RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT
Purpose. Development of a mathematical model that enables to detect resonance modes during asynchronous startup of salient-pole synchronous motors, in which capacitors are switched on to increase the electromagnetic moment in the circuit of the excitation winding. Methodology. The asynchronous mode...
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| Datum: | 2017 |
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National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
2017
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| Online Zugang: | http://eie.khpi.edu.ua/article/view/2074-272X.2017.4.04 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-108790 |
|---|---|
| record_format |
ojs |
| institution |
Electrical Engineering & Electromechanics |
| baseUrl_str |
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| datestamp_date |
2017-08-23T13:31:54Z |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
salient-pole synchronous motor capacitors excitation winding resonance static characteristics 621.313.32 |
| spellingShingle |
salient-pole synchronous motor capacitors excitation winding resonance static characteristics 621.313.32 Malyar, V. S. Maday, V. S. Kens, I. R. RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| topic_facet |
salient-pole synchronous motor capacitors excitation winding resonance static characteristics 621.313.32 явнополюсний синхронний двигун конденсатори обмотка збудження резонанс статичні характеристики 621.313.32 |
| format |
Article |
| author |
Malyar, V. S. Maday, V. S. Kens, I. R. |
| author_facet |
Malyar, V. S. Maday, V. S. Kens, I. R. |
| author_sort |
Malyar, V. S. |
| title |
RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| title_short |
RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| title_full |
RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| title_fullStr |
RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| title_full_unstemmed |
RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT |
| title_sort |
resonant processes in starting modes of synchronous motors with capacitors in the excitation windings circuit |
| title_alt |
РЕЗОНАНСНІ ПРОЦЕСИ В ПУСКОВИХ РЕЖИМАХ СИНХРОННИХ ДВИГУНІВ З КОНДЕНСАТОРАМИ В КОЛІ ОБМОТКИ ЗБУДЖЕННЯ |
| description |
Purpose. Development of a mathematical model that enables to detect resonance modes during asynchronous startup of salient-pole synchronous motors, in which capacitors are switched on to increase the electromagnetic moment in the circuit of the excitation winding. Methodology. The asynchronous mode is described by a system of differential equations of the electric equilibrium of motor circuits written in orthogonal coordinate axes. The basis of the developed algorithm is the mathematical model of the high-level adequacy motor and the projection method for solving the boundary value problem for the equations of the electric equilibrium of the circuits written in orthogonal coordinate axes, taking into account the presence of capacitors in the excitation winding. The coefficients of differential equations are the differential inductances of the motor circuits, which are determined on the basis of the calculation of its magnetic circuit. As a result of the asymmetry of the rotor windings in the asynchronous mode, the current coupling and currents change according to the periodic law. The problem of its definition is solved as a boundary one. Results. A mathematical model for studying the asynchronous characteristics of synchronous motors with capacitors in an excitation winding is developed, by means of which it is possible to investigate the influence of the size of the capacity on the motor's starting properties and the resonance processes which may arise in this case. Scientific novelty. The developed method of mathematical modeling is based on a fundamentally new mathematical basis for the calculation of stationary dynamic modes of nonlinear electromagnetic circuits, which enables to obtain periodic coordinate dependencies, without resorting to the calculation of the transients. The basis of the developed algorithm is based on the approximation of state variables by cubic splines, the projection method of decomposition for the boundary value problems of the calculation of the established periodic modes and the differential method of calculating static characteristics. Practical value. Using the developed algorithm of calculation it is possible to determine the required capacitances of the capacitors in the excitation winding to start the synchronous motor and to investigate the possibility of occurrence of the resonance at startup with the selected capacitance value of the capacitors by calculating the static characteristics as a sequence of asynchronous modes. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine |
| publishDate |
2017 |
| url |
http://eie.khpi.edu.ua/article/view/2074-272X.2017.4.04 |
| work_keys_str_mv |
