Electromagnetic Vibration Analysis and Slot–Pole Structural Optimization for a Novel Integrated Permanent Magnet In-Wheel Motor
Abstract
:1. Introduction
2. Structure of the Integrated PM-IWM
3. Analysis of Magnetic Exciting Source
3.1. Analytical Model of Magnetic Field
3.1.1. Vector Potential Distribution
3.1.2. Interface Conditions and Harmonic Coefficient Solution
3.1.3. Flux Density of Air-Gap Subdomain
3.2. Electromagnetic Force Model
3.3. Electromagnetic Finite Element Calculation and Analysis
4. Analysis of Vertical Electromagnetic Vibration
4.1. Vertical Dynamics Model
4.2. Vibration Response under Magnetic Force Harmonics
5. Optimization and Verification of Slot–Pole Structure Parameters
5.1. Multi-Objective Optimization Based on AWPSO Algorithm
5.2. Verification and Discussions
6. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
References
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Parameters | Symbol | Values | Parameters | Symbol | Values |
---|---|---|---|---|---|
Pole number | 2p | 18 | Slot top radius | Rst | 166 mm |
Slot number | Ns | 24 | Slot bottom radius | Rsb | 135 mm |
Magnet thickness | hm | 5 mm | Relative permeability of magnet | μr | 1.02 H/m |
Winding turns | wt | 48 | Slot width angle | lsa | 8.5° |
Pole-arc/pole-pitch | σp | 0.9 | Slot opening width angle | loa | 2.7° |
Outer rotor radius | Ry | 178.5 mm | Magnet remanence | Br | 0.96 T |
Inner rotor radius | Rm | 172.5 mm | Rated speed | ωr | 1500 r/min |
Air-gap length | e | 1.5 mm | Rated current | Ir | 55 A |
Active length | la | 120 mm | Rated power | Pr | 25 kW |
Stator bore radius | Rs | 171 mm | Rated torque | Tr | 159 N·m |
Variable | Value | Variable | Value |
---|---|---|---|
m1 (kg) | 31.29 | c21 (N·s/m) | 0 |
m2 (kg) | 16.50 | k22 (kN/m) | 11700 |
m3 (kg) | 19.90 | c22 (N·s/m) | 650 |
k1 (kN/m) | 195.80 | k3 (kN/m) | 80 |
c1 (N·s/m) | 1100 | c3 (N·s/m) | 1100 |
k21 (kN/m) | 35,000 |
Design Variable | Initial Value | Preset Range | Step Value |
---|---|---|---|
σp | 0.9 | 0.7~0.95 | 0.01 |
hm | 5 mm | 4.0~6.0 mm | 0.1 mm |
lsa | 8.5° | 7.0~9.0° | 0.05° |
loa | 2.7° | 2.0~3.0° | 0.05° |
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Wang, Q.; Zhao, P.; Du, X.; Lin, F.; Li, X. Electromagnetic Vibration Analysis and Slot–Pole Structural Optimization for a Novel Integrated Permanent Magnet In-Wheel Motor. Energies 2020, 13, 3488. https://doi.org/10.3390/en13133488
Wang Q, Zhao P, Du X, Lin F, Li X. Electromagnetic Vibration Analysis and Slot–Pole Structural Optimization for a Novel Integrated Permanent Magnet In-Wheel Motor. Energies. 2020; 13(13):3488. https://doi.org/10.3390/en13133488
Chicago/Turabian StyleWang, Qiang, Pingping Zhao, Xianbin Du, Fen Lin, and Xu Li. 2020. "Electromagnetic Vibration Analysis and Slot–Pole Structural Optimization for a Novel Integrated Permanent Magnet In-Wheel Motor" Energies 13, no. 13: 3488. https://doi.org/10.3390/en13133488