Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension

This paper is to propose a novel fault diagnosis method for broken rotor bars in squirrel-cage induction motor of hoister, which is based on duffing oscillator and multifractal dimension. Firstly, based on the analysis of the structure and performance of modified duffing oscillator, the end of trans...

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Main Authors: Zhike Zhao, Xin Wang, Xiaoguang Zhang
Format: Article
Language:English
Published: SAGE Publishing 2014-07-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1155/2014/849670
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spelling doaj-0c092bd3df484ba783667219ee5362f82020-11-25T02:52:30ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322014-07-01610.1155/2014/84967010.1155_2014/849670Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal DimensionZhike Zhao0Xin Wang1Xiaoguang Zhang2 School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaThis paper is to propose a novel fault diagnosis method for broken rotor bars in squirrel-cage induction motor of hoister, which is based on duffing oscillator and multifractal dimension. Firstly, based on the analysis of the structure and performance of modified duffing oscillator, the end of transitional slope from chaotic area to large-scale cycle area is selected as the optimal critical threshold of duffing oscillator by bifurcation diagrams and Lyapunov exponent. Secondly, the phase transformation duffing oscillator from chaos to intermittent chaos is sensitive to the signals, whose frequency difference is quite weak from the reference signal. The spectrums of the largest Lyapunov exponents and bifurcation diagrams of the duffing oscillator are utilized to analyze the variance in different parameters of frequency. Finally, this paper is to analyze the characteristics of both single fractal (box-counting dimension) and multifractal and make a comparison between them. Multifractal detrended fluctuation analysis is applied to detect extra frequency component of current signal. Experimental results reveal that the method is effective for early detection of broken rotor bars in squirrel-cage induction motor of hoister.https://doi.org/10.1155/2014/849670
collection DOAJ
language English
format Article
sources DOAJ
author Zhike Zhao
Xin Wang
Xiaoguang Zhang
spellingShingle Zhike Zhao
Xin Wang
Xiaoguang Zhang
Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
Advances in Mechanical Engineering
author_facet Zhike Zhao
Xin Wang
Xiaoguang Zhang
author_sort Zhike Zhao
title Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
title_short Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
title_full Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
title_fullStr Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
title_full_unstemmed Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension
title_sort fault diagnosis of broken rotor bars in squirrel-cage induction motor of hoister based on duffing oscillator and multifractal dimension
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8132
publishDate 2014-07-01
description This paper is to propose a novel fault diagnosis method for broken rotor bars in squirrel-cage induction motor of hoister, which is based on duffing oscillator and multifractal dimension. Firstly, based on the analysis of the structure and performance of modified duffing oscillator, the end of transitional slope from chaotic area to large-scale cycle area is selected as the optimal critical threshold of duffing oscillator by bifurcation diagrams and Lyapunov exponent. Secondly, the phase transformation duffing oscillator from chaos to intermittent chaos is sensitive to the signals, whose frequency difference is quite weak from the reference signal. The spectrums of the largest Lyapunov exponents and bifurcation diagrams of the duffing oscillator are utilized to analyze the variance in different parameters of frequency. Finally, this paper is to analyze the characteristics of both single fractal (box-counting dimension) and multifractal and make a comparison between them. Multifractal detrended fluctuation analysis is applied to detect extra frequency component of current signal. Experimental results reveal that the method is effective for early detection of broken rotor bars in squirrel-cage induction motor of hoister.
url https://doi.org/10.1155/2014/849670
work_keys_str_mv AT zhikezhao faultdiagnosisofbrokenrotorbarsinsquirrelcageinductionmotorofhoisterbasedonduffingoscillatorandmultifractaldimension
AT xinwang faultdiagnosisofbrokenrotorbarsinsquirrelcageinductionmotorofhoisterbasedonduffingoscillatorandmultifractaldimension
AT xiaoguangzhang faultdiagnosisofbrokenrotorbarsinsquirrelcageinductionmotorofhoisterbasedonduffingoscillatorandmultifractaldimension
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