly depends on the reproductive potential of all subpopulations and on the mass fraction of individuals that, according to their phenotypic properties, are related to the parents. In this case, the mass fractions of individuals (transition coefficients) must correspond to the condition of closed system and be in specified intervals. It has been established that subpopulations in real life can exchange descendants, which, in turn, can significantly affect the numerical and qualitative aspects of the dynamics. Using the example of a two-dimensional system, the relationship between the sum of the main elements of the transition coefficient matrix and the mutual dependence of subpopulations, as well as their transition to qualitatively different levels, is shown. The bifurcation properties of the model of subpopulation dynamics with a Lotka–Voltaire type function in basic quality have been studied. An approximate justification of possible bifurcations of the system allows us to evaluate the factors that qualitatively influence the dynamics of the system and develop a number of recommendations to prevent the occurrence of catastrophes and collapses in the system.
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    Model for a Direct Torque Control System of an Alternating Current Electric Drive for Urban Transport Rolling Stock Tasks
    (Springer, Cham, 2022) Stopkin, Vasyl V.; Tryputen, Mykola; Nikolenko, Anatoliy V.; Kuznetsov, Vitaliy V.; Tryputen, Maksym
    ENG: A mathematical model has been developed in the paper of the direct torque control (DTC) system of an alternating current (AC) electric drive for the tasks of the urban electric transport rolling stock, as an alternative to the existing types of frequency control of an induction motor, taking into account its relevance, principles of operation and causes of occurrence. During the research on the mathematical model of direct torque control of an induction motor on the MATLAB platform, its main disadvantages have been revealed, which limit the scope of its application. The main task of the DTC system is to identify the stator flux linkage, which is solved by integration with a certain accumulation of errors. The source of accumulated errors is the inaccuracy when determining the stator active resistance and its change during the induction motor operation. The DTC system is characterized by the disadvantage of torque pulsation occurrence and rotor speed fluctuations at low loads. The main advantage of the DTC system has been determined – high static and dynamic speed accuracy. The results of mathematical modeling and the presented sequence of studies are of practical value in the development and adjustment of complete electric drives with a DTC control system for railway transport mechanisms. New is a technical solution that acts as an alternative to a complex vector control system - this is the use of the DTC system for the tasks of the rolling stock of urban transport.
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    Modeling of Structural Elements of the Energy-Economic Model «Electric Network - Electric Consumer»
    (ScientificWorld-NetAkhatAV, Karlsruhe, Germany, 2024) Tryputen, Mykola; Kuznetsov, Vitalii V.; Kovalenko, Viktor; Artemchuk, Viktor V.; Levchenko, Serhii
    ENG: Early evaluation of the parameters of electric power quality and maintenance of the corresponding operating modes of electric facilities in work environment is the important scientific and practical task. In terms of real operating conditions, electric mains often demonstrate nonsinusoidal mode characterized by the available harmonics of voltage and current. Deterioration of the electric power quality in the electric supply systems for industrial enterprises results in the decreasing reliability and efficiency of the operation of energy consumers, i.e. asynchronous motors (AM). The known methods to reduce negative influence of low-quality electric power on the AM operation differ with their integration costs and expected economic effect. Nevertheless, the available methods for the selection of protective means for asynchronous motors, operating in the electric mains with nonsinusoidal voltage, have no economic substantiation. Moreover, economic losses of an industrial enterprise due to the operation of asynchronous motors in terms of considerable deviation of the power quality values from the standard ones have not been analyzed to the full extent. The chapter of monograph has shown that currently it is expedient to solve a task of the selection of AM protective means basing on the computational studies, which involve a simulation model representing the interaction of company electric main with the power consumers. There are following structural elements of a simulation model: a generator of linear voltages of the company electric main; a nonlinear electromagnetic and thermal model of an asynchronous motor; and a decision-making block. The chapter of monograph demonstrates the ways to increase reliability of the modeling of electric main parameters.
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    On the Feasibility of Choosing Means of an Asynchronous Motor Protection in Industrial Conditions
    (ScientificWorld-NetAkhatAV, Karlsruhe, Germany, 2023) Tryputen, Mykola; Kuznetsov, Vitaliy V.
    ENG: The article is devoted to the urgent problem of choosing the means of protection of asynchronous motors (AM) operating in the shop electric networks of industrial enterprises with low-quality electricity. The well-known energy-economic model of an induction motor is presented in the form of a predicate disjunction, to which we apply the pattern recognition algorithm for making decisions. The main advantage of the predicate model is openness and the possibility of accumulating knowledge about the operating modes of electromechanical equipment. The practical implementation of training, adaptation, minimization of the predicate model and the search on its basis for the best option for protecting an asynchronous motor in high-level algorithmic languages involves the processing of large amounts of data. It is shown that elements of predicate equations can be represented as a relational data model and use operations - algebras for its transformations. The transformation procedures are easily integrated into the information and software structures of the automated enterprise management structure, which use database management systems oriented to relational models.
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    One Approach to Quasi-Optimal Control of Direct Current Motor
    (IEEE (Institute of Electrical and Electronics Engineers), 2019) Tryputen, Mykola; Kuznetsov, Vitaliy; Serdiuk, Tetiana M.; Kuznetsova, Alisa; Tryputen, Maksym; Babyak, Mykola O.
    ENG: The article presents the calculation of the transfer function of the DCM-30-N1-0.2 micromotor DC, obtained a transcendental system of equations for determining the duration of the quasi-optimal control intervals and the dependence of the first control interval on the specified overshoot. The obtained dependence can be used in the engineering methodology for the synthesis of quasi-optimal control and the choice of actuators of the automatic control system.
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    The Urgency of Using Adaptive Observers to Identify the Parameters of the DC Electric Drive
    (Springer, Cham, 2022) Stopkin, Vasyl V.; Nikolenko, Anatoliy V.; Kuznetsov, Vitaliy V.; Tryputen, Mykola; Kuzenkov, Oleksandr
    ENG: The aim of this paper is to analyze the use of surveillance devices in modern digital electric drives with the prospect of modernization of existing DC drives used in the metallurgical industry of the Dnieper region of Ukraine and develop a mathematical model of electric drive with adaptive observer identification of basic coordinates. The urgency of the work is justified, given the large number of outdated control systems for DC electric drives at metallurgical enterprises in the Dnieper region. There are even drives with a generator-DC motor system in the presence of thyristor converters in the excitation windings of motors and generators, such as a generator system – a blooming DC motor 1050 in a rolling shop №1 PJSC “Dnieper Metallurgical Plant”, a generator system – DC motor rolling shop of PJSC “Dnieper Metallurgical Plant”. There are also more modern – for example, digital system thyristor converter – DC motor of the electric drive of a calibration condition in the conditions of rolling shop №7 INTERPIPE NIKO TUBE, Nikopol. The power of the main drives is from 80 kW to 8 MW. Also, the aim of the work is to create a general classical mathematical model of the DC electric drive with observers to identify such parameters as the moment of inertia, the resistance of the armature circuit. The obtained results give an idea of the interdependence of the main parameters of the electric drive, which characterize and influence the dynamic properties of observers – the roots of the characteristic equation, structural coefficients, the frequency of undamped oscillations. The practical value includes recommendations for adjusting the control circuits for regenerative monitoring devices, the coordinates of the electric drive, which are obtained as a result of research on a mathematical model. The recommendations can be used as input, for example in the configuration of control systems, control circuits for digital complete DC electric drives in environments such as the TIA Portal Siemens before the first start-up of electric drives in the plant. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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