Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment
Goal The purpose of the article is to further develop analytical methods for calculating and synthesizing power electronics systems with deep pulse width modulation (PWM). A three-circuit linear electric drive system for positioning the working body of the mechanism of onboard aircraft equipment, in...
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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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| Онлайн доступ: | http://eie.khpi.edu.ua/article/view/237809 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-237809 |
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eiekhpieduua-article-2378092021-07-29T04:36:40Z Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment Синтез цифрового регулятора головного контуру триконтурної системи лінійного електроприводу робочого органу механізму бортової авіаційної техніки Denisov, Y. O. Denisov, O. I. Bursala, O. O. linear electric drive discrete transfer function pulse width modulation positioning error optimal regulator лінійний електропривод дискретна передавальна функція широтно-імпульсна модуляція помилка позиціонування оптимальний регулятор Goal The purpose of the article is to further develop analytical methods for calculating and synthesizing power electronics systems with deep pulse width modulation (PWM). A three-circuit linear electric drive system for positioning the working body of the mechanism of onboard aircraft equipment, in which the linear electric motor is controlled from a pulse width converter (PWC), is considered. The power converter is included in the current loop. It has a noticeable effect on the level of current ripple, travel speed and positioning accuracy of the operating mechanism of a linear electric drive. Methodology. To analyze the processes in the current loop, a discrete transfer function of a pulse-width converter for PWM in the final zone and «in the large» is obtained on the basis of the statistical linearization of the modulation characteristics of the multi-loop PWM model. The modulation characteristic of each circuit of the model is obtained as a result of the Fourier series expansion in Walsh functions of the output voltage of the PWM during the PWM process. Statistical linearization of modulation characteristics is performed based on Hermite polynomials. Results. During the analysis, discrete transfer functions of closed current loops, velocity and open loop position were obtained, for which a digital controller was synthesized in the form of a recursive filter. Originality. The parameters of the regulator links are found, which make it possible to complete the transient process in four PWC switching periods with an overshoot of no more than 6 %. The analysis of the speed-optimized positioning process of a linear electric drive based on the LED AT 605TU motor is carried out. Practical significance. The purpose of the analysis was to establish the relationship between the switching period of the PWM and the value of the uncompensated constant, at which the pulsations of the positioning process are minimal while ensuring the minimum overshoot and maximum speed. It was found that the specified requirements are satisfied by the ratio between the switching period, PWC and uncompensated constant in the range of one or two. В триконтурній системі лінійного електроприводу, робочий орган якого реалізує поступальне переміщення при виконанні команди бортового комп’ютера літального апарату, врахований вплив пульсацій широтно-імпульсного перетворювача постійної напруги на процес позиціонування. З умови кінцевої тривалості процесу позиціонування синтезовано цифровий регулятор головного контуру системи і запропонована його реалізація у вигляді рекурсивного цифрового фільтру. 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/237809 10.20998/2074-272X.2021.4.05 Electrical Engineering & Electromechanics; No. 4 (2021); 39-45 Электротехника и Электромеханика; № 4 (2021); 39-45 Електротехніка і Електромеханіка; № 4 (2021); 39-45 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/237809/236489 http://eie.khpi.edu.ua/article/view/237809/236490 Copyright (c) 2021 Y. O. Denisov, O. I. Denisov, O. O. Bursala http://creativecommons.org/licenses/by-nc/4.0 |
| institution |
Electrical Engineering & Electromechanics |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
linear electric drive discrete transfer function pulse width modulation positioning error optimal regulator лінійний електропривод дискретна передавальна функція широтно-імпульсна модуляція помилка позиціонування оптимальний регулятор |
| spellingShingle |
linear electric drive discrete transfer function pulse width modulation positioning error optimal regulator лінійний електропривод дискретна передавальна функція широтно-імпульсна модуляція помилка позиціонування оптимальний регулятор Denisov, Y. O. Denisov, O. I. Bursala, O. O. Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| topic_facet |
linear electric drive discrete transfer function pulse width modulation positioning error optimal regulator лінійний електропривод дискретна передавальна функція широтно-імпульсна модуляція помилка позиціонування оптимальний регулятор |
| format |
Article |
| author |
Denisov, Y. O. Denisov, O. I. Bursala, O. O. |
| author_facet |
Denisov, Y. O. Denisov, O. I. Bursala, O. O. |
| author_sort |
Denisov, Y. O. |
| title |
Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_short |
Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_full |
Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_fullStr |
Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_full_unstemmed |
Synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_sort |
synthesis of the digital regulator of the main contour of the three-circuit system of the linear electric drive of the working body of the mechanism of onboard aviation equipment |
| title_alt |
Синтез цифрового регулятора головного контуру триконтурної системи лінійного електроприводу робочого органу механізму бортової авіаційної техніки |
| description |
Goal The purpose of the article is to further develop analytical methods for calculating and synthesizing power electronics systems with deep pulse width modulation (PWM). A three-circuit linear electric drive system for positioning the working body of the mechanism of onboard aircraft equipment, in which the linear electric motor is controlled from a pulse width converter (PWC), is considered. The power converter is included in the current loop. It has a noticeable effect on the level of current ripple, travel speed and positioning accuracy of the operating mechanism of a linear electric drive. Methodology. To analyze the processes in the current loop, a discrete transfer function of a pulse-width converter for PWM in the final zone and «in the large» is obtained on the basis of the statistical linearization of the modulation characteristics of the multi-loop PWM model. The modulation characteristic of each circuit of the model is obtained as a result of the Fourier series expansion in Walsh functions of the output voltage of the PWM during the PWM process. Statistical linearization of modulation characteristics is performed based on Hermite polynomials. Results. During the analysis, discrete transfer functions of closed current loops, velocity and open loop position were obtained, for which a digital controller was synthesized in the form of a recursive filter. Originality. The parameters of the regulator links are found, which make it possible to complete the transient process in four PWC switching periods with an overshoot of no more than 6 %. The analysis of the speed-optimized positioning process of a linear electric drive based on the LED AT 605TU motor is carried out. Practical significance. The purpose of the analysis was to establish the relationship between the switching period of the PWM and the value of the uncompensated constant, at which the pulsations of the positioning process are minimal while ensuring the minimum overshoot and maximum speed. It was found that the specified requirements are satisfied by the ratio between the switching period, PWC and uncompensated constant in the range of one or two. |
| 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/237809 |
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