Recognition of denatured biological tissue based on variational mode decomposition and multi-scale permutation entropy

Rolling bearings are the key components of rotating machinery. However, the incipient fault characteristics of a rolling bearing vibration signal are weak and difficult to extract. To solve this problem, this paper presents a novel rolling bearing vibration signal fault feature extraction and fault pattern recognition method based on variational mode decomposition (VMD), permutation entropy (PE) and support vector machines (SVM). In the proposed method, the bearing vibration signal is decomposed by VMD, and the intrinsic mode functions (IMFs) are obtained in different scales. Then, the PE values of each IMF are calculated to uncover the multi-scale intrinsic characteristics of the vibration signal. Finally, PE values of IMFs are fed into SVM to automatically accomplish the bearing condition identifications. The proposed method is evaluated by rolling bearing vibration signals. The results indicate that the proposed method is superior and can diagnose rolling bearing faults accurately.

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A Novel Feature Extraction Method for Ship-Radiated Noise Based on Variational Mode Decomposition and Multi-Scale Permutation Entropy

Entropy ◽

10.3390/e19070342 ◽

2017 ◽

Vol 19 (7) ◽

pp. 342 ◽

Cited By ~ 29

Author(s):

◽

Keyword(s):

Feature Extraction ◽

Extraction Method ◽

Permutation Entropy ◽

Variational Mode Decomposition ◽

Feature Extraction Method ◽

Radiated Noise ◽

Multi Scale ◽

Mode Decomposition

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Feature extraction of milling chatter based on optimized variational mode decomposition and multi-scale permutation entropy

The International Journal of Advanced Manufacturing Technology ◽

10.1007/s00170-021-07027-0 ◽

2021 ◽

Author(s):

Xianli Liu ◽

Zhixue Wang ◽

Maoyue Li ◽

Caixu Yue ◽

Steven Y. Liang ◽

...

Keyword(s):

Feature Extraction ◽

Permutation Entropy ◽

Variational Mode Decomposition ◽

Multi Scale ◽

Mode Decomposition ◽

Milling Chatter

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Classification of hand movements using variational mode decomposition and composite permutation entropy index with surface electromyogram signals

Future Generation Computer Systems ◽

10.1016/j.future.2019.11.025 ◽

2020 ◽

Vol 110 ◽

pp. 1023-1036 ◽

Cited By ~ 1

Author(s):

Feiyun Xiao ◽

Decai Yang ◽

Zhongming Lv ◽

Xiaohui Guo ◽

Zhengshi Liu ◽

...

Keyword(s):

Hand Movements ◽

Permutation Entropy ◽

Variational Mode Decomposition ◽

Surface Electromyogram ◽

Entropy Index ◽

Mode Decomposition

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Spacecraft Anomaly Recognition Based on Morphological Variational Mode Decomposition and JRD

Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University ◽

10.1051/jnwpu/20183610020 ◽

2018 ◽

Vol 36 (1) ◽

pp. 20-27

Author(s):

Haixu Jiang ◽

Ke Zhang ◽

Jingyu Wang ◽

Meibo Lü

Keyword(s):

Measured Data ◽

Variational Mode Decomposition ◽

Telemetry Data ◽

Recognition Method ◽

State Recognition ◽

Multi Scale ◽

Mode Decomposition ◽

Sample Data ◽

Orbital Spacecraft ◽

Weak Anomaly

Considering the difficulty in identifying the in-orbital spacecraft weak anomaly, a spacecraft anomaly state recognition method based on Morphological variational mode decomposition and JRD distance is proposed. First of all, the telemetry data of the spacecraft is decomposed into multi-scale modal functions with different frequencies via morphological variational modal decomposition. Then the Rényi entropy of each modal function is extracted, which is regarded as the feature of telemetry data. Finally, the recognition of spacecraft anomaly state is realized by comparing the JRD distance between the sample data and the measured data. The proposed method is verified by means of the telemetry data of the weak anomaly speed of a satellite reaction wheel. The simulation results demonstrate that the proposed method can effectively identify the anomaly of the spacecraft and has obvious advantage in recognition speed.

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Running Status Diagnosis of S700K Turnout Based on VMD-KPCA and Fuzzy Clustering

European Journal of Electrical Engineering ◽

10.18280/ejee.230406 ◽

2021 ◽

Vol 23 (4) ◽

pp. 327-335

Author(s):

Zheng Li ◽

Wenjun Wei ◽

Xiaochun Wu ◽

Yang Liu ◽

Jinbo Yu

Keyword(s):

Fuzzy Clustering ◽

Principal Component ◽

Kernel Principal Component Analysis ◽

Permutation Entropy ◽

Power Curve ◽

Limited Bandwidth ◽

Railway Line ◽

Multi Scale ◽

Fuzzy Clustering Analysis ◽

Mode Decomposition

S700K turnout is the key equipment of railway line conversion. The diagnosis of S700K turnout in a normal, sub-health, and fault running state is the primary premise to ensure the safe operation of the railway. Aiming at the consistency between the characteristics of the power curve of S700K turnout and its state information, this paper proposes a new algorithm based on variational mode decomposition (VMD) and kernel principal component analysis (KPCA) to extract the characteristics of the power curve of S700K turnout. It uses fuzzy clustering analysis to diagnose the running state of S700K turnout. First, to extract the detailed components of the action power curve, it is decomposed into intrinsic mode function with limited bandwidth (BIMF) by VMD. Secondly, the multi-scale permutation entropy (MPE) is used to characterize the signal complexity of the power curve and different BIMF components, which are taken as the running state feature set. After KPCA analysis, eigenvalues with a contribution rate greater than 95% are selected as the state eigenvector. The experimental results show that the diagnosis algorithm can effectively identify the running state of S700K turnout, meet the characteristics of fewer fault samples of S700K turnout, and do not need to train in advance, which is of great significance for field guidance.

