Implementation of PI-speed controller of DC motor by mathematical modeling
The work is devoted to mathematical modeling of a DC motor rotation speed control system based on the use of a PI controller. DC motors are widely used in industry for driving cyclical mechanisms where high speed response, high starting torque, linear control are required. The main methods for...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2022-11-01
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| Series: | Омский научный вестник |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2022/%E2%84%96%204%20(184)%20(%D0%9E%D0%9D%D0%92)/75-81%20%D0%A1%D0%B5%D0%BC%D1%91%D0%BD%D0%BE%D0%B2%20%D0%90.%20%D0%A1.,%20%D0%91%D0%B5%D0%B1%D0%B8%D1%85%D0%BE%D0%B2%20%D0%AE.%20%D0%92.,%20%D0%AF%D0%BA%D1%83%D1%88%D0%B5%D0%B2%20%D0%98.%20%D0%90.,%20%D0%A4%D0%B5%D0%B4%D0%BE%D1%80%D0%BE%D0%B2%20%D0%9E.%20%D0%92..pdf |
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| author | A. S. Semenov Yu. V. Bebikhov I. A. Yakushev O. V. Fedorov |
| author_facet | A. S. Semenov Yu. V. Bebikhov I. A. Yakushev O. V. Fedorov |
| author_sort | A. S. Semenov |
| collection | DOAJ |
| description | The work is devoted to mathematical modeling of a DC
motor rotation speed control system based on the use of a PI controller. DC motors are widely used in industry for
driving cyclical mechanisms where high speed response,
high starting torque, linear control are required. The main
methods for controlling the required characteristics of the
speed of rotation of a DC motor with independent excitation
are to control the parameters of the armature and excitation
windings fed from different sources. The PI controller is
widely used in programmable logic controllers due to the
simplicity and clarity of the mathematical apparatus. The
proposed mathematical model of the PI controller is based
on the choice of optimal parameters that ensure that the
actual speed is kept close to the set one. The optimum
PI controller coefficients KP and KI have been determined
to give the best result for a constant speed. The results
of computer simulation in MatLab are compared with the
results of simulation on a laboratory setup. The data are
obtained when using the PI controller for the steady-state
error and transient time look preferable to the simulation
model with voltage regulation. The developed mathematical
model shows the following main results: acceleration time
< 0,3 s; transient process time < 0,5 s; overshoot does not
exceed 0,5 %; the steady-state error does not exceed 0,1 %.
As a result of the study, a mathematical model is developed
and the operation of a DC motor with a PI controller is
analyzed, which makes it possible to almost completely
eliminate forced oscillations and a steady-state error. The
advantage of the proposed method of using the PI controller
is noted as a more familiar and easy-to-use control element
when implemented in existing control systems without any
special changes. |
| format | Article |
| id | doaj-art-5567670de4b14a92ad8632fee45af24a |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-5567670de4b14a92ad8632fee45af24a2025-02-02T06:59:39ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412022-11-014 (184)758110.25206/1813-8225-2022-184-75-81Implementation of PI-speed controller of DC motor by mathematical modelingA. S. Semenov0https://orcid.org/0000-0001-9940-3915Yu. V. Bebikhov1https://orcid.org/0000-0002-8366-4819I. A. Yakushev2https://orcid.org/0000-0003-2539-7334O. V. Fedorov3https://orcid.org/0000-0001-5268-6399Polytechnic Institute (branch) North-Eastern Federal University named after M. K. AmmosovPolytechnic Institute (branch) North-Eastern Federal University named after M. K. AmmosovPolytechnic Institute (branch) North-Eastern Federal University named after M. K. AmmosovNizhny Novgorod State Technical University named after R. E. AlekseevThe work is devoted to mathematical modeling of a DC motor rotation speed control system based on the use of a PI controller. DC motors are widely used in industry for driving cyclical mechanisms where high speed response, high starting torque, linear control are required. The main methods for controlling the required characteristics of the speed of rotation of a DC motor with independent excitation are to control the parameters of the armature and excitation windings fed from different sources. The PI controller is widely used in programmable logic controllers due to the simplicity and clarity of the mathematical apparatus. The proposed mathematical model of the PI controller is based on the choice of optimal parameters that ensure that the actual speed is kept close to the set one. The optimum PI controller coefficients KP and KI have been determined to give the best result for a constant speed. The results of computer simulation in MatLab are compared with the results of simulation on a laboratory setup. The data are obtained when using the PI controller for the steady-state error and transient time look preferable to the simulation model with voltage regulation. The developed mathematical model shows the following main results: acceleration time < 0,3 s; transient process time < 0,5 s; overshoot does not exceed 0,5 %; the steady-state error does not exceed 0,1 %. As a result of the study, a mathematical model is developed and the operation of a DC motor with a PI controller is analyzed, which makes it possible to almost completely eliminate forced oscillations and a steady-state error. The advantage of the proposed method of using the PI controller is noted as a more familiar and easy-to-use control element when implemented in existing control systems without any special changes.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2022/%E2%84%96%204%20(184)%20(%D0%9E%D0%9D%D0%92)/75-81%20%D0%A1%D0%B5%D0%BC%D1%91%D0%BD%D0%BE%D0%B2%20%D0%90.%20%D0%A1.,%20%D0%91%D0%B5%D0%B1%D0%B8%D1%85%D0%BE%D0%B2%20%D0%AE.%20%D0%92.,%20%D0%AF%D0%BA%D1%83%D1%88%D0%B5%D0%B2%20%D0%98.%20%D0%90.,%20%D0%A4%D0%B5%D0%B4%D0%BE%D1%80%D0%BE%D0%B2%20%D0%9E.%20%D0%92..pdfdc motorpi controllermathematical modelingmatlabrotation speederror |
| spellingShingle | A. S. Semenov Yu. V. Bebikhov I. A. Yakushev O. V. Fedorov Implementation of PI-speed controller of DC motor by mathematical modeling Омский научный вестник dc motor pi controller mathematical modeling matlab rotation speed error |
| title | Implementation of PI-speed controller of DC motor by mathematical modeling |
| title_full | Implementation of PI-speed controller of DC motor by mathematical modeling |
| title_fullStr | Implementation of PI-speed controller of DC motor by mathematical modeling |
| title_full_unstemmed | Implementation of PI-speed controller of DC motor by mathematical modeling |
| title_short | Implementation of PI-speed controller of DC motor by mathematical modeling |
| title_sort | implementation of pi speed controller of dc motor by mathematical modeling |
| topic | dc motor pi controller mathematical modeling matlab rotation speed error |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2022/%E2%84%96%204%20(184)%20(%D0%9E%D0%9D%D0%92)/75-81%20%D0%A1%D0%B5%D0%BC%D1%91%D0%BD%D0%BE%D0%B2%20%D0%90.%20%D0%A1.,%20%D0%91%D0%B5%D0%B1%D0%B8%D1%85%D0%BE%D0%B2%20%D0%AE.%20%D0%92.,%20%D0%AF%D0%BA%D1%83%D1%88%D0%B5%D0%B2%20%D0%98.%20%D0%90.,%20%D0%A4%D0%B5%D0%B4%D0%BE%D1%80%D0%BE%D0%B2%20%D0%9E.%20%D0%92..pdf |
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