Mathematical modelling of starting modes of induction motors with squirrel-cage rotor
Purpose. Development of methods and algorithms for calculation of starting modes of the induction motors with the squirrel-cage rotor. Methodology. Mathematical modelling of starting modes of asynchronous electric drives in various coordinate systems with the use of numerical methods for solving bou...
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| Datum: | 2021 |
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| Sprache: | English Ukrainian |
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National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
2021
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| Online Zugang: | http://eie.khpi.edu.ua/article/view/228869 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-228869 |
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ojs |
| institution |
Electrical Engineering & Electromechanics |
| baseUrl_str |
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| datestamp_date |
2021-04-10T12:41:46Z |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
induction motor mathematical models starting static characteristics transients saturation of the magnetic core current displacement compensation of reactive power |
| spellingShingle |
induction motor mathematical models starting static characteristics transients saturation of the magnetic core current displacement compensation of reactive power Malyar, V. S. Hamola, O. Ye. Maday, V. S. Vasylchyshyn, I. I. Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| topic_facet |
асинхронний двигун математичні моделі пускові статичні характеристики перехідні процеси насичення магнітопроводу витіснення струму компенсація реактивної потужності induction motor mathematical models starting static characteristics transients saturation of the magnetic core current displacement compensation of reactive power |
| format |
Article |
| author |
Malyar, V. S. Hamola, O. Ye. Maday, V. S. Vasylchyshyn, I. I. |
| author_facet |
Malyar, V. S. Hamola, O. Ye. Maday, V. S. Vasylchyshyn, I. I. |
| author_sort |
Malyar, V. S. |
| title |
Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_short |
Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_full |
Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_fullStr |
Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_full_unstemmed |
Mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_sort |
mathematical modelling of starting modes of induction motors with squirrel-cage rotor |
| title_alt |
Математичне моделювання пускових режимів асинхронних двигунів з короткозамкненим ротором |
| description |
Purpose. Development of methods and algorithms for calculation of starting modes of the induction motors with the squirrel-cage rotor. Methodology. Mathematical modelling of starting modes of asynchronous electric drives in various coordinate systems with the use of numerical methods for solving boundary problems for systems of differential equations and nonlinear systems of final equations and calculation with their use of static characteristics. Results. Methods and algorithms for numerical analysis of the starting modes of asynchronous electric drive have been developed, which make it possible to calculate the static characteristics and transients in fixed three-phase and orthogonal two-phase coordinate systems. Academic novelty. Known in the literature methods of calculation of starting modes have in their basis classical equivalent circuits with different approximate methods of calculating the parameters taking into account the saturation of a magnetic core and current displacement in a rotor winding. This approach requires a special solution of the adequacy problem for each problem. The methods described in the article for the saturation accounting use real magnetization characteristics of the main magnetic flux and leakage fluxes separately, and the skin effect phenomenon is taken into account by representing the squirrel-cage rotor winding as multilayer. Such mathematical model of the motor is universal and makes it possible to take into account the saturation and current displacement in any dynamic mode, including the start-up process. Mathematical models developed on the basis of the proposed methods provide the adequacy of results with a minimum amount of calculations and make it possible to perform optimization calculations. Practical value. Created on the basis of developed algorithms calculation programs allow to carry out with high reliability calculation of starting modes both in three-phase and two-phase axes of coordinates that gives the chance to analyze not only symmetric, but also asymmetric modes and to predict special features of functioning of system of the electric drive in the set technological conditions of operation and to form requirements to development and adjustment of starting systems with the purpose of maintenance of power effective and reliable operation of system of asynchronous electric drives. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine |
| publishDate |
2021 |
| url |
http://eie.khpi.edu.ua/article/view/228869 |
