A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS
Goal. Representation of a special mathematical software for determining the angular displacements of the rotor of the induction angle sensor – resolver (rotating transformer) for applications in which the speed of the sensor's rotor is close to zero. As well as performing its experimental verif...
Збережено в:
| Дата: | 2020 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English Ukrainian |
| Опубліковано: |
National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
2020
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| Онлайн доступ: | http://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
Репозитарії
Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-218859 |
|---|---|
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ojs |
| institution |
Electrical Engineering & Electromechanics |
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OJS |
| language |
English Ukrainian |
| topic |
кутові переміщення математичний метод індукційний давач обертовий трансформатор кругова дискретна згортка ортогональні складові прецизійність зсув фази 681.586 681.3 angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift 681.586 681.3 |
| spellingShingle |
кутові переміщення математичний метод індукційний давач обертовий трансформатор кругова дискретна згортка ортогональні складові прецизійність зсув фази 681.586 681.3 angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift 681.586 681.3 Snitkov, K. I. Shabatura, Y. V. A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| topic_facet |
кутові переміщення математичний метод індукційний давач обертовий трансформатор кругова дискретна згортка ортогональні складові прецизійність зсув фази 681.586 681.3 angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift 681.586 681.3 |
| format |
Article |
| author |
Snitkov, K. I. Shabatura, Y. V. |
| author_facet |
Snitkov, K. I. Shabatura, Y. V. |
| author_sort |
Snitkov, K. I. |
| title |
A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| title_short |
A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| title_full |
A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| title_fullStr |
A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| title_full_unstemmed |
A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS |
| title_sort |
method of reducing the error in determining the angular displacements when using inductive sensors |
| title_alt |
МЕТОД ЗМЕНШЕННЯ ПОХИБКИ ВИЗНАЧЕННЯ КУТОВИХ ПЕРЕМІЩЕНЬ ПРИ ВИКОРИСТАННІ ІНДУКЦІЙНИХ ДАВАЧІВ |
| description |
Goal. Representation of a special mathematical software for determining the angular displacements of the rotor of the induction angle sensor – resolver (rotating transformer) for applications in which the speed of the sensor's rotor is close to zero. As well as performing its experimental verification. Methodology. The presented method is based on the determination of the phase shift angle of the output signals of the induction sensor, which is determined by comparing the obtained arrangements of signal values with a circular discrete convolution in order to achieve the most precise approximation of the obtained signal values to cosine and sine. The conversion of orthogonal components to an angle is based on the use of a digital phase detector which is use of a software comparator and inverse trigonometric functions. Results. Based on the obtained results of mathematical modeling and experimental research, the characteristic dependencies of the angle of rotation of the rotor of the induction sensor relative to its stator, the nature of which is linear, were obtained. In addition, the estimation of measurement errors of angular displacements is carried out that occur when defining such angles by the method offered. The obtained results of the computer simulation taking into account the high signal noise, as well as the results of experimental investigations, confirm the high precision of this method and the fact that it can be used in systems where high positioning accuracy is required and the speed of the sensor shaft is close to zero. Originality. This article introduces, for the first time, special mathematical software for a new method of determining the angular displacements of the rotor of an induction sensor, which is based on the determination of the orthogonal components of the signal in combination with the use of a circular discrete convolution in the determination of the phase shift angle of the induction sensor signals. Practical meaning. The proposed method does not require the use of demodulators, counters and quadrant tables associated with conventional methods for determining the phase shift of signals. The presented method can be used to measure the full range of 0-2p angular displacements in real time, is simple and can be easily implemented using digital electronic circuitry. |
| 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 |
2020 |
| url |
http://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01 |
| work_keys_str_mv |
AT snitkovki amethodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT shabaturayv amethodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT snitkovki metodzmenšennâpohibkiviznačennâkutovihperemíŝenʹprivikoristannííndukcíjnihdavačív AT shabaturayv metodzmenšennâpohibkiviznačennâkutovihperemíŝenʹprivikoristannííndukcíjnihdavačív AT snitkovki methodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT shabaturayv methodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors |
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2024-06-01T14:39:42Z |
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| spelling |
eiekhpieduua-article-2188592020-12-16T14:28:15Z A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS МЕТОД ЗМЕНШЕННЯ ПОХИБКИ ВИЗНАЧЕННЯ КУТОВИХ ПЕРЕМІЩЕНЬ ПРИ ВИКОРИСТАННІ ІНДУКЦІЙНИХ ДАВАЧІВ Snitkov, K. I. Shabatura, Y. V. кутові переміщення математичний метод індукційний давач обертовий трансформатор кругова дискретна згортка ортогональні складові прецизійність зсув фази 681.586 681.3 angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift 681.586 681.3 Goal. Representation of a special mathematical software for determining the angular displacements of the rotor of the induction angle sensor – resolver (rotating transformer) for applications in which the speed of the sensor's rotor is close to zero. As well as performing its experimental verification. Methodology. The presented method is based on the determination of the phase shift angle of the output signals of the induction sensor, which is determined by comparing the obtained arrangements of signal values with a circular discrete convolution in order to achieve the most precise approximation of the obtained signal values to cosine and sine. The conversion of orthogonal components to an angle is based on the use of a digital phase detector which is use of a software comparator and inverse trigonometric functions. Results. Based on the obtained results of mathematical modeling and experimental research, the characteristic dependencies of the angle of rotation of the rotor of the induction sensor relative to its stator, the nature of which is linear, were obtained. In addition, the estimation of measurement errors of angular displacements is carried out that occur when defining such angles by the method offered. The obtained results of the computer simulation taking into account the high signal noise, as well as the results of experimental investigations, confirm the high precision of this method and the fact that it can be used in systems where high positioning accuracy is required and the speed of the sensor shaft is close to zero. Originality. This article introduces, for the first time, special mathematical software for a new method of determining the angular displacements of the rotor of an induction sensor, which is based on the determination of the orthogonal components of the signal in combination with the use of a circular discrete convolution in the determination of the phase shift angle of the induction sensor signals. Practical meaning. The proposed method does not require the use of demodulators, counters and quadrant tables associated with conventional methods for determining the phase shift of signals. The presented method can be used to measure the full range of 0-2p angular displacements in real time, is simple and can be easily implemented using digital electronic circuitry. У роботі виконано дослідження нового методу зменшення похибки визначення кутових переміщень за допомогою індукційного давача, його математичне забезпечення та експериментальна перевірка. Представлений метод базується на вимірюванні кута зсуву фаз сигналів давача, визначення якого здійснюється за допомогою співставлення оцифрованих значень сигналів давача із круговою дискретною згорткою та подальшим визначенням їх ортогональних складових. На основі значень отриманих ортогональних складових здійснюється визначення кута за допомогою цифрового детектору фази, в основі роботи якого лежить застосування програмного компаратору та обернених тригонометричних функцій. Запропонований метод не вимагає використання демодуляторів, лічильника та таблиць квадрантів, які асоціюються із традиційними методами визначення кута зсуву фаз сигналів. Представлений метод може бути використаний для вимірювання кутів у діапазоні 0-2pi, є простим, і може бути легко реалізований за допомогою цифрових засобів. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2020-12-13 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01 10.20998/2074-272X.2020.6.01 Electrical Engineering & Electromechanics; No. 6 (2020); 3-10 Электротехника и Электромеханика; № 6 (2020); 3-10 Електротехніка і Електромеханіка; № 6 (2020); 3-10 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01/218675 http://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01/218676 Copyright (c) 2020 K. I. Snitkov, Y. V. Shabatura https://creativecommons.org/licenses/by-nc/4.0 |