Thermographic Fault Diagnosis of Ventilation in BLDC Motors
Abstract
:1. Introduction
Related Work
2. Analyzed States of BLDC Motors
3. Thermographic Measurements for the BLDC
4. The Developed Thermal Fault Diagnosis Method
4.1. Common Part of Arithmetic Mean of Thermographic Images (CPoAMoTI)
- Gray-scale thermal images (256 colors, matrices 320 × 240) are grouped as training and test sets.
- Compute image of the arithmetic mean using thermal images of training set:where Xn is the matrix of training thermal image, n is the number of training thermal images (n = 11), classk is the arithmetic means of class with k index (matrix 320 × 240), class1 is the image of the arithmetic mean of training thermal images of the healthy BLDC motor at 1450 rpm, class2 is the image of the arithmetic mean of training thermal images of the healthy BLDC motor at 2100 rpm, class3 is the image of the arithmetic mean of the training thermal images of blocked ventilation of the BLDC motor at 1450 rpm, class4 is the image of the arithmetic mean of the training thermal images of blocked ventilation of the BLDC motor at 2100 rpm (4 classes for the analyzed fan).
- Compute differences:where, diffj is the difference of two matrices; j is the number of computed differences for 4 classes j = 6, diff1 = |class1 − class2|,…, diff6 = |class3 − class4|; k, g is the number of classes, for 4 classes: 1, 2, 3, 4.diffj = |classk − classg|,
- Compute the following sum:
- Compute the value of M:where M is the maximum value of matrix sum_avg.M = max(sum_avg),
- Compute the value of m:where m is the percentage of maximum value M, p is in the range of [0, 1]. The analysis is carried out for different parameters of p.m = p × M,
- For each training and test thermal image, computewhere C is the computed image; G is the matrix of 320 × 240, each element of matrix G has a value equal to m; TI is the training or test thermal image (matrix of 320 × 240).C = TI + sum_avg − G,
- In matrix C, set 0 for values less than zero. The computed images are as follows: images C1, C2, …, C44 for the training set and C51, …, C290 for the test set (only for analyzed fan).
- Compute image subtraction:where, di is the matrix of differences between test and training thermal images (for one test image and 44 training images, d1, d2, …, d44 are computed), Ca is the test thermal image (C51, …, C290), Cb is the training thermal image (C1, C2, …, C44).di = |Ca − Cb|,
- Compute sums of pixel values si for each computed matrix di,where si is the sum of pixel values for di; i is the integer from 1 to 44; pvz is the pixel value, z is the integer from 1 to 76,800 (320 × 240 = 76,800).
- Find the lowest value of the computed sums.
- Detect the proper class of the BLDC motor.
5. Results of the Analysis
6. Discussion
7. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| State of the BLDC (Fan) | Sum of Pixel Values |
|---|---|
| healthy BLDC motor at 1450 rpm | 1575.6 |
| healthy BLDC motor at 2100 rpm | 975.5 |
| blocked ventilation of the BLDC motor at 1450 rpm | 1910.9 |
| blocked ventilation of the BLDC motor at 2100 rpm | 1428.3 |
| State of the BLDC | EBLDC [%] |
|---|---|
| EBLDC1, healthy BLDC motor at 1450 rpm | 100 |
| EBLDC2, healthy BLDC motor at 2100 rpm | 98.33 |
| EBLDC3, blocked ventilation of the BLDC motor at 1450 rpm | 100 |
| EBLDC4, blocked ventilation of the BLDC motor at 2100 rpm | 100 |
| AMEBLDC [%] | |
| AMEBLDC | 99.58 |
| State of the BLDC | EBLDC [%] |
|---|---|
| EBLDC1, healthy BLDC motor at 1450 rpm | 100 |
| EBLDC2, healthy BLDC motor at 2100 rpm | 100 |
| EBLDC3, blocked ventilation of the BLDC motor at 1450 rpm | 100 |
| EBLDC4, blocked ventilation of the BLDC motor at 2100 rpm | 100 |
| AMEBLDC [%] | |
| AMEBLDC | 100 |
| State of the BLDC | EBLDC [%] |
|---|---|
| EBLDC5, healthy clipper | 100 |
| EBLDC6, blocked ventilation of the clipper | 100 |
| AMEBLDC [%] | |
| AMEBLDC | 100 |
| Analyzed Method | MoASoID | BCAoID | CPoAMoTI |
|---|---|---|---|
| Type of motor | Three-phase induction motor | Commutator motor | BLDC motor |
| Power of the analyzed motor | 550 W | 500 W | 25 W, 5.4 W |
| Analyzed faults of the motor | electrical | mechanical | mechanical |
| Temperature range of analyzed thermal images | 21–38.7 °C | 27.6–39 °C | 34.1–43.1 °C 28.7–41.9 °C |
| Measurement with Vibrations | No | 0.05 m offset | Vibration 0–0.5 m/s2 |
| Thresholding | Binarization, 1 time | Binarization, 2 times | C = TI + sum_avg − G, negative values to 0 |
| Problems with unnecessary elements in the image (label, temperature, scale bar) | Yes | No | No |
| Differences | Between images of training and test sets | Between images of training and test sets | Between arithmetic means of training classes |
| Number of analyzed features | 1 feature— Sum of pixels | 1 feature— Sum of pixels | Matrix 320 × 240 |
| Number of analyzed classes | 3 | 3 | 4 + 2 |
| Recognition | Nearest Neighbor classifier, K-means, backpropagation neural network) | Nearest Neighbor classifier and the backpropagation neural network | Difference between features (matrices C) |
| Scale | Rainbow | Gray-scale | Gray-scale |
| Recognition Rate (%) | 100 | 97.91–100 | 100 |
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Glowacz, A. Thermographic Fault Diagnosis of Ventilation in BLDC Motors. Sensors 2021, 21, 7245. https://doi.org/10.3390/s21217245
Glowacz A. Thermographic Fault Diagnosis of Ventilation in BLDC Motors. Sensors. 2021; 21(21):7245. https://doi.org/10.3390/s21217245
Chicago/Turabian StyleGlowacz, Adam. 2021. "Thermographic Fault Diagnosis of Ventilation in BLDC Motors" Sensors 21, no. 21: 7245. https://doi.org/10.3390/s21217245
APA StyleGlowacz, A. (2021). Thermographic Fault Diagnosis of Ventilation in BLDC Motors. Sensors, 21(21), 7245. https://doi.org/10.3390/s21217245