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AT malyarvs mathematicalmodellingofstartingmodesofinductionmotorswithsquirrelcagerotor AT hamolaoye mathematicalmodellingofstartingmodesofinductionmotorswithsquirrelcagerotor AT madayvs mathematicalmodellingofstartingmodesofinductionmotorswithsquirrelcagerotor AT vasylchyshynii mathematicalmodellingofstartingmodesofinductionmotorswithsquirrelcagerotor AT malyarvs matematičnemodelûvannâpuskovihrežimívasinhronnihdvigunívzkorotkozamknenimrotorom AT hamolaoye matematičnemodelûvannâpuskovihrežimívasinhronnihdvigunívzkorotkozamknenimrotorom AT madayvs matematičnemodelûvannâpuskovihrežimívasinhronnihdvigunívzkorotkozamknenimrotorom AT vasylchyshynii matematičnemodelûvannâpuskovihrežimívasinhronnihdvigunívzkorotkozamknenimrotorom |
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2025-07-17T11:48:26Z |
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| spelling |
eiekhpieduua-article-2288692021-04-10T12:41:46Z Mathematical modelling of starting modes of induction motors with squirrel-cage rotor Математичне моделювання пускових режимів асинхронних двигунів з короткозамкненим ротором Malyar, V. S. Hamola, O. Ye. Maday, V. S. Vasylchyshyn, I. I. асинхронний двигун математичні моделі пускові статичні характеристики перехідні процеси насичення магнітопроводу витіснення струму компенсація реактивної потужності induction motor mathematical models starting static characteristics transients saturation of the magnetic core current displacement compensation of reactive power Purpose. Development of methods and algorithms for calculation of starting modes of the induction motors with the squirrel-cage rotor. Methodology. Mathematical modelling of starting modes of asynchronous electric drives in various coordinate systems with the use of numerical methods for solving boundary problems for systems of differential equations and nonlinear systems of final equations and calculation with their use of static characteristics. Results. Methods and algorithms for numerical analysis of the starting modes of asynchronous electric drive have been developed, which make it possible to calculate the static characteristics and transients in fixed three-phase and orthogonal two-phase coordinate systems. Academic novelty. Known in the literature methods of calculation of starting modes have in their basis classical equivalent circuits with different approximate methods of calculating the parameters taking into account the saturation of a magnetic core and current displacement in a rotor winding. This approach requires a special solution of the adequacy problem for each problem. The methods described in the article for the saturation accounting use real magnetization characteristics of the main magnetic flux and leakage fluxes separately, and the skin effect phenomenon is taken into account by representing the squirrel-cage rotor winding as multilayer. Such mathematical model of the motor is universal and makes it possible to take into account the saturation and current displacement in any dynamic mode, including the start-up process. Mathematical models developed on the basis of the proposed methods provide the adequacy of results with a minimum amount of calculations and make it possible to perform optimization calculations. Practical value. Created on the basis of developed algorithms calculation programs allow to carry out with high reliability calculation of starting modes both in three-phase and two-phase axes of coordinates that gives the chance to analyze not only symmetric, but also asymmetric modes and to predict special features of functioning of system of the electric drive in the set technological conditions of operation and to form requirements to development and adjustment of starting systems with the purpose of maintenance of power effective and reliable operation of system of asynchronous electric drives. Розроблено методи і алгоритми числового аналізу пускових режимів асинхронного електроприводу, які дають змогу розраховувати статичні характеристики і перехідні процеси з урахуванням насичення магнітопроводу і явища скін-ефекту в стержнях ротора. Математичною основою розроблених алгоритмів є проекційний метод розв’язування нелінійних крайових задач, метод продовження по параметру, метод Ньютона розв’язування нелінійних систем рівнянь, числового інтегрування нелінійних систем диференціальних рівнянь. Розроблені математичні моделі дають змогу здійснювати з високою достовірністю розрахунок пускових режимів у трифазних і двофазних координатних осях, що дає змогу аналізувати не тільки симетричні, але й несиметричні режими і прогнозувати особливості функціонування системи асинхронного електроприводу в заданих технологічних умовах експлуатації. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2021-04-10 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/228869 10.20998/2074-272X.2021.2.02 Electrical Engineering & Electromechanics; No. 2 (2021); 9-15 Электротехника и Электромеханика; № 2 (2021); 9-15 Електротехніка і Електромеханіка; № 2 (2021); 9-15 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/228869/227889 http://eie.khpi.edu.ua/article/view/228869/227890 Copyright (c) 2021 V. S. Malyar, O. Ye. Hamola, V. S. Maday, I. I. Vasylchyshyn http://creativecommons.org/licenses/by-nc/4.0 |