双V型结构削弱永磁直线电机磁阻力波动方法
|
摘要
磁阻力是单边平板型永磁直线电机(PMLM)推力波动的主要组成部分,影响了其在精密驱动领域的应用,为此,提出双V型结构削弱端部效应和齿槽效应产生的推力波动的方法。首先分析齿槽磁阻力和端部磁阻力的波动规律;然后基于积分法推导齿槽效应磁阻力与磁极的V型深度之间关系。接着针对特定深度的V型磁极,推导端部效应磁阻力与V型端部电枢铁心V型深度的关系。最后,以12槽10极PMLM为例,采用有限元仿真和实验验证,结果证明该方法能够有效削弱端部效应和齿槽效应产生的磁阻推力波动。
The detent force is a major component of the thrust fluctuation in unilateral plate type permanent magnet linear motor(PMLM), affecting the application of PMLM in the field of precision driving. A double-V-shaped structure is put forward to weaken the thrust fluctuation caused by the end effect and the slot effect. First, this paper analyzes the fluctuation rules of the slot detent force and the end detent force. Next, the relationship between the slot detent force and the V-shape depth of the magnetic pole is derived based on the integral method. The relationship between the end detent force and V-shape depth is derived based on a special V-shape depth. Finally, taken a 12-slot 10-pole PMLM as an example, the finite element simulation and experimental results show that the method can effectively weaken the detent force fluctuation caused by the end and the slot effects.
The detent force is a major component of the thrust fluctuation in unilateral plate type permanent magnet linear motor(PMLM), affecting the application of PMLM in the field of precision driving. A double-V-shaped structure is put forward to weaken the thrust fluctuation caused by the end effect and the slot effect. First, this paper analyzes the fluctuation rules of the slot detent force and the end detent force. Next, the relationship between the slot detent force and the V-shape depth of the magnetic pole is derived based on the integral method. The relationship between the end detent force and V-shape depth is derived based on a special V-shape depth. Finally, taken a 12-slot 10-pole PMLM as an example, the finite element simulation and experimental results show that the method can effectively weaken the detent force fluctuation caused by the end and the slot effects.
引文
[1]王一光,李晓杰,陈兴林.基于永磁直线同步电机的光刻机掩模台鲁棒自适应神经网络控制[J].电工技术学报,2016,31(6):38-46.Wang Yiguang,Li Xiaojie,Chen Xinglin.A robust adaptive neural network control method based on permanent magnetic linear synchronous motor for the reticle stage of lithography[J].Transactions of China Electrotechnical Society,2016,31(6):38-46.
[2]王伟华,张子娇,周海波,等.一种同步直线电机推力波动特性的检测方法[J].中国电机工程学报,2016,36(2):540-546.Wang Weihua,Zhang Zijiao,Zhou Haibo,et al.A method for detecting the thrust fluctuation characteristics of synchronous linear motors[J].Proceedings of the CSEE,2016,36(2):540-546.
[3]Chen Mei-Yung,Lu Jian-Shiun.High-precision motion control for a linear permanent magnet iron core synchronous motor drive in position platform[J].IEEE Transactions on Industrial Informatics,2014,106(1):99-108.
[4]卢琴芬,程传莹,叶云岳,等.每极分数槽永磁直线电机的槽极数配合研究[J].中国电机工程学报,2012,32(36):64-78.Lu Qinfen,Cheng Chuanying,Ye Yunyue,et al.Thrust ripple optimization and experiment for PMLSM[J].Proceedings of the CSEE,2012,32(36):64-78.
[5]Jawad Faiz,Mahdi Ebrahimi-Salari,Gh.Shahgholian.Reduction of cogging force in linear permanentmagnet generators[J].IEEE Transactions on Magnetics,2010,46(1):135-140.
[6]彭兵,张囡,夏加宽,等.永磁直线电机端部效应力的解析计算[J].中国电机工程学报,2016,36(2):547-553.Peng Bing,Zhang Nan,Xia Jiakuan,et al.Analytical calculation for end effect forces in permanent magnet linear motors[J].Proceedings of the CSEE,2016,36(2):547-553.
[7]彭兵,刘铁法,张囡,等.凹型端齿削弱永磁直线电机端部力波动方法[J].电工技术学报,2015,30(7):119-124.Peng Bing,Liu Tiefa,Zhang Nan,et al.A method for reducing the end effect force fluctuation by the concave profile end-tooth in permanent magnet linear motors[J].Transactions of China Electrotechnical Society,2015,30(7):119-124.