AT malyarvs resonantprocessesinstartingmodesofsynchronousmotorswithcapacitorsintheexcitationwindingscircuit AT madayvs resonantprocessesinstartingmodesofsynchronousmotorswithcapacitorsintheexcitationwindingscircuit AT kensir resonantprocessesinstartingmodesofsynchronousmotorswithcapacitorsintheexcitationwindingscircuit AT malyarvs rezonansníprocesivpuskovihrežimahsinhronnihdvigunívzkondensatoramivkolíobmotkizbudžennâ AT madayvs rezonansníprocesivpuskovihrežimahsinhronnihdvigunívzkondensatoramivkolíobmotkizbudžennâ AT kensir rezonansníprocesivpuskovihrežimahsinhronnihdvigunívzkondensatoramivkolíobmotkizbudžennâ |
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eiekhpieduua-article-1087902017-08-23T13:31:54Z RESONANT PROCESSES IN STARTING MODES OF SYNCHRONOUS MOTORS WITH CAPACITORS IN THE EXCITATION WINDINGS CIRCUIT РЕЗОНАНСНІ ПРОЦЕСИ В ПУСКОВИХ РЕЖИМАХ СИНХРОННИХ ДВИГУНІВ З КОНДЕНСАТОРАМИ В КОЛІ ОБМОТКИ ЗБУДЖЕННЯ Malyar, V. S. Maday, V. S. Kens, I. R. salient-pole synchronous motor capacitors excitation winding resonance static characteristics 621.313.32 явнополюсний синхронний двигун конденсатори обмотка збудження резонанс статичні характеристики 621.313.32 Purpose. Development of a mathematical model that enables to detect resonance modes during asynchronous startup of salient-pole synchronous motors, in which capacitors are switched on to increase the electromagnetic moment in the circuit of the excitation winding. Methodology. The asynchronous mode is described by a system of differential equations of the electric equilibrium of motor circuits written in orthogonal coordinate axes. The basis of the developed algorithm is the mathematical model of the high-level adequacy motor and the projection method for solving the boundary value problem for the equations of the electric equilibrium of the circuits written in orthogonal coordinate axes, taking into account the presence of capacitors in the excitation winding. The coefficients of differential equations are the differential inductances of the motor circuits, which are determined on the basis of the calculation of its magnetic circuit. As a result of the asymmetry of the rotor windings in the asynchronous mode, the current coupling and currents change according to the periodic law. The problem of its definition is solved as a boundary one. Results. A mathematical model for studying the asynchronous characteristics of synchronous motors with capacitors in an excitation winding is developed, by means of which it is possible to investigate the influence of the size of the capacity on the motor's starting properties and the resonance processes which may arise in this case. Scientific novelty. The developed method of mathematical modeling is based on a fundamentally new mathematical basis for the calculation of stationary dynamic modes of nonlinear electromagnetic circuits, which enables to obtain periodic coordinate dependencies, without resorting to the calculation of the transients. The basis of the developed algorithm is based on the approximation of state variables by cubic splines, the projection method of decomposition for the boundary value problems of the calculation of the established periodic modes and the differential method of calculating static characteristics. Practical value. Using the developed algorithm of calculation it is possible to determine the required capacitances of the capacitors in the excitation winding to start the synchronous motor and to investigate the possibility of occurrence of the resonance at startup with the selected capacitance value of the capacitors by calculating the static characteristics as a sequence of asynchronous modes. Розглядається проблема появи резонансу під час асинхронного пуску явнополюсних синхронних двигунів, в яких для підвищення електромагнітного моменту в коло обмотки збудження увімкнено конденсатори. Для розрахунку пускових статичних характеристик та дослідження впливу величини ємності конденсаторів на перебіг пуску двигуна, зокрема появу резонансу, використовується математична модель синхронного двигуна явнополюсної конструкції високого рівня адекватності, в якій враховується насичення магнітопроводу. Асинхронний режим описується системою диференціальних рівнянь електричної рівноваги, записаної в ортогональних координатних осях з урахуванням наявності конденсаторів в обмотці збудження. Електромагнітні параметри контурів визначаються на основі розрахунку розгалуженої заступної схеми магнітного кола двигуна. В основу розробленого алгоритму покладено заснований на апроксимації кубічними сплайнами проекційний метод розв’язування крайових задач розрахунку усталених періодичних режимів і диференціальний метод розрахунку статичних характеристик. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2017-08-16 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2017.4.04 10.20998/2074-272X.2017.4.04 Electrical Engineering & Electromechanics; No. 4 (2017); 21-25 Электротехника и Электромеханика; № 4 (2017); 21-25 Електротехніка і Електромеханіка; № 4 (2017); 21-25 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/2074-272X.2017.4.04/103767 http://eie.khpi.edu.ua/article/view/2074-272X.2017.4.04/103768 Copyright (c) 2017 V. S. Malyar, V. S. Maday, I. R. Kens https://creativecommons.org/licenses/by-nc/4.0 |