A Three-Phase Current Tacholess Envelope Order Analysis Method for Feature Extraction of Planetary Gearbox under Variable Speed Conditions
<p>The procedure of tacholess current signal analysis of variable-speed planetary gearbox.</p> "> Figure 2
<p>The relationship between instantaneous rotation frequency and synchronous rotation frequency.</p> "> Figure 3
<p>Three-phase current instantaneous rotation speed estimation algorithm.</p> "> Figure 4
<p>The flow of envelope order algorithm.</p> "> Figure 5
<p>LDA algorithm flow.</p> "> Figure 6
<p>Model training for comprehensive index extraction.</p> "> Figure 7
<p>Spectrum and time–frequency diagram of the simulated signal under variable speed conditions: (<b>a</b>) spectrum of normal gearbox; (<b>b</b>) spectrum of abnormal gearbox; (<b>c</b>) time–frequency spectrum of normal gearbox; (<b>d</b>) time–frequency spectrum of abnormal gearbox.</p> "> Figure 8
<p>Results of order analysis via Park vector demodulation method for the simulated signal: (<b>a</b>) instantaneous phase; (<b>b</b>) instantaneous frequency; (<b>c</b>) angle waveform; (<b>d</b>) order spectrum.</p> "> Figure 9
<p>The experimental setup.</p> "> Figure 10
<p>The frequency spectrum of the single-phase current signal of the variable-speed planetary gearbox.</p> "> Figure 11
<p>Time–frequency diagram of the current signal of a variable-speed planetary gearbox.</p> "> Figure 12
<p>The instantaneous rotation frequency conversion is extracted by the method proposed in this manuscript.</p> "> Figure 13
<p>The experimental setup: (<b>a</b>) the planetary gear test bench; (<b>b</b>) gear ring with root crack fault; (<b>c</b>) enhanced image of (<b>b</b>).</p> "> Figure 14
<p>Original current signals collected from the planetary gearbox: (<b>a</b>) U phase, V phase, and W phase current of the normal gearbox; (<b>b</b>) U phase, V phase, and W phase current of the faulty gearbox.</p> "> Figure 15
<p>Instantaneous rotation frequency of the experimental gearbox: (<b>a</b>) instantaneous phase; (<b>b</b>) instantaneous rotation frequency.</p> "> Figure 16
<p>Envelope order spectrum of normal and faulty gearboxes: (<b>a</b>) envelope order amplitude of normal gearbox; (<b>b</b>) envelope order frequency of normal gearbox; (<b>c</b>) envelope order amplitude of faulty gearbox; (<b>d</b>) envelope order frequency of faulty gearbox.</p> "> Figure 17
<p>The envelope order index of the experimental gearbox: (<b>a</b>) time domain entropy; (<b>b</b>) time domain kurtosis coefficient; (<b>c</b>) spectral entropy; (<b>d</b>) spectral kurtosis coefficient.</p> "> Figure 18
<p>The result of dimensionality reduction for the training set: (<b>a</b>) comprehensive index; (<b>b</b>) probability density of comprehensive index.</p> "> Figure 19
<p>The result of dimensionality reduction for the test set: (<b>a</b>) comprehensive index; (<b>b</b>) probability density of comprehensive index.</p> ">
Abstract
:1. Introduction
2. Proposed Method
2.1. Framework
2.2. Three-Phase Current Instantaneous Speed Estimation
2.3. Envelope Order Analysis
2.4. Envelope Order Comprehensive Index Extraction Algorithm
3. Simulation Signal Analysis and Experiment Verification
3.1. Simulation Signal Analysis
3.2. Experimental Verification of Three-Phase Current Instantaneous Speed Estimation Slgorithm
3.2.1. Experimental Setup
3.2.2. Experimental Results and Analysis
3.3. Experimental Verification of Tacholess Envelope Order Analysis
3.3.1. Experimental Setup
3.3.2. Experimental Results and Analysis
3.4. Validation of the Extraction Algorithm for the Comprehensive Index of the Envelope Order
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Characteristic Frequency | Meshing Frequency | Sun Gear | Planetary Gear | Ring Gear |
---|---|---|---|---|
Distributed Fault | 24 | 0.67 | 1.34 | 0.34 |
Centralized Fault | 2.04 | 2.68 | 1.02 |
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Zhang, X.; Xu, G.; Kuang, J.; Suo, L.; Zhang, S.; Khalique, U. A Three-Phase Current Tacholess Envelope Order Analysis Method for Feature Extraction of Planetary Gearbox under Variable Speed Conditions. Sensors 2021, 21, 5714. https://doi.org/10.3390/s21175714
Zhang X, Xu G, Kuang J, Suo L, Zhang S, Khalique U. A Three-Phase Current Tacholess Envelope Order Analysis Method for Feature Extraction of Planetary Gearbox under Variable Speed Conditions. Sensors. 2021; 21(17):5714. https://doi.org/10.3390/s21175714
Chicago/Turabian StyleZhang, Xun, Guanghua Xu, Jiachen Kuang, Lin Suo, Sicong Zhang, and Umair Khalique. 2021. "A Three-Phase Current Tacholess Envelope Order Analysis Method for Feature Extraction of Planetary Gearbox under Variable Speed Conditions" Sensors 21, no. 17: 5714. https://doi.org/10.3390/s21175714
APA StyleZhang, X., Xu, G., Kuang, J., Suo, L., Zhang, S., & Khalique, U. (2021). A Three-Phase Current Tacholess Envelope Order Analysis Method for Feature Extraction of Planetary Gearbox under Variable Speed Conditions. Sensors, 21(17), 5714. https://doi.org/10.3390/s21175714