Arc Fault Detection Algorithm Based on Variational Mode Decomposition and Improved Multi-Scale Fuzzy Entropy
Abstract
:1. Introduction
- VMD avoids mode mixing, which makes sure that decomposition is meaningful;
- IMFE is stable and can be used to describe signals from the multi-scale;
- SVM has great classification effects on nonlinear problems.
2. Arc Fault Diagnosis Algorithm
2.1. Arc Fault Data Feature Analysis
2.2. Variational Model Decomposition
2.3. Multi-Scale Fuzzy Entropy
2.4. The Steps of Arc Fault Diagnosis Algorithm
3. The Validation of the Arc Fault Diagnosis Algorithm
3.1. VMD Parameter Selection
3.2. Selection of IMF and Calculation of IMFE
3.3. Fault Diagnosis and Validation
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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K Value | IMF1 | IMF2 | IMF3 | IMF4 | IMF5 |
---|---|---|---|---|---|
K = 1 | 40.7 kHz | N/A | N/A | N/A | N/A |
K = 2 | 39.3 kHz | 64.1 kHz | N/A | N/A | N/A |
K = 3 | 39.3 kHz | 64.1 kHz | 122.4 kHz | N/A | N/A |
K = 4 | 39.3 kHz | 64.1 kHz | 121.9 kHz | 179.3 kHz | N/A |
K = 5 | 37.9 kHz | 48.8 kHz | 65.8 kHz | 123.3 kHz | 193.9 kHz |
Type | Label | IMF1 | IMF2 | IMF3 | IMF4 |
---|---|---|---|---|---|
normal | 1 | 42.2 kHz | 64.5 kHz | 125.6 kHz | 187.1 kHz |
normal | 2 | 41.7 kHz | 65.0 kHz | 124.3 kHz | 190.4 kHz |
normal | 3 | 42.8 kHz | 64.1 kHz | 125.2 kHz | 179.5 kHz |
fault | 1 | 42.2 kHz | 64.7 kHz | 126.7 kHz | 188.1 kHz |
fault | 2 | 42.1 kHz | 66.8 kHz | 124.1 kHz | 186.6 kHz |
fault | 3 | 42.6 kHz | 64.3 kHz | 123.8 kHz | 183.9 kHz |
Type | Label | IMF1 | IMF2 | IMF3 | IMF4 | IMF5 |
---|---|---|---|---|---|---|
normal | 1 | 42.2 kHz | 64.1 kHz | 95.7 kHz | 127.5 kHz | 187.4 kHz |
normal | 2 | 41.7 kHz | 64.8 kHz | 105.2 kHz | 156.1 kHz | 203.0 kHz |
normal | 3 | 42.9 kHz | 63.9 kHz | 110.9 kHz | 160.7 kHz | 210.0 kHz |
fault | 1 | 40.6 kHz | 55.4 kHz | 66.9 kHz | 128.9 kHz | 188.2 kHz |
fault | 2 | 40.9 kHz | 57.6 kHz | 68.1 kHz | 124.5 kHz | 186.7 kHz |
fault | 3 | 41.8 kHz | 60.7 kHz | 69.1 kHz | 123.8 kHz | 163.8 kHz |
Result Type | TP | FP | TN | FN | Total |
---|---|---|---|---|---|
Number | 985 | 11 | 529 | 5 | 1530 |
Percentage | 64.4% | 0.7% | 34.6% | 0.3% | 100% |
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Wang, L.; Qiu, H.; Yang, P.; Mu, L. Arc Fault Detection Algorithm Based on Variational Mode Decomposition and Improved Multi-Scale Fuzzy Entropy. Energies 2021, 14, 4137. https://doi.org/10.3390/en14144137
Wang L, Qiu H, Yang P, Mu L. Arc Fault Detection Algorithm Based on Variational Mode Decomposition and Improved Multi-Scale Fuzzy Entropy. Energies. 2021; 14(14):4137. https://doi.org/10.3390/en14144137
Chicago/Turabian StyleWang, Lina, Hongcheng Qiu, Pu Yang, and Longhua Mu. 2021. "Arc Fault Detection Algorithm Based on Variational Mode Decomposition and Improved Multi-Scale Fuzzy Entropy" Energies 14, no. 14: 4137. https://doi.org/10.3390/en14144137