Research on Time Delay Estimation Method of Partial Discharges Signal with Improved Weighted Function
Abstract
:1. Introduction
2. Theories and Methods
2.1. Generalized Cross-Correlation Time Delay Estimation for Joint Weighted Function
2.1.1. Generalized Cross-Correlation Time Delay Estimation
2.1.2. Generalized Weighted Cross-Correlation Algorithm
2.1.3. Principle Analysis of Improved Weighted Function
2.1.4. Algorithm Flow Analysis
3. Simulation Analysis
3.1. Partial Discharge Signal Simulation
3.2. Effect of External Noise on Time Delay Estimation
4. Experimental Verification
5. Conclusions
- Simulation and analysis of partial discharge signals with the addition of Gaussian white noise. The PHAT–SCOT–GCC algorithm has significant cross-correlation peaks without the interference of spurious peaks, so the delay results can be obtained accurately. Through 1000 experiments at a lower SNR (SNR = −10 dB), the PHAT–SCOT–GCC algorithm is 76% correct. The RMSEs of PHAT–SCOT–GCC are all less than 0.15 μs when the SNR is below 0 dB, and the stability is higher than that of the PHAT–GCC and SCOT–GCC algorithms. Thus, the superior noise immunity of PHAT–SCOT–GCC is verified.
- To deeply investigate the noise immunity performance of PHAT–SCOT–GCC, the cross-correlation peaks remain obvious when mixed noise interference is introduced. At low SNR (SNR = −10 dB), the PHAT–SCOT–GCC algorithm’s correctness is improved by at least 50 percentage points. The RMSE of PHAT–SCOT–GCC is less than 0.3 μs when the SNR is less than 0 dB, which further validates the noise immunity performance of PHAT–SCOT–GCC.
- Compare the mean and RMSE of the algorithms at different SNRs in time delay estimation experiments for partial discharge signal detection in real scenarios. The algorithm proposed in this paper has an error of less than 1 ns, and the RMSE is lower than the traditional algorithm, which is more stable and effective. The PHAT–SCOT–GCC can better meet the accuracy requirements of practical engineering in complex electromagnetic environments.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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S1 (t) | S2 (t) | S3 (t) | |
---|---|---|---|
Amplitude A/v | 3 | 0.6 | 0.1 |
Delay Points | 0 | 100 | 200 |
SNR/dB | PHAT–GCC/μs | SCOT–GCC/μs | PHAT–SCOT–GCC/μs |
---|---|---|---|
0 | 93% | 87% | 100% |
−5 | 71% | 65% | 100% |
−10 | 15% | 17% | 76% |
i = 1 | i = 2 | i = 3 | |
---|---|---|---|
Signal amplitude Ai/v | 1 | 1.5 | |
Signal frequency fi/MHz | 3 | 2.5 | 1.5 |
SNR/dB | PHAT–GCC/μs | SCOT–GCC/μs | PHAT–SCOT–GCC/μs |
---|---|---|---|
0 | 93% | 92% | 100% |
−5 | 25% | 30% | 97% |
−10 | 15% | 10% | 66% |
Spacing | PHAT–GCC/ns | SCOT–GCC/ns | PHAT–SCOT–GCC/ns |
---|---|---|---|
1 m | 10.8 | 10.8 | 9.6 |
5 m | 6.9 | 6.7 | 10.7 |
10 m | 4.8 | 5.4 | 10.9 |
Spacing | PHAT–GCC/ns | SCOT–GCC/ns | PHAT–SCOT–GCC/ns |
---|---|---|---|
1 m | 0.93 | 0.93 | 0.24 |
5 m | 8.9 | 9.5 | 0.7 |
10 m | 11.4 | 12.3 | 1.14 |
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Liu, W.; Li, M.; Wang, T.; Jin, M.; Fang, Q. Research on Time Delay Estimation Method of Partial Discharges Signal with Improved Weighted Function. Electronics 2023, 12, 4196. https://doi.org/10.3390/electronics12204196
Liu W, Li M, Wang T, Jin M, Fang Q. Research on Time Delay Estimation Method of Partial Discharges Signal with Improved Weighted Function. Electronics. 2023; 12(20):4196. https://doi.org/10.3390/electronics12204196
Chicago/Turabian StyleLiu, Weidong, Mingjie Li, Tong Wang, Mengzhe Jin, and Qingyuan Fang. 2023. "Research on Time Delay Estimation Method of Partial Discharges Signal with Improved Weighted Function" Electronics 12, no. 20: 4196. https://doi.org/10.3390/electronics12204196
APA StyleLiu, W., Li, M., Wang, T., Jin, M., & Fang, Q. (2023). Research on Time Delay Estimation Method of Partial Discharges Signal with Improved Weighted Function. Electronics, 12(20), 4196. https://doi.org/10.3390/electronics12204196