Pub Date : 2022-10-06DOI: 10.23939/jcpee2022.02.035
Vasyl Tchaban
In electrotechnical research there is a problem of analysis of the interaction of moving charged bodies on their trajectories. Its practical solution is possible only on the basis of an adequate mathematical model. To this end, we have adapted the law of force interaction of stationary charges by Charles Coulomb in the case of motion at all possible speeds. This takes into account the finite rate of propagation of the electrical interaction. Differential equations of motion of a closed system of charged moving bodies in their electric field are obtained. On this basis, the transients in a three-charge proton-electron system are simulated, such as the electromechanical equilibrium of an atom of a periodic table of elements. The simulation results are attached.
{"title":"Motion dynamics of a multicharging system in an electric field","authors":"Vasyl Tchaban","doi":"10.23939/jcpee2022.02.035","DOIUrl":"https://doi.org/10.23939/jcpee2022.02.035","url":null,"abstract":"In electrotechnical research there is a problem of analysis of the interaction of moving charged bodies on their trajectories. Its practical solution is possible only on the basis of an adequate mathematical model. To this end, we have adapted the law of force interaction of stationary charges by Charles Coulomb in the case of motion at all possible speeds. This takes into account the finite rate of propagation of the electrical interaction. Differential equations of motion of a closed system of charged moving bodies in their electric field are obtained. On this basis, the transients in a three-charge proton-electron system are simulated, such as the electromechanical equilibrium of an atom of a periodic table of elements. The simulation results are attached.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122871862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.23939/jcpee2022.02.014
Oksana Holyk, L. Shchebeniuk, Oleksandr Kiessaiev, Yuliia Gontar, Mykola Zykov, A. Shurupova, R. Belyanin, T. Antonets
The results of non-destructive technological control of the number of defects in the enamel wire insulation based on polyetherimide polymer are presented. The application of statistical analysis of the measurement results of control indicators with the help of a mathematical trend model for the use in active technological control is considered. Recommendations for the practical use of the trend function parameters to control the probability of finding several parameters within the established limits are proposed. The main parameter of the trend is the flow parameter of the number of defects exceeding the established technological limit (the failure flow parameter) in short periods of the technological time, for example, for each spool of wire (several thousand meters of wire). The ability to quantitatively assess the tendency of enamel insulation defects for the wire with two-layer insulation with a nominal diameter of 0.63 mm during a continuous technological cycle has been theoretically explained and confirmed by measurements. Quantitative assessment of the tendency of changing the enamel insulation defectiveness allows using a model based on collating the information on a significant number of control parameters. At the same time, one parameter of the spectrum of interrelated ones is allowed to exceed a set technological limit, which ensures sensitivity to changes in this limit. Data on the sensitivity of this model to technological changes are presented
{"title":"Statistical model of processing the results of technological control at testing enamel wire insulation by high voltage during the production process","authors":"Oksana Holyk, L. Shchebeniuk, Oleksandr Kiessaiev, Yuliia Gontar, Mykola Zykov, A. Shurupova, R. Belyanin, T. Antonets","doi":"10.23939/jcpee2022.02.014","DOIUrl":"https://doi.org/10.23939/jcpee2022.02.014","url":null,"abstract":"The results of non-destructive technological control of the number of defects in the enamel wire insulation based on polyetherimide polymer are presented. The application of statistical analysis of the measurement results of control indicators with the help of a mathematical trend model for the use in active technological control is considered. Recommendations for the practical use of the trend function parameters to control the probability of finding several parameters within the established limits are proposed. The main parameter of the trend is the flow parameter of the number of defects exceeding the established technological limit (the failure flow parameter) in short periods of the technological time, for example, for each spool of wire (several thousand meters of wire). The ability to quantitatively assess the tendency of enamel insulation defects for the wire with two-layer insulation with a nominal diameter of 0.63 mm during a continuous technological cycle has been theoretically explained and confirmed by measurements. Quantitative assessment of the tendency of changing the enamel insulation defectiveness allows using a model based on collating the information on a significant number of control parameters. At the same time, one parameter of the spectrum of interrelated ones is allowed to exceed a set technological limit, which ensures sensitivity to changes in this limit. Data on the sensitivity of this model to technological changes are presented","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131179475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.23939/jcpee2022.02.001
V. Horyachko, O. Hamola, Taras Ryzhyi
Calculation of electromagnetic parameters of static and dynamic magnetically coupled inductors based on mathematical models of their magnetic circuits is proposed. The inductance and mutual inductance of such coils are determined using the geometric dimensions of the coils themselves, their relative location, and the physical parameters of the environment.
