电枢分段供电永磁直线同步电机的非线性数学模型

doi:10.19595/j.cnki.1000-6753.tces.201078

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摘要电枢分段供电永磁直线同步电机（PMLSM）中,相邻分段铁心的存在会导致气隙磁场脉振,动子穿过电枢定子段也会引发复杂的暂态过程。为准确描述电机的动态过程,该文考虑以上两种特有的电磁特性,建立双三相分段供电PMLSM的相空间模型。首先,采用解析法分析脉振气隙磁场的成因,研究电感不平衡以及饱和效应问题,将六相电流转化到αβ 坐标系下建立二维电感查询表,有效地降低了模型的运算量。其次,引入易于求导的Sigmoid函数构造随动子位置变化的耦合系数,准确描述动子通过分段过程产生的空载磁链及反电动势。依据上述方法构建电机相空间模型,与有限元模型进行对比,两者电压与推力计算结果一致。最后,在RT-Lab中搭建基于相空间模型的半实物实验平台,结果表明,该模型能够准确地体现电机的各种效应,可以替代计算成本较大的有限元模型。

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关键词 ：永磁直线同步电机, 分段供电, 磁场饱和效应, 相空间模型

Abstract：Due to the segmented arrangement of windings in long primary dual-three phase permanent magnet linear synchronous machine (PMLSM), the adjacent segments will cause the off-set pulsating magnetic field, and the mover passing through the powered segment will also cause complex transient processes. In this paper, in order to describe the dynamic characteristics of the PMLSM precisely, a phase-domain mathematic model is established and the two fore-mentioned special effects are considered. The causes of off-set pulsation in the air-gap flux distribution are analyzed by the analytical method, and the unbalanced inductance and saturation effects caused by the off-set flux distribution are studied. A 2-D inductance look-up table in αβ coordinate system is established to reduce the computation consumption of the model. Then, the easy-to-derivative Sigmoid function is introduced to describe the no load flux linkage and back electromagnetic force. Finally, the mathematic model is established, the voltage and thrust are calculated by the model and verified by the finite element method. Finally, an experiment platform based on the RT-Lab is built. The results show that the model can reflect the various effects of the motor and can replace the finite element model with a large computational cost.

Key words： Permanent magnet linear synchronous machine segmented powered saturation effect of magnetic field phase-domain model

收稿日期: 2020-08-30

PACS:

TM359.4

基金资助:国家重点研发计划高速磁浮交通系统关键技术研究课题资助项目（2016YFB1200602-20）

通讯作者: 史黎明男,1964年生,研究员,研究方向为直线电机设计及其控制、无线电能传输技术。E-mail: limings@mail.iee.ac.cn

作者简介: 郭科宇男,1993年生,博士研究生,研究方向为永磁直线同步电机设计及控制。E-mail: guoky93@mail.iee.ac.cn

引用本文:

郭科宇, 李耀华, 史黎明, 周世炯, 徐飞. 电枢分段供电永磁直线同步电机的非线性数学模型[J]. 电工技术学报, 2021, 36(6): 1126-1137. Guo Keyu, Li Yaohua, Shi Liming, Zhou Shijiong, Xu Fei. Non-Linear Mathematic Model of a Segmented Powered Permanent Magnet Linear Synchronous Machine. Transactions of China Electrotechnical Society, 2021, 36(6): 1126-1137.

