Research Article
Sensorless Load Torque Estimation and Passivity Based Control of Buck Converter Fed DC Motor
Table 2
(a) Comparison between SAA and SROO: simulation study. (b) Comparison between SAA and SROO: hardware implementation.
(a) |
| S. number | Time (seconds) | (p. u.) | (p. u.) | Speed settling time (seconds) | SROO1 | SROO2 | SAA |
| | (a) Constant load torque | 1 | 3 | 0.500 | 0.25 | 0.90 | 0.50 | 0.20 | 2 | 7 | 1.000 | 1.00 | 1.20 | 0.60 | 0.20 | 3 | 11 | 0.675 | 0.75 | 1.10 | 0.50 | 0.20 | | | | | Load torque estimation time (seconds) | 4 | 3 | 0.500 | 0.25 | 1.00 | 0.50 | 0.20 | 5 | 7 | 1.000 | 1.00 | 1.20 | 0.70 | 0.20 | 6 | 11 | 0.675 | 0.75 | 1.20 | 0.60 | 0.20 |
| | (b) Frictional load torque | | | | | Speed settling time (seconds) | 7 | 0.0–2.5 | 0.500 | 0.50 | 1.4 | 0.78 | 0.38 | 8 | 2.5–5.0 | 1.000 | 1.00 | 1.4 | 0.78 | 0.38 | 9 | 5.0–8.0 | 0.682 | 0.682 | 1.4 | 0.78 | 0.38 | | | | | Load torque estimation time (seconds) | 10 | 0.0–2.5 | 0.500 | 0.50 | 1.4 | 0.7 | 0.01 | 11 | 2.5–5.0 | 1.000 | 1.00 | 1.4 | 0.7 | 0.01 | 12 | 5.0–8.0 | 0.682 | 0.682 | 1.4 | 0.7 | 0.01 |
| | (c) Fan type load torque | | | | | Speed settling time (seconds) | 13 | 1.0–2.0 | Linear variation |
Squared of speed | 0.8 | 0.4 | 0.20 | 14 | 3.0–6.0 | 1.5 | 0.8 | 0.25 | 15 | 6.0–9.0 | 1.2 | 0.4 | 0.20 | | | | | Load torque estimation time (seconds) | 16 | 1.0–2.0 | Linear variation | Squared of speed | 1.0 | 0.2 | 0.01 | 17 | 3.0–6.0 | 2.0 | 0.4 | 0.01 | 18 | 6.0–9.0 | 2.0 | 0.4 | 0.01 |
| | (d) Propeller type load torque | | | | | Speed settling time (seconds) | 19 | 1.0–3.0 | Linear variation | Cube of speed | 0.7 | 0.325 | 0.15 | 20 | 3.0–6.0 | 1.8 | 1.000 | 0.30 | 21 | 6.0–9.0 | 1.5 | 0.600 | 0.25 | | | | | Load torque estimation time (seconds) | 22 | 1.0–3.0 | Linear variation | Cube of speed | 1.0 | 0.5 | 0.2 | 23 | 3.0–6.0 | 2.2 | 1.5 | 0.5 | 24 | 6.0–9.0 | 2.0 | 1.0 | 0.5 |
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(b) |
| S. number | Time (seconds) | (p. u.) | (p. u.) | Speed settling time (seconds) | SROO1 | SROO2 | SAA |
| | Constant load torque | 1 | 3 | 0.500 | 0.25 | 1.00 | 0.60 | 0.25 | 2 | 7 | 1.000 | 1.00 | 1.40 | 0.80 | 0.30 | 3 | 11 | 0.675 | 0.75 | 1.20 | 0.60 | 0.30 | | | | | Load torque estimation time (seconds) | 4 | 3 | 0.500 | 0.25 | 1.20 | 0.60 | 0.30 | 5 | 7 | 1.000 | 1.00 | 1.40 | 0.80 | 0.30 | 6 | 11 | 0.675 | 0.75 | 1.40 | 0.70 | 0.30 |
| | Frictional load torque | | | | | Speed settling time (seconds) | 7 | 0.0–2.5 | 0.500 | 0.50 | 1.6 | 0.85 | 0.44 | 8 | 2.5–5.0 | 1.000 | 1.00 | 1.6 | 0.85 | 0.44 | 9 | 5.0–8.0 | 0.682 | 0.682 | 1.6 | 0.85 | 0.44 | | | | | Load torque estimation time (seconds) | 10 | 0.0–2.5 | 0.500 | 0.50 | 1.5 | 0.8 | 0.02 | 11 | 2.5–5.0 | 1.000 | 1.00 | 1.5 | 0.8 | 0.02 | 12 | 5.0–8.0 | 0.682 | 0.682 | 1.5 | 0.8 | 0.02 |
| | Fan type load torque | | | | | Speed settling time (seconds) | 13 | 1.0–2.0 | Linear variation | Squared of speed | 1.0 | 0.6 | 0.24 | 14 | 3.0–6.0 | 2.0 | 1.0 | 0.40 | 15 | 6.0–9.0 | 1.4 | 0.6 | 0.24 | | | | | Load torque estimation time (seconds) | 16 | 1.0–2.0 | Linear variation | Squared of speed | 1.1 | 0.3 | 0.02 | 17 | 3.0–6.0 | 2.2 | 0.6 | 0.02 | 18 | 6.0–9.0 | 2.2 | 0.6 | 0.02 |
| | Propeller type load torque | | | | | Speed settling time (seconds) | 19 | 1.0–3.0 | Linear variation | Cube of speed | 0.8 | 0.375 | 0.20 | 20 | 3.0–6.0 | 2.0 | 1.250 | 0.40 | 21 | 6.0–9.0 | 1.8 | 0.700 | 0.3 | | | | | Load torque estimation time (seconds) | 22 | 1.0–3.0 | Linear variation | Cube of speed | 1.2 | 0.6 | 0.3 | 23 | 3.0–6.0 | 2.4 | 1.6 | 0.6 | 24 | 6.0–9.0 | 2.2 | 1.2 | 0.6 |
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