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Fault Diagnosis of Rotating Machine

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (31 October 2019) | Viewed by 83536

Special Issue Editors


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Guest Editor
School of Mechanical & Manufacturing EngineeringThe University of New South Wales, Sydney, Australia
Interests: fault diagnosis; vibration analysis; measurement; mechanical engineering; diesel engines
Special Issues, Collections and Topics in MDPI journals

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Department of Electrical Engineering, Universitat de València, 46022 Valencia, Spain
Interests: electric motors; fault diagnosis; transient analysis; signal processing; wavelet analysis; infrared thermography; time-frequency transforms
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue invites original research papers that report on the state-of-the-art and recent advancements in fault diagnosis of rotating machine. Rotating machines are often used in industry, for example in oil refinery, pump oil, steel mill, mine, compressor, DC motor, synchronous motor, generator, fan, motor cycle, car, vehicles, railways, steel industries, power plants, mining and fuel industries etc.. A degradation of rotating machines depends on environment and operation time. Accidents, financial loss, unscheduled downtimes can be predicted based on fault diagnosis. The scope of this Special Issue encompasses applications in Engineering, Electrical Engineering, Measurement, Signal processing and analysis, Reliability. Review articles related to fault diagnosis and prognosis are also encouraged.

Prof. Dr. Adam Glowacz
Prof. Dr. Grzegorz Krolczyk
Prof. Dr. Zhixiong Li
Prof. Dr. Jose Alfonso Antonino Daviu
Guest Editors

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Keywords

  • signal processing
  • pattern recogniton
  • reliability
  • measurement
  • fault diagnosis
  • rotating machine

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Published Papers (19 papers)

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Editorial

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4 pages, 200 KiB  
Editorial
Fault Diagnosis of Rotating Machine
by Grzegorz Królczyk, Zhixiong Li and Jose Alfonso Antonino Daviu
Appl. Sci. 2020, 10(6), 1961; https://doi.org/10.3390/app10061961 - 13 Mar 2020
Cited by 8 | Viewed by 2836
Abstract
Rotating machines have been used in a wide variety of industries, such as manufacturing tools [...] Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)

Research

Jump to: Editorial

11 pages, 5023 KiB  
Article
A Novel Fault Diagnosis Method for High-Temperature Superconducting Field Coil of Superconducting Rotating Machine
by Seunghyun Song, Tae Kuk Ko, Yojong Choi and SangGap Lee
Appl. Sci. 2020, 10(1), 223; https://doi.org/10.3390/app10010223 - 27 Dec 2019
Cited by 7 | Viewed by 2748
Abstract
In this paper, a new method is presented for sensitive quench detection in high-temperature superconductor (HTS) rotating machinery. The normal zone propagation velocity of an HTS is about 1000 times slower than that of a low-temperature superconductor. Therefore, the propagation of normal zone [...] Read more.
In this paper, a new method is presented for sensitive quench detection in high-temperature superconductor (HTS) rotating machinery. The normal zone propagation velocity of an HTS is about 1000 times slower than that of a low-temperature superconductor. Therefore, the propagation of normal zone resistance, which occurs when the HTS transits from the superconducting state to the normal state, is also slower. Thus, it is difficult to detect the abnormal signals by voltage measurement using voltage taps. Moreover, the monitoring signal includes noise generated by interaction between the HTS rotating machinery and the industrial environment. Therefore, when quenching occurs in the HTS rotating machinery, a thermal runaway occurs in the hot spot. Furthermore, the magnetic energy stored in the HTS coil can damage the machinery. For these reasons, a new method is proposed for sensitive quench detection that reduces the noise generated from the power supply and from the HTS rotating machinery, using both an RLC resonance circuit and fast Fourier transform analysis. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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Figure 1
<p>Flow chart of novel fault diagnosis method for superconducting rotating machine.</p>
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<p>Equivalent circuit of the proposed quench detection method.</p>
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<p>Equivalent circuit to explain the quench detection method.</p>
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<p>Equivalent circuit of the simulation for verification of the proposed quench detection method.</p>
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<p>FFT analysis results using the insulated (INS) coil.</p>
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<p>Transfer function shape of the resonant circuit using the INS coil.</p>
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<p>FFT analysis results using the not-insulated (NI) coil.</p>
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<p>Transfer function shape of the resonant circuit using the NI coil.</p>
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<p>Equivalent circuit to explain the filter characteristics according to the shape of the transfer function: (<b>a</b>) INS coil and (<b>b</b>) NI coil.</p>
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<p>Experimental set-up for verification of the simulation results.</p>
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<p>Experimental results: (<b>a</b>) voltage signal measured at <span class="html-italic">R<sub>ext</sub></span>, (<b>b</b>) FFT analysis in the superconducting state, and (<b>c</b>) FFT analysis in the normal state.</p>
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<p>FFT analysis results of the electromagnetic force (EMF) signal (@70 Hz): (<b>a</b>) N = 100, (<b>b</b>) N = 500, and (<b>c</b>) N = 1000.</p>
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<p>FFT analysis results of the electromagnetic force (EMF) signal (@70 Hz): (<b>a</b>) N = 100, (<b>b</b>) N = 500, and (<b>c</b>) N = 1000.</p>
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18 pages, 1680 KiB  
Article
Fault Diagnosis of Rotating Electrical Machines Using Multi-Label Classification
by Adrienn Dineva, Amir Mosavi, Mate Gyimesi, Istvan Vajda, Narjes Nabipour and Timon Rabczuk
Appl. Sci. 2019, 9(23), 5086; https://doi.org/10.3390/app9235086 - 25 Nov 2019
Cited by 46 | Viewed by 7157
Abstract
Fault Detection and Diagnosis of electrical machine and drive systems are of utmost importance in modern industrial automation. The widespread use of Machine Learning techniques has made it possible to replace traditional motor fault detection techniques with more efficient solutions that are capable [...] Read more.
Fault Detection and Diagnosis of electrical machine and drive systems are of utmost importance in modern industrial automation. The widespread use of Machine Learning techniques has made it possible to replace traditional motor fault detection techniques with more efficient solutions that are capable of early fault recognition by using large amounts of sensory data. However, the detection of concurrent failures is still a challenge in the presence of disturbing noises or when the multiple faults cause overlapping features. Multi-label classification has recently gained popularity in various application domains as an efficient method for fault detection and monitoring of systems with promising results. The contribution of this work is to propose a novel methodology for multi-label classification for simultaneously diagnosing multiple faults and evaluating the fault severity under noisy conditions. In this research, the Electrical Signature Analysis as well as traditional vibration data have been considered for modeling. Furthermore, the performance of various multi-label classification models is compared. Current and vibration signals are acquired under normal and fault conditions. The applicability of the proposed method is experimentally validated under diverse fault conditions such as unbalance and misalignment. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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Graphical abstract

