Analytical Calculation of Rotor Bar Current Distribution in Starting Condition of Cage Solid-Rotor Machine Considering the Effect of Eddy Current in Solid-Rotor
Zheng Yinzhao, Zhou Libing, Wang Jin
State Key Laboratory of Advanced Electromagnetic Engineering and TechnologySchool of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan 430074 China
Abstract:The induced current of solid-rotor and rotor bar of cage solid-rotor induction machine coupled with each other. Especially during the start-up process of two-pole machine, the current density of rotor bar shows an asymmetric U-shaped distribution due to the current of solid-rotor, decreasing first and then increasing from the top to the bottom of the slot. The traditional calculation method leads to large calculation error, affecting the accuracy of machine design. In this paper, a two-dimensional multilayer electromagnetic field analysis model that considered the effects of magnetic field saturation is established to solve the magnetic field distribution under starting condition. On this basis, considering the influence of the induced current of the rotor core yoke, an analytical calculation model was established to solve the current density distribution of rotor bar during the starting operation. Finally, by comparing with the finite element simulation, the accuracy of the calculation of the current density distribution was verified when the machine was started at different voltages. The proposed analytical calculation method is applicable to cage solid-rotor induction machines with different pole-pairs and provides a reference for accurate calculation of starting parameters and performance of the machine.
郑印钊, 周理兵, 王晋. 考虑实心体涡流影响的笼型实心转子电机起动工况导条电流分布的解析计算[J]. 电工技术学报, 2021, 36(11): 2355-2364.
Zheng Yinzhao, Zhou Libing, Wang Jin. Analytical Calculation of Rotor Bar Current Distribution in Starting Condition of Cage Solid-Rotor Machine Considering the Effect of Eddy Current in Solid-Rotor. Transactions of China Electrotechnical Society, 2021, 36(11): 2355-2364.
[1] 崔旭,司纪凯,封海潮, 等.大小极环形绕组实心转子感应电机工作机理及电磁特性分析[J].电工技术学报,2019,34(9):1850-1856. Cui Xu, Si Jikai, Feng Haichao, et al.Operating principle and electromagnetic characteristic analysis for large-small pole solid-rotor induction motor with toroidal windings[J]. Transactions of China Electrotechnical Society,2019,34(9):1850-1856. [2] 李伟力,曹君慈,丁树业, 等. 复合笼型转子感应电动机起动性能的数值计算[J]. 电工技术学报, 2004, 19(7): 26-31. Li Weili, Cao Junci, Ding Shuye, et al.Numerical calculation of starting performance of the induction motor with compound cage rotor[J]. Transactions of China Electrotechnical Society, 2004, 19(7): 26-31. [3] 凌在汛,周理兵,张毅, 等.笼型实心转子屏蔽感应电机电磁场及参数研究(一):等效电路及其参数分析[J].电工技术学报,2018,33(15):3518-3526. Ling Zaixun, Zhou Libing, Zhang Yi, et al.Parameters determination and electromagnetic field analysis of canned solid-rotor induction motor (1): an overview of motor'sequivalent circuit and its parameter analysis methods[J]. Transactions of China Electrotechnical Society, 2018,33(15):3518-3526. [4] Bir O, Bohm P, Preis K, et al.Edge finite element analysis of transient skin effect problems[J]. IEEE Transactions on Magnetics, 2000, 36(4): 835-839. [5] Yang Rui, Zhou Libing, Wang Jin, et al, et al. Performance calculation for a canned solid-rotor induction motor with squirrel-cage[C]//International Conference on Electrical Machines and Systems,Sydney, 2017:1-5 [6] 凌在汛,周理兵,张毅, 等.笼型实心转子屏蔽感应电机电磁场及参数研究(三):实用等效电路及其参数的推导[J].电工技术学报,2018,33(19):4496-4507. Ling Zaixun, Zhou Libing, Zhang Yi, et al.Parameters determination and electromagnetic field analysis of canned solid-rotor induction motor(3): practical equivalent circuit and its parameter analysis[J]. Transactions of China Electrotechnical Society, 2018,33(19):4496-4507. [7] 陈世坤. 电机设计[M].北京: 机械工业出版社, 1990. [8] Boglietti A, Cavagnino A, Lazzari M.Computational algorithms for induction motor equivalent circuit parameter determination—part II: skin effect and magnetizing characteristics[J]. IEEE Transactions on Industrial Electronics, 2011, 58(9): 3734-3740. [9] 吴新振, 王祥珩. 异步电机双笼转子导条趋肤效应的计算[J]. 中国电机工程学报, 2003, 23(3):116-120. Wu Xinzhen, Wang Xiangheng.Calculation of skin effect for double-cage rotor bar of the induction machine[J]. Proceedings of the CSEE, 2003, 23(3):116-120. [10] YangTong, Zhou Libing, Wei Jiang. Calculation of eddy current losses in a solid-rotor cage induction motor by finite element analysis[C]//International Conference on Electrical Machines and Systems, Wuhan, 2008:3656-3659. [11] 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趋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. [12] 杨瑞. 笼型实心转子屏蔽电机起动参数及特性计算[D].武汉:华中科技大学, 2018. [13] 黄加明. 深槽式双笼型异步电动机启动性能改善的机理研究[J].电气传动自动化,2016,38(2):38-40. Huang Jiaming.Research on the mechanism of improving the startup performance to the deep grooves on double cage asynchronous motors[J]. Electric Drive Automation, 2016, 38(2):38-40. [14] 唐孝镐, 宁玉泉, 傅丰礼. 实心转子异步电机及其应用[M]. 北京: 机械工业出版社, 1991 [15] 黄子果,王善铭,孙宇光,等. 开槽实心转子电机的等效电路参数计算与性能分析[J]. 中国电机工程学报, 2017, 37(4): 1208-1215. Huang Ziguo, Wang Shanming, SunYuguang, et al. Equivalent-circuit parameter calculations and performance analysis of slit solid rotor asynchronous machines[J]. Proceedings of the CSEE, 2017, 37(4):1208-1215. [16] 凌在汛, 周理兵, 张毅, 等. 笼型实心转子屏蔽感应电机电磁场及参数研究(二):二维多层电磁场模型及其解析计算[J]. 电工技术学报, 2018, 33(17): 4016-4028. Ling Zaixun, Zhou Libing, Zhang Yi, et al.Parameters determination and electromagnetic field analysis of canned solid-rotor induction motor(2): 2D-multilayer electromagnetic model and its analytical calculation[J]. Transactions of China Electrotechnical Society, 2018, 33(17): 4016-4028. [17] 凌在汛,周理兵,张毅, 等.笼型实心转子屏蔽感应电机电磁场及参数研究(四):等效电路参数有限元计算法及验证[J].电工技术学报,2018,33(21):4987-4997. Ling Zaixun, Zhou Libing, Zhang Yi, et al.Parameters determination and electromagnetic field analysis of canned solid-rotor induction motor (4): equivalent parameters calculation by finite element method and its verificatio[J]. Transactions of China electrote-chnical Society, 2018,33(21):4987-4997. [18] 张国权, 徐月朗. 开关电源中线圈的邻近效应研究[J].中国高新技术企业, 2010(4): 911. Zhang Guoquan, Xu Yuelang.Research on proximity effect of coil in switching power supply[J]. China Hi-Tech Enterprises, 2010(4): 9-11.