ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR»
Purpose. Defining the key parameters of the inductor geometry, as a long multi-turn solenoid, that influence on the current amplitude induced excited in a massive conductor with a flat boundary surface. Methodology. Performing a mathematical analysis of the electrodynamic problem solution for an are...
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
2018
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| Online Access: | http://eie.khpi.edu.ua/article/view/2074-272X.2018.1.08 |
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| Journal Title: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-122727 |
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Electrical Engineering & Electromechanics |
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2018-02-07T12:05:26Z |
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English |
| topic |
induction heating Maxwell’s equations sheet metal electromagnetic field electrodynamic problem eddy currents 621.365.5 537.856 |
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induction heating Maxwell’s equations sheet metal electromagnetic field electrodynamic problem eddy currents 621.365.5 537.856 Batygin, Yu. V. Chaplygin, E. A. Sabokar, O. S. Strelnikova, V. A. ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| topic_facet |
induction heating Maxwell’s equations sheet metal electromagnetic field electrodynamic problem eddy currents 621.365.5 537.856 индукционный нагрев уравнения Максвелла листовой металл электромагнитное поле электродинамическая задача вихревые токи 621.365.5 537.856 |
| format |
Article |
| author |
Batygin, Yu. V. Chaplygin, E. A. Sabokar, O. S. Strelnikova, V. A. |
| author_facet |
Batygin, Yu. V. Chaplygin, E. A. Sabokar, O. S. Strelnikova, V. A. |
| author_sort |
Batygin, Yu. V. |
| title |
ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| title_short |
ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| title_full |
ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| title_fullStr |
ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| title_full_unstemmed |
ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» |
| title_sort |
analysis of electromagnetic processes in the system «cylindrical solenoid – massive conductor» |
| title_alt |
АНАЛИЗ ЭЛЕКТРОМАГНИТНЫХ ПРОЦЕССОВ В СИСТЕМЕ «ЦИЛИНДРИЧЕСКИЙ СОЛЕНОИД – МАССИВНЫЙ ПРОВОДНИК» |
| description |
Purpose. Defining the key parameters of the inductor geometry, as a long multi-turn solenoid, that influence on the current amplitude induced excited in a massive conductor with a flat boundary surface. Methodology. Performing a mathematical analysis of the electrodynamic problem solution for an area with variable structure by integrating Maxwell's equation within the given boundary and initial conditions and also physical assumptions simplifying the process of solving but not distorting the result and carrying out an experiment that confirms not only the correctly construction considered but also the acceptability of the chosen assumption the opacity applying of the metal blank for these operating fields frequencies. Results. Functional dependencies of the current induced parameters on the metal surface of the heating object have been obtained, along which numerical estimates of the electrodynamic process have been performed, and key parameters influencing the heating efficiency have been determined. The correctness of the solutions obtained was confirmed experimentally. The final form of the solution function of the physical-mathematical problem was shown to be acceptable for performing further engineering and research calculations. Originality. The functional connection of the measured values of the induced surface current and the parameters of the measuring system is determined, the experimental confirmation of which indicates the satisfactory calculation model of the induction heating system and the entire solution as a whole. Practical value. Based on the calculations performed, working samples of inductive systems for induction heating that meet the specified heating rate and area requirements can be constructed. The obtained analytical expressions were transformed and simplified for their further using for engineering calculations with a minimum error value. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine |
| publishDate |
2018 |
| url |
http://eie.khpi.edu.ua/article/view/2074-272X.2018.1.08 |
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AT batyginyuv analysisofelectromagneticprocessesinthesystemcylindricalsolenoidmassiveconductor AT chaplyginea analysisofelectromagneticprocessesinthesystemcylindricalsolenoidmassiveconductor AT sabokaros analysisofelectromagneticprocessesinthesystemcylindricalsolenoidmassiveconductor AT strelnikovava analysisofelectromagneticprocessesinthesystemcylindricalsolenoidmassiveconductor AT batyginyuv analizélektromagnitnyhprocessovvsistemecilindričeskijsolenoidmassivnyjprovodnik AT chaplyginea analizélektromagnitnyhprocessovvsistemecilindričeskijsolenoidmassivnyjprovodnik AT sabokaros analizélektromagnitnyhprocessovvsistemecilindričeskijsolenoidmassivnyjprovodnik AT strelnikovava analizélektromagnitnyhprocessovvsistemecilindričeskijsolenoidmassivnyjprovodnik |
