Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity

Vibration reduction of induction motors is a significant problem that requires effective models for the effects of mechanical and electromagnetic unbalanced forces. This article presents a mathematical model of dynamics for induction motors with rotor mass eccentricity and static and dynamic magneti...

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Main Authors: Goroshko A. V., Zembytska M. V., Paiuk V. P.
Format: Article
Language:English
Published: Sumy State University 2024-05-01
Series:Журнал інженерних наук
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Online Access:https://jes.sumdu.edu.ua/induction-motor-vibrations-caused-by-mechanical-and-magnetic-rotor-eccentricity/
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author Goroshko A. V.
Zembytska M. V.
Paiuk V. P.
author_facet Goroshko A. V.
Zembytska M. V.
Paiuk V. P.
author_sort Goroshko A. V.
collection DOAJ
description Vibration reduction of induction motors is a significant problem that requires effective models for the effects of mechanical and electromagnetic unbalanced forces. This article presents a mathematical model of dynamics for induction motors with rotor mass eccentricity and static and dynamic magnetic eccentricity. The model allows for the influence of the gyroscopic torque of the rotor and considers the elastic-damping characteristics of each of the stator supports and their location. The model has eight degrees of freedom, which makes it possible to simulate transverse and axial vibrations of various designs’ rotors and housings of induction motors. The results of modeling the dynamics for a three-phase squirrel cage induction motor with 11 kW capacity agreed with those obtained by other authors. Simultaneously, new results were also obtained within the research. The simulation results showed that the static magnetic eccentricity causes the appearance of additional critical speed of the motor, and its value decreases in proportion to the growth of the number of pole pairs. The change of the moment of inertia of the motor at a mismatch of the main axis of symmetry of the stator and the rotor axis of rotation allowed for obtaining an actual frequency spectrum of free oscillations, including the rotational motion of the stator. Since the actual static magnetic eccentricity can additionally increase at operating frequencies due to the increase of bearing clearance caused by dynamic unbalanced load, it should be considered in the analysis of unbalanced magnetic pull. The angle of static magnetic eccentricity significantly affects the magnitude of radial vibrations. This feature should also be considered when selecting the locations of balancing weights during the rotor balancing procedure.
format Article
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issn 2312-2498
2414-9381
language English
publishDate 2024-05-01
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series Журнал інженерних наук
spelling doaj-art-65bd8f079b574dd98d87e672c3197c2e2025-08-20T03:34:14ZengSumy State UniversityЖурнал інженерних наук2312-24982414-93812024-05-0171D66D7710.21272/jes.2024.11(1).d8Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor EccentricityGoroshko A. V.0https://orcid.org/0000-0002-1386-2326Zembytska M. V.1https://orcid.org/0000-0002-6671-9937Paiuk V. P.2https://orcid.org/0000-0002-9969-8239Khmelnytskyi National University, 11, Instytutska St., 29016 Khmelnytskyi, UkraineKhmelnytskyi National University, 11, Instytutska St., 29016 Khmelnytskyi, UkraineKhmelnytskyi National University, 11, Instytutska St., 29016 Khmelnytskyi, UkraineVibration reduction of induction motors is a significant problem that requires effective models for the effects of mechanical and electromagnetic unbalanced forces. This article presents a mathematical model of dynamics for induction motors with rotor mass eccentricity and static and dynamic magnetic eccentricity. The model allows for the influence of the gyroscopic torque of the rotor and considers the elastic-damping characteristics of each of the stator supports and their location. The model has eight degrees of freedom, which makes it possible to simulate transverse and axial vibrations of various designs’ rotors and housings of induction motors. The results of modeling the dynamics for a three-phase squirrel cage induction motor with 11 kW capacity agreed with those obtained by other authors. Simultaneously, new results were also obtained within the research. The simulation results showed that the static magnetic eccentricity causes the appearance of additional critical speed of the motor, and its value decreases in proportion to the growth of the number of pole pairs. The change of the moment of inertia of the motor at a mismatch of the main axis of symmetry of the stator and the rotor axis of rotation allowed for obtaining an actual frequency spectrum of free oscillations, including the rotational motion of the stator. Since the actual static magnetic eccentricity can additionally increase at operating frequencies due to the increase of bearing clearance caused by dynamic unbalanced load, it should be considered in the analysis of unbalanced magnetic pull. The angle of static magnetic eccentricity significantly affects the magnitude of radial vibrations. This feature should also be considered when selecting the locations of balancing weights during the rotor balancing procedure.https://jes.sumdu.edu.ua/induction-motor-vibrations-caused-by-mechanical-and-magnetic-rotor-eccentricity/induction motoreccentricity of rotor massmagnetic eccentricityunbalanced magnetic pullaxial vibrationprocess innovation
spellingShingle Goroshko A. V.
Zembytska M. V.
Paiuk V. P.
Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
Журнал інженерних наук
induction motor
eccentricity of rotor mass
magnetic eccentricity
unbalanced magnetic pull
axial vibration
process innovation
title Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
title_full Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
title_fullStr Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
title_full_unstemmed Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
title_short Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity
title_sort induction motor vibrations caused by mechanical and magnetic rotor eccentricity
topic induction motor
eccentricity of rotor mass
magnetic eccentricity
unbalanced magnetic pull
axial vibration
process innovation
url https://jes.sumdu.edu.ua/induction-motor-vibrations-caused-by-mechanical-and-magnetic-rotor-eccentricity/
work_keys_str_mv AT goroshkoav inductionmotorvibrationscausedbymechanicalandmagneticrotoreccentricity
AT zembytskamv inductionmotorvibrationscausedbymechanicalandmagneticrotoreccentricity
AT paiukvp inductionmotorvibrationscausedbymechanicalandmagneticrotoreccentricity