Graphical abstract
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<p>Flowchart of the proposed multi-label fault diagnosis system.</p>
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<p>The test bench; (1) brushless motor, (2) permanent magnet synchronous motor, (3) double fed asynchronous motor, (4) coupling; Bellows shaft coupling connects the generator and the motor, (5) inverter-driven cage induction machine.</p>
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<p>Block scheme of the data acquisition system.</p>
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<p>Fast Fourier Transform spectrum (upper chart) and time-domain signal (lower chart) of vibration data displayed online by the LabVIEW software during the measurement. A1 (white line) denotes the generator’s vibration signal, and A2 (red line) stands for the motor’s vibration signal.</p>
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<p>Fast Fourier Transform (FFT) spectra of the motor current (<span class="html-italic">Im</span>) stands for the motor’s current component <span class="html-italic">a</span>.</p>
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<p>Multitaper power spectral density estimation of generator current signal for fault frequency magnitude detection.</p>
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15 pages, 2752 KiB  
Article
The Average Coding Length of Huffman Coding Based Signal Processing and Its Application in Fault Severity Recognition
by Jiancheng Yin, Mingjia Lei, Huailiang Zheng, Yuantao Yang, Yuqing Li and Minqiang Xu
Appl. Sci. 2019, 9(23), 5051; https://doi.org/10.3390/app9235051 - 22 Nov 2019
Cited by 5 | Viewed by 5384
Abstract
The transient impact components in vibration signal, which are the major information for bearing fault severity recognition, are often interfered with by ambient noise. Meanwhile, for bearing fault severity recognition, the frequency band selection methods which are employed to pre-process the contaminated vibration [...] Read more.
The transient impact components in vibration signal, which are the major information for bearing fault severity recognition, are often interfered with by ambient noise. Meanwhile, for bearing fault severity recognition, the frequency band selection methods which are employed to pre-process the contaminated vibration signal only select the partial frequency band of the vibration signal and cause information loss of other frequency band. Aiming at this issue, this paper proposes a novel fault severity recognition method based on Huffman coding, which can retain all the information of the frequency band, and is applied for the first time to bearing fault severity recognition. Specifically, the average coding length of Huffman coding (ACLHC) of the original vibration signal is first calculated to reduce the noise and highlight the impact components of the signal. Then, the ACLHC is encoded by symbolic aggregate approximation (SAX) to reflect the modulation information of bearing. Finally, the Lempel‑Ziv indicator (LZ indicator) of the symbol sequence is calculated to reflect the fault severity. The proposed method is verified by the bearing datasets under different working conditions. Compared with the methods based on frequency band selection, the proposed method effectively recognizes the fault severity of bearing for more working conditions. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>The Huffman tree and Huffman coding.</p>
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<p>The calculation process of the proposed method.</p>
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<p>The waveforms at the signal-to-noise ratio (SNR) of 13dB. (<b>a</b>) Impact signal; (<b>b</b>) the impact signal with noise; (<b>c</b>) average coding length of Huffman coding (ACLHC); (<b>d</b>) protrugram; (<b>e</b>) sparsogram; (<b>f</b>) genetic algorithm sparsogram (GA-sparsogram).</p>
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<p>The waveforms and frequency spectrums at the SNR of 3 dB. (<b>a</b>) Impact signal; (<b>b</b>) the impact signal with noise; (<b>c</b>) average coding length of Huffman coding (ACLHC); (<b>d</b>) protrugram; (<b>e</b>) sparsogram; (<b>f</b>) genetic algorithm sparsogram (GA-sparsogram).</p>
Full article ">Figure 4 Cont.
<p>The waveforms and frequency spectrums at the SNR of 3 dB. (<b>a</b>) Impact signal; (<b>b</b>) the impact signal with noise; (<b>c</b>) average coding length of Huffman coding (ACLHC); (<b>d</b>) protrugram; (<b>e</b>) sparsogram; (<b>f</b>) genetic algorithm sparsogram (GA-sparsogram).</p>
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<p>The bearing test rig. (<b>a</b>) The test rig of Konstruktions-und Antriebstechnik (Kat); (<b>b</b>) The test rig of Dynamic and Identification Research Group (DIRG): (I) apparatus for accelerated life time test to obtain the damaged bearings; (II) modular test rig to obtain the vibration signals under different working conditions: (1) an electric motor; (2) a torque-measurement shaft; (3) a rolling bearing test module; (4) a flywheel; and (5) a load motor.</p>
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<p>The complexity values of Konstruktions-und Antriebstechnik datasets under different working conditions.</p>
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<p>The complexity values of Dynamic and Identification Research Group datasets under different working conditions. (<b>a</b>) 100 Hz; (<b>b</b>) 200 Hz; (<b>c</b>) 300 Hz; and (<b>d</b>) 400 Hz.</p>
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<p>The complexity values of Konstruktions-und Antriebstechnik datasets after different treatment.</p>
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<p>The complexity values of Dynamic and Identification Research Group datasets after different treatment. (<b>a</b>) 100 Hz; (<b>b</b>) 200 Hz; (<b>c</b>) 300 Hz; and (<b>d</b>) 400 Hz.</p>
Full article ">
20 pages, 5533 KiB  
Article
Linear Method for Diagnosis of Inter-Turn Short Circuits in 3-Phase Induction Motors
by Yeong-Jin Goh and On Kim
Appl. Sci. 2019, 9(22), 4822; https://doi.org/10.3390/app9224822 - 11 Nov 2019
Cited by 18 | Viewed by 4785
Abstract
When a turn-to-turn short fault occurs in an induction motor, it will be accompanied by vibration and heating, which will have adverse effects on the entire power system. Thus, turn-to-turn short fault diagnosis of the stator is required, and major accidents can be [...] Read more.
When a turn-to-turn short fault occurs in an induction motor, it will be accompanied by vibration and heating, which will have adverse effects on the entire power system. Thus, turn-to-turn short fault diagnosis of the stator is required, and major accidents can be prevented if an inter-turn short circuit (ITSC), which is the early stage of a turn-to-turn short, can be detected. This study reinterprets Park’s vector approach using Direct-Quadrature(D-Q) transformation for the linear separation of ITSCs and proposes an ITSC diagnosis method by defining the magnetic flux linkage pulsation and current change in the event of a turn-to-turn short. It is difficult to diagnose because the turn-to-turn short current change in an ITSC is considerably different from the induction motor loss. Hence, it was found through analysis that when the current change is considered through an analysis of the relationship between inductance and the winding number, the ITSC current becomes slightly smaller than the steady-state current. This was verified using the D-Q synchronous reference frame over time. We proposed a linear separation of the ITSC diagnosis from the steady state by considering the minimum values of the pulsating current as feature points. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Short circuit in a slot.</p>
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<p>D-Q transformation process: (<b>a</b>) D-Q stationary reference frame (<b>b</b>) D-Q synchronous reference frame.</p>
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<p>Changes to the current by the D-Q transformation: (<b>a</b>) 3-phase input current; (<b>b</b>) D-Q stationary reference frame; (<b>c</b>) D-Q synchronous reference frame over time.</p>
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<p>(<b>a</b>) Occurrence of turn-to-turn short of phase R and (<b>b</b>) D-Q transformation equivalent model of a turn-to-turn short.</p>
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<p>(<b>a</b>) Inductance by turn-to-turn short and definition of winding number and (<b>b</b>) two inductances by a turn-to-turn short.</p>
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<p>Experimental device configuration.</p>
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<p>Filtering process for noise in the input power: (<b>a</b>) before filtering and (<b>b</b>) after filtering.</p>
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<p>Method for configuring artificially turn short: (<b>a</b>) short of stator winding (<b>b</b>) external tab of the turn-short motor.</p>
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<p>Park’s vector approach (PVA) pattern: (<b>a</b>) steady state, (<b>b</b>) ITSC, (<b>c</b>) 4-turn short, and (<b>d</b>) 6-turn short.</p>
Full article ">Figure 9 Cont.
<p>Park’s vector approach (PVA) pattern: (<b>a</b>) steady state, (<b>b</b>) ITSC, (<b>c</b>) 4-turn short, and (<b>d</b>) 6-turn short.</p>
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<p>Stator fault diagnosis method using the distortion rate.</p>
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<p>Inter-turn short circuit (ITSC) monitoring using a D-Q synchronous reference frame.</p>
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<p>Comparison of turn-to-turn short sizes using the D-Q synchronous reference frame.</p>
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<p>Comparison of the turn-to-turn short sizes using the D-Q synchronous reference frame (change rate per second).</p>
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<p>Changes in the maximum, minimum, and average current by short-circuit type.</p>
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<p>Max–min reference frame according to the turn-to-turn short.</p>
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<p>Block diagram for turn short fault in stator.</p>
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11 pages, 3762 KiB  
Article
A New Concept of Instantaneous Whirling Speed for Cracked Rotor’s Axis Orbit
by Jingsong Xie, Jinglong Chen, Yizhen Peng and Yanyang Zi
Appl. Sci. 2019, 9(19), 4120; https://doi.org/10.3390/app9194120 - 2 Oct 2019
Cited by 8 | Viewed by 2776
Abstract
At present, the axis orbit (whirling) and the instantaneous angular speed (spinning) are important symptoms in the condition monitoring of rotor systems. However, because of the lack of research of the transient characteristics of axis orbit within a whirl cycle, the axis orbit [...] Read more.
At present, the axis orbit (whirling) and the instantaneous angular speed (spinning) are important symptoms in the condition monitoring of rotor systems. However, because of the lack of research of the transient characteristics of axis orbit within a whirl cycle, the axis orbit cannot reflect the instantaneous characteristics of the rotation during one whirling cycle like the instantaneous angular speed. Therefore, in this paper, a new concept of instantaneous whirling speed of axis orbit within a whirling cycle is proposed and defined. In addition, the transient characteristics of instantaneous whirling speed are studied. Meanwhile, the response mechanisms are qualitative analyzed through the study of the work of the additional stiffness excitation and the conversion relationship between the kinetic energy and the potential energy. Then, the minimum of the relative instantaneous whirling speed (RWS) is proposed as a potential monitoring index for crack severity. The instantaneous whirling speed is a new attribute of axis orbit and a new perspective for the vibration analysis of cracked rotors. The addition of this new attribute significantly increases the effect of axis orbit for distinguishing normal and cracked rotors. The new analysis perspective and the new diagnosis index are potential supplements for crack diagnosis. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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Figure 1

