Abstract:In order to study the application of different numerical methods in the three- dimensional temperature field calculation of electric machines, a 11kW, 1 500r/min totally enclosed fan-ventilated line-start permanent magnet motor was taken as an example. The three-dimensional temperature field was calculated based on finite element method (FEM), finite formulation method (FFM), and finite volume method (FVM), respectively. With the use of multiple sets of meshes, the three-dimensional temperature field of permanent magnet synchronous machine (PMSM) was calculated by both FFM and FEM, and the results were compared with the same grids. Meanwhile, the computing convergence of FFM with different grids was analyzed. Finally, the differences of temperature field calculation results with FFM, FEM and FVM were compared, and the accuracy of the calculation was verified by a temperature rise test.
佟文明, 孙静阳, 舒圣浪, 朱高嘉. 不同数值方法在自扇冷永磁同步电机三维热分析中的应用[J]. 电工技术学报, 2017, 32(增刊1): 151-159.
Tong Wenming, Sun Jingyang, Shu Shenglang, Zhu Gaojia. Application of Different Numerical Methods in 3D Thermal Analysis for Fan-Ventilated Permanent Magnet Synchronous Machines. Transactions of China Electrotechnical Society, 2017, 32(增刊1): 151-159.
[1] 胡田, 唐任远, 李岩, 等. 永磁风力发电机三维温度场计算及分析[J]. 电工技术学报, 2013, 28(3): 122-126. Hu Tian, Tang Renyuan, Li Yan, et al. Thermal analysis and calculation of permanent magnet wind generators[J]. Transactions of China Electrotechnical Society, 2013, 28(3): 122-126. [2] 丁树业, 郭保成, 冯海军, 等. 变频控制下永磁同步电机温度场分析[J]. 中国电机工程学报, 2014, 34(9): 1368-1375. Ding Shuye, Guo Baocheng, Feng Haijun, et al. Temperature field investigation of permanent magnet synchronous motors controlled by the frequency conversion control system[J]. Proceedings of the CSEE, 2014, 34(9): 1368-1375. [3] 黄允凯, 胡虔生, 朱建国. 顾及旋转铁耗的高速爪极电机三维磁热耦合分析[J]. 电工技术学报, 2010, 25(5): 54-59. Huang Runkai, Hu Qiansheng, Zhu Jianguo. Magneto- thermal analysis of a high-speed claw pole motor considering rotational core loss[J]. Transactions of China Electrotechnical Society, 2010, 25(5): 54-59. [4] 陈益广, 郑军, 魏娟, 等. 舵机用永磁同步电机的设计与温度场分析[J]. 电工技术学报, 2015, 30(14): 94-99. Chen Yiguang, Zheng Jun, Wei Juan, et al. Design of PMSM for actuator and its temperature field analysis [J]. Transactions of China Electrotechnical Society, 2015, 30(14): 94-99. [5] 王晓远, 周晨. 基于PCB绕组的盘式永磁同步电机温度场分析与冷却方式研究[J]. 中国电机工程学报, 2016, 36(11): 3062-3069. Wang Xiaoyuan, Zhou Chen. Thermal analysis and cooling approach design of axial flux permanent magnet synchronous machines with PCB winding[J]. Proceedings of the CSEE, 2016, 36(11): 3062-3069. [6] 李立毅, 张江鹏, 闫海媛, 等. 高功率密度电机三维温度场计算及导热优化研究[J]. 中国电机工程学报, 2016, 36(13): 3642-3650. Li Liyi, Zhang Jiangpeng, Yan Haiyuan, et al. Study on the optimization of thermal conductivity and 3D temperature filed calculation for the high power density motor[J]. Proceedings of the CSEE, 2016, 36(13): 3642-3650. [7] 张凤阁, 杜光辉, 王天煜, 等. 1. 12MW高速永磁电机不同冷却方案的温度场分析[J]. 电工技术学报, 2014, 29(增刊): 66-72. Zhang Fengge, Du Guanghui, Wang Tianyi, et al. Temperature field analysis of 1. 12MW high speed permanent magnet machine with different cooling schemes[J]. Transactions of China Electrotechnical Society, 2014, 29(S): 66-72. [8] 佟文明, 程雪斌, 孙静阳, 等. 