The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system
Problem. The flow of currents in the conductive elements of electrical systems is accompanied by the excitation of electromagnetic fields and the occurrence of induced currents. The excitation of the induced signals, in turn, leads to a change in the parameters of the actual exciting currents. The p...
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| Дата: | 2023 |
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| Формат: | Стаття |
| Мова: | English Ukrainian |
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National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
2023
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| Онлайн доступ: | http://eie.khpi.edu.ua/article/view/274969 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
Репозитарії
Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-274969 |
|---|---|
| record_format |
ojs |
| institution |
Electrical Engineering & Electromechanics |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
круговий соленоїд масивний провідник індукторна система вихрові струми індуктивність circular solenoid massive conductor inductor system eddy currents inductance |
| spellingShingle |
круговий соленоїд масивний провідник індукторна система вихрові струми індуктивність circular solenoid massive conductor inductor system eddy currents inductance Batygin, Yu. V. Yeryomina, O. F. Shinderuk, S. O. Chaplygin, E. O. The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| topic_facet |
круговий соленоїд масивний провідник індукторна система вихрові струми індуктивність circular solenoid massive conductor inductor system eddy currents inductance |
| format |
Article |
| author |
Batygin, Yu. V. Yeryomina, O. F. Shinderuk, S. O. Chaplygin, E. O. |
| author_facet |
Batygin, Yu. V. Yeryomina, O. F. Shinderuk, S. O. Chaplygin, E. O. |
| author_sort |
Batygin, Yu. V. |
| title |
The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_short |
The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_full |
The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_fullStr |
The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_full_unstemmed |
The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_sort |
mutual influence of exciting and induced currents in the circular solenoid – massive conductor system |
| title_alt |
Взаємний вплив збуджуючих та індукованих струмів у системі «круговий соленоїд – масивний провідник» |
| description |
Problem. The flow of currents in the conductive elements of electrical systems is accompanied by the excitation of electromagnetic fields and the occurrence of induced currents. The excitation of the induced signals, in turn, leads to a change in the parameters of the actual exciting currents. The purpose of the work is to obtain analytical expressions for the quantitative analysis of the results of the mutual influence of the exciting and induced currents and to calculate their ratio depending on the geometric characteristics of the inductor systems. Methodology. The analysis of the processes of mutual influence is carried out on the example of a widespread inductor system, where a flat circular solenoid is placed above the surface of a massive conductor. Analytical expressions for eddy currents excited in a massive conductor and numerical estimates of the effect of induced currents on exciting currents in a solenoid are obtained. Results. It is shown that the influence of the induced current on the current in the solenoid is very significant at small distances between the solenoid and the surface of the massive solenoid. It has been found that an increase in the width of the solenoid winding leads to a significant increase in the influence of the induced current on the excitation current in the solenoid. It is shown that the inductance of the «circular solenoid - massive conductor» system drops with a decrease in the distance between the solenoid and the massive conductor and an increase in the radial dimensions of the solenoid, which requires an increase in the amplitude of the exciting current to maintain a given value of the magnetic flux in the system. Originality. The scientific novelty of this work lies in the proposal of an analytical approach and obtaining numerical estimates of the mutual influence of conductors with exciting and induced currents. Practical value. Estimates of the mutual influence of conductors with currents are of interest for the practice of designing structures of electrical systems for various purposes. Very promising in the direction further research is seen as carrying out experiments with measurements of the quantitative characteristics of the mutual influence of exciting and induced currents in various designs of electrical systems. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” |
| publishDate |
2023 |
| url |
http://eie.khpi.edu.ua/article/view/274969 |
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2024-06-01T14:40:32Z |
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2024-06-01T14:40:32Z |
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eiekhpieduua-article-2749692023-10-21T17:48:38Z The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system Взаємний вплив збуджуючих та індукованих струмів у системі «круговий соленоїд – масивний провідник» Batygin, Yu. V. Yeryomina, O. F. Shinderuk, S. O. Chaplygin, E. O. круговий соленоїд масивний провідник індукторна система вихрові струми індуктивність circular solenoid massive conductor inductor system eddy currents inductance Problem. The flow of currents in the conductive elements of electrical systems is accompanied by the excitation of electromagnetic fields and the occurrence of induced currents. The excitation of the induced signals, in turn, leads to a change in the parameters of the actual exciting currents. The purpose of the work is to obtain analytical expressions for the quantitative analysis of the results of the mutual influence of the exciting and induced currents and to calculate their ratio depending on the geometric characteristics of the inductor systems. Methodology. The analysis of the processes of mutual influence is carried out on the example of a widespread inductor system, where a flat circular solenoid is placed above the surface of a massive conductor. Analytical expressions for eddy currents excited in a massive conductor and numerical estimates of the effect of induced currents on exciting currents in a solenoid are obtained. Results. It is shown that the influence of the induced current on the current in the solenoid is very significant at small distances between the solenoid and the surface of the massive solenoid. It has been found that an increase in the width of the solenoid winding leads to a significant increase in the influence of the induced current on the excitation current in the solenoid. It is shown that the inductance of the «circular solenoid - massive conductor» system drops with a decrease in the distance between the solenoid and the massive conductor and an increase in the radial dimensions of the solenoid, which requires an increase in the amplitude of the exciting current to maintain a given value of the magnetic flux in the system. Originality. The scientific novelty of this work lies in the proposal of an analytical approach and obtaining numerical estimates of the mutual influence of conductors with exciting and induced currents. Practical value. Estimates of the mutual influence of conductors with currents are of interest for the practice of designing structures of electrical systems for various purposes. Very promising in the direction further research is seen as carrying out experiments with measurements of the quantitative characteristics of the mutual influence of exciting and induced currents in various designs of electrical systems. В роботі одержано аналітичні вирази для кількісного аналізу результатів взаємного впливу збуджуючих та індукованих струмів і числові оцінки їх співвідношення в залежності від геометричних характеристик індукторної системи. Аналіз результатів взаємного впливу проведено на прикладі широко поширеної індукторної системи, де плоский круговий соленоїд є розташованим над поверхнею ідеалізованого масивного провідника, що подається моделлю з нескінченою електропровідністю. Показано, що вплив індукованого струму на струм у соленоїді зростає при зменшенні відстані між соленоїдом та поверхнею масивного провідника і збільшенні ширини обмотки соленоїда, що вимагає підвищення амплітуди збуджуючого струму для збереження заданої величини магнітного потоку в системі. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2023-10-21 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/274969 10.20998/2074-272X.2023.6.12 Electrical Engineering & Electromechanics; No. 6 (2023); 67-71 Электротехника и Электромеханика; № 6 (2023); 67-71 Електротехніка і Електромеханіка; № 6 (2023); 67-71 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/274969/282316 http://eie.khpi.edu.ua/article/view/274969/282317 Copyright (c) 2023 Yu. V. Batygin, O. F. Yeryomina, S. O. Shinderuk, E. O. Chaplygin http://creativecommons.org/licenses/by-nc/4.0 |