Figure 1
<p>Schematic diagram of rotor system: (<b>a</b>) The Jeffcott rotor with a transverse crack, (<b>b</b>) schematic diagram of the cracked cross section.</p>
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<p>The axis orbits of normal and cracked rotors: (<b>a</b>) <span class="html-italic">μ</span> = 0, (<b>b</b>) <span class="html-italic">μ</span> = 0.2.</p>
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<p>Steady state vibration response of normal system at <span class="html-italic">μ</span> = 0: (<b>a</b>) discrete axis orbit, (<b>b</b>) relative whirling speed.</p>
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<p>Steady state vibration response of cracked system at <span class="html-italic">μ</span> = 0.2: (<b>a</b>) discrete axis orbit, (<b>b</b>) relative whirling speed.</p>
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<p>The plot diagram of relative instantaneous whirling speed (RWS).</p>
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<p>Bently KR4 Rotor Test Rig and data acquisition system.</p>
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<p>Comparison of RWS: (<b>a</b>) no crack, (<b>b</b>) with crack.</p>
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<p>Line speed curves: (<b>a</b>) normal system, (<b>b</b>) cracked system.</p>
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<p>The additional stiffness excitation curves: (<b>a</b>) additional stiffness excitation forces, (<b>b</b>) the instantaneous power of the excitation forces.</p>
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<p>RWS for four crack depths: (<b>a</b>) <span class="html-italic">μ</span> = 0.05, (<b>b</b>) <span class="html-italic">μ</span> = 0.1, (<b>c</b>) <span class="html-italic">μ</span> = 0.2, (<b>d</b>) <span class="html-italic">μ</span> = 0.3.</p>
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<p>The trends of the two minima of RWS with the crack depths.</p>
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17 pages, 6846 KiB  
Article
Time Frequency Representation Enhancement via Frequency Matching Linear Transform for Bearing Condition Monitoring under Variable Speeds
by Juanjuan Shi, Guifu Du, Rongmei Ding and Zhongkui Zhu
Appl. Sci. 2019, 9(18), 3828; https://doi.org/10.3390/app9183828 - 12 Sep 2019
Cited by 9 | Viewed by 2915
Abstract
Instantaneous frequency (IF) of shaft rotation is pivotal for bearing fault diagnosis under variable speed operations. However, shaft IF cannot always be measured as tachometers are not allowed to be installed in every case due to design reasons and cost concerns. Extracting the [...] Read more.
Instantaneous frequency (IF) of shaft rotation is pivotal for bearing fault diagnosis under variable speed operations. However, shaft IF cannot always be measured as tachometers are not allowed to be installed in every case due to design reasons and cost concerns. Extracting the shaft IF ridge from time frequency representation (TFR) of vibration signals, therefore, becomes an alternative. Linear transform (LT), such as short time Fourier transform (STFT), has been widely adopted for such a purpose. Nevertheless, the accuracy of extracted IF ridges relies on the readability of TFR. Unfortunately, readability of TFR from STFT is often impaired by the smearing effect caused by non-synchronous frequencies between bases and signal components and limited time frequency resolution capability, which in turn adversely influences the accuracy of IF ridge extraction. To accurately extract IF ridges from vibration signals, this paper focuses on the first factor, which causes the smearing problem, and proposes a method named frequency matching linear transform (FMLT) to enhance the TFR, where transforming bases with frequencies varying with the shaft IF are constructed to alleviate the smearing effects. To construct the transforming bases with frequencies synchronous with shaft IF, a fast path optimization (FPO) algorithm, which generates all possible optimization paths among amplitude peaks and thereby ensures the continuity of extracted IF ridges, is adopted for IF pre-estimation. The TFR with improved readability can be subsequently obtained via FMLT, paving the way for accurate IF ridge extraction. Then, multiple IF ridges can be iteratively extracted using the FPO algorithm. The accuracy of extracted IF ridges before and after TFR enhancement is compared, indicating that the proposed FMLT can enhance the readability of TFR and lead to more accurate IF ridge extraction for bearing condition monitoring. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Illustration of fast path optimization (FPO): (<b>a</b>) amplitude peaks, (<b>b</b>) all possible paths, (<b>c</b>) the optimization path (reprinted from ref. [<a href="#B26-applsci-09-03828" class="html-bibr">26</a>]).</p>
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<p>Time frequency representation (TFR) of the simulated signal: (<b>a</b>) simulated signal, (<b>b</b>) Instantaneous frequency (IF) of the simulated signal, (<b>c</b>) short time Fourier transform (STFT)-resulting TFR and (<b>d</b>) chirplet transform (CT)-resulting TFR.</p>
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<p>Base frequencies of different linear transform (LT) methods: (<b>a</b>) base frequencies of STFT, (<b>b</b>) base frequencies of CT, (<b>c</b>) bases frequencies of the proposed frequency matching linear transform (FMLT), and (<b>d</b>) FMLT-resulting TFR.</p>
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<p>Time frequency analysis (TFA) for noisy multicomponent signal: (<b>a</b>) noisy signal, (<b>b</b>) real IF ridges of signal components, (<b>c</b>) TFR obtained using STFT, (<b>d</b>) TFR obtained using CT, and (<b>e</b>) TFR obtained using proposed FMLT.</p>
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<p>The flowchart of multiple IF ridge extraction.</p>
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<p>Experimental setup for outer race fault test.</p>
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<p>Outer race fault case: (<b>a</b>) Raw vibration signal, (<b>b</b>) TFR of the raw vibration signal, (<b>c</b>) lower frequency band signal, and (<b>d</b>) envelope of the resonant frequency band signal.</p>
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<p>Outer race fault case: (<b>a</b>) TFR of lower frequency band signal, (<b>b</b>) TFR of envelope of resonant frequency band signal, (<b>c</b>) extracted IF ridges from (<b>a</b>) using FPO, and (<b>d</b>) extracted IF ridges from (<b>b</b>) using FPO.</p>
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<p>Outer race fault case: illustration of the constructed frequencies of bases of FMLT.</p>
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<p>Processing results of the low and resonant frequency band signals of the outer race fault signal using the proposed FMLT: (<b>a</b>) FMLT-resulting TFR of the lower frequency band signal, (<b>b</b>) FMLT-resulting TFR of the resonant frequency band signal, (<b>c</b>) extracted IF ridges from (<b>a</b>) using FPO, and (<b>d</b>) extracted IF ridges from (<b>b</b>) using FPO.</p>
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<p>Experimental setup for inner race fault test.</p>
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<p>(<b>a</b>) Raw vibration signal from bearing with a local inner race fault, (<b>b</b>) TFR of the raw vibration signal, (<b>c</b>) lower frequency band signal, and (<b>d</b>) envelope of the resonant frequency band signal.</p>
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<p>Inner race fault case: (<b>a</b>) TFR of lower frequency band signal, (<b>b</b>) TFR of envelope of resonant frequency band signal, (<b>c</b>) extracted IF ridges from (<b>a</b>) using FPO, and (<b>d</b>) extracted IF ridges from (<b>b</b>) using FPO.</p>
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<p>Inner race fault case: illustration of the constructed frequencies of bases of FMLT.</p>
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<p>Processing results of the low and resonant frequency band signals of the inner race fault signal using the proposed FMLT: (<b>a</b>) FMLT-resulting TFR of the lower frequency band signal, (<b>b</b>) FMLT-resulting TFR of the resonant frequency band signal, (<b>c</b>) extracted IF ridges from (<b>a</b>) using the FPO, and (<b>d</b>) extracted IF ridges from (<b>b</b>) using the FPO.</p>
Full article ">
17 pages, 15790 KiB  
Article
Analysis of a Main Cabin Ventilation System in a Jack-Up Offshore Platform Part I: Numerical Modelling
by Yingchun Xie, Zepeng Zheng, Huibin Wang, Zhen Xu, Guijie Liu, Reza Malekian and Zhixiong Li
Appl. Sci. 2019, 9(15), 3185; https://doi.org/10.3390/app9153185 - 5 Aug 2019
Cited by 4 | Viewed by 4153
Abstract
This work aims to measure the thermodynamics of a main cabin ventilation system in a JU-2000E jack-up offshore platform. A three-dimensional (3D) physical model of the ventilation system was established, and the computational fluid dynamics (CFD) software (ANSYS FLUENT) was used to calculate [...] Read more.
This work aims to measure the thermodynamics of a main cabin ventilation system in a JU-2000E jack-up offshore platform. A three-dimensional (3D) physical model of the ventilation system was established, and the computational fluid dynamics (CFD) software (ANSYS FLUENT) was used to calculate the model thermodynamics. Numerical analysis was performed to investigate the influence mechanisms of the ventilation factors such as ventilation temperature and volume on the ventilation performance. The analysis results demonstrate that (1) top-setting of the exhaust vents is more effective than the side-setting in terms of high temperature reduction, (2) small ventilation temperature and volume can improve the ventilation efficiency, and (3) proper shutdown selection of the backup diesel engine can enhance the ventilation performance. Furthermore, the effect of humidity for the ventilation air was investigated. Lastly, an experimental platform was developed based on the simulation model. Experimental tests were carried out to evaluate the shutdown selection of the backup engine and have shown consistent results to that of the simulation model. The findings of this study provide valuable guidance in designing the ventilation system in the JU-2000E jack-up offshore platform. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Three-dimensional model of the main cabin of the offshore platform.</p>
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<p>(<b>a</b>) Overall layout of engine room; (<b>b</b>) Details of the diesel engine module; (<b>c</b>) Ventilation design; (<b>d</b>) Exhaust gas passage.</p>
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<p>(<b>a</b>) Overall layout of engine room; (<b>b</b>) Details of the diesel engine module; (<b>c</b>) Ventilation design; (<b>d</b>) Exhaust gas passage.</p>
