Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis

Based on the combination of improved Local Mean Decomposition (LMD), Multi-scale Permutation Entropy (MPE) and Hidden Markov Model (HMM), the fault types of bearings are diagnosed. Improved LMD is proposed based on the self-similarity of roller bearing vibration signal by extending the right and lef...

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Main Authors: Yangde Gao, Francesco Villecco, Ming Li, Wanqing Song
Format: Article
Language:English
Published: MDPI AG 2017-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/19/4/176
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author Yangde Gao
Francesco Villecco
Ming Li
Wanqing Song
author_facet Yangde Gao
Francesco Villecco
Ming Li
Wanqing Song
author_sort Yangde Gao
collection DOAJ
description Based on the combination of improved Local Mean Decomposition (LMD), Multi-scale Permutation Entropy (MPE) and Hidden Markov Model (HMM), the fault types of bearings are diagnosed. Improved LMD is proposed based on the self-similarity of roller bearing vibration signal by extending the right and left side of the original signal to suppress its edge effect. First, the vibration signals of the rolling bearing are decomposed into several product function (PF) components by improved LMD respectively. Then, the phase space reconstruction of the PF1 is carried out by using the mutual information (MI) method and the false nearest neighbor (FNN) method to calculate the delay time and the embedding dimension, and then the scale is set to obtain the MPE of PF1. After that, the MPE features of rolling bearings are extracted. Finally, the features of MPE are used as HMM training and diagnosis. The experimental results show that the proposed method can effectively identify the different faults of the rolling bearing.
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spelling doaj.art-dc5e9ceb648b4060b17ebd80366c41292022-12-22T04:28:21ZengMDPI AGEntropy1099-43002017-04-0119417610.3390/e19040176e19040176Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing DiagnosisYangde Gao0Francesco Villecco1Ming Li2Wanqing Song3Joint Research Lab of Intelligent Perception and Control, School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, 333 Long Teng Road, Shanghai 201620, ChinaDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, ItalySchool of Information Science and Technology, East China Normal University, Shanghai 200241, ChinaJoint Research Lab of Intelligent Perception and Control, School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, 333 Long Teng Road, Shanghai 201620, ChinaBased on the combination of improved Local Mean Decomposition (LMD), Multi-scale Permutation Entropy (MPE) and Hidden Markov Model (HMM), the fault types of bearings are diagnosed. Improved LMD is proposed based on the self-similarity of roller bearing vibration signal by extending the right and left side of the original signal to suppress its edge effect. First, the vibration signals of the rolling bearing are decomposed into several product function (PF) components by improved LMD respectively. Then, the phase space reconstruction of the PF1 is carried out by using the mutual information (MI) method and the false nearest neighbor (FNN) method to calculate the delay time and the embedding dimension, and then the scale is set to obtain the MPE of PF1. After that, the MPE features of rolling bearings are extracted. Finally, the features of MPE are used as HMM training and diagnosis. The experimental results show that the proposed method can effectively identify the different faults of the rolling bearing.http://www.mdpi.com/1099-4300/19/4/176improved LMDmulti-scale permutation entropyMIFNNdelay timeembedding dimensionHMMback-propagation (BP)bearing fault diagnosis
spellingShingle Yangde Gao
Francesco Villecco
Ming Li
Wanqing Song
Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
Entropy
improved LMD
multi-scale permutation entropy
MI
FNN
delay time
embedding dimension
HMM
back-propagation (BP)
bearing fault diagnosis
title Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
title_full Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
title_fullStr Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
title_full_unstemmed Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
title_short Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
title_sort multi scale permutation entropy based on improved lmd and hmm for rolling bearing diagnosis
topic improved LMD
multi-scale permutation entropy
MI
FNN
delay time
embedding dimension
HMM
back-propagation (BP)
bearing fault diagnosis
url http://www.mdpi.com/1099-4300/19/4/176
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AT wanqingsong multiscalepermutationentropybasedonimprovedlmdandhmmforrollingbearingdiagnosis