Study of Winding Structure to Reduce Harmonic Currents in Dual Three-Phase Motor
Abstract
:1. Introduction
2. Coordinate System of Dual Three-Phase Motors
2.1. Stationary Orthogonal Subspaces
- k = 1, 13, 25, …, 12 m + 1 (m = 0, 1, 2, …):
- 2.
- k = 11, 23, 35, …, 12 m + 11 (m = 0, 1, 2, …):
- 3.
- k = 5, 17, 29, …, 12 m + 5 (m = 0, 1, 2, …):
- 4.
- k = 7, 19, 31, …, 12 m + 7 (m = 0, 1, 2, …):
2.2. Rotational Orthogonal Subspaces
3. Mathematical Model of Dual Three-Phase IPMSM
3.1. Model with Inductance Saliency
3.2. Model Ignores Inductance Saliency
4. Design Method for Inductance of Dual Three-Phase Motors
4.1. Definition of Winding Distribution Function
4.2. Magnetomotive Force Distribution for Harmonic Currents
- k = 1, 13, 25, …, 12 m + 1 (m = 0, 1, 2, …):
- 2.
- k = 11, 23, 35, …, 12 m + 11 (m = 0, 1, 2, …):
- 3.
- k = 5, 17, 29, …, 12 m + 5 (m = 0, 1, 2, …):
- 4.
- k = 7, 19, 31, …, 12 m + 7 (m = 0, 1, 2, …):
4.3. Calculation of Inductance
- k = 1, 13, 25, …, 12 m + 1 (m = 0, 1, 2, …):
- 2.
- k = 11, 23, 35, …, 12 m + 11 (m = 0, 1, 2, …):
- 3.
- k = 5, 17, 29, …, 12 m + 5 (m = 0, 1, 2, …):
- 4.
- k = 7, 19, 31, …, 12 m + 7 (m = 0, 1, 2, …):
5. Verification by Finite Element Analysis
6. Verification by Circuit Simulation
6.1. Simulation Method
6.2. Simulation Results
6.3. Consideration of the Relationship between the Magnitude of Harmonic Currents and Inductance Value
7. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Harmonic Order k | 1 | 3 | 5 | 7 | 9 | 11 | 13 | … |
---|---|---|---|---|---|---|---|---|
Conventional 3-phase motor | α-β Positive sequence | Zero sequence | α-β Negative sequence | α-β Positive sequence | Zero sequence | α-β Negative sequence | α-β Positive sequence | … |
Dual 3-phase motor | α-β Positive sequence | o1-o2 Zero sequence | z1-z2 Positive sequence | z1-z2 Negative sequence | o1-o2 Zero sequence | α-β Negative sequence | α-β Positive sequence | … |
Parameter | Value |
---|---|
Number of poles | 8 |
Number of slots | 48 |
Stator inner diameter r [mm] | 131 |
Stack length l [mm] | 141 |
Air gap length δ [mm] | 0.5 |
Number of turns N | 4 |
Number of parallels in circuit b | 2 |
Parameter | Value |
---|---|
Reference current [Apk] | 100 |
Fundamental electrical frequency f [Hz] | 66.67 |
Carrier frequency fc [Hz] | 10,000 |
DC voltage [V] | 365 |
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Yoshida, A.; Akatsu, K. Study of Winding Structure to Reduce Harmonic Currents in Dual Three-Phase Motor. World Electr. Veh. J. 2023, 14, 100. https://doi.org/10.3390/wevj14040100
Yoshida A, Akatsu K. Study of Winding Structure to Reduce Harmonic Currents in Dual Three-Phase Motor. World Electric Vehicle Journal. 2023; 14(4):100. https://doi.org/10.3390/wevj14040100
Chicago/Turabian StyleYoshida, Akito, and Kan Akatsu. 2023. "Study of Winding Structure to Reduce Harmonic Currents in Dual Three-Phase Motor" World Electric Vehicle Journal 14, no. 4: 100. https://doi.org/10.3390/wevj14040100