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...

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Autores principales:	K. I. Snitkov, Y. V. Shabatura
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2020
Materias:	angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/41c1999d62994260ae62933c33188acd
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spelling	oai:doaj.org-article:41c1999d62994260ae62933c33188acd2021-12-02T16:19:11ZA METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS10.20998/2074-272X.2020.6.012074-272X2309-3404https://doaj.org/article/41c1999d62994260ae62933c33188acd2020-12-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2020.6.01/218675https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Goal. 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.K. I. SnitkovY. V. ShabaturaNational Technical University "Kharkiv Polytechnic Institute"articleangular displacementsmathematical methodinduction sensorrotating transformercircular discrete convolutionorthogonal componentsprecisionphase shiftElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Vol 0, Iss 6, Pp 3-10 (2020)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	angular displacements mathematical method induction sensor rotating transformer circular discrete convolution orthogonal components precision phase shift Electrical engineering. Electronics. Nuclear engineering TK1-9971 K. I. Snitkov Y. V. Shabatura A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS
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.
format	article
author	K. I. Snitkov Y. V. Shabatura
author_facet	K. I. Snitkov Y. V. Shabatura
author_sort	K. I. Snitkov
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
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2020
url	https://doaj.org/article/41c1999d62994260ae62933c33188acd
work_keys_str_mv	AT kisnitkov amethodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT yvshabatura amethodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT kisnitkov methodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors AT yvshabatura methodofreducingtheerrorindeterminingtheangulardisplacementswhenusinginductivesensors
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A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS

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