两相无槽圆筒型永磁同步直线电机电感计算与分析  

Inductance Analysis of Two-Phase Slotless Tubular Permanent Magnet Synchronous Linear Motor

作　　者：张春雷[1,2] 张辉[1,2] 叶佩青[1,2] 张鲁宏[1,2] Zhang Chunlei;Zhang Hui;Ye Peiqing;Zhang Luhong(Department of Mechanical Engineering Tsinghua University,Beijing 100084 China;Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control Tsinghua University,Beijing 100084 China)

机构地区：[1]清华大学机械工程系,北京100084 [2]清华大学精密超精密制造设备与控制北京市重点实验室,北京100084

出　　处：《电工技术学报》2021年第6期1159-1168,共10页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(51875312)。

摘　　要：在电机行程范围内,两相无槽圆筒型永磁同步直线电机的电感会受到电机绕组断开与耦合长度变化的影响,使其变化复杂,无传感控制算法难以实现。因此,需要对该电机电感进行精确的建模。该文基于轴向磁动势函数与轴向比磁导函数分别推导得到该电机在全耦合状态下和全行程范围内电感解析模型。在此基础上,利用有限元数值计算法对电感模型进行参数计算与验证分析,并总结电机全耦合状态下电感的特征,给出耦合长度变化对于电感直流分量与2次谐波幅值的影响规律。最后,对比了样机电感的实验测量值与模型计算值。结果表明,两者之间误差仅为0.04mH,证明了电感模型的正确性。The inductances of two-phase slotless tubular permanent magnet synchronous linear motor(TPMSLM)are affected by the disconnection of windings and the change of coupling length.This makes the inductance change complicated and difficult to implement sensorless control.Therefore,the inductance of TPMSLM needs to be accurately modeled.Firstly,the axial magnetomotive force function and the axial specific permeance function were utilized to derive the analytical model in the fully coupled state.Then the domain of the axial specific permeance function was extended and the inductance expression in the whole moving range was calculated.The expression was verified by finite element method.And the characteristics of the inductance and the influence of the coupling length were analyzed.Finally,the inductance of a prototype was measured and compared with the analytical result.The maximum error between the two results is 0.04mH,which proves the correctness of the analytical model.

关 键 词：永磁同步直线电机 电感 磁动势 比磁导 有限元法 

分 类 号：TM359.4[电气工程—电机]