Modeling dynamic and static operating modes of a low-power asynchronous electric drive
The article presents a mathematical model of the asynchronous motor in oblique coordinates, based on differential equations expressed in the standard Cauchy form. The differential equations of traditional models are implicitly formulated; therefore, during numerical implementation for prolonged pro...
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| Format: | Article |
| Language: | English |
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Lublin University of Technology
2025-06-01
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| Series: | Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska |
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| Online Access: | https://ph.pollub.pl/index.php/iapgos/article/view/6794 |
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| author | Viktor Lyshuk Sergiy Moroz Yosyp Selepyna Valentyn Zablotskyi Mykola Yevsiuk Viktor Satsyk Anatolii Tkachuk |
| author_facet | Viktor Lyshuk Sergiy Moroz Yosyp Selepyna Valentyn Zablotskyi Mykola Yevsiuk Viktor Satsyk Anatolii Tkachuk |
| author_sort | Viktor Lyshuk |
| collection | DOAJ |
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The article presents a mathematical model of the asynchronous motor in oblique coordinates, based on differential equations expressed in the standard Cauchy form. The differential equations of traditional models are implicitly formulated; therefore, during numerical implementation for prolonged processes, matrix coefficient rotation leads to significant time expenditure and the accumulation of errors during integration. This complex task is proposed to be addressed by ensuring that the differential equations of the electromechanical state are non-stiff and, importantly, written in standard Cauchy form. The standard Cauchy form is essential for analyzing asynchronous motors, as changes in the number of unknowns significantly restructure the coefficient matrix. This formulation of the equations is convenient for numerical integration, as explicit methods, which are considerably simpler than implicit methods, can be implemented. To create a mathematical model, coordinate transformations were performed based on the classical theory of electric machines. The advantage of the proposed method of using different coordinate axes is the possibility of analyzing new variables and obtaining constant coefficients in the equations of state of the electric motor. The model accounts for the electromagnetic interactions of the motor’s electrical circuits and their nonlinearity, enabling the simulation of electromagnetic and electromechanical processes. Transitional operating modes of the asynchronous motor have been modeled and analyzed. The proposed model can be utilized for analyzing the operation of motors both as standalone elements and as components of an electromechanical system. It is demonstrated that this model aligns with classical electrical machine theory. Simulation results are provided, along with their analysis.
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| format | Article |
| id | doaj-art-362de4af3a5c4eea8d041ccc95b08f21 |
| institution | OA Journals |
| issn | 2083-0157 2391-6761 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Lublin University of Technology |
| record_format | Article |
| series | Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska |
| spelling | doaj-art-362de4af3a5c4eea8d041ccc95b08f212025-08-20T02:35:04ZengLublin University of TechnologyInformatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska2083-01572391-67612025-06-0115210.35784/iapgos.6794Modeling dynamic and static operating modes of a low-power asynchronous electric driveViktor Lyshuk0https://orcid.org/0000-0003-4049-8467Sergiy Moroz1Yosyp Selepyna2Valentyn Zablotskyi3Mykola Yevsiuk4Viktor Satsyk5Anatolii Tkachuk6https://orcid.org/0000-0001-9085-7777Lutsk National Technical UniversityLutsk National Technical UniversityLutsk National Technical UniversityLutsk National Technical UniversityLutsk National Technical UniversityLutsk National Technical UniversityLutsk National Technical University The article presents a mathematical model of the asynchronous motor in oblique coordinates, based on differential equations expressed in the standard Cauchy form. The differential equations of traditional models are implicitly formulated; therefore, during numerical implementation for prolonged processes, matrix coefficient rotation leads to significant time expenditure and the accumulation of errors during integration. This complex task is proposed to be addressed by ensuring that the differential equations of the electromechanical state are non-stiff and, importantly, written in standard Cauchy form. The standard Cauchy form is essential for analyzing asynchronous motors, as changes in the number of unknowns significantly restructure the coefficient matrix. This formulation of the equations is convenient for numerical integration, as explicit methods, which are considerably simpler than implicit methods, can be implemented. To create a mathematical model, coordinate transformations were performed based on the classical theory of electric machines. The advantage of the proposed method of using different coordinate axes is the possibility of analyzing new variables and obtaining constant coefficients in the equations of state of the electric motor. The model accounts for the electromagnetic interactions of the motor’s electrical circuits and their nonlinearity, enabling the simulation of electromagnetic and electromechanical processes. Transitional operating modes of the asynchronous motor have been modeled and analyzed. The proposed model can be utilized for analyzing the operation of motors both as standalone elements and as components of an electromechanical system. It is demonstrated that this model aligns with classical electrical machine theory. Simulation results are provided, along with their analysis. https://ph.pollub.pl/index.php/iapgos/article/view/6794mathematical model differential equations numerical methods asynchronous motor electric drive |
| spellingShingle | Viktor Lyshuk Sergiy Moroz Yosyp Selepyna Valentyn Zablotskyi Mykola Yevsiuk Viktor Satsyk Anatolii Tkachuk Modeling dynamic and static operating modes of a low-power asynchronous electric drive Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska mathematical model differential equations numerical methods asynchronous motor electric drive |
| title | Modeling dynamic and static operating modes of a low-power asynchronous electric drive |
| title_full | Modeling dynamic and static operating modes of a low-power asynchronous electric drive |
| title_fullStr | Modeling dynamic and static operating modes of a low-power asynchronous electric drive |
| title_full_unstemmed | Modeling dynamic and static operating modes of a low-power asynchronous electric drive |
| title_short | Modeling dynamic and static operating modes of a low-power asynchronous electric drive |
| title_sort | modeling dynamic and static operating modes of a low power asynchronous electric drive |
| topic | mathematical model differential equations numerical methods asynchronous motor electric drive |
| url | https://ph.pollub.pl/index.php/iapgos/article/view/6794 |
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