Author Contributions
Conceptualization, P.B. and J.P.; methodology, P.B.; software, P.B. and M.K.; validation, P.B., M.K., J.P. and M.D.; investigation, P.B.; writing—original draft preparation, P.B., M.K., J.P., M.D.; writing—review and editing, P.B., M.K., J.P., M.D. All authors have read and agreed to the published version of the manuscript.
Figure 1.
Schematic diagram of an SRM power supply.
Figure 1.
Schematic diagram of an SRM power supply.
Figure 2.
(a) Phase currents, (b) phase torques (set), and (c) derivatives of phase torques.
Figure 2.
(a) Phase currents, (b) phase torques (set), and (c) derivatives of phase torques.
Figure 3.
A block diagram of the torque control system.
Figure 3.
A block diagram of the torque control system.
Figure 4.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the CTMC method.
Figure 4.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the CTMC method.
Figure 5.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the DTMC(RC) method.
Figure 5.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the DTMC(RC) method.
Figure 6.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the DTMC(FC) method.
Figure 6.
Waveforms of (a) phase currents, (b) phase torques, (c) main torque, and (d) source current for the DTMC(FC) method.
Figure 7.
Stator deformation image at resonant frequencies of (a) 1265 Hz and (b) 3361 Hz.
Figure 7.
Stator deformation image at resonant frequencies of (a) 1265 Hz and (b) 3361 Hz.
Figure 8.
The block diagram of the laboratory test stand.
Figure 8.
The block diagram of the laboratory test stand.
Figure 9.
View of the laboratory test stand.
Figure 9.
View of the laboratory test stand.
Figure 10.
The block diagram of the speed control SRM drive.
Figure 10.
The block diagram of the speed control SRM drive.
Figure 11.
Oscillograms of phase (upper) and source (lower) currents: (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC).
Figure 11.
Oscillograms of phase (upper) and source (lower) currents: (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC).
Figure 12.
(a) RMS of source current and (b) total efficiency drive for CTMC, DTMC(RC), and DTMC(FC).
Figure 12.
(a) RMS of source current and (b) total efficiency drive for CTMC, DTMC(RC), and DTMC(FC).
Figure 13.
Oscillograms of phase currents for the control methods (a) CTMC, (b) DTMC(FC), and (c) DTMC(RC) determined at n = 1200 rpm and TL = 7.5 Nm.
Figure 13.
Oscillograms of phase currents for the control methods (a) CTMC, (b) DTMC(FC), and (c) DTMC(RC) determined at n = 1200 rpm and TL = 7.5 Nm.
Figure 14.
Oscillogram of test current (lower) and vibration acceleration (upper) recorded at (a) 1191.8 Hz and (b) 1302.9 Hz.
Figure 14.
Oscillogram of test current (lower) and vibration acceleration (upper) recorded at (a) 1191.8 Hz and (b) 1302.9 Hz.
Figure 15.
Dependence of the RMS value of acceleration aRMS on the frequency of current in the windings fi.
Figure 15.
Dependence of the RMS value of acceleration aRMS on the frequency of current in the windings fi.
Figure 16.
Vibration acceleration as a function of rotor speed under the torque load TL = 7.5 Nm.
Figure 16.
Vibration acceleration as a function of rotor speed under the torque load TL = 7.5 Nm.
Figure 17.
Distribution of the vibration acceleration harmonics (a) and phase currents (Iph1, Iph2, Iph3, Iph4) recorded for control methods (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC) at 170 rpm with a load torque of 7.5 Nm.
Figure 17.
Distribution of the vibration acceleration harmonics (a) and phase currents (Iph1, Iph2, Iph3, Iph4) recorded for control methods (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC) at 170 rpm with a load torque of 7.5 Nm.
Figure 18.
Distribution of the vibration acceleration harmonics (a) and phase currents (Iph1, Iph2, Iph3, Iph4) recorded for control methods (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC) at 1150 rpm with a load torque of 7.5 Nm.
Figure 18.
Distribution of the vibration acceleration harmonics (a) and phase currents (Iph1, Iph2, Iph3, Iph4) recorded for control methods (a) CTMC, (b) DTMC(RC), and (c) DTMC(FC) at 1150 rpm with a load torque of 7.5 Nm.
Table 1.
Basic parameters of SRM.
Table 1.
Basic parameters of SRM.
Switched Reluctance Motor |
---|
Phase number | 4 |
Poles stator/rotor number | 8/6 |
Rated voltage | 48 V |
Max. mechanical power | 3.3 kW |
Rated speed | 4500 rpm |
Stator pole width | 20° |
Rotor pole width | 20.5° |
Phase winding resistance | 14 mΩ |
Table 2.
Resonant frequencies of the SRM stator.
Table 2.
Resonant frequencies of the SRM stator.
Mod Number | Frequency (Hz)—Numerical |
---|
1 | 1265 |
2 | 3361 |
3 | 5503 |
4 | 6650 |
5 | 8293 |
6 | 8964 |
Table 3.
Harmonics of the vibration acceleration and phase currents for n = 170 rpm.
Table 3.
Harmonics of the vibration acceleration and phase currents for n = 170 rpm.
n = 170 rpm | CTMC | DTMC(RC) | DTMC(FC) |
---|
Parameter/f | 20 Hz/3.41 kHz | 20 Hz/3.41 kHz | 20 Hz/3.43 kHz |
---|
a (m/s2) | 0.046/24.44 | 0.057/22.2 | 0.052/37.4 |
Iph1 (A) | 32.7/0.071 | 36.4/0.055 | 31.4/0.116 |
Iph2 (A) | 36.3/0.227 | 36.7/0.221 | 35.9/0.235 |
Iph3 (A) | 36.3/0.053 | 36.2/0.083 | 36.1/0.081 |
Iph4 (A) | 27.4/0.243 | 22.6/0.136 | 29.0/0.289 |
Table 4.
Harmonics of the vibration acceleration and phase currents for n = 1150 rpm.
Table 4.
Harmonics of the vibration acceleration and phase currents for n = 1150 rpm.
n = 1150 rpm | CTMC | DTMC(RC) | DTMC(FC) |
---|
Parameter/f | 20 Hz/1.26 kHz | 20 Hz/1.26 kHz | 20 Hz/1.26 kHz |
---|
a (m/s2) | 1.88/56.9 | 2.18/47.4 | 1.88/54.8 |
Iph1 (A) | 37.4/0.032 | 38.0/0.475 | 37.0/0.664 |
Iph2 (A) | 37.3/0.051 | 37.9/1.03 | 37.1/0.922 |
Iph3 (A) | 39.0/0.033 | 39.2/0.512 | 38.4/0.307 |
Iph4 (A) | 39.5/0.058 | 40.3/0.548 | 39.3/0.366 |
Table 5.
Assignment of the control methods to speed ranges to achieve minimum losses in the power source.
Table 5.
Assignment of the control methods to speed ranges to achieve minimum losses in the power source.
IsourceRMS Is Minimum |
---|
Speed Range | Control Method |
---|
n < 300 rpm | DTMC(RC) |
300 ≤ n < 700 rpm | DTMC(RC) |
700 ≤ n < 950 rpm | DTMC(FC) |
n ≤ 950 rpm | CTMC |
Table 6.
Assignment of the control methods to speed ranges to achieve maximum drive efficiency.
Table 6.
Assignment of the control methods to speed ranges to achieve maximum drive efficiency.
Total Efficiency Is Minimum |
---|
Speed Range | Control Method |
---|
n < 800 rpm | DTMC(RC) |
n ≥ 800 rpm | DTMC(FC) |