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2025-07-17T11:46:59Z |
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2025-07-17T11:46:59Z |
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eiekhpieduua-article-1227272018-02-07T12:05:26Z ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR» АНАЛИЗ ЭЛЕКТРОМАГНИТНЫХ ПРОЦЕССОВ В СИСТЕМЕ «ЦИЛИНДРИЧЕСКИЙ СОЛЕНОИД – МАССИВНЫЙ ПРОВОДНИК» Batygin, Yu. V. Chaplygin, E. A. Sabokar, O. S. Strelnikova, V. A. induction heating Maxwell’s equations sheet metal electromagnetic field electrodynamic problem eddy currents 621.365.5 537.856 индукционный нагрев уравнения Максвелла листовой металл электромагнитное поле электродинамическая задача вихревые токи 621.365.5 537.856 Purpose. Defining the key parameters of the inductor geometry, as a long multi-turn solenoid, that influence on the current amplitude induced excited in a massive conductor with a flat boundary surface. Methodology. Performing a mathematical analysis of the electrodynamic problem solution for an area with variable structure by integrating Maxwell's equation within the given boundary and initial conditions and also physical assumptions simplifying the process of solving but not distorting the result and carrying out an experiment that confirms not only the correctly construction considered but also the acceptability of the chosen assumption the opacity applying of the metal blank for these operating fields frequencies. Results. Functional dependencies of the current induced parameters on the metal surface of the heating object have been obtained, along which numerical estimates of the electrodynamic process have been performed, and key parameters influencing the heating efficiency have been determined. The correctness of the solutions obtained was confirmed experimentally. The final form of the solution function of the physical-mathematical problem was shown to be acceptable for performing further engineering and research calculations. Originality. The functional connection of the measured values of the induced surface current and the parameters of the measuring system is determined, the experimental confirmation of which indicates the satisfactory calculation model of the induction heating system and the entire solution as a whole. Practical value. Based on the calculations performed, working samples of inductive systems for induction heating that meet the specified heating rate and area requirements can be constructed. The obtained analytical expressions were transformed and simplified for their further using for engineering calculations with a minimum error value. Цель. Определение ключевых параметров геометрии индуктора, как длинного многовиткового соленоида, влияющих на амплитуду индуцированного тока возбуждаемого в массивном проводнике с плоской граничной поверхностью. Методика. Выполнение математического анализа решения электродинамической задачи для среды с переменной структурой путем интегрирования уравнений Максвелла в рамках заданных граничных и начальных условий, а также физических допущений, которые упрощают процесс решения, но не искажают его результат; а также проведение эксперимента подтверждающего не только правильно выполненное построение, но и допустимость применения выбранного допущения о непрозрачности металлической заготовки для данных частот действующих полей. Результаты. Получены функциональные зависимости искомых параметров индуцированного тока на поверхности металла объекта нагрева, по которым были выполнены численные оценки электродинамического процесса, определены ключевые параметры, влияющие на эффективность нагрева. Правильность полученных решений была подтверждена экспериментально. Окончательный вид функции решения физико-математической задачи был приведен к приемлемому для выполнения дальнейших инженерных и исследовательских расчётов. Научная новизна. Определена функциональная связь измеряемых величин индуцированного поверхностного тока и параметров измерительной системы, экспериментальное подтверждение которой свидетельствует об удовлетворительности расчетной модели системы индукционного нагрева и всего решения в целом. Практическая значимость. На основании проведенных расчетов могут быть сконструированы рабочие образцы индуктивных систем для индукционного нагрева, отвечающие заданным требованиям скорости нагрева и его площади. Полученные аналитические выражения были преобразованы и упрощены с целью их дальнейшего использования для инженерных расчётов с минимальной величиной погрешности. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2018-02-07 Article Article Peer-reviewed Article application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2018.1.08 10.20998/2074-272X.2018.1.08 Electrical Engineering & Electromechanics; No. 1 (2018); 54-58 Электротехника и Электромеханика; № 1 (2018); 54-58 Електротехніка і Електромеханіка; № 1 (2018); 54-58 2309-3404 2074-272X en http://eie.khpi.edu.ua/article/view/2074-272X.2018.1.08/117734 Copyright (c) 2018 Yu. V. Batygin, E. A. Chaplygin, O. S. Sabokar, V. A. Strelnikova https://creativecommons.org/licenses/by-nc/4.0 |