Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research)
Purpose. Determination in the analytical form of the maximum limiting influence of the non-identity of the capacitive elements of the high-voltage arm on the amplitude-frequency characteristic and phase-frequency characteristic of the voltage divider with parallel-series connection of R-, C-elements...
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| Дата: | 2021 |
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| Автори: | , , , , , |
| 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”
2021
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| Назва журналу: | Electrical Engineering & Electromechanics |
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eiekhpieduua-article-2378102021-07-29T04:36:40Z Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) Граничний вплив неідентичності ємнісних елементів високовольтного плеча на частотні характеристики подільника напруги (аналітичне дослідження) Brzhezitsky, V. O. Haran, Y. O. Derzhuk, A. O. Protsenko, O. R. Trotsenko, Y. O. Dixit, M. M. voltage divider frequency characteristics analytical expressions tolerance of capacitive elements parameters adjustment подільник напруги частотні характеристики аналітичні вирази допуск ємнісних елементів коригування параметрів Purpose. Determination in the analytical form of the maximum limiting influence of the non-identity of the capacitive elements of the high-voltage arm on the amplitude-frequency characteristic and phase-frequency characteristic of the voltage divider with parallel-series connection of R-, C-elements of the high-voltage arm. Methodology. Based on the previously developed theory of broadband voltage dividers with parallel-series connection of R-, C-elements, analytical expressions for amplitude-frequency and phase-frequency characteristics of the voltage divider are obtained and investigated taking into account the limit case of non-identical capacitive elements of high-voltage arm. Results. The nature of the dependencies of the frequency characteristics of the broadband voltage divider on the value of the tolerance of the capacitive elements of the high-voltage arm, the division factor of the voltage divider in a wide range of frequency changes is determined. Simplified approximating expressions for the maximum values of frequency characteristics of the voltage divider are proposed and their error is determined. Originality. For the first time in the analytical form the limiting influence of non-identity of capacitive elements of a high-voltage arm of a voltage divider on its frequency characteristics is considered. A mathematical model of this influence is constructed and the limit values of frequency characteristics of the voltage divider are determined. Practical value. It is recommended to introduce into the normative documentation of broadband voltage dividers the corrected value of the division factor, which allows to significantly reduce the deviation of the actual value of the division factor of the voltage divider from the normalized value in a wide range of frequency changes. На основі раніше розвинутої теорії широкосмугових подільників напруги з паралельно-послідовним з’єднанням R-, C-елементів вперше одержані аналітичні вирази для амплітудно-частотної та фазо-частотної характеристик подільника напруги з урахуванням граничного випадку неідентичності ємнісних елементів високовольтного плеча. Визначений загальний характер залежностей частотних характеристик від значення допуску ємнісних елементів, коефіцієнта ділення подільника напруги в широкому діапазоні зміни частоти. Запропоновані спрощені апроксимуючі вирази для максимальних значень частотних характеристик та визначена їх похибка. Рекомендовано уведення в нормативну документацію широкосмугових подільників напруги відкоригованого значення коефіцієнта ділення. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2021-07-29 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/237810 10.20998/2074-272X.2021.4.06 Electrical Engineering & Electromechanics; No. 4 (2021); 46-52 Электротехника и Электромеханика; № 4 (2021); 46-52 Електротехніка і Електромеханіка; № 4 (2021); 46-52 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/237810/236491 http://eie.khpi.edu.ua/article/view/237810/236492 Copyright (c) 2021 V. O. Brzhezitsky, Y. O. Haran, A. O. Derzhuk, O. R. Protsenko, Y. O. Trotsenko, M. M. Dixit http://creativecommons.org/licenses/by-nc/4.0 |
| institution |
Electrical Engineering & Electromechanics |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
voltage divider frequency characteristics analytical expressions tolerance of capacitive elements parameters adjustment подільник напруги частотні характеристики аналітичні вирази допуск ємнісних елементів коригування параметрів |
| spellingShingle |
voltage divider frequency characteristics analytical expressions tolerance of capacitive elements parameters adjustment подільник напруги частотні характеристики аналітичні вирази допуск ємнісних елементів коригування параметрів Brzhezitsky, V. O. Haran, Y. O. Derzhuk, A. O. Protsenko, O. R. Trotsenko, Y. O. Dixit, M. M. Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| topic_facet |
voltage divider frequency characteristics analytical expressions tolerance of capacitive elements parameters adjustment подільник напруги частотні характеристики аналітичні вирази допуск ємнісних елементів коригування параметрів |
| format |
Article |
| author |
Brzhezitsky, V. O. Haran, Y. O. Derzhuk, A. O. Protsenko, O. R. Trotsenko, Y. O. Dixit, M. M. |
| author_facet |
Brzhezitsky, V. O. Haran, Y. O. Derzhuk, A. O. Protsenko, O. R. Trotsenko, Y. O. Dixit, M. M. |
| author_sort |
Brzhezitsky, V. O. |
| title |
Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_short |
Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_full |
Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_fullStr |
Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_full_unstemmed |
Ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_sort |
ultimate effect of non-identity of capacitive elements of high-voltage arm on frequency characteristics of voltage divider (analytical research) |
| title_alt |
Граничний вплив неідентичності ємнісних елементів високовольтного плеча на частотні характеристики подільника напруги (аналітичне дослідження) |
| description |
Purpose. Determination in the analytical form of the maximum limiting influence of the non-identity of the capacitive elements of the high-voltage arm on the amplitude-frequency characteristic and phase-frequency characteristic of the voltage divider with parallel-series connection of R-, C-elements of the high-voltage arm. Methodology. Based on the previously developed theory of broadband voltage dividers with parallel-series connection of R-, C-elements, analytical expressions for amplitude-frequency and phase-frequency characteristics of the voltage divider are obtained and investigated taking into account the limit case of non-identical capacitive elements of high-voltage arm. Results. The nature of the dependencies of the frequency characteristics of the broadband voltage divider on the value of the tolerance of the capacitive elements of the high-voltage arm, the division factor of the voltage divider in a wide range of frequency changes is determined. Simplified approximating expressions for the maximum values of frequency characteristics of the voltage divider are proposed and their error is determined. Originality. For the first time in the analytical form the limiting influence of non-identity of capacitive elements of a high-voltage arm of a voltage divider on its frequency characteristics is considered. A mathematical model of this influence is constructed and the limit values of frequency characteristics of the voltage divider are determined. Practical value. It is recommended to introduce into the normative documentation of broadband voltage dividers the corrected value of the division factor, which allows to significantly reduce the deviation of the actual value of the division factor of the voltage divider from the normalized value in a wide range of frequency changes. |
| 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 |
2021 |
| url |
http://eie.khpi.edu.ua/article/view/237810 |
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