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[1] 张邦富, 程明, 王飒飒, 等. 基于改进型代理模型优化算法的磁通切换永磁直线电机优化设计[J]. 电工技术学报, 2020, 35(5): 1013-1021.
Zhang Bangfu, Cheng Ming, Wang Sasa, et al.Optimal design of flux-switching permanent magnet linear machine based on improved surrogate-based optimization algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1013-1021.
[2] 曹瑞武, 苏恩超, 张学. 轨道交通用次级分段型直线磁通切换永磁电机研究[J]. 电工技术学报, 2020, 35(5): 1001-1012.
Cao Ruiwu, Su Enchao, Zhang Xue.Investigation of linear flux-switching permanent magnet motor with segmented secondary for rail transit[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1001-1012.
[3] 王明杰, 徐伟, 杨存祥, 等. 基于精确子域模型的永磁直线同步电机空载磁场解析计算[J]. 电工技术学报, 2020, 35(5): 942-953.
Wang Mingjie, Xu Wei, Yang Cunxiang, et al.Analytical calculation of no-load magnetic field in permanent magnet linear synchronous motors based on an accurate subdomain model[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 942-953.
[4] 许孝卓, 孙震, 汪旭东, 等. Halbach交替极永磁同步直线电机特性分析[J]. 电工技术学报, 2019, 34(9): 1825-1833.
Xu Xiaozhuo, Sun Zhen, Wang Xudong, et al.Characteristic of a novel Halbach array consequent- pole[J]. Transactions of China Electrotechnical Society, 2019, 34(9): 1825-1833.
[5] 麦志勤, 肖飞, 刘计龙, 等. 基于准比例谐振级联PI的双三相永磁同步电机谐波电流抑制策略[J]. 电工技术学报, 2018, 33(24): 5751-5759.
Mai Zhiqin, Xiao Fei, Liu Jilong, et al.Harmonic current suppression strategy of dual three-phase permanent magnet synchronous motor based on quasi proportional resonant cascading PI[J]. Transactions of China Electrotechnical Society, 2018, 33(24): 5751-5759.
[6] 高闯, 赵文祥, 吉敬华, 等. 低谐波双三相永磁同步电机及其容错控制[J]. 电工技术学报, 2017, 32(增刊1): 124-130.
Gao Chuang, Zhao Wenxiang, Ji Jinghua, et al.Low harmonic dual three-phase permanent magnet synchronous motor and fault-tolerant control[J]. Transactions of China Electrotechnical Society, 2017, 32(S1): 124-130.
[7] 李小庆, 朱景伟, 孙军浩, 等. 双绕组永磁容错电机矢量控制系统研究[J]. 电工技术学报, 2016, 31(5): 26-34.
Li Xiaoqing, Zhu Jingwei, Sun Junhao, et al.Study on the vector control system for dual winding fault- tolerant permanent magnet motors[J]. Transactions of China Electrotechnical Society, 2016, 31(5): 26-34.
[8] 张明元, 马伟明, 何娜. 长初级直线电动机分段供电技术综述[J]. 中国电机工程学报, 2013, 33(27): 96-104, 14.
Zhang Mingyuan, Ma Weiming, He Na.Application of block feeding methods in long primary linear motors[J]. Proceedings of the CSEE, 2013, 33(27): 96-104, 14.
[9] 马名中, 马伟明, 范慧丽, 等. 长初级直线感应电机分段供电切换暂态过程[J]. 电机与控制学报, 2015, 19(9): 1-7.
Ma Mingzhong, Ma Weiming, Fan Huili, et al.Switch transient process of section powered long- primary linear induction motor[J]. Electric Machines and Control, 2015, 19(9): 1-7.
[10] 张明元, 马伟明, 徐兴华, 等. 一种考虑电流过零的直线电机分段供电策略[J]. 海军工程大学学报, 2019, 31(4): 11-16.
Zhang Mingyuan, Ma Weiming, Xu Xinghua, et al.A block feeding strategy for linear motor considering switching at current-crossing point[J]. Journal of Naval University of Engineering, 2019, 31(4): 11-16.
[11] Quéval L, Ohsaki H.Nonlinear abc-model for electrical machines using N-D lookup tables[J]. IEEE Transactions on Energy Conversion, 2015, 30(1): 316-322.
[12] Leonardo L D, Parasiliti F, Tursini M, et al.Transient analysis of PM synchronous motor drives by finite element model co-simulation[C]//IECON 2013-39th Annual Conference of the IEEE Industrial Electronics Society, Vienna, 2013: 6834-6840.
[13] Parasiliti F, Villani M, Tassi A.Dynamic analysis of synchronous reluctance motor drives based on simulink® and finite element model[C]//IECON 2006-32nd Annual Conference on IEEE Industrial Electronics, Paris, 2006: 1516-1520.
[14] Jabbar M A, Liu Zhejie, Dong Jing.Time-stepping finite-element analysis for the dynamic performance of a permanent magnet synchronous motor[J]. IEEE Transactions on Magnetics, 2003, 39(5): 2621-2623.
[15] Tursini M, Villani M, Tullio A D, et al.Nonlinear model suitable for the offline cosimulation of fault- tolerant PM motors drives[J]. IEEE Transactions on Industry Applications, 2017, 53(4): 3719-3729.