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<p>Shutdown order: (<b>a</b>) overview, (<b>b</b>) left side, (<b>c</b>) middle side, and (<b>d</b>) right side.</p>
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<p>Four different arrangements of the exhaust vent: (<b>a</b>) left side arrangement, (<b>b</b>) left-right sides arrangement, (<b>c</b>) left-side and left-roof arrangement, and (<b>d</b>) left-side and right-roof arrangement.</p>
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<p>Cloud and streamline maps of the high-temperature distributions (&gt;55 °C). Volume sizes of the four arrangements are: (<b>a</b>) 589.1 m<sup>3</sup>, (<b>b</b>) 645.3 m<sup>3</sup>, (<b>c</b>) 418.7 m<sup>3</sup>, and (<b>d</b>) 593.9 m<sup>3</sup>.</p>
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<p>Cloud and streamline maps of the high-temperature distributions (&gt;55 °C). Volume sizes of the four arrangements are: (<b>a</b>) 589.1 m<sup>3</sup>, (<b>b</b>) 645.3 m<sup>3</sup>, (<b>c</b>) 418.7 m<sup>3</sup>, and (<b>d</b>) 593.9 m<sup>3</sup>.</p>
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<p>High-temperature region and air outlet–exhaust vent pressure ratio.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C in the conditions of (<b>a</b>) ventilation temperature 45 °C with 0.75 nominal ventilation volume, (<b>b</b>) 45 °C with nominal volume, and (<b>c</b>) 45 °C with 1.25 nominal volume.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C in the conditions of (<b>a</b>) ventilation temperature 45 °C with 0.75 nominal ventilation volume, (<b>b</b>) 45 °C with nominal volume, and (<b>c</b>) 45 °C with 1.25 nominal volume.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C in the conditions of (<b>a</b>) ventilation temperature 40 °C with 0.75 nominal volume, (<b>b</b>) 40 °C with nominal volume, and (<b>c</b>) 40 °C with 1.25 nominal volume.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C in the conditions of (<b>a</b>) ventilation temperature 35 °C with 0.75 nominal volume, (<b>b</b>) 35 °C with nominal volume, and (<b>c</b>) 35 °C with 1.25 nominal volume.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C in the conditions of (<b>a</b>) ventilation temperature 35 °C with 0.75 nominal volume, (<b>b</b>) 35 °C with nominal volume, and (<b>c</b>) 35 °C with 1.25 nominal volume.</p>
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<p>High-temperature volumes above 50 and 55 °C, and temperature streamlines between 45 and 60 °C with different spray cooling settings in <a href="#applsci-09-03185-t005" class="html-table">Table 5</a>: (<b>a</b>) 30% RH, (<b>b</b>) 50% RH, (<b>c</b>) 70% RH, and (<b>d</b>) 90% RH.</p>
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<p>Diagram and image of the experimental platform.</p>
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<p>Images of (<b>a</b>) heating sources and engine models, (<b>b</b>) engine thermal pack, and (<b>c</b>) axial flow ventilator.</p>
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<p>Images of (<b>a</b>) digital vortex flowmeter, (<b>b</b>) connection of vortex flowmeter and ventilator, and (<b>c</b>) thermal Infrared Imager.</p>
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<p>Illustration of (<b>a</b>) distribution of temperature sensors, (<b>b</b>) sensor locations, and (<b>c</b>) a PT100 temperature sensor.</p>
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<p>Images of (<b>a</b>) temperature display, (<b>b</b>) voltage-controlled power source, (<b>c</b>) digital wattmeter and (<b>d</b>) intelligent pressure anemoscope.</p>
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<p>Installation of the DY-100 digital vortex flowmeter.</p>
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18 pages, 1891 KiB  
Article
Fault Diagnosis of Rolling Bearings in Rail Train Based on Exponential Smoothing Predictive Segmentation and Improved Ensemble Learning Algorithm
by Lu Han, Chongchong Yu, Cuiling Liu, Yong Qin and Shijie Cui
Appl. Sci. 2019, 9(15), 3143; https://doi.org/10.3390/app9153143 - 2 Aug 2019
Cited by 18 | Viewed by 2681
Abstract
The rolling bearing is a key component of the bogie of the rail train. The working environment is complex, and it is easy to cause cracks and other faults. Effective rolling bearing fault diagnosis can provide an important guarantee for the safe operation [...] Read more.
The rolling bearing is a key component of the bogie of the rail train. The working environment is complex, and it is easy to cause cracks and other faults. Effective rolling bearing fault diagnosis can provide an important guarantee for the safe operation of the track while improving the resource utilization of the rolling bearing and greatly reducing the cost of operation. Aiming at the problem that the characteristics of the vibration data of the rolling bearing components of the railway train and the vibration mechanism model are difficult to establish, a method for long-term faults diagnosis of the rolling bearing of rail trains based on Exponential Smoothing Predictive Segmentation and Improved Ensemble Learning Algorithm is proposed. Firstly, the sliding time window segmentation algorithm of exponential smoothing is used to segment the rolling bearing vibration data, and then the segmentation points are used to construct the localized features of the data. Finally, an Improved AdaBoost Algorithm (IAA) is proposed to enhance the anti-noise ability. IAA, Back Propagation (BP) neural network, Support Vector Machine (SVM), and AdaBoost are used to classify the same dataset, and the evaluation indexes show that the IAA has the best classification effect. The article selects the raw data of the bearing experiment platform provided by the State Key Laboratory of Rail Traffic Control and Safety of Beijing Jiaotong University and the standard dataset of the American Case Western Reserve University for the experiment. Theoretical analysis and experimental results show the effectiveness and practicability of the proposed method. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Fault Diagnosis Process Chart.</p>
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<p>Sliding Window based on Exponential Smoothing Segmentation Algorithm flow chart.</p>
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<p>Sample clustering results.</p>
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<p>The Specific frame of AdaBoost.</p>
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<p>Typical failure of train rolling bearings. (<b>a</b>) experiment platform; (<b>b</b>) Inner fault; (<b>c</b>) Outer fault; (<b>d</b>) Rolling fault.</p>
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<p>Time-domain map of rail transit experimental data samples (4 Hz). (<b>a</b>) Time-domain diagram of Normal bearings; (<b>b</b>) Time-domain diagram of Outer fault.</p>
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<p>Time-domain plot of standard dataset samples. (<b>a</b>) Inner fault; (<b>b</b>) Outer fault; (<b>c</b>) Rolling fault; (<b>d</b>) Normal bearings.</p>
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<p>Classification experiment flow chart.</p>
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13 pages, 5809 KiB  
Article
Failure Diagnosis of Demagnetization in Interior Permanent Magnet Synchronous Motors Using Vibration Characteristics
by Takeo Ishikawa and Naoto Igarashi
Appl. Sci. 2019, 9(15), 3111; https://doi.org/10.3390/app9153111 - 1 Aug 2019
Cited by 21 | Viewed by 5203
Abstract
The detection of a precursor to the demagnetization of permanent magnets is very important because a high degree of reliability is necessary in permanent magnet synchronous motors (PMSMs). This paper investigated the diagnosis of very slight PM demagnetization. A part of the permanent [...] Read more.
The detection of a precursor to the demagnetization of permanent magnets is very important because a high degree of reliability is necessary in permanent magnet synchronous motors (PMSMs). This paper investigated the diagnosis of very slight PM demagnetization. A part of the permanent magnet was altered to non-magnetic material so as to mimic the effect of demagnetization. The vibration characteristics were clarified for low demagnetization in PMSMs driven under vector control by experiments and 3D finite element (FE) analysis. We found that the amplitude of some components of the vibration was approximately proportional to the demagnetization level of the PM and the load torque. Therefore, the measurement of vibration and torque is very useful for the estimation of the magnetization level of PMSMs under vector control except for under very light load. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Rotor of the experimental interior permanent magnet synchronous motor (IPMSM): (<b>a</b>) rotor configuration; (<b>b</b>) photograph of rotor.</p>
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<p>PMs for radial demagnetization: (<b>a</b>) magnet configuration; (<b>b</b>) photograph of magnet.</p>
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<p>PMs for axial demagnetization: (<b>a</b>) magnet configuration; (<b>b</b>) photograph of magnet.</p>
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<p>Experimental setup.</p>
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<p>Block diagram for a PMSM under a vector control strategy.</p>
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<p>Vibration waveforms at 70% load torque: (<b>a</b>) healthy motor; (<b>b</b>) R-7.5% motor; (<b>c</b>) Z-7.5% motor.</p>
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<p>Vibration waveforms at 70% load torque: (<b>a</b>) healthy motor; (<b>b</b>) R-7.5% motor; (<b>c</b>) Z-7.5% motor.</p>
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<p>FFT analysis of vibration waveforms emitted from the motor with radial demagnetization: (<b>a</b>) no load torque; (<b>b</b>) 70% load torque.</p>
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<p>FFT analysis of measured vibration waveforms emitted from the motor with axial demagnetization: (<b>a</b>) no load torque; (<b>b</b>) 70% load torque.</p>
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<p>Characteristics of the 12th vibration component relative to load torque: (<b>a</b>) radial demagnetization motor; (<b>b</b>) axial demagnetization motor.</p>
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<p>Experimental IPMSM.</p>
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<p>Finite element mesh of the cross-sectional region in the 3D model: (<b>a</b>) for electromagnetic field calculation; (<b>b</b>) for vibration calculation considering aluminum case.</p>
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<p>Electromagnetic force at a stator tooth calculated by 3D FEM: (<b>a</b>) electromagnetic force in the radial direction; (<b>b</b>) electromagnetic force in the circumferential direction.</p>
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<p>FFT analysis for calculated vibration waveforms: (<b>a</b>) no load; (<b>b</b>) 70% load.</p>