{"title":"Determination of parameters of magnetically coupled coils based on mathematical models of their magnetic circuits","authors":"V. Horyachko, O. Hamola, Taras Ryzhyi","doi":"10.23939/jcpee2022.02.001","DOIUrl":"https://doi.org/10.23939/jcpee2022.02.001","url":null,"abstract":"Calculation of electromagnetic parameters of static and dynamic magnetically coupled inductors based on mathematical models of their magnetic circuits is proposed. The inductance and mutual inductance of such coils are determined using the geometric dimensions of the coils themselves, their relative location, and the physical parameters of the environment.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133069548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.23939/jcpee2022.02.005
M. Dyvak, V. Manzhula, T. Dyvak
The article proposes an approach to parametric identification of interval nonlinear models of static systems based on the standard problem of minimizing the root mean square deviation between the values of the modeled characteristics of the static object and the values belonging to the experimental intervals. As a result of expanding the parameter space of nonlinear models by introducing additional coefficients to match the predicted and experimental values into the objective function, a multidimensional optimization problem with a nonlinear multiextremal objective function is obtained. The paper examines the characteristics of the objective function and the convergence of its optimization.
{"title":"Identification of parameters of interval nonlinear models of static systems using multidimensional optimization","authors":"M. Dyvak, V. Manzhula, T. Dyvak","doi":"10.23939/jcpee2022.02.005","DOIUrl":"https://doi.org/10.23939/jcpee2022.02.005","url":null,"abstract":"The article proposes an approach to parametric identification of interval nonlinear models of static systems based on the standard problem of minimizing the root mean square deviation between the values of the modeled characteristics of the static object and the values belonging to the experimental intervals. As a result of expanding the parameter space of nonlinear models by introducing additional coefficients to match the predicted and experimental values into the objective function, a multidimensional optimization problem with a nonlinear multiextremal objective function is obtained. The paper examines the characteristics of the objective function and the convergence of its optimization.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122613382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.23939/jcpee2022.02.031
С. Tovstyuk
The use of nanocomposite materials has led to progress in the creation of new electronic devices (minitransistors, sensors, micro-drives, which are used to build artificial muscles, and supercapacitors. Nanocomposites occupy a special place with magnetosensitive fillers, particularly successfully used in medicine. Nanocomposites are also used for a protective coating. Depending on the operational functions, achieving a specific conductivity value and its change with temperature is necessary for such a coating. In the work, a conductivity model of polymer nanocomposites based on graphene (Gr/PS) was obtained using experimental data. The largest relative deviation between the conductivity surface and experimental data does not exceed 9.5%. The expression was obtained for the graphene concentration 1 < C(Gr) < 30 wt % and the temperature range 20 < T < 100 °C. The dependence of the specific electrical conductivity on the filler concentration and temperature obtained in the work will allow the researchers to select a nanocomposite with the required conductivity and evaluate the temperature effects on it for the conditions to which the material will be exposed.
{"title":"Modeling of electrical conductivity of graphene-based polymer nanocomposites: calculation from the first principles","authors":"С. Tovstyuk","doi":"10.23939/jcpee2022.02.031","DOIUrl":"https://doi.org/10.23939/jcpee2022.02.031","url":null,"abstract":"The use of nanocomposite materials has led to progress in the creation of new electronic devices (minitransistors, sensors, micro-drives, which are used to build artificial muscles, and supercapacitors. Nanocomposites occupy a special place with magnetosensitive fillers, particularly successfully used in medicine. Nanocomposites are also used for a protective coating. Depending on the operational functions, achieving a specific conductivity value and its change with temperature is necessary for such a coating. In the work, a conductivity model of polymer nanocomposites based on graphene (Gr/PS) was obtained using experimental data. The largest relative deviation between the conductivity surface and experimental data does not exceed 9.5%. The expression was obtained for the graphene concentration 1 < C(Gr) < 30 wt % and the temperature range 20 < T < 100 °C. The dependence of the specific electrical conductivity on the filler concentration and temperature obtained in the work will allow the researchers to select a nanocomposite with the required conductivity and evaluate the temperature effects on it for the conditions to which the material will be exposed.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114963172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.23939/jcpee2022.01.049
С. Tovstyuk
The shift of the electron energy level due to its interaction with the polarizing phonons is investigated here for the particles whose energy does not depend on the wave vector. We also analyze the influence of the value of the constant of electron - phonon interaction and other parameters of the problem on the electron energy change. The methods of Green's functions, presented by the the Feynman diagrams and using the double permutations, are present here. The paper contains the analysis of the columns of the corresponding double permutations, the analytical expressions of which form the mass operator presented by the chain fractions. We received the expressions for admissibles and inadmissibles columns for phonon components of double permutations. The numerical calculations allow to conclude about the energy shift and how it depends on the parameters.
{"title":"The shift of the constant energy level after the interaction of particles with the polarizing phonons","authors":"С. Tovstyuk","doi":"10.23939/jcpee2022.01.049","DOIUrl":"https://doi.org/10.23939/jcpee2022.01.049","url":null,"abstract":"The shift of the electron energy level due to its interaction with the polarizing phonons is investigated here for the particles whose energy does not depend on the wave vector. We also analyze the influence of the value of the constant of electron - phonon interaction and other parameters of the problem on the electron energy change. The methods of Green's functions, presented by the the Feynman diagrams and using the double permutations, are present here. The paper contains the analysis of the columns of the corresponding double permutations, the analytical expressions of which form the mass operator presented by the chain fractions. We received the expressions for admissibles and inadmissibles columns for phonon components of double permutations. The numerical calculations allow to conclude about the energy shift and how it depends on the parameters.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127807775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.23939/jcpee2022.01.045
Vasyl Tchaban
A method for forming nonlinear differential equations of a multipololar element, which connect its independent pole currents and independent polar voltages, is proposed. The difficulty of the analysis is that some of the internal and external unknowns may be under the symbol of differentiation. The starting information for this formation is the common differential equations of the system of internal and external currents and voltages. The method is demonstrated on the case of formation of the corresponding differential equations of the system as such that is formed by bipolar elements. The analysis is significantly simplified in the presence of internal D-degenerations of the system or resistive circuits.
