On the Mathematical Modeling of Line-Start Permanent Magnet Synchronous Motors under Static Eccentricity
Abstract
:1. Introduction
2. Mathematical and FEM Modeling of LSPMS Motors
2.1. Dynamical Model of LSPMS Motor under Healthy Conditions
2.2. Dynamical Model of LSPMS Motor under Static Eccentricity Condition
2.2.1. Modeling of Static Eccentricity
2.2.2. Inductance Calculations under Static Eccentricity
2.3. Modeling of LSPMS Motor Using FEM
3. Simulation Results
4. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Parameter | Value |
---|---|
Rated power (W) | 750 |
Rated Voltage (V) | 415 |
Stator phase resistance (Ohm) | 19.15 |
Stator leakage inductance (mH) | 0.004 |
Number of poles | 4 |
Frequency (Hz) | 50 |
Air-gap length (mm) | 0.3 |
Outer/inner stator diameter (mm) | 120/75 |
Number of stator/rotor slots | 24/16 |
Axial length of stator core (mm) | 75 |
Number of turns per slot | 139 |
Height of stator yoke (mm) | 45 |
Height of stator/rotor slots (mm) | 13/9.5 |
Magnet material | Recoma-24HE |
Remanent of magnet (T) | 1.02 |
Case Number | Load N·m | % | %Correlation | %NMSE |
---|---|---|---|---|
Case 1 | 0 | 0 | 82.3 | 0.8 |
Case 2 | 16 | 83.1 | 0.7 | |
Case 3 | 1.5 | 0 | 81.5 | 2.1 |
Case 4 | 16 | 83.7 | 2.0 | |
Case 5 | 22 | 80.3 | 2.3 | |
Case 6 | 2 | 0 | 81.6 | 2.4 |
Case 7 | 16 | 80.0 | 2.4 | |
Case 8 | 2.1 | 0 | 76.0 | 2.6 |
Case 9 | 13 | 76.3 | 3.1 | |
Case 10 | 19 | 75.0 | 3.5 | |
Case 11 | 30 | 76.2 | 3.2 | |
Case 12 | 2.2 | 0 | 77.4 | 3.2 |
Case 13 | 13 | 76.8 | 3.1 | |
Case 14 | 16 | 76.0 | 3.8 | |
Case 15 | 2.3 | 0 | 80.1 | 3.2 |
Case 16 | 18 | 74.1 | 4.1 | |
Case 17 | 30 | 79.0 | 3.4 | |
Case 18 | 33 | 77.1 | 3.7 | |
Case 19 | 2.4 | 0 | 75.0 | 3.5 |
Case 20 | 16 | 74.0 | 4.1 | |
Case 21 | 33 | 76.0 | 3.2 |
Eccentricity Percentage | %NMSE | ||||||||
---|---|---|---|---|---|---|---|---|---|
Under Healthy state () | Under | Under | |||||||
Load Parameter | 0 N·m | 1.5 N·m | 2.4 N·m | 0 N·m | 1.5 N·m | 2.4 N·m | 0 N·m | 1.5 N·m | 2.4 N·m |
0.20 | 2.03 | 4.62 | 0.99 | 2.70 | 4.43 | 0.99 | 2.63 | 4.39 | |
0.65 | 1.47 | 3.28 | 0.24 | 2.25 | 2.45 | 1.24 | 2.49 | 9.40 | |
1.50 | 2.93 | 10.00 | 0.76 | 3.03 | 11.48 | 1.18 | 3.67 | 18.55 | |
2.59 | 2.81 | 10.31 | 1.76 | 3.79 | 11.45 | 1.15 | 3.35 | 13.71 |
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Hussein, I.; Al-Hamouz, Z.; Abido, M.A.; Milhem, A. On the Mathematical Modeling of Line-Start Permanent Magnet Synchronous Motors under Static Eccentricity. Energies 2018, 11, 197. https://doi.org/10.3390/en11010197
Hussein I, Al-Hamouz Z, Abido MA, Milhem A. On the Mathematical Modeling of Line-Start Permanent Magnet Synchronous Motors under Static Eccentricity. Energies. 2018; 11(1):197. https://doi.org/10.3390/en11010197
Chicago/Turabian StyleHussein, Ibrahem, Zakariya Al-Hamouz, M. A. Abido, and Abdulaziz Milhem. 2018. "On the Mathematical Modeling of Line-Start Permanent Magnet Synchronous Motors under Static Eccentricity" Energies 11, no. 1: 197. https://doi.org/10.3390/en11010197