转子风刺对高速永磁电机永磁体温升的抑制作用[J]. 中国电机工程学报, 2017, 37(5): 1526-1535. Tong Wenming, Cheng Xuebin, Sun Jingyang, et al. Suppression effect of rotor wafters on permanent magnet temperature rise for high-speed permanent magnet motor[J]. Proceedings of the CSEE, 2017, 37(5): 1526-1535. [9] 丁树业, 王海涛, 邓艳秋, 等. 异步驱动电机流体流动特性数值研究[J]. 中国电机工程学报, 2016, 36(4): 1127-1133. Ding Shuye, Wang Haitao, Deng Yanqiu, et al. Numerical investigation of fluid flow characteristics for asynchronous driving motor[J]. Proceedings of the CSEE, 2016, 36(4): 1127-1133. [10] 严登俊, 朱长江, 李伟. 有限公式电磁场数值计算理论与性能[J]. 电机与控制学报, 2007, 11(1): 12-16. Yan Dengjun, Zhu Changjiang, Li Wei. Theroy and performance of finite formulation method for electromagnetic field numerical calculation[J]. Electric Machines and control, 2007, 11(1): 12-16. [11] 严登俊, 刘瑞芳, 朱长江. 电机电磁场的有限公式计算技术[J]. 中国电机工程学报, 2008, 28(6): 110-115. Yan Dengjun, Liu Ruifang, Zhu Changjiang. Calculaton technology of finite formulation for electromagnetic field in electrical machine[J]. Proceedings of the CSEE, 2008, 28(6): 110-115. [12] 严登俊, 刘瑞芳, 李伟. 有限公式法二维涡流场计算技术及其在电机集肤效应计算中的应用[J]. 中国电机工程学报, 2008, 28(9): 133-138. Yan Dengjun, Liu Ruifang, Li Wei. Finite formulation computation technology for 2D eddy current field and application for skin effect in squirrel cage motor[J]. Proceedings of the CSEE, 2008, 28(9): 133-138. [13] Alotto P, Freschi F, Repetto M. Multiphysics problems via the cell method: the role of Tonti diagrams[J]. IEEE Transactions on Magnetics, 2010, 46(8): 2959-2962. [14] Trevisan F. 3-D eddy current analysis with the cell method for NDE problem[J]. IEEE Transactions on Magnetics, 2004, 40(2): 1314-1317. [15] Bullo M, Dughiero F, Guarnieri M, et al. Nonlinear coupled thermo-electromagnetic problems with the cell method[J]. IEEE Transactions on Magnetics, 2006, 42(4): 991-994. [16] Bullo M, D'Ambrosio V, Dughiero F, et al. A 3-D cell method formulation for coupled electric and thermal problems[J]. IEEE Transactions on Magnetics, 2007, 43(4): 1197-1200. [17] Tonti E. Finite formulation of electromagnetic field [J]. IEEE Transactions on Magnetics, 2002, 38(2): 333-336. [18] 王福军. 计算流体动力学分析[M]. 北京: 清华大学出版社, 2004. [19] 丁树业, 孙兆琼. 永磁风力发电机流场与温度场耦合分析[J]. 电工技术学报, 2012, 27(11): 118-123. Ding Shuye, Sun Zhaoqiong. Investigation of fluid field and thermal field coupled for permanent magnet wind generator[J]. Transactions of China Elec- trotechnical Society, 2012, 27(11): 118-123. [20] 魏永田, 孟大伟, 温嘉斌. 电机内热交换[M]. 北京:机械工业出版社, 1998. [21] 佟文明, 朱晓锋, 贾建国, 等. 时间谐波对永磁同步电机损耗的影响规律[J]. 电工技术学报, 2015, 30(6): 60-69. Tong Wenming, Zhu Xiaofeng, Jia Jianguo, et al. Influence law of additional losses induced by time harmonic in permanent magnet synchronous motors [J]. Transactions of China Electrotechnical Society, 2015, 30(6): 60-69. [22] 佟文明, 朱晓锋, 朱龙飞, 等. 不同供电方式对非晶合金永磁同步电机铁耗的影响[J]. 电工技术学报, 2015, 30(10): 115-122. Tong Wenming, Zhu Xiaofeng, Zhu Longfei, et al. Study on the impact of different supply modes on core losses of amorphous alloy permanent magnet synchronous motor[J]. Transactions of China Elec- trotechnical Society, 2015, 30(10): 115-122.