Design and Analysis of Rotors-modulate Magnetic Gear
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摘要: 针对传统磁力齿轮高速运转时转子永磁体会破坏的缺点,提出没有永磁体的转子调磁式磁力齿轮。根据磁场调制原理建立了输入输出转矩与气隙磁场间的关系,使用二维有限元法分析其转矩传递能力;使用参数化扫描对不同的转子尺寸参数组合进行优化分析,得到输出转矩与转子尺寸间的关系,并探究各转子尺寸参数对输出转矩影响的原因。仿真结果表明:输出转矩与转子的尺寸参数有直接关系,存在最优尺寸使输出转矩达到最大值;优化后输出转矩增加了81.2%,低速转子尺寸对输出转矩影响最大。最后对气隙中磁密进行谐波分析,结果表明优化前后主要谐波的变化与转矩变化一致,验证了转子调磁式磁力齿轮设计分析的有效性。Abstract: Aiming at the shortcoming that the permanent magnets would be broken in rotors when magnetic gear is working at high speed condition, a rotor-modulate magnetic gear without permanent magnet in rotors is proposed. According to the principle of magnetic field modulation, the relationship between input and output torque and air gap magnetic field is established. The torque transmission capacity is analyzed by 2D FEM. The parametric scanning is used to optimization analysis of different combinations of rotor size parameters to obtain the output torque, the reasons for the influence of rotor size parameters on the output torque are then explored. The simulation result shows that the output torque has a direct relationship with the size parameters of rotor. An optimal size will make the output torque reach the maximum value. After optimization, the output torque increases by 81.2%, and the low-speed rotor size has the greatest influence on the output torque. Finally, the harmonic analysis of the magnetic density in the air gap is carried out. The results show that the main harmonics change before and after the optimization are consistent with the torque variation, and the validity of the design and analysis of the rotor modulate magnetic gear is verified.
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Key words:
- rotors modulate magnetic gear /
- 2D FEM /
- parameter optimization /
- harmonic analysis
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表 1 转子调磁式磁力齿轮基本尺寸
尺寸参数 参数值 定子永磁体径向宽度ls /mm 10 低速转子调磁铁块外圆半径rlo /mm 89 低速转子调磁铁块径向宽度ll /mm 10 低速转子调磁铁块扇形角al /(°) 8 高速转子扇形齿外圆半径rho /mm 78 高速转子扇形齿径向宽度l /mm 10 高速转子扇形齿扇形角ah /(°) 40 气隙径向宽度lag /mm 1 表 2 待优化参数的初始值其优化范围
参数 初始值 优化范围 低速转子调磁铁块径向宽度ll /mm 10 3 ~ 15 低速转子调磁铁块扇形角al /(°) 8 5 ~ 15 高速转子扇形齿径向宽度lh /mm 10 5 ~ 40 高速转子扇形齿扇形角ah /(°) 40 30 ~ 90 定子永磁体径向宽度ls /mm 10 5 ~ 25 表 3 输出转矩对比
输出转
矩/(N·m)较上一步提
升百分比/%总提升
百分比/%优化前 112.6 − − 低速转子优化后 153.6 36.4 36.4 高速转子优化后 161.8 5.3 43.7 定子永磁体优化后 193.8 19.8 81.2 表 4 优化前后尺寸对比
参数 优化前 优化后 低速转子调磁铁块径向宽度ll /mm 10 6 低速转子调磁铁块扇形角al /(°) 8 12 高速转子扇形齿径向宽度lh /mm 10 30 高速转子扇形齿扇形角ah /(°) 40 55 定子永磁体径向宽度ls /mm 10 15 -
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