Novel Low-Speed Measuring Method Based on Sine and Square Wave Signals
Abstract
:1. Introduction
2. Low-Speed Measuring Method
2.1. Measuring Principle
2.2. Square Wave Periode Measurement (SWPM) Method
2.3. Frequency and Speed Measurement Based on Phase Difference Measurement
2.4. Discrete Fourier Series (DFS) Algorithm
2.5. Recursive Self-Correction Algorithm
3. Verification of the New Method Based on Simulation in MATLAB
4. Practical Results of the New Method
4.1. Measuring Result Based on Signal Generator
4.2. Measuring Result Based on Hall Effect Gear Tooth Sensor Speed Measurement System
4.3. Measuring Results on Motor Variable Speed Motion
5. Potential Application Examples
5.1. Direct-Drive Offshore Wind Turbine
5.2. Precision Low-Speed Motor Controller
6. Conclusions and Suggested Future Work
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Feature | Encoder | LDV | Gear Tooth Speed Sensor (SWFM/SWPM) | Novel Measuring Method |
---|---|---|---|---|
Principle | Optical/magnetic | Laser Doppler effect | Optical/magnetic | Optical/magnetic |
Structure | Complex | Complex | Simple | Simple |
Accuracy | Very good | Very good | Good | Good |
Robustness | good | Very good | Good | Good |
Resolution | High | High | Low | High |
Algorithm | SWPM/SWFM | FFT, etc. | SWPM/SWFM | RSC-DFS + SWPM |
Cost | High | High | Low | Low |
SNR (dB) | 1 | RMSE 2 of Dev without RSC (%) | RMSE 3 of Dev after 1 RSC (%) | RMSE 4 of Dev after 2 RSCs (%) |
---|---|---|---|---|
20 | −0.1278 | 2.166 | 2.138 | 2.138 |
30 | 0.1821 | 0.7635 | 0.7263 | 0.7262 |
40 | 0.3080 | 0.2620 | 0.2062 | 0.2062 |
50 | 0.7895 | 0.2146 | 6.675 × 10−2 | 6.671 × 10−2 |
60 | 0.8844 | 0.2099 | 2.239 × 10−2 | 2.245 × 10−2 |
70 | 0.9062 | 0.2121 | 6.829 × 10−3 | 6.798 × 10−3 |
80 | 0.9115 | 0.2105 | 2.206 × 10−3 | 2.180 × 10−3 |
90 | 0.9117 | 0.2105 | 9.262 × 10−4 | 6.288 × 10−4 |
100 | 0.9119 | 0.2105 | 6.835 × 10−4 | 2.230 × 10−4 |
110 | 0.9120 | 0.2104 | 6.506 × 10−4 | 7.260 × 10−5 |
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Song, Q.; Liu, J.; Liu, Y. Novel Low-Speed Measuring Method Based on Sine and Square Wave Signals. Metrology 2023, 3, 82-98. https://doi.org/10.3390/metrology3010005
Song Q, Liu J, Liu Y. Novel Low-Speed Measuring Method Based on Sine and Square Wave Signals. Metrology. 2023; 3(1):82-98. https://doi.org/10.3390/metrology3010005
Chicago/Turabian StyleSong, Qiankun, Jigou Liu, and Yang Liu. 2023. "Novel Low-Speed Measuring Method Based on Sine and Square Wave Signals" Metrology 3, no. 1: 82-98. https://doi.org/10.3390/metrology3010005
APA StyleSong, Q., Liu, J., & Liu, Y. (2023). Novel Low-Speed Measuring Method Based on Sine and Square Wave Signals. Metrology, 3(1), 82-98. https://doi.org/10.3390/metrology3010005