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<p>How to estimate the demagnetization level using the measured torque <span class="html-italic">T</span> and vibration <span class="html-italic">V</span>.</p>
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10 pages, 5883 KiB  
Article
Fault Diagnosis of Induction Motor Using Convolutional Neural Network
by Jong-Hyun Lee, Jae-Hyung Pack and In-Soo Lee
Appl. Sci. 2019, 9(15), 2950; https://doi.org/10.3390/app9152950 - 24 Jul 2019
Cited by 72 | Viewed by 9167
Abstract
Induction motors are among the most important components of modern machinery and industrial equipment. Therefore, it is necessary to develop a fault diagnosis system that detects the operating conditions of and faults in induction motors early. This paper presents an induction motor fault [...] Read more.
Induction motors are among the most important components of modern machinery and industrial equipment. Therefore, it is necessary to develop a fault diagnosis system that detects the operating conditions of and faults in induction motors early. This paper presents an induction motor fault diagnosis system based on a CNN (convolutional neural network) model. In the proposed method, vibration signal data are obtained from the induction motor experimental environment, and these values are input into the CNN. Then, the CNN performs fault diagnosis. In this study, fault diagnosis of an induction motor is performed in three states, namely, normal, rotor fault, and bearing fault. In addition, a GUI (graphical user interface) for the proposed fault diagnosis system is presented. The experimental results confirm that the proposed method is suitable for diagnosing rotor and bearing faults of induction motors. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Experimental setup.</p>
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<p>Fault types of induction motor.</p>
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<p>Block diagram of proposed fault diagnosis method.</p>
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<p>Structure of proposed CNN (convolutional neural network) model.</p>
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<p>Block diagram of learning process.</p>
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<p>GUI (graphical user interface) screen in LabVIEW.</p>
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<p>Experimental data.</p>
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<p>Result of induction motor fault diagnosis in simulation.</p>
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<p>Diagnosis results for rotor fault in real environment.</p>
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<p>Diagnosis results for bearing fault in real environment.</p>
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28 pages, 8270 KiB  
Article
Fault Diagnosis of Rolling Bearing Based on Multiscale Intrinsic Mode Function Permutation Entropy and a Stacked Sparse Denoising Autoencoder
by Juying Dai, Jian Tang, Faming Shao, Shuzhan Huang and Yangyang Wang
Appl. Sci. 2019, 9(13), 2743; https://doi.org/10.3390/app9132743 - 6 Jul 2019
Cited by 19 | Viewed by 4060
Abstract
Effective intelligent fault diagnosis of bearings is important for improving safety and reliability of machine. Benefiting from the training advantages, deep learning method can automatically and adaptively learn more abstract and high-level features without much priori knowledge. To realize representative features mining and [...] Read more.
Effective intelligent fault diagnosis of bearings is important for improving safety and reliability of machine. Benefiting from the training advantages, deep learning method can automatically and adaptively learn more abstract and high-level features without much priori knowledge. To realize representative features mining and automatic recognition of bearing health condition, a diagnostic model of stacked sparse denoising autoencoder (SSDAE) which combines sparse autoencoder (SAE) and denoising autoencoder (DAE) is proposed in this paper. The sparse criterion in SAE, corrupting operation in DAE and reasonable designing of the stack order of autoencoders help to mine essential information of the input and improve fault pattern classification robustness. In order to provide better input features for the constructed network, the raw non-stationary and nonlinear vibration signals are processed with ensemble empirical mode decomposition (EEMD) and multiscale permutation entropy (MPE). MPE features which are extracted based on both the selected characteristic frequency-related intrinsic mode function components (IMFs) and the raw signal, are used as low-level feature for the input of the proposed diagnostic model for health condition recognition and classification. Two experiments based on the Case Western Reserve University (CWRU) dataset and the measurement dataset from laboratory were conducted, and results demonstrate the effectiveness of the proposed method and highlight its excellent performance relative to existing methods. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Flow chart of the proposed diagnosis method.</p>
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<p>Permutation entropy (PE) of Gaussian white noise in different embedding dimensions.</p>
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<p>PE of Gauss white noise with different time delays.</p>
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<p>Structure of autoencoder (AE).</p>
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<p>The construction and training of the stacked sparse denoising autoencoder (SSDAE). (<b>a</b>) the shallow sparse autoencoder (SAE), (<b>b</b>) the shallow denoising autoencoder (DAE), (<b>c</b>) the constructed SSDAE network, and (<b>d</b>) the proposed supervised learning SSDAE network.</p>
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<p>Bearing test ring. A = fan end bearing; B = electronic motor; C = drive end bearing; D = torque transducer; E = dynamometer.</p>
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<p>Time domain waveform and spectrogram of the four health conditions. (<b>a</b>) Normal condition (N); (<b>b</b>) Outer race fault (ORF); (<b>c</b>) Ball fault (BF); (<b>d</b>) Inter race fault (IRF).</p>
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<p>Eight-order IMFs of a BF signal decomposed by ensemble empirical mode decomposition (EEMD).</p>
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<p>Spectrogram of a BF signal and its IMFss. (<b>a</b>) Spectrogram of a BF signal sample; (<b>b</b>) Spectrogram of the eight-order IMFs.</p>
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<p>Multiscale permutation entropy (MPE) of bearing signals for four health conditions with different scale factor.</p>
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<p>MPE of the raw vibration signals for four health conditions.</p>
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<p>MPE of intrinsic mode function 1 (IMF1) for four health conditions.</p>
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<p>MPE of IMF3 for four health conditions.</p>
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<p>Classification result of the proposed method for bearing dataset.</p>
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<p>Reconstruction error of the two schemes.</p>
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<p>The contrast chart of the iteration time between the two schemes.</p>
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<p>Effect of the number of neurons in two hidden layers.</p>
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<p>Classification accuracy of the proposed method with different sparsity parameters.</p>
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<p>Classification accuracy of the proposed method with different corruption levels.</p>
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<p>Visualization results of each layer.</p>
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<p>Rotor-bearing experimental system.</p>
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<p>Bearing single point fault and compound fault.</p>
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<p>Time domain waveform and spectrogram of different health conditions in Experiment 2. (<b>a</b>) Normal condition (N); (<b>b</b>) Outer race fault (ORF); (<b>c</b>) Ball fault (BF); (<b>d</b>) Inter race fault (IRF); (<b>e</b>) IRF+ORF; (<b>f</b>) IRF+BF; (<b>g</b>) ORF+BF.</p>
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<p>Time domain waveform and spectrogram of different health conditions in Experiment 2. (<b>a</b>) Normal condition (N); (<b>b</b>) Outer race fault (ORF); (<b>c</b>) Ball fault (BF); (<b>d</b>) Inter race fault (IRF); (<b>e</b>) IRF+ORF; (<b>f</b>) IRF+BF; (<b>g</b>) ORF+BF.</p>
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<p>Eight-order IMFs of an IRF+BF signal decomposed by EEMD.</p>
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<p>Spectrogram of an IRF+BF and its IMF Components. (<b>a</b>) Spectrogram of an IRF+BF signal sample; (<b>b</b>) Spectrogram of the eight-order IMFs.</p>
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<p>Spectrogram of an IRF+BF and its IMF Components. (<b>a</b>) Spectrogram of an IRF+BF signal sample; (<b>b</b>) Spectrogram of the eight-order IMFs.</p>
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<p>MPE of seven health conditions with different scale factors in Experiment 2.</p>
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<p>Confusion matrix diagram of the third test result using the proposed method.</p>
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<p>Reconstruction error of the two schemes in Experiment 2.</p>
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<p>Diagnosis results of the four tests.</p>
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18 pages, 10081 KiB  
Article
Application of Multi-Dimension Input Convolutional Neural Network in Fault Diagnosis of Rolling Bearings
by Tao Zan, Hui Wang, Min Wang, Zhihao Liu and Xiangsheng Gao
Appl. Sci. 2019, 9(13), 2690; https://doi.org/10.3390/app9132690 - 1 Jul 2019
Cited by 39 | Viewed by 6162
Abstract
Aiming at the problem of poor robustness of the intelligent diagnostic model, a fault diagnosis model of rolling bearing based on a multi-dimension input convolutional neural network (MDI-CNN) is proposed. Compared with the traditional convolution neural network, the proposed model has multiple input [...] Read more.