[8]Zhu Z Q,Xia Z P,Howe D,et al.Reduction of cogging force in slotless linear permanent magnet motors[J].IEE Proceedings Electric Power Applications,1997,144(4):277-282.
[9]徐月同,傅建中,陈子辰.永磁直线同步电机推力波动优化及实验研究[J].中国电机工程学报,2005,25(12):122-126.Xu Yuetong,Fu Jianzhong,Chen Zichen.Thrust ripple optimization and experiment for PMLSM[J].Proceedings of the CSEE,2005,25(12):122-126.
[10]Kim Sung-Jin,Park Eui-Jong,Jung Sang-Yong,et al.Optimal design of reformed auxiliary teeth for reducing end detent force of stationary discontinuous armature PMLSM[J].IEEE Transactions on Applied Superconductivity,2016,26(4):5203305.
[11]寇宝泉,张赫,郭守仑,等.辅助极一体式永磁同步直线电机端部定位力抑制技术[J].电工技术学报,2015,30(6):106-113.Kou Baoquan,Zhang He,Guo Shoulun,et al.End effect detent force reduction for permanent magnet linear synchronous motors with auxiliary poles onepiece structure[J].Transactions of China Electrotechnical Society,2015,30(6):106-113.
[12]Cai Jiong-jiong,Lu Qinfen,Huang Xiaoyan,et al.Thrust ripple of a permanent magnet LSM with step skewed magnets[J].IEEE Transactions on Magnetics,2012,48(11):4666-4669.
[13]Xu Xiaozhuo,Wang Xudong,Si Jikai,et al.Analysis of thrust ripple of permanent magnet linear synchronous motor with skewed PMs[C]//18th International Conference on Electrical Machines and Systems(ICEMS),Pattaya,Thailand,2015:1141-1146.
[14]夏加宽,沈丽,彭兵,等.齿槽效应对永磁直线伺服电机法向力波动的影响[J].中国电机工程学报,2015,35(11):2847-2853.Xia Jiakuan,Shen Li,Peng Bing,et al.Analytical calculation for end effect forces in permanent magnet linear motors[J].Proceedings of the CSEE,2016,35(11):2847-2853.
[15]夏加宽,沈丽,彭兵,等.磁极错位削弱永磁直线伺服电动机齿槽法向力波动方法[J].电工技术学报,2015,30(24):11-16,37.Xia Jiakuan,Shen Li,Peng Bing,et al.Study on the magnet-staggered method to weaken the cogging effect normal force ripple of permanent magnet linear servo motor[J].Transactions of China Electrotechnical Society,2015,30(24):11-16,37.
[16]王道涵,王秀和.新型永磁型磁通切换型磁阻电机齿槽转矩机理分析和解析分析模型[J].电工技术学报,2015,30(10):77-82.Wang Daohan,Wang Xiuhe.Preliminary study for mechanisms and analytical model of cogging torque in novel permanent magnet flux switching machine[J].Transactions of China Electrotechnical Society,2015,30(10):77-82.
[17]王成元,夏加宽,孙宜标.现代电机控制技术[M].2版.北京:机械工业出版社,2014.
[18]王昊,张之敬,刘成颖.永磁直线同步电机定位力分析与实验研究[J].中国电机工程学报,2010,30(15):58-63.Wang Hao,Zhang Zhijing,Liu Chengying.Detent force analysis and experiment for permanent magnet linear synchronous motor[J].Proceedings of the CSEE,2010,30(15):58-63.
[2]王伟华,张子娇,周海波,等.一种同步直线电机推力波动特性的检测方法[J].中国电机工程学报,2016,36(2):540-546.Wang Weihua,Zhang Zijiao,Zhou Haibo,et al.A method for detecting the thrust fluctuation characteristics of synchronous linear motors[J].Proceedings of the CSEE,2016,36(2):540-546.
[3]Chen Mei-Yung,Lu Jian-Shiun.High-precision motion control for a linear permanent magnet iron core synchronous motor drive in position platform[J].IEEE Transactions on Industrial Informatics,2014,106(1):99-108.
[4]卢琴芬,程传莹,叶云岳,等.每极分数槽永磁直线电机的槽极数配合研究[J].中国电机工程学报,2012,32(36):64-78.Lu Qinfen,Cheng Chuanying,Ye Yunyue,et al.Thrust ripple optimization and experiment for PMLSM[J].Proceedings of the CSEE,2012,32(36):64-78.