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Research on Fault Extraction Method of Variational Mode Decomposition Based on Immunized Fruit Fly Optimization Algorithm

Entropy ◽

10.3390/e21040400 ◽

2019 ◽

Vol 21 (4) ◽

pp. 400 ◽

Cited By ~ 7

Author(s):

Zhou ◽

Guo ◽

Wang ◽

Du ◽

Wang ◽

...

Keyword(s):

Optimization Algorithm ◽

Fruit Fly ◽

Permutation Entropy ◽

Measured Signal ◽

Fruit Fly Optimization Algorithm ◽

Variational Mode Decomposition ◽

Fruit Fly Optimization ◽

Mode Decomposition ◽

Penalty Factor ◽

Combined Parameters

In recent years, a new method of fault diagnosis, named variational mode decomposition (VMD), has been widely used in industrial production, but the decomposition accuracy of VMD is determined by two parameters, which are respectively the decomposition layer number k and the penalty factor α, if the parameters are not properly selected, there will be over-decomposition or under-decomposition. In order to find an approach to determine the parameters adaptively, a method to optimize VMD by using the immune fruit fly optimization algorithm (IFOA) is proposed in this paper. In this method, permutation entropy is used as the fitness function, firstly, the immune fruit fly optimization algorithm is used to search the combined parameters of k and α in VMD, searching for the best combination parameters of k and α by iteration, and then uses the combined parameters to perform VMD, finally, the center frequency is determined through frequency spectrum analysis. The method mentioned is applied to the fault extraction of a simulated signal and a measured signal of a wind turbine gearbox, and the fault frequency is successfully extracted. Using ensemble empirical mode decomposition (EEMD) and singular spectrum decomposition (SSD) to compare with the proposed method, which validated feasibility of the proposed method.

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Fault Diagnosis of Rolling Element Bearings with a Two-Step Scheme Based on Permutation Entropy and Random Forests

Entropy ◽

10.3390/e21010096 ◽

2019 ◽

Vol 21 (1) ◽

pp. 96 ◽

Cited By ~ 9

Author(s):

Xiaoming Xue ◽

Chaoshun Li ◽

Suqun Cao ◽

Jinchao Sun ◽

Liyan Liu

Keyword(s):

Random Forests ◽

Classification Model ◽

Permutation Entropy ◽

Rolling Element Bearings ◽

Variational Mode Decomposition ◽

Statistical Classification ◽

Vibration Signals ◽

Mode Decomposition ◽

Single Scale ◽

Rolling Element

This study presents a two-step fault diagnosis scheme combined with statistical classification and random forests-based classification for rolling element bearings. Considering the inequality of features sensitivity in different diagnosis steps, the proposed method utilizes permutation entropy and variational mode decomposition to depict vibration signals under single scale and multiscale. In the first step, the permutation entropy features on the single scale of original signals are extracted and the statistical classification model based on Chebyshev’s inequality is constructed to detect the faults with a preliminary acquaintance of the bearing condition. In the second step, vibration signals with fault conditions are firstly decomposed into a collection of intrinsic mode functions by using variational mode decomposition and then multiscale permutation entropy features derived from each mono-component are extracted to identify the specific fault types. In order to improve the classification ability of the characteristic data, the out-of-bag estimation of random forests is firstly employed to reelect and refine the original multiscale permutation entropy features. Then the refined features are considered as the input data to train the random forests-based classification model. Finally, the condition data of bearings with different fault conditions are employed to evaluate the performance of the proposed method. The results indicate that the proposed method can effectively identify the working conditions and fault types of rolling element bearings.

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A Denoising Method for Fiber Optic Gyroscope Based on Variational Mode Decomposition and Beetle Swarm Antenna Search Algorithm

Entropy ◽

10.3390/e22070765 ◽

2020 ◽

Vol 22 (7) ◽

pp. 765

Author(s):

Pengfei Wang ◽

Yanbin Gao ◽

Menghao Wu ◽

Fan Zhang ◽

Guangchun Li ◽

...

Keyword(s):

Noise Reduction ◽

Fiber Optic ◽

Search Algorithm ◽

Permutation Entropy ◽

Navigation Systems ◽

Variational Mode Decomposition ◽

Fiber Optic Gyroscope ◽

Denoising Method ◽

Mode Decomposition ◽

Penalty Factor

Fiber optic gyroscope (FOG) is one of the important components of Inertial Navigation Systems (INS). In order to improve the accuracy of the INS, it is necessary to suppress the random error of the FOG signal. In this paper, a variational mode decomposition (VMD) denoising method based on beetle swarm antenna search (BSAS) algorithm is proposed to reduce the noise in FOG signal. Firstly, the BSAS algorithm is introduced in detail. Then, the permutation entropy of the band-limited intrinsic mode functions (BLIMFs) is taken as the optimization index, and two key parameters of VMD algorithm, including decomposition mode number K and quadratic penalty factor α , are optimized by using the BSAS algorithm. Next, a new method based on Hausdorff distance (HD) between the probability density function (PDF) of all BLIMFs and that of the original signal is proposed in this paper to determine the relevant modes. Finally, the selected BLIMF components are reconstructed to get the denoised signal. In addition, the simulation results show that the proposed scheme is better than the existing schemes in terms of noise reduction performance. Two experiments further demonstrate the priority of the proposed scheme in the FOG noise reduction compared with other schemes.

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