Aiming at the problem of poor robustness of the intelligent diagnostic model, a fault diagnosis model of rolling bearing based on a multi-dimension input convolutional neural network (MDI-CNN) is proposed. Compared with the traditional convolution neural network, the proposed model has multiple input layers. Therefore, it can fuse the original signal and processed signal—making full use of advantages of the convolutional neural networks to learn the original signal characteristics automatically, and also improving recognition accuracy and anti-jamming ability. The feasibility and validity of the proposed MDI-CNN are verified, and its advantages are proved by comparison with the other related models. Moreover, the robustness of the model is tested by adding the noise to the test set. Finally, the stability of the model is verified by two experiments. The experimental results show that the proposed model improves the recognition rate, robustness and convergence performance of the traditional convolution model and has good generalization ability. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>The structure of the Multi-Dimension Input convolutional neural network. C1 and C2 represent the convolutional layer 1 and convolutional layer 2, respectively, and P1 and P2 represent the pooling layer 1 and pooling layer 2, respectively.</p>
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<p>The flowchart of the validation method for the MDI-CNN model. Accuracy 1 and Accuracy 2 represent the classification accuracy obtained by entering normal test samples and test sample containing the noise into the trained MDI-CNN, respectively, and Accuracy 3 indicates the classification accuracy of the model after the incremental training on the noisy test samples. MDI-CNN, Multi-Dimension Input convolutional neural network; FFT, Fourier transformation; ESA, envelope spectrum analysis.</p>
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<p>Image of the bearing test rig.</p>
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<p>The method of data augment.</p>
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<p>The training errors.</p>
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<p>The accuracy of different models.</p>
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<p>Confusion matrix results with MDI-CNN.</p>
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<p>Feature visualization of different samples. (<b>a</b>) The raw samples. (<b>b</b>) Fully connected layer sample.</p>
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<p>Testing diagnosis results of different models under different noise intensity.</p>
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<p>Testing the accuracy of MDI-CNN after incremental training.</p>
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<p>Schematic diagram of the experimental platform.</p>
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<p>The time-domain signal for different fault types.</p>
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<p>Testing diagnosis results of different models under different noise intensity.</p>
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<p>Feature visualization of different samples. (<b>a</b>) Feature visualization of raw samples; (<b>b</b>) Feature visualization of noisy samples; (<b>c</b>) Feature visualization of FFT samples; (<b>d</b>) Feature visualization of ESA samples.</p>
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25 pages, 7949 KiB  
Article
Detecting and Learning Unknown Fault States by Automatically Finding the Optimal Number of Clusters for Online Bearing Fault Diagnosis
by Md Rashedul Islam, Young-Hun Kim, Jae-Young Kim and Jong-Myon Kim
Appl. Sci. 2019, 9(11), 2326; https://doi.org/10.3390/app9112326 - 6 Jun 2019
Cited by 20 | Viewed by 5056
Abstract
This paper proposes an online fault diagnosis system for bearings that detect emerging fault modes and then updates the diagnostic system knowledge (DSK) to incorporate information about the newly detected fault modes. New fault modes are detected using k-means clustering along with a [...] Read more.
This paper proposes an online fault diagnosis system for bearings that detect emerging fault modes and then updates the diagnostic system knowledge (DSK) to incorporate information about the newly detected fault modes. New fault modes are detected using k-means clustering along with a new cluster evaluation method, i.e., multivariate probability density function’s cluster distribution factor (MPDFCDF). In this proposed model, a heterogeneous pool of features is constructed from the signal. A hybrid feature selection model is adopted for selecting optimal feature for learning the model with existing fault mode. The proposed online fault diagnosis system detects new fault modes from unknown signals using k-means clustering with the help of proposed MPDFCDF cluster evaluation method. The DSK is updated whenever new fault modes are detected and updated DSK is used to classify faults using the k-nearest neighbor (k-NN) classifier. The proposed model is evaluated using acoustic emission signals acquired from low-speed rolling element bearings with different fault modes and severities under different rotational speeds. Experimental results present that the MPDFCDF cluster evaluation method can detect the optimal number of fault clusters, and the proposed online diagnosis model can detect newly emerged faults and update the DSK effectively, which improves the diagnosis performance in terms of the average classification performance. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Block diagram of the experimental setup.</p>
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<p>Cylindrical rolling element bearings, (<b>a</b>) parts of the bearing, (<b>b</b>) measurement of bearing.</p>
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<p>(<b>a</b>) Bearing fault signal collection test rig and (<b>b</b>) data acquisition system.</p>
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<p>Faulty bearing parts with different crack severities. (<b>a</b>) BCO (bearing crack on the outer surface) 3 mm, (<b>b</b>) BCI (bearing crack on the inner surface) 3 mm, (<b>c</b>) BCR (bearing crack on the roller surface) 3 mm, (<b>d</b>) BCO 12 mm, (<b>e</b>) BCI 12 mm, (<b>f</b>) BCR 10 mm.</p>
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<p>Flow diagram of the proposed online bearing fault diagnosis model, where <span class="html-italic">F<sub>dsk</sub></span> is the number of fault modes in the diagnostic system knowledge (DSK).</p>
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<p>Calculation of <span class="html-italic">N<sub>OFreqR</sub></span><sub>,<span class="html-italic">i</span></sub>, <span class="html-italic">N<sub>IFreqR</sub></span><sub>,<span class="html-italic">i</span></sub>, and <span class="html-italic">N<sub>RFreqR</sub></span><sub>,<span class="html-italic">i</span></sub>. (<b>a</b>) Defect frequencies of BCI; (<b>b</b>) defect frequencies of BCO; (<b>c</b>) defect frequencies of BCR.</p>
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<p>The flow of DSK construction by selecting discriminant fault signatures of detected fault modes.</p>
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<p>Feature subset evaluation algorithm: (<b>a</b>) Within-class compactness value, and (<b>b</b>) between-class distance value.</p>
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<p>Proposed fault mode detection using <span class="html-italic">k</span>-means clustering and a novel cluster evaluation algorithm to detect the optimal number of clusters <span class="html-italic">k.</span></p>
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<p>Initial centroids selection process with an example.</p>
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<p>Two cluster distribution examples, (<b>a</b>) well separated data into easily identifiable clusters and (<b>b</b>) two data groups are in close proximity to each other but far away from the other groups.</p>
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<p>Steps of the multivariate probability density function’s cluster distribution factor (MPDFCDF) cluster evaluation method.</p>
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<p>(<b>a</b>–<b>e</b>) Sample distribution of different datasets and optimal <span class="html-italic">k<sub>opt</sub></span> (blue big circle) selection using the compactness and separation measure of (<b>f</b>–<b>j</b>) clusters (COSES) method, (<b>k</b>–<b>o</b>) silhouette coefficient, and (<b>p</b>–<b>t</b>) the proposed MPDFCDF cluster evaluation method.</p>
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<p>(<b>a</b>–<b>e</b>) Sample distribution of different datasets and optimal <span class="html-italic">k<sub>opt</sub></span> (blue big circle) selection using the compactness and separation measure of (<b>f</b>–<b>j</b>) clusters (COSES) method, (<b>k</b>–<b>o</b>) silhouette coefficient, and (<b>p</b>–<b>t</b>) the proposed MPDFCDF cluster evaluation method.</p>
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<p>Diagnosis performance improvement for different test cases with different conditional datasets, i.e., (<b>a</b>) Dataset-1: 300 RPM, (<b>b</b>) Dataset-2: 350 RPM, (<b>c</b>) Dataset-3: 400 RPM, (<b>d</b>) Dataset-4: 450 RPM, and (<b>e</b>) Dataset-5: 500 RPM. The y-axis represents average classification accuracy (ACA) (%).</p>
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15 pages, 6116 KiB  
Article
Improving the Accuracy of Fault Frequency by Means of Local Mean Decomposition and Ratio Correction Method for Rolling Bearing Failure
by Yongqiang Duan, Chengdong Wang, Yong Chen and Peisen Liu
Appl. Sci. 2019, 9(9), 1888; https://doi.org/10.3390/app9091888 - 8 May 2019
Cited by 11 | Viewed by 2821
Abstract
The fault frequencies are as they are and cannot be improved. One can only improve its estimation quality. This paper proposes a fault diagnosis method by combining local mean decomposition (LMD) and the ratio correction method to process the short-time signals. Firstly, the [...] Read more.
The fault frequencies are as they are and cannot be improved. One can only improve its estimation quality. This paper proposes a fault diagnosis method by combining local mean decomposition (LMD) and the ratio correction method to process the short-time signals. Firstly, the vibration signal of rolling bearing is decomposed into a series of product functions (PFs) by LMD. The PF, which contains the richest fault information, is selected to perform envelope spectrum analysis by the Hilbert transform (HT). Secondly, the Hilbert envelope spectrum of the selected PF is corrected with the ratio correction method. Finally, higher precision fault frequencies are extracted from the corrected Hilbert envelope spectrum, and then the fault location is accurately determined. The proposed method of this paper can be used in online real-time monitoring technology of rolling bearing failure. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>(<b>a</b>) Schematic diagram spectrum correction; (<b>b</b>) spectrum of window function.</p>
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<p>The specific process of diagnostic method.</p>
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<p>The test stand for normal and faulty test data of ball bearings.</p>
