碳纤维固定的高速分块SPMSM转子强度分析
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摘要
针对碳纤维固定的高速分块表贴式永磁同步电机(SPMSM)的转子强度缺乏解析解的问题,基于平面应力模型,采用极坐标下的位移法和应力函数法,推导了考虑永磁体和极间填充块密度及热膨胀系数差异影响的转子强度解析解,并通过有限元法对解析解的准确性进行了验证。在转子强度解析解的基础上,进一步研究了转速、碳纤维护套厚度及碳纤维护套与永磁体间的过盈量等参数对转子强度的影响。结果表明:解析解和有限元法的计算结果相吻合,解析解能够计算考虑永磁体和填充块密度及热膨胀系数差异影响的碳纤维固定高速分块表贴式永磁同步电机的转子应力分布。
Aiming at the lack of analytical solution of rotor strength for high speed segmented surface mounted permanent magnet synchronous machine( SPMSM) with a carbon fiber sleeve,the analytical solution of rotor strength is proposed based on the plane stress model. The displacement method and stress potential method in polar coordinates were employed to deduce the analytical solution,and the influences of different densities and coefficients of thermal expansion of permanent magnets and pole fillers were taken into account. Then the effectiveness of the analytical solution was validated by finite element method. The effects of design parameters on rotor strength,such as rotational speed,thickness of carbon fiber sleeve and interference fit between the carbon fiber sleeve and the permanent magnet,were further investigated based on the analytical solution proposed. It is shown that the results calculated by the analytical solution and finite element method are in good agreement with each other. The analytical solution proposed can predict the stress distribution of the high speed segmented SPMSM's rotor with a carbon fiber sleeve,considering the effects of difference in density and coefficient of thermal expansion between permanent magnets and pole fillers.
Aiming at the lack of analytical solution of rotor strength for high speed segmented surface mounted permanent magnet synchronous machine( SPMSM) with a carbon fiber sleeve,the analytical solution of rotor strength is proposed based on the plane stress model. The displacement method and stress potential method in polar coordinates were employed to deduce the analytical solution,and the influences of different densities and coefficients of thermal expansion of permanent magnets and pole fillers were taken into account. Then the effectiveness of the analytical solution was validated by finite element method. The effects of design parameters on rotor strength,such as rotational speed,thickness of carbon fiber sleeve and interference fit between the carbon fiber sleeve and the permanent magnet,were further investigated based on the analytical solution proposed. It is shown that the results calculated by the analytical solution and finite element method are in good agreement with each other. The analytical solution proposed can predict the stress distribution of the high speed segmented SPMSM's rotor with a carbon fiber sleeve,considering the effects of difference in density and coefficient of thermal expansion between permanent magnets and pole fillers.
引文
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[2]赵祥,范瑜,夏静,等.一种减小永磁电机转子损耗的转子结构[J].电机与控制学报,2019,23(2):62.ZHAO Xiang,FAN Yu,XIA Jing,et al. Rotor structure to reduce rotor losses of permanent magnet electric machines[J]. Electric Machines and Control,2019,23(2):62.
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[6]张超,朱建国,佟文明,等.高速内置式永磁转子强度分析与设计[J].电机与控制学报,2017,21(12):43.ZHANG Chao,ZHU Jianguo,TONG Wenming,et al. Strength analysis and design of high speed interior permanent magnet rotor[J]. Electric Machines and Control,2017,21(12):43.
[7] HONG D,WOO B,KOO D. Rotor dynamics of 120000 r/min 15k W ultra high speed motor[J]. IEEE Transactions on Magnetics,2009,45(6):2831.
[8] BAILEY C,SABAN D M,GUEDES-PINTO P. Design of highspeed direct-connected permanent-magnet motors and generators forthe petrochemical industry[J]. IEEE Transactions on Industry Applications,2009,45(3):1159.
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[10] ZHANG F,DU G,WANG T. Rotor retaining sleeve design for a1. 12-MW high-speed PM machine[J]. IEEE Transactions on Industry Applications,2015,51(5):3675.
[11] BORISAVLJEVIC A,POLINDER H,FERREIRA J A. On the speed limits of permanent-magnet machines[J]. IEEE Transactions on Industrial Electronics,2010,57(1):220.
[12] CHEN L,ZHU C. Rotor strength analysis for high speed permanent magnet machines[C]//Proceedings of the International Conference on Electrical Machines and Systems(ICEMS),October 22-25,2014,Hangzhou,China. 2014:65-69.
