电工技术学报  2017, Vol. 32 Issue (12): 185-196    DOI:
电机电器 |
高速永磁同步电机线圈与绕组电枢磁场计算方法及其内在联系
于吉坤, 李立毅, 陈启明, 张江鹏, 曹继伟
哈尔滨工业大学电气工程及自动化学院 哈尔滨 150001
Calculation Method and Its Internal Connection of Coil and Winding Armature Magnetic Field in High Speed Permanent Magnet Synchronous Motors
Yu Jikun, Li Liyi, Chen Qiming, Zhang Jiangpeng, Cao Jiwei
School of Electrical Engineering and Automation Harbin Institute of Technology Harbin 150001 China
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摘要 为简化和统一复杂绕组磁场的分析问题,提出一种简易的单匝线圈磁场预测绕组磁场计算方法。基于高速永磁同步电机等效同心圆多层模型和涡流场泊松方程,结合各种介质交界面条件和边界条件,建立了稀疏矩阵形式的单匝线圈电枢磁场的解析方程组。从绕组排布组合形式多样性的特点出发,根据线圈位置和同相线圈连接方式,通过线圈代数化和绕组集合化处理,将线圈和绕组之间的递推关系简化和统一,揭示其关联性。线圈和绕组电枢磁场的解析计算方法和内部关系得到有限元仿真和相关文献计算方法的证实,结果表明了使用单匝线圈磁场研究绕组磁场问题的准确性和可行性。最后基于相关计算方法和内部关系的研究,分析了绕组合成磁场时空谐波的规律。
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于吉坤
李立毅
陈启明
张江鹏
曹继伟
关键词 高速永磁同步电机 电枢磁场 线圈和绕组 分布系数 时空谐波    
Abstract:To simplify and unify the analysis of complex winding magnetic field, one simple and easy method was presented. This method can predict the winding magnetic field from single turn coil magnetic field. Analytical equations of a single turn coil armature magnetic field were established based on the equivalent concentric multilayer model of high speed permanent magnet synchronous motors (PMSM) and Poisson equation of the eddy current field. A variety of medium interfaces and boundary conditions were employed, and the coil armature field equations with sparse matrix were built. According to the coil position and phase winding connection type, each coil was configured with an algebra and was assembled belonging to the same winding from the diversity characteristic of windings arrangement and combination form. Recursion was simplified and unified from coil to winding, and the relationship between them was revealed. The analytical calculation and the internal relation of armature magnetic field between coil and winding were confirmed by the finite element simulation and other calculation method in related literature. It was demonstrated that single turn coil magnetic field could deal with winding magnetic field. Finally, based on relevant calculation method and internal relations of coil and winding, time and space harmonics of winding resultant magnetic field were analyzed.
Key wordsHigh speed permanent magnet synchronous motor    armature field    coil and winding    distribution coefficient    time and space harmonic   
收稿日期: 2015-09-24      出版日期: 2017-06-30
PACS: TM301.4+4  
基金资助:科技重大专项资助项目(2012ZX04001051)
通讯作者: 李立毅 男,1969年生,教授,博士生导师,研究方向为特种电机系统及其控制。E-mail: liliyi.hit@gmail.com   
作者简介: 于吉坤 男,1987年生,博士研究生,研究方向为高速永磁电机理论与设计。E-mail: yjk721@126.com
引用本文:   
于吉坤, 李立毅, 陈启明, 张江鹏, 曹继伟. 高速永磁同步电机线圈与绕组电枢磁场计算方法及其内在联系[J]. 电工技术学报, 2017, 32(12): 185-196. Yu Jikun, Li Liyi, Chen Qiming, Zhang Jiangpeng, Cao Jiwei. Calculation Method and Its Internal Connection of Coil and Winding Armature Magnetic Field in High Speed Permanent Magnet Synchronous Motors. Transactions of China Electrotechnical Society, 2017, 32(12): 185-196.
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https://dgjsxb.ces-transaction.com/CN/Y2017/V32/I12/185