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<p>Time-domain waveforms of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> with different sampling number: (<b>a</b>) The sampling number of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> is 12,000; (<b>b</b>) the number of first segment <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> is 2048.</p>
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<p>PFs of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> with different sampling number: (<b>a</b>) The sampling number of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> is 12000; (<b>b</b>) the number of first segment <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> is 2048.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> which is from <a href="#applsci-09-01888-f005" class="html-fig">Figure 5</a>a: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> which is from <a href="#applsci-09-01888-f005" class="html-fig">Figure 5</a>b: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> after calculating the remaining three segments of data: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>Time-domain waveforms of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> with different sampling number: (<b>a</b>) The sampling number of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> is 12,000; (<b>b</b>) the number of first segment <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> is 2048.</p>
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<p>PFs of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> with different sampling number: (<b>a</b>) The sampling number of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> is 12,000; (<b>b</b>) the number of first segment <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> is 2048.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> which is from <a href="#applsci-09-01888-f010" class="html-fig">Figure 10</a>a: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> which is from <a href="#applsci-09-01888-f010" class="html-fig">Figure 10</a>b: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>Comparison chart of the Hilbert envelope spectrum of <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>F</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> after calculating the remaining three segments of data: (<b>a</b>) Without spectrum correction; (<b>b</b>) with spectrum correction.</p>
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<p>The sample sets <math display="inline"><semantics> <mrow> <msub> <mi>S</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math>: (<b>a</b>) The sampling number is 12,000; (<b>b</b>) the sampling number is 2048.</p>
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<p>The sample sets <math display="inline"><semantics> <mrow> <msub> <mi>S</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>: (<b>a</b>) The sampling number is 12,000; (<b>b</b>) the sampling number is 2048.</p>
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12 pages, 5422 KiB  
Article
Nonlinear Blind Source Separation and Fault Feature Extraction Method for Mining Machine Diagnosis
by Hua Ding, Yiliang Wang, Zhaojian Yang and Olivia Pfeiffer
Appl. Sci. 2019, 9(9), 1852; https://doi.org/10.3390/app9091852 - 6 May 2019
Cited by 15 | Viewed by 3326
Abstract
Mining machines are strongly nonlinear systems, and their transmission vibration signals are nonlinear mixtures of different kinds of vibration sources. In addition, vibration signals measured by the accelerometer are contaminated by noise. As a result, it is inefficient and ineffective for the blind [...] Read more.
Mining machines are strongly nonlinear systems, and their transmission vibration signals are nonlinear mixtures of different kinds of vibration sources. In addition, vibration signals measured by the accelerometer are contaminated by noise. As a result, it is inefficient and ineffective for the blind source separation (BSS) algorithm to separate the critical independent sources associated with the transmission fault vibrations. For this reason, a new method based on wavelet de-noising and nonlinear independent component analysis (ICA) is presented in this paper to tackle the nonlinear BSS problem with additive noise. The wavelet de-noising approach was first employed to eliminate the influence of the additive noise in the BSS procedure. Then, the radial basis function (RBF) neural network combined with the linear ICA was applied to the de-noised vibration signals. Vibration sources involved with the machine faults were separated. Subsequently, wavelet package decomposition (WPD) was used to extract distinct fault features from the source signals. Lastly, an RBF classifier was used to recognize the fault patterns. Field data acquired from a mining machine was used to evaluate and validate the proposed diagnostic method. The experimental analysis results show that critical fault vibration source component can be separated by the proposed method, and the fault detection rate is superior to the linear ICA based approaches. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Process of fault diagnosis principle of mining machines. WPD, wavelet package decomposition; RBF, radial basis function; ICA, independent component analysis.</p>
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<p>Nonlinear blind separation of vibration signals of mining machines with additive noise.</p>
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<p>Sensor locations in the experiments.</p>
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<p>Time waveforms of measured vibration signals of the four sensors.</p>
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<p>Time waveforms of measured vibration signals after wavelet de-noising.</p>
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<p>Spectra of measured vibration signal of Sensor 3.</p>
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<p>Two independent sources separated by nonlinear ICA with spalling gear #1 and worn gear #2.</p>
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<p>Two independent sources separated by nonlinear ICA with spalling gear #1 and spalling gear #2.</p>
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<p>Two independent sources separated by nonlinear ICA with spalling gear #1 and broken tooth gear #2.</p>
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19 pages, 6167 KiB  
Article
Compound Faults Feature Extraction for Rolling Bearings Based on Parallel Dual-Q-Factors and the Improved Maximum Correlated Kurtosis Deconvolution
by Lingli Cui, Jianxi Du, Na Yang, Yonggang Xu and Liuyang Song
Appl. Sci. 2019, 9(8), 1681; https://doi.org/10.3390/app9081681 - 23 Apr 2019
Cited by 11 | Viewed by 2875
Abstract
Vibration analysis is one of the main effective ways for rolling bearing fault diagnosis, and a challenge is how to accurately separate the inner and outer race fault features from noisy compound faults signals. Therefore, a novel compound fault separation algorithm based on [...] Read more.
Vibration analysis is one of the main effective ways for rolling bearing fault diagnosis, and a challenge is how to accurately separate the inner and outer race fault features from noisy compound faults signals. Therefore, a novel compound fault separation algorithm based on parallel dual-Q-factors and improved maximum correlation kurtosis deconvolution (IMCKD) is proposed. First, the compound fault signal is sparse-decomposed by the parallel dual-Q-factor, and the low-resonance components of the signal (compound fault impact component and small amount of noise) are obtained, but it can only highlight the impact of compound faults, and failed to separate the inner and outer race compound fault signal. Then, the MCKD is improved (IMCKD) by optimizing the selection of parameters (the shift order M and the filter length L) based on the iterative calculation method with the Teager envelope spectral kurtosis (TEK) index. Finally, after the composite fault signal is filtered and de-noised by the proposed method, the inner and outer race fault signals are obtained respectively. The fault characteristic frequency is consistent with the theoretical calculation value. The results show that the proposed method can efficiently separate the mixed fault information and avoid the mutual interference between the components of the compound fault. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>The time-domain diagram of low Q-factor and high Q-factor.</p>
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<p>Analysis and synthesis filter banks for the dual-Q wavelet transform.</p>
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<p>The diagram of Teager energy operator under different SNRs, (<b>a</b>) −16 dB, (<b>b</b>) −12 dB, (<b>c</b>) −8 dB, (<b>d</b>) −4 dB, (<b>e</b>) 0 dB, (<b>f</b>) 4 dB, (<b>g</b>) 8 dB, (<b>h</b>) 12 dB. A—the partial enlargements of (<b>e</b>); B—the partial enlargements of (<b>f</b>).</p>
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<p>The diagram of Teager energy operator under different SNRs, (<b>a</b>) −16 dB, (<b>b</b>) −12 dB, (<b>c</b>) −8 dB, (<b>d</b>) −4 dB, (<b>e</b>) 0 dB, (<b>f</b>) 4 dB, (<b>g</b>) 8 dB, (<b>h</b>) 12 dB. A—the partial enlargements of (<b>e</b>); B—the partial enlargements of (<b>f</b>).</p>
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<p>The Teager envelope spectral kurtosis (TEK) values for different SNRs.</p>
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<p>The flow chart of the proposed method.</p>
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<p>The time-domain waveform of the single fault simulation signal: (<b>a</b>) Outer race; (<b>b</b>) Inner race.</p>
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<p>The time-domain waveform of the compound fault simulation signal: (<b>a</b>) Outer race and inner race fault; (<b>b</b>) compound signal with gauss noise.</p>
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<p>The analysis results of case 1 with the parallel dual-Q-factor bases sparse decomposition: (<b>a</b>) Low resonance component; (<b>b</b>) Hilbert envelope spectrum.</p>
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<p>The variation curves of MTEK and TEK for case 1: (<b>a</b>) T<span class="html-italic"><sub>o</sub></span> = 248, the tendency of MTEK with M; (<b>b</b>) T<span class="html-italic"><sub>o</sub></span> = 248, the iterative result between L and TEK; (<b>c</b>) T<span class="html-italic"><sub>i</sub></span> = 51, the tendency of MTEK with M; (<b>d</b>) T<span class="html-italic"><sub>i</sub></span> = 51, the iterative result between L and TEK.</p>
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<p>The analyzed results of case 1 with the proposed method: (<b>a</b>) T<span class="html-italic"><sub>o</sub></span> = 248, low resonance component; (<b>b</b>) T<span class="html-italic"><sub>o</sub></span> = 248, Hilbert envelope spectrum; (<b>c</b>) T<span class="html-italic"><sub>i</sub></span> = 51, low resonance component; (<b>d</b>) T<span class="html-italic"><sub>i</sub></span> = 51, Hilbert envelope spectrum.</p>