[5]Jawad Faiz,Mahdi Ebrahimi-Salari,Gh.Shahgholian.Reduction of cogging force in linear permanentmagnet generators[J].IEEE Transactions on Magnetics,2010,46(1):135-140.
[6]彭兵,张囡,夏加宽,等.永磁直线电机端部效应力的解析计算[J].中国电机工程学报,2016,36(2):547-553.Peng Bing,Zhang Nan,Xia Jiakuan,et al.Analytical calculation for end effect forces in permanent magnet linear motors[J].Proceedings of the CSEE,2016,36(2):547-553.
[7]彭兵,刘铁法,张囡,等.凹型端齿削弱永磁直线电机端部力波动方法[J].电工技术学报,2015,30(7):119-124.Peng Bing,Liu Tiefa,Zhang Nan,et al.A method for reducing the end effect force fluctuation by the concave profile end-tooth in permanent magnet linear motors[J].Transactions of China Electrotechnical Society,2015,30(7):119-124.
[8]Zhu Z Q,Xia Z P,Howe D,et al.Reduction of cogging force in slotless linear permanent magnet motors[J].IEE Proceedings Electric Power Applications,1997,144(4):277-282.
[9]徐月同,傅建中,陈子辰.永磁直线同步电机推力波动优化及实验研究[J].中国电机工程学报,2005,25(12):122-126.Xu Yuetong,Fu Jianzhong,Chen Zichen.Thrust ripple optimization and experiment for PMLSM[J].Proceedings of the CSEE,2005,25(12):122-126.
[10]Kim Sung-Jin,Park Eui-Jong,Jung Sang-Yong,et al.Optimal design of reformed auxiliary teeth for reducing end detent force of stationary discontinuous armature PMLSM[J].IEEE Transactions on Applied Superconductivity,2016,26(4):5203305.
[11]寇宝泉,张赫,郭守仑,等.辅助极一体式永磁同步直线电机端部定位力抑制技术[J].电工技术学报,2015,30(6):106-113.Kou Baoquan,Zhang He,Guo Shoulun,et al.End effect detent force reduction for permanent magnet linear synchronous motors with auxiliary poles onepiece structure[J].Transactions of China Electrotechnical Society,2015,30(6):106-113.
[12]Cai Jiong-jiong,Lu Qinfen,Huang Xiaoyan,et al.Thrust ripple of a permanent magnet LSM with step skewed magnets[J].IEEE Transactions on Magnetics,2012,48(11):4666-4669.
[13]Xu Xiaozhuo,Wang Xudong,Si Jikai,et al.Analysis of thrust ripple of permanent magnet linear synchronous motor with skewed PMs[C]//18th International Conference on Electrical Machines and Systems(ICEMS),Pattaya,Thailand,2015:1141-1146.
[14]夏加宽,沈丽,彭兵,等.齿槽效应对永磁直线伺服电机法向力波动的影响[J].中国电机工程学报,2015,35(11):2847-2853.Xia Jiakuan,Shen Li,Peng Bing,et al.Analytical calculation for end effect forces in permanent magnet linear motors[J].Proceedings of the CSEE,2016,35(11):2847-2853.
[15]夏加宽,沈丽,彭兵,等.磁极错位削弱永磁直线伺服电动机齿槽法向力波动方法[J].电工技术学报,2015,30(24):11-16,37.Xia Jiakuan,Shen Li,Peng Bing,et al.Study on the magnet-staggered method to weaken the cogging effect normal force ripple of permanent magnet linear servo motor[J].Transactions of China Electrotechnical Society,2015,30(24):11-16,37.
[16]王道涵,王秀和.新型永磁型磁通切换型磁阻电机齿槽转矩机理分析和解析分析模型[J].电工技术学报,2015,30(10):77-82.Wang Daohan,Wang Xiuhe.Preliminary study for mechanisms and analytical model of cogging torque in novel permanent magnet flux switching machine[J].Transactions of China Electrotechnical Society,2015,30(10):77-82.
[17]王成元,夏加宽,孙宜标.现代电机控制技术[M].2版.北京:机械工业出版社,2014.
[18]王昊,张之敬,刘成颖.永磁直线同步电机定位力分析与实验研究[J].中国电机工程学报,2010,30(15):58-63.Wang Hao,Zhang Zhijing,Liu Chengying.Detent force analysis and experiment for permanent magnet linear synchronous motor[J].Proceedings of the CSEE,2010,30(15):58-63.