Optimization of Three-Phase Hybrid Stepper Motors for Noise Reduction
<p>The practical product for the initial 3P-HSM model: (<b>a</b>) 3P-HSM with 12 slots; (<b>b</b>) rotor structure.</p> "> Figure 2
<p>The equivalent magnetic circuit of the stator part of the HSM.</p> "> Figure 3
<p>The 3D model of initial 3P-HSM: (<b>a</b>) 3D model of the 3P-HSM with 12 slots; (<b>b</b>) axial sectional view of the motor.</p> "> Figure 4
<p>The FEM mesh around the rotor teeth of the motor.</p> "> Figure 5
<p>The magnetic flux density of single-phase winding energized with direct current.</p> "> Figure 6
<p>The rectangular teeth.</p> "> Figure 7
<p>The trapezoidal teeth.</p> "> Figure 8
<p>The flowchart of the Taguchi optimization method.</p> "> Figure 9
<p>The main effect diagram of S/N for THD-min in the first stage.</p> "> Figure 10
<p>The main effect diagram of S/N for THD-min in the second stage.</p> "> Figure 11
<p>Tooth geometry after optimization: (<b>a</b>) initial 3P-HSM; (<b>b</b>) THD-min 3P-HSM.</p> "> Figure 12
<p>The FE results of 3P-HSMs.</p> "> Figure 13
<p>Test prototypes and tooth layer: (<b>a</b>) test prototype; (<b>b</b>) rectangular; (<b>c</b>) trapezoidal.</p> "> Figure 14
<p>The experimental noise system: (<b>a</b>) outside of the testing system; (<b>b</b>) inside of the acoustic chamber.</p> "> Figure 15
<p>Complete noise waterfall: (<b>a</b>) initial 3P-HSM; (<b>b</b>) THD-min 3P-HSM.</p> "> Figure 16
<p>Harmonic noise waterfall: (<b>a</b>) initial 3P-HSM; (<b>b</b>) THD-min 3P-HSM.</p> "> Figure 17
<p>SPL spectrum at 600 rpm.</p> ">
Abstract
:1. Introduction
2. Torque-Angle Characteristics
3. FEM Model of 3P-HSM
4. Optimization of 3P-HSM
4.1. Taguchi Optimization Method
4.2. The Optimization Target: THD-min
4.3. Tooth Geometry after Optimization and FE Results
5. Motor Noise Test
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | Values |
---|---|
Stator poles | 12 |
Small teeth stator pole | 4 |
Rotor layers | 4 |
Small teeth per rotor layer | 50 |
Permanent magnets | 3 |
Model | Tooth Geometry |
---|---|
Initial 3P-HSM | Rectangular |
THD-min 3P-HSM | Trapezoidal |
Optimization Parameters | Optimization Stage | |
---|---|---|
First Stage | Second Stage | |
A | rt1/rλ | rt/rλ |
B | st1/sλ | st/sλ |
C | rθ | rh/rλ |
D | sθ | sh/sλ |
No. | Factor | THD (%) | S/N | |||
---|---|---|---|---|---|---|
A | B | C | D | |||
1 | 1 | 1 | 1 | 1 | 7.36 | −17.34 |
2 | 1 | 2 | 2 | 2 | 7.10 | −17.03 |
3 | 1 | 3 | 3 | 3 | 7.50 | −17.50 |
4 | 1 | 4 | 4 | 4 | 7.91 | −17.96 |
5 | 2 | 1 | 2 | 3 | 7.20 | −17.15 |
6 | 2 | 2 | 1 | 4 | 7.30 | −17.27 |
7 | 2 | 3 | 4 | 1 | 7.68 | −17.71 |
8 | 2 | 4 | 3 | 2 | 8.10 | −18.17 |
9 | 3 | 1 | 3 | 4 | 8.60 | −18.69 |
10 | 3 | 2 | 4 | 3 | 8.51 | −18.60 |
11 | 3 | 3 | 1 | 2 | 8.80 | −18.89 |
12 | 3 | 4 | 2 | 1 | 9.81 | −19.83 |
13 | 4 | 1 | 4 | 2 | 5.96 | −15.50 |
14 | 4 | 2 | 3 | 1 | 6.80 | −16.65 |
15 | 4 | 3 | 2 | 4 | 6.19 | −15.83 |
16 | 4 | 4 | 1 | 3 | 7.00 | −16.90 |
No. | Factor | THD (%) | S/N | |||
---|---|---|---|---|---|---|
A | B | C | D | |||
1 | 1 | 1 | 1 | 1 | 6.54 | −16.31 |
2 | 1 | 2 | 2 | 2 | 6.56 | −16.34 |
3 | 1 | 3 | 3 | 3 | 6.20 | −15.85 |
4 | 1 | 4 | 4 | 4 | 6.84 | −16.70 |
5 | 2 | 1 | 2 | 3 | 6.80 | −16.65 |
6 | 2 | 2 | 1 | 4 | 6.66 | −16.47 |
7 | 2 | 3 | 4 | 1 | 6.20 | −15.85 |
8 | 2 | 4 | 3 | 2 | 7.20 | −17.15 |
9 | 3 | 1 | 3 | 4 | 7.00 | −16.90 |
10 | 3 | 2 | 4 | 3 | 6.25 | −15.92 |
11 | 3 | 3 | 1 | 2 | 7.43 | −17.42 |
12 | 3 | 4 | 2 | 1 | 6.44 | −16.18 |
13 | 4 | 1 | 4 | 2 | 6.56 | −16.34 |
14 | 4 | 2 | 3 | 1 | 7.66 | −17.68 |
15 | 4 | 3 | 2 | 4 | 6.48 | −16.23 |
16 | 4 | 4 | 1 | 3 | 7.56 | −17.57 |
Parameters | Initial 3P-HSM | THD-min 3P-HSM |
---|---|---|
rt1 | 0 | 0.35 |
st1 | 0 | 0.4 |
rθ | 0 | 25 |
sθ | 0 | 35 |
rt | 0.45 | 0.5 |
st | 0.5 | 0.5 |
rh | 0.5 | 0.4 |
sh | 0.5 | 0.5 |
THD (%) | 7.55 | 5.96 |
Test Equipment | Company | Type |
---|---|---|
Controller | TI | DSPF28335 |
Sound card | iCON | MicU(Live) |
Microphone | Behringer | ECM8000 |
Decibel meter | Aihua | AWA5661 |
Tooth Geometry | SPL Spectrum(dB) | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
Rectangular | 30.75 | 21.18 | 12.81 | 19.73 | 41.92 | 33.69 | 29.25 |
Trapezoidal | 29.1 | 10.12 | 7.443 | 12.95 | 36.72 | 30.33 | 17.48 |
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Peng, Z.; Bi, C.; Fang, L.; Xiao, L. Optimization of Three-Phase Hybrid Stepper Motors for Noise Reduction. Sensors 2022, 22, 356. https://doi.org/10.3390/s22010356
Peng Z, Bi C, Fang L, Xiao L. Optimization of Three-Phase Hybrid Stepper Motors for Noise Reduction. Sensors. 2022; 22(1):356. https://doi.org/10.3390/s22010356
Chicago/Turabian StylePeng, Zhen, Chao Bi, Lingli Fang, and Longfei Xiao. 2022. "Optimization of Three-Phase Hybrid Stepper Motors for Noise Reduction" Sensors 22, no. 1: 356. https://doi.org/10.3390/s22010356