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<p>Schematic diagram of the experimental bench system: ① Three-phase asynchronous motor; ② flexible shaft coupling; ③ the bearing with compound fault; ④ bearing rotor; ⑤ the normal bearing.</p>
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<p>The experimental bench system.</p>
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<p>The bearing with compound fault.</p>
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<p>Compound fault vibration signal and its frequency spectrum.</p>
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<p>The analysis results of case 2 with the parallel dual-Q-factor bases sparse decomposition: (<b>a</b>) Low resonance component; (<b>b</b>) envelope spectrum.</p>
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<p>The variation curves of MTEK and TEK for case 2: (<b>a</b>) T<span class="html-italic"><sub>o</sub></span> = 200, the tendency of MTEK with M; (<b>b</b>) T<span class="html-italic"><sub>o</sub></span> = 200, the TEK result for outer race; (<b>c</b>) T<span class="html-italic"><sub>i</sub></span> = 125, the tendency of MTEK with M; (<b>d</b>) T<span class="html-italic"><sub>i</sub></span> = 125, the TEK result for outer race.</p>
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<p>The variation curves of MTEK and TEK for case 2: (<b>a</b>) T<span class="html-italic"><sub>o</sub></span> = 200, the tendency of MTEK with M; (<b>b</b>) T<span class="html-italic"><sub>o</sub></span> = 200, the TEK result for outer race; (<b>c</b>) T<span class="html-italic"><sub>i</sub></span> = 125, the tendency of MTEK with M; (<b>d</b>) T<span class="html-italic"><sub>i</sub></span> = 125, the TEK result for outer race.</p>
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<p>The analyzed results of case 2 with the proposed method: (<b>a</b>) T<span class="html-italic"><sub>o</sub></span> = 200, low resonance component; (<b>b</b>) T<span class="html-italic"><sub>o</sub></span> = 200, Hilbert envelope spectrum of (<b>a</b>); (<b>c</b>) T<span class="html-italic"><sub>i</sub></span> = 125, low resonance component; (<b>d</b>) T<span class="html-italic"><sub>i</sub></span> = 125, Hilbert envelope spectrum of (<b>c</b>).</p>
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14 pages, 344 KiB  
Article
Dependency Model-Based Multiple Fault Diagnosis Using Knowledge of Test Result and Fault Prior Probability
by Xiaofeng Lv, Deyun Zhou, Ling Ma and Yongchuan Tang
Appl. Sci. 2019, 9(2), 311; https://doi.org/10.3390/app9020311 - 16 Jan 2019
Cited by 9 | Viewed by 2918
Abstract
Aiming at solving the multiple fault diagnosis problem as well as the sequence of all the potential multiple faults simultaneously, a new multiple fault diagnosis method based on the dependency model method as well as the knowledge in test results and the prior [...] Read more.
Aiming at solving the multiple fault diagnosis problem as well as the sequence of all the potential multiple faults simultaneously, a new multiple fault diagnosis method based on the dependency model method as well as the knowledge in test results and the prior probability of each fault type is proposed. Firstly, the dependency model of the system can be built and used to formulate the fault-test dependency matrix. Then, the dependency matrix is simplified according to the knowledge in the test results of the system. After that, the logic ‘OR’ operation is performed on the feature vectors of the fault status in the simplified dependency matrix to formulate the multiple fault dependency matrix. Finally, fault diagnosis is based on the multiple fault dependency matrix and the ranking of each fault type calculated basing on the prior probability of each fault status. An illustrative numerical example and a case study are presented to verify the effectiveness and superiority of the proposed method. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>The flowchart of the dependency model-based multiple fault diagnosis method.</p>
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<p>The dependency model of a control system.</p>
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<p>Fault-diagnosis tree of a certain control system.</p>
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21 pages, 8610 KiB  
Article
Recognition of Acoustic Signals of Commutator Motors
by Adam Glowacz
Appl. Sci. 2018, 8(12), 2630; https://doi.org/10.3390/app8122630 - 15 Dec 2018
Cited by 55 | Viewed by 4708
Abstract
Most faults can stop a motor, and time is lost in fixing the damaged motor. This is a reason why it is essential to develop fault-detection methods. This paper describes the acoustic-based fault detection of two commutator motors: the commutator motor of an [...] Read more.
Most faults can stop a motor, and time is lost in fixing the damaged motor. This is a reason why it is essential to develop fault-detection methods. This paper describes the acoustic-based fault detection of two commutator motors: the commutator motor of an electric impact drill and the commutator motor of a blender. Acoustic signals were recorded by a smartphone. Five states of the electric impact drill and three states of the blender were analysed: for the electric impact drill, these states were healthy, damaged gear train, faulty fan with five broken rotor blades, faulty fan with 10 broken rotor blades, and shifted brush (motor off); for the blender, these states were healthy, faulty fan with two broken rotor blades, and faulty fan with five broken rotor blades. A feature extraction method, MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS (Method of Selection of Amplitudes of Frequency Ratio of 27% Multiexpanded 4 Groups), was developed and used for the computation of feature vectors. The nearest mean (NM) and support vector machine (SVM) classifiers were used for data classification. Analysis of the recognition of acoustic signals was carried out. The analysed value of TEEID (the total efficiency of recognition of the electric impact drill) was equal to 96% for the NM classifier and 88.8% for SVM. The analysed value of TEB (the total efficiency of recognition of the blender) was equal to 100% for the NM classifier and 94.11% for SVM. Full article
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
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<p>Healthy electric impact drill with smartphone.</p>
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<p>Electric impact drill with a damaged gear train (indicated by the blue box).</p>
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<p>Electric impact drill with a faulty fan (5 broken rotor blades; indicated by the blue box).</p>
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<p>Electric impact drill with a faulty fan (10 broken rotor blades; indicated by the blue box).</p>
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<p>Electric impact drill with a shifted brush (motor off; indicated by the blue box).</p>
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<p>Healthy blender.</p>
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<p>Blender with a faulty fan (2 broken rotor blades; indicated by the blue box).</p>
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<p>Blender with a faulty fan (5 broken rotor blades; indicated by the blue box).</p>
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<p>Flowchart of the proposed fault detection using smartphone and acoustic signals. NM: nearest mean; SVM: support vector machine.</p>
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<p>(<b>a</b>) Diagram of the experimental setup of the measurements using the smartphone. (<b>b</b>) Experimental setup of the blender and electric impact drill.</p>
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<p>(<b>a</b>) Diagram of the experimental setup of the measurements using the smartphone. (<b>b</b>) Experimental setup of the blender and electric impact drill.</p>
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<p>Flowchart of the proposed method of feature extraction, MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS. FFT: Fast Fourier Transform; TCF: threshold of common frequency components.</p>
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<p>Difference (|<b>hd</b> − <b>ddgt</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method. <b>hd</b> refers to the healthy electric impact drill; <b>ddgt</b> refers to the electric impact drill with damaged gear train.</p>
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<p>Difference (|<b>hd</b> − <b>dfive</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method. <b>dfive</b> refers to the electric impact drill with a faulty fan (5 broken rotor blades).</p>
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<p>Difference (<b>|hd</b> − <b>dten</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method. <b>dten</b> refers to the electric impact drill with a faulty fan (10 broken rotor blades).</p>
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<p>Difference (|<b>ddgt</b> − <b>dfive</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method.</p>
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<p>Difference (|<b>ddgt</b> − <b>dten</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method.</p>
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<p>Difference (|<b>dfive</b> − <b>dten</b>|) using the MSAF-RATIO-27-MULTIEXPANDED-4-GROUPS method.</p>
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<p>Values of features of the vector <b>hd</b> (healthy electric impact drill).</p>
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<p>Values of features of the vector <b>ddgt</b> (electric impact drill with damaged gear train).</p>
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<p>Values of features of the vector <b>dfive</b> (electric impact drill with a faulty fan with 5 broken rotor blades).</p>
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<p>Values of features of the vector <b>dten</b> (electric impact drill with a faulty fan with 10 broken rotor blades).</p>
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<p>Values of features (without amplitude normalization) of the electric impact drill with a shifted brush (motor off).</p>
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<p>Values of features of the healthy blender.</p>
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<p>Values of features of the blender with (2 broken rotor blades).</p>
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<p>Values of features of the blender with a faulty fan (5 broken rotor blades).</p>
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<p>SVM model (for the example two features of X and Y).</p>
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