{"title":"Differential equations of a nonlinear multipolar element","authors":"Vasyl Tchaban","doi":"10.23939/jcpee2022.01.045","DOIUrl":"https://doi.org/10.23939/jcpee2022.01.045","url":null,"abstract":"A method for forming nonlinear differential equations of a multipololar element, which connect its independent pole currents and independent polar voltages, is proposed. The difficulty of the analysis is that some of the internal and external unknowns may be under the symbol of differentiation. The starting information for this formation is the common differential equations of the system of internal and external currents and voltages. The method is demonstrated on the case of formation of the corresponding differential equations of the system as such that is formed by bipolar elements. The analysis is significantly simplified in the presence of internal D-degenerations of the system or resistive circuits.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132365564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.23939/jcpee2022.01.001
N. Shakhovskaya, Krzysztof Rejman, Y. Bobalo, V. Brygilevych
The paper presents an architecture of the education system with gamification. The system for assessing practical knowledge and skills through play is designed to optimize the educational process and the manifestation of students' creative thinking. The main purpose of this system is to simplify and automate the learning process in educational institutions
{"title":"Gamification in educational process: realization","authors":"N. Shakhovskaya, Krzysztof Rejman, Y. Bobalo, V. Brygilevych","doi":"10.23939/jcpee2022.01.001","DOIUrl":"https://doi.org/10.23939/jcpee2022.01.001","url":null,"abstract":"The paper presents an architecture of the education system with gamification. The system for assessing practical knowledge and skills through play is designed to optimize the educational process and the manifestation of students' creative thinking. The main purpose of this system is to simplify and automate the learning process in educational institutions","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134468702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.23939/jcpee2022.01.017
V. Emets
The paper considers an approach to numerical modelling of the problem of electromagnetic plane waves scattering by an open arc with different boundary conditions on its sides. The corresponding mixed boundary value problem is reduced to a system of two singular and hypersingular integral equations. The method of collocation for numerical solutions to the equations obtained is proposed and analyzed. Numerical results of the radar cross-section for different values of arc curvatures are presented.
{"title":"Scattering of plane waves by an open arc with different boundary conditions on its sides","authors":"V. Emets","doi":"10.23939/jcpee2022.01.017","DOIUrl":"https://doi.org/10.23939/jcpee2022.01.017","url":null,"abstract":"The paper considers an approach to numerical modelling of the problem of electromagnetic plane waves scattering by an open arc with different boundary conditions on its sides. The corresponding mixed boundary value problem is reduced to a system of two singular and hypersingular integral equations. The method of collocation for numerical solutions to the equations obtained is proposed and analyzed. Numerical results of the radar cross-section for different values of arc curvatures are presented.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133680628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.23939/jcpee2022.01.022
A. Lupenko
The step-down dc-to-dc converter for application in power factor corrector is proposed and analysed in this paper. Unlike a conventional buck converter containing a single inductor and output capacitor, the proposed converter uses two magnetic-coupled inductors and two output capacitors connected in series. The output voltage of such a coupled inductor buck converter is equal to the sum of voltages of these capacitors. The direct interaction of the input voltage occurs only with a part of the output voltage. This allows increasing a conduction angle in the power factor corrector (PFC) on the basis of the proposed converter and, as a result, reducing the total harmonic distortions and increasing a power factor to satisfy current standard requirements. A detailed analysis of the operation of the proposed converter is presented. The reliability of the analysis is confirmed by a small discrepancy between the results of calculation, modeling and experiment.
{"title":"Buck converter with magnetic-coupled inductors for power factor corrector","authors":"A. Lupenko","doi":"10.23939/jcpee2022.01.022","DOIUrl":"https://doi.org/10.23939/jcpee2022.01.022","url":null,"abstract":"The step-down dc-to-dc converter for application in power factor corrector is proposed and analysed in this paper. Unlike a conventional buck converter containing a single inductor and output capacitor, the proposed converter uses two magnetic-coupled inductors and two output capacitors connected in series. The output voltage of such a coupled inductor buck converter is equal to the sum of voltages of these capacitors. The direct interaction of the input voltage occurs only with a part of the output voltage. This allows increasing a conduction angle in the power factor corrector (PFC) on the basis of the proposed converter and, as a result, reducing the total harmonic distortions and increasing a power factor to satisfy current standard requirements. A detailed analysis of the operation of the proposed converter is presented. The reliability of the analysis is confirmed by a small discrepancy between the results of calculation, modeling and experiment.","PeriodicalId":325908,"journal":{"name":"Computational Problems of Electrical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115941795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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