[16] Wang L, Jatskevich J, Dommel H W.Re-examination of synchronous machine modeling techniques for electromagnetic transient simulations[J]. IEEE Transa- ctions on Power Systems, 2007, 22(3): 1221-1230.
[17] Fernandez-Bernal F, Garcia-Cerrada A, Faure R.Determination of parameters in interior permanent- magnet synchronous motors with iron losses without torque measurement[J]. IEEE Transactions on Industry Applications, 2001, 37(5): 1265-1272.
[18] Rafaq M S, Mwasilu F, Kim J, et al.Online parameter identification for model-based sensorless control of interior permanent magnet synchronous machine[J]. IEEE Transactions on Power Electronics, 2017, 32(6): 4631-4643.
[19] Mohammed O A, Liu S, Liu Z.Physical modeling of PM synchronous motors for integrated coupling with machine drives[J]. IEEE Transactions on Magnetics, 2005, 41(5): 1628-1631.
[20] Fasil M, Mijatovic N, Jensen B B, et al.Nonlinear dynamic model of PMBLDC motor considering core losses[J]. IEEE Transactions on Industrial Electronics, 2017, 64(12): 9282-9290.
[21] 鲁军勇, 马伟明, 孙兆龙, 等. 多段初级直线感应电机静态纵向边端效应研究[J]. 中国电机工程学报, 2009, 29(33): 95-101.
Lu Junyong, Ma Weiming, Sun Zhaolong, et al.Research on static longitudinal end effect of linear induction motor with multi-segment primary[J]. Proceedings of the CSEE, 2009, 29(33): 95-101.
[22] 聂世雄, 付立军, 许金, 等. 分段供电直线感应电机动子不对称模型及参数计算[J]. 电机与控制学报, 2017, 21(2): 10-17.
Nie Shixiong, Fu Lijun, Xu Jin, et al.Asymmetrical model and parameter calculation of segment-powered linear inductive motor mover[J]. Electric Machines and Control, 2017, 21(2): 10-17.
[23] 许金, 马伟明, 鲁军勇, 等. 分段供电直线感应电机气隙磁场分布和互感不对称分析[J]. 中国电机工程学报, 2011, 31(15): 61-68.
Xu Jin, Ma Weiming, Lu Junyong, et al.Analysis of air-gap magnetic field distribution and mutual inductance asymmetry of sectionally powered linear induction motor[J]. Proceedings of the CSEE, 2011, 31(15): 61-68.
[24] 牟树君, 柴建云, 孙旭东, 等. 分段供电交流直线电机三相互感不对称分析及抑制[J]. 电工技术学报, 2015, 30(1): 81-88.
Mu Shujun, Chai Jianyun, Sun Xudong, et al.Analysis and restrain of mutual inductance asymmetry in the sectionally powered AC linear motor[J]. Transactions of China Electrotechnical Society, 2015, 30(1): 81-88.
[25] 牟树君, 柴建云, 孙旭东, 等. 分段供电交流直线电机中偏置磁通密度的分析及其消除方法[J]. 电工技术学报, 2014, 29(3): 12-20.
Mu Shujun, Chai Jianyun, Sun Xudong, et al.Analysis and elimination of the off-set flux density in the sectionally powered AC linear motors[J]. Transa- ctions of China Electrotechnical Society, 2014, 29(3): 12-20.
[26] 牟树君, 柴建云, 孙旭东, 等. 长初级分段供电变极距直线感应电机的气隙磁场分布及电感参数特性[J]. 清华大学学报: 自然科学版, 2014, 54(9): 1161-1165, 1172.
Mu Shujun, Chai Jianyun, Sun Xudong, et al.Air-gap magnetic field distribution and inductance chara- cteristic in long primary sectional powered variable pole pitch linear induction motor[J]. Journal of Tsinghua University: Science and Technology, 2014, 54(9): 1161-1165, 1172.
[27] 孙兆龙, 马伟明, 鲁军勇, 等. 长初级双边直线感应电动机静态纵向边端效应及阻抗矩阵研究[J]. 中国电机工程学报, 2010, 30(18): 72-77.
Sun Zhaolong, Ma Weiming, Lu Junyong, et al.Research of static longitudinal end effect and impedance matrix for long primary double-sided linear induction motors[J]. Proceedings of the CSEE,2010, 30(18): 72-77.
[28] 上官璇峰, 励庆孚, 袁世鹰. 多段初级永磁直线同步电动机驱动系统整体建模和仿真[J]. 电工技术学报, 2006, 21(3): 52-57.
Shangguan Xuanfeng, Li Qingfu, Yuan Shiying.Integrated modeling and simulation of the systems driven by multi-segment primary permanent linear synchronous motors[J]. Transactions of China Elec- trotechnical Society, 2006, 21(3): 52-57.
[29] 上官璇峰, 励庆孚, 袁世鹰. 多段初级永磁直线同步电机驱动的垂直提升系统[J]. 中国电机工程学报, 2007, 27(18): 7-12.
Shangguan Xuanfeng, Li Qingfu, Yuan Shiying.The vertical hoist system driven by OMLSM with multi- segment primary[J]. Proceedings of the CSEE, 2007, 27(18): 7-12.
[30] 刘凯, 张炳义, 冯桂宏. 基于非对称绕组函数法永磁同步电机偏心电感参数的研究[J]. 电工技术学报, 2020, 35(增刊2): 387-394.
Liu Kai, Zhang Bingyi, Feng Guihong.Research on eccentric inductance of permanent magnet machine based on asymmetrical winding function approach[J]. Transactions of China Electrotechnical Society, 2020, 35(S2): 387-394.