同步坐标系下异步感应电机外转子弹性振动分析  

Elastic vibration analysis of external rotor in an asynchronous induction motor under a synchronous coordinate system

作　　者：王世宇[1,2] 夏营 孙文嘉[1] 王尧尧[3] WANG Shiyu;XIA Ying;SUN Wenjia;WANG Yaoyao(School of Mechanical Engineering,Tianjin University,Tianjin 300072,China;Tianjin Key Lab of Nonlinear Dynamics and Control,Tianjin 300072,China;Shanghai Aerospace Control Technology Institute,Shanghai 201109,China)

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津市非线性动力学与控制重点实验室,天津300072 [3]上海航天控制技术研究所,上海201109

出　　处：《振动与冲击》2018年第7期8-12,37,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(51675368;51175370);天津市应用基础与前沿技术研究计划重点项目(13JCZDJC34300);天津市应用基础与前沿技术研究计划资助项目(14JCYBJC18800)

摘　　要：针对旋转磁载荷造成的外转子异步感应电机的弹性振动问题,通过建立与旋转磁载荷转速一致的同步坐标系消除了参数时变性的影响。依Hamilton原理建立了外转子时不变横向振动动力学模型,并运用经典振动理论分析了基本机电参数对系统稳定性的影响,还给出了解析形式的不稳定边界,经坐标变换建立了惯性坐标系下外转子的参激动力学模型。应用Floquét理论计算了系统的发散和颤振不稳定域,并利用Runge-Kutta方法求解响应,结果表明两种动力学模型的结果一致,验证了磁场同步坐标系建模方法及动力稳定性计算结果的正确性。Aiming at elastic vibration problems of external rotor in an asynchronous induction motor due to rotating magnetic load,a synchronous coordinate system rotating at the same speed as that of the magnetic load was employed to remove influences of time-variant parameters.A time-invariant transverse vibration model of the external rotor was established with Hamilton principle.It was solved by using the classical vibration theory.Effects of the motor’s basic mechanical-electrical parameters on the system’s vibration stability were analyzed and the unstable boundary with a closed-form was also derived.A coordinate conversion was used to build the external rotor’s parametrically-excited dynamic model under a conventional inertial coordinate system.The system’s divergence and flutter unstable regions were calculated with Floquet theory.The system’s responses were solved using Runge-Kutta method.It was shown that the results obtained with the two dynamic models agree well,the correctness of the modeling method with a synchronous coordinate system and the dynamic stability calculation results is verified.

关 键 词：异步感应电机 外转子 同步坐标系 弾性振动 

分 类 号：TM306[电气工程—电机]