A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR
Purpose. Development of a method for calculating mechanical characteristics of induction motors, taking into consideration saturation of the magnetic path and displacement of the current in the rotor bars. Methodology. The algorithm is based on calculating the steady-state mode of induction motor op...
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Дата: | 2019 |
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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”
2019
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Онлайн доступ: | http://eie.khpi.edu.ua/article/view/2074-272X.2019.2.02 |
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Назва журналу: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanicsid |
eiekhpieduua-article-164261 |
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Electrical Engineering & Electromechanics |
collection |
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language |
English Ukrainian |
topic |
induction motor squirrel-cage rotor static characteristics saturation displacement of the current 621.313.33 62–83–52 асинхронний двигун короткозамкнена обмотка статичні характеристики насичення витіснення струму 621.313.33 62–83–52 |
spellingShingle |
induction motor squirrel-cage rotor static characteristics saturation displacement of the current 621.313.33 62–83–52 асинхронний двигун короткозамкнена обмотка статичні характеристики насичення витіснення струму 621.313.33 62–83–52 Malyar, V. S. Malyar, A. V. Andreishyn, A. S. A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
topic_facet |
induction motor squirrel-cage rotor static characteristics saturation displacement of the current 621.313.33 62–83–52 асинхронний двигун короткозамкнена обмотка статичні характеристики насичення витіснення струму 621.313.33 62–83–52 |
format |
Article |
author |
Malyar, V. S. Malyar, A. V. Andreishyn, A. S. |
author_facet |
Malyar, V. S. Malyar, A. V. Andreishyn, A. S. |
author_sort |
Malyar, V. S. |
title |
A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
title_short |
A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
title_full |
A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
title_fullStr |
A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
title_full_unstemmed |
A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR |
title_sort |
method for calculating mechanical characteristics of induction motors with squirrel-cage rotor |
title_alt |
МЕТОД РОЗРАХУНКУ МЕХАНІЧНИХ ХАРАКТЕРИСТИК АСИНХРОННИХ ДВИГУНІВ З КОРОТКОЗАМКНЕНИМ РОТОРОМ |
description |
Purpose. Development of a method for calculating mechanical characteristics of induction motors, taking into consideration saturation of the magnetic path and displacement of the current in the rotor bars. Methodology. The algorithm is based on calculating the steady-state mode of induction motor operation for a set slip, described by a system of non-linear algebraic equations of electrical equilibrium, whereas the mechanical characteristic is evaluated as a set of steady-state modes using parameter continuation method. The idea of the steady-state mode calculation consists in determining vectors of currents and flux linkages of the motor circuits, using which makes it possible to evaluate the electromagnetic torque, active and reactive powers, etc. Results. The study resulted in the development of a method and algorithm for calculating static characteristics of induction motors, which allows looking into the effect of different laws of voltage regulation on the mechanical characteristics, depending on the frequency change. Originality. An algorithm for calculating mechanical characteristics of the squirrel-cage induction motor was developed based on the mathematical model of the induction motor in which electromagnetic parameters are calculated using real saturation curves for the main magnetic flux and leakage fluxes, and displacement of the current in the rotor bars is evaluated by presenting the rotor winding as a multi-layer structure. Applying the transformation of the electrical equilibrium equations into the orthogonal axes enabled a significant reduction of calculation volume without impairing the accuracy of the results. Practical value. The developed algorithm allows studying the effect of different laws of scalar regulation of the voltage on the mechanical characteristics of the induction motor in order to obtain the necessary torque-speed curves for their optimization. It can be used for programming frequency converters. |
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 |
2019 |
url |
http://eie.khpi.edu.ua/article/view/2074-272X.2019.2.02 |
work_keys_str_mv |
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first_indexed |
2024-06-01T14:39:13Z |
last_indexed |
2024-06-01T14:39:13Z |
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1800670023202635776 |
spelling |
eiekhpieduua-article-1642612019-04-16T12:30:41Z A METHOD FOR CALCULATING MECHANICAL CHARACTERISTICS OF INDUCTION MOTORS WITH SQUIRREL-CAGE ROTOR МЕТОД РОЗРАХУНКУ МЕХАНІЧНИХ ХАРАКТЕРИСТИК АСИНХРОННИХ ДВИГУНІВ З КОРОТКОЗАМКНЕНИМ РОТОРОМ Malyar, V. S. Malyar, A. V. Andreishyn, A. S. induction motor squirrel-cage rotor static characteristics saturation displacement of the current 621.313.33 62–83–52 асинхронний двигун короткозамкнена обмотка статичні характеристики насичення витіснення струму 621.313.33 62–83–52 Purpose. Development of a method for calculating mechanical characteristics of induction motors, taking into consideration saturation of the magnetic path and displacement of the current in the rotor bars. Methodology. The algorithm is based on calculating the steady-state mode of induction motor operation for a set slip, described by a system of non-linear algebraic equations of electrical equilibrium, whereas the mechanical characteristic is evaluated as a set of steady-state modes using parameter continuation method. The idea of the steady-state mode calculation consists in determining vectors of currents and flux linkages of the motor circuits, using which makes it possible to evaluate the electromagnetic torque, active and reactive powers, etc. Results. The study resulted in the development of a method and algorithm for calculating static characteristics of induction motors, which allows looking into the effect of different laws of voltage regulation on the mechanical characteristics, depending on the frequency change. Originality. An algorithm for calculating mechanical characteristics of the squirrel-cage induction motor was developed based on the mathematical model of the induction motor in which electromagnetic parameters are calculated using real saturation curves for the main magnetic flux and leakage fluxes, and displacement of the current in the rotor bars is evaluated by presenting the rotor winding as a multi-layer structure. Applying the transformation of the electrical equilibrium equations into the orthogonal axes enabled a significant reduction of calculation volume without impairing the accuracy of the results. Practical value. The developed algorithm allows studying the effect of different laws of scalar regulation of the voltage on the mechanical characteristics of the induction motor in order to obtain the necessary torque-speed curves for their optimization. It can be used for programming frequency converters. Запропоновано алгоритм розрахунку механічних характеристик асинхронних двигунів з короткозамкненим ротором при різних частотах напруги живлення. В основу розрахунку покладено математичну модель асинхронного двигуна, в якій враховується насичення магнітопроводу і витіснення струму в стержнях короткозамкненого ротора. Електромагнітні процеси у двигуні описуються системою нелінійних рівнянь електричної рівноваги, записаної в перетворених до ортогональних осей координат, яка розв’язується ітераційним методом Ньютона разом з методом продовження по параметру. Для обчислення потокозчеплень контурів та диференціальних індуктивностей використовуються характеристики намагнічування основним магнітним потоком, а також потоками розсіювання статора і ротора. Для урахування витіснення струму в стержнях ротора короткозамкнена обмотка подається у вигляді багатошарової структури, утвореної розбиттям стержнів по висоті на кілька шарів. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2019-04-15 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2019.2.02 10.20998/2074-272X.2019.2.02 Electrical Engineering & Electromechanics; No. 2 (2019); 9-13 Электротехника и Электромеханика; № 2 (2019); 9-13 Електротехніка і Електромеханіка; № 2 (2019); 9-13 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/2074-272X.2019.2.02/163252 http://eie.khpi.edu.ua/article/view/2074-272X.2019.2.02/163254 Copyright (c) 2019 V. S. Malyar, A. V. Malyar, A. S. Andreishyn https://creativecommons.org/licenses/by-nc/4.0 |