Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing
As a powerful tool for measuring complexity and randomness, multivariate multi-scale permutation entropy (MMPE) has been widely applied to the feature representation and extraction of multi-channel signals. However, MMPE still has some intrinsic shortcomings that exist in the coarse-grained procedur...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-01-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/24/2/160 |
| _version_ | 1797480634113851392 |
|---|---|
| author | Wanming Ying Jinyu Tong Zhilin Dong Haiyang Pan Qingyun Liu Jinde Zheng |
| author_facet | Wanming Ying Jinyu Tong Zhilin Dong Haiyang Pan Qingyun Liu Jinde Zheng |
| author_sort | Wanming Ying |
| collection | DOAJ |
| description | As a powerful tool for measuring complexity and randomness, multivariate multi-scale permutation entropy (MMPE) has been widely applied to the feature representation and extraction of multi-channel signals. However, MMPE still has some intrinsic shortcomings that exist in the coarse-grained procedure, and it lacks the precise estimation of entropy value. To address these issues, in this paper a novel non-linear dynamic method named composite multivariate multi-scale permutation entropy (CMMPE) is proposed, for optimizing insufficient coarse-grained process in MMPE, and thus to avoid the loss of information. The simulated signals are used to verify the validity of CMMPE by comparing it with the often-used MMPE method. An intelligent fault diagnosis method is then put forward on the basis of CMMPE, Laplacian score (LS), and bat optimization algorithm-based support vector machine (BA-SVM). Finally, the proposed fault diagnosis method is utilized to analyze the test data of rolling bearings and is then compared with the MMPE, multivariate multi-scale multiscale entropy (MMFE), and multi-scale permutation entropy (MPE) based fault diagnosis methods. The results indicate that the proposed fault diagnosis method of rolling bearing can achieve effective identification of fault categories and is superior to comparative methods. |
| first_indexed | 2024-03-09T22:02:52Z |
| format | Article |
| id | doaj.art-bd7f8da4c64a4e16873c2954bd212199 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T22:02:52Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bd7f8da4c64a4e16873c2954bd2121992023-11-23T19:46:58ZengMDPI AGEntropy1099-43002022-01-0124216010.3390/e24020160Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling BearingWanming Ying0Jinyu Tong1Zhilin Dong2Haiyang Pan3Qingyun Liu4Jinde Zheng5School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, ChinaSchool of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, ChinaKey Laboratory of Advanced Manufacturing Technology, Beijing University of Technology, Beijing 100124, ChinaSchool of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, ChinaSchool of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, ChinaSchool of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, ChinaAs a powerful tool for measuring complexity and randomness, multivariate multi-scale permutation entropy (MMPE) has been widely applied to the feature representation and extraction of multi-channel signals. However, MMPE still has some intrinsic shortcomings that exist in the coarse-grained procedure, and it lacks the precise estimation of entropy value. To address these issues, in this paper a novel non-linear dynamic method named composite multivariate multi-scale permutation entropy (CMMPE) is proposed, for optimizing insufficient coarse-grained process in MMPE, and thus to avoid the loss of information. The simulated signals are used to verify the validity of CMMPE by comparing it with the often-used MMPE method. An intelligent fault diagnosis method is then put forward on the basis of CMMPE, Laplacian score (LS), and bat optimization algorithm-based support vector machine (BA-SVM). Finally, the proposed fault diagnosis method is utilized to analyze the test data of rolling bearings and is then compared with the MMPE, multivariate multi-scale multiscale entropy (MMFE), and multi-scale permutation entropy (MPE) based fault diagnosis methods. The results indicate that the proposed fault diagnosis method of rolling bearing can achieve effective identification of fault categories and is superior to comparative methods.https://www.mdpi.com/1099-4300/24/2/160rolling bearingfault diagnosismultivariate multi-scale permutation entropycomposite multivariate multi-scale permutation entropyLaplacian score |
| spellingShingle | Wanming Ying Jinyu Tong Zhilin Dong Haiyang Pan Qingyun Liu Jinde Zheng Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing Entropy rolling bearing fault diagnosis multivariate multi-scale permutation entropy composite multivariate multi-scale permutation entropy Laplacian score |
| title | Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing |
| title_full | Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing |
| title_fullStr | Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing |
| title_full_unstemmed | Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing |
| title_short | Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing |
| title_sort | composite multivariate multi scale permutation entropy and laplacian score based fault diagnosis of rolling bearing |
| topic | rolling bearing fault diagnosis multivariate multi-scale permutation entropy composite multivariate multi-scale permutation entropy Laplacian score |
| url | https://www.mdpi.com/1099-4300/24/2/160 |
| work_keys_str_mv | AT wanmingying compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing AT jinyutong compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing AT zhilindong compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing AT haiyangpan compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing AT qingyunliu compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing AT jindezheng compositemultivariatemultiscalepermutationentropyandlaplacianscorebasedfaultdiagnosisofrollingbearing |