[13]王继强,王凤翔,鲍文博,等.高速永磁电机转子设计与强度分析[J].中国电机工程学报,2005,25(15):140.WANG Jiqiang,WANG Fengxiang,BAO Wenbo,et al. Rotor design and strength analysis of high speed permanent magnet machine[J]. Proceedings of the CSEE,2005,25(15):140.
[14]张超,朱建国,韩雪岩.高速表贴式永磁电机转子强度分析[J].中国电机工程学报,2016,36(17):4719.ZHANG Chao,ZHU Jianguo,HAN Xueyan. Rotor strength analysis of high-speed surface mounted permanent magnet motors[J]. Proceedings of the CSEE,2016,36(17):4719.
[15]程文杰,耿海鹏,冯圣,等.高速永磁同步电机转子强度分析[J].中国电机工程学报,2012,32(27):87.CHENG Wenjie,GENG Haipeng,FENG Sheng,et al. Rotor strength analysis of high-speed permanent magnet synchronous motors[J]. Proceedings of the CSEE,2012,32(27):87.
[16]陈亮亮,祝长生,蒋科坚.含极间填充块的高速表贴式永磁同步电机转子强度分析[J].浙江大学学报(工学版),2015,49(09):1738.CHEN Liangliang, ZHU Changsheng, JIANG Kejian. Rotor strength analysis for high-speed surface-mounted permanent magnet synchronous motor with filled blocks between magnetic poles[J]. Journal of Zhejiang University(Engineering Science),2015,49(09):1738.
[17] BINDER A,SCHNEIDER T,KLOHR M. Fixation of buried and surface-mounted magnets in high-speed permanent-magnet synchronous machines[J]. IEEE Transactions on Industrial Electronics,2006,42(4):1031.
[18]陈亮亮,祝长生,王萌.碳纤维护套高速永磁电机热态转子强度[J].浙江大学学报(工学版),2015,49(01):162.CHEN Liangliang,ZHU Changsheng,WANG Meng. Strength analysis for thermal carbon-fiber retaining rotor in high-speed permanent magnet machine[J]. Journal of Zhejiang University(Engineering Science),2015,49(01):162.
[19] BORISAVLJEVIC A,POLINDER H,FERREIRA J A. Enclosure design for a high-speed permanent magnet rotor[C]//Proceedings of the 5th IET International Conference on Power Electronics,Machines and Drives,April 19-21,2010,Brighton,UK. 2010:1-6.
[20]张凤阁,杜光辉,王天煜.高速永磁电机转子不同保护措施的强度分析[J].中国电机工程学报,2013,33(S):195.ZHANG Fengge,DU Guanghui,WANG Tianyu. Rotor strength analysis of high-speed permanent magnet under different protection measures[J]. Proceedings of the CSEE,2013,33(Supplement):195.
[21] CALME O,BIGAUD D,JONES S,et al. Analytical evaluation of stress state in braided orthotropic composite cylinders under lateral compression[J]. Composites Science and Technology,2006,66(15):3040.
[2]赵祥,范瑜,夏静,等.一种减小永磁电机转子损耗的转子结构[J].电机与控制学报,2019,23(2):62.ZHAO Xiang,FAN Yu,XIA Jing,et al. Rotor structure to reduce rotor losses of permanent magnet electric machines[J]. Electric Machines and Control,2019,23(2):62.
[3]郑大伟,朱明刚,郑立允,等.稀土永磁材料在永磁电机中的应用[J].微特电机,2015,43(4):81.ZHENG Dawei,ZHU Minggang,ZHENG Liyun,et al. Application of rare earth permanent magnetic materials for permanent magnet machines[J]. Small and Special Electrical Machines,2015,43(4):81.
[4] KOLONDZOVSKI Z,ARKKIO A,LARJOLA J,et al. Power limits of high-speed permanent-magnet electrical machines for compressor applications[J]. IEEE Transactions on Energy Conversion,2011,26(1):73.
[5] KOLONDZOVSKI Z,BELAHCEN A,ARKKIO A. Comparative thermal analysis of different rotor types for a high-speed permanentmagnet electrical machine[J]. IET Electric Power Applications,2009,3(4):279.
[6]张超,朱建国,佟文明,等.高速内置式永磁转子强度分析与设计[J].电机与控制学报,2017,21(12):43.ZHANG Chao,ZHU Jianguo,TONG Wenming,et al. Strength analysis and design of high speed interior permanent magnet rotor[J]. Electric Machines and Control,2017,21(12):43.
[7] HONG D,WOO B,KOO D. Rotor dynamics of 120000 r/min 15k W ultra high speed motor[J]. IEEE Transactions on Magnetics,2009,45(6):2831.
[8] BAILEY C,SABAN D M,GUEDES-PINTO P. Design of highspeed direct-connected permanent-magnet motors and generators forthe petrochemical industry[J]. IEEE Transactions on Industry Applications,2009,45(3):1159.
[9] SOONG W L,KLIMAN G B,JOHNSON R N,et al. Novel highspeed induction motor for a commercial centrifugal compressor[J]. IEEE Transactions on Industry Applications,2000,36(3):706.
[10] ZHANG F,DU G,WANG T. Rotor retaining sleeve design for a1. 12-MW high-speed PM machine[J]. IEEE Transactions on Industry Applications,2015,51(5):3675.
[11] BORISAVLJEVIC A,POLINDER H,FERREIRA J A. On the speed limits of permanent-magnet machines[J]. IEEE Transactions on Industrial Electronics,2010,57(1):220.
[12] CHEN L,ZHU C. Rotor strength analysis for high speed permanent magnet machines[C]//Proceedings of the International Conference on Electrical Machines and Systems(ICEMS),October 22-25,2014,Hangzhou,China. 2014:65-69.
[13]王继强,王凤翔,鲍文博,等.高速永磁电机转子设计与强度分析[J].中国电机工程学报,2005,25(15):140.WANG Jiqiang,WANG Fengxiang,BAO Wenbo,et al. Rotor design and strength analysis of high speed permanent magnet machine[J]. Proceedings of the CSEE,2005,25(15):140.
[14]张超,朱建国,韩雪岩.高速表贴式永磁电机转子强度分析[J].中国电机工程学报,2016,36(17):4719.ZHANG Chao,ZHU Jianguo,HAN Xueyan. Rotor strength analysis of high-speed surface mounted permanent magnet motors[J]. Proceedings of the CSEE,2016,36(17):4719.
[15]程文杰,耿海鹏,冯圣,等.高速永磁同步电机转子强度分析[J].中国电机工程学报,2012,32(27):87.CHENG Wenjie,GENG Haipeng,FENG Sheng,et al. Rotor strength analysis of high-speed permanent magnet synchronous motors[J]. Proceedings of the CSEE,2012,32(27):87.
[16]陈亮亮,祝长生,蒋科坚.含极间填充块的高速表贴式永磁同步电机转子强度分析[J].浙江大学学报(工学版),2015,49(09):1738.CHEN Liangliang, ZHU Changsheng, JIANG Kejian. Rotor strength analysis for high-speed surface-mounted permanent magnet synchronous motor with filled blocks between magnetic poles[J]. Journal of Zhejiang University(Engineering Science),2015,49(09):1738.
[17] BINDER A,SCHNEIDER T,KLOHR M. Fixation of buried and surface-mounted magnets in high-speed permanent-magnet synchronous machines[J]. IEEE Transactions on Industrial Electronics,2006,42(4):1031.
[18]陈亮亮,祝长生,王萌.碳纤维护套高速永磁电机热态转子强度[J].浙江大学学报(工学版),2015,49(01):162.CHEN Liangliang,ZHU Changsheng,WANG Meng. Strength analysis for thermal carbon-fiber retaining rotor in high-speed permanent magnet machine[J]. Journal of Zhejiang University(Engineering Science),2015,49(01):162.
[19] BORISAVLJEVIC A,POLINDER H,FERREIRA J A. Enclosure design for a high-speed permanent magnet rotor[C]//Proceedings of the 5th IET International Conference on Power Electronics,Machines and Drives,April 19-21,2010,Brighton,UK. 2010:1-6.
[20]张凤阁,杜光辉,王天煜.高速永磁电机转子不同保护措施的强度分析[J].中国电机工程学报,2013,33(S):195.ZHANG Fengge,DU Guanghui,WANG Tianyu. Rotor strength analysis of high-speed permanent magnet under different protection measures[J]. Proceedings of the CSEE,2013,33(Supplement):195.
[21] CALME O,BIGAUD D,JONES S,et al. Analytical evaluation of stress state in braided orthotropic composite cylinders under lateral compression[J]. Composites Science and Technology,2006,66(15):3040.
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