考虑感应电动机模型的质量偏心单盘转子系统Sommerfeld效应及不平衡响应分析  

Sommerfeld Effect and Unbalanced Response Analysis in Single Disk Rotor System with Eccentric Mass Considering Induction Motor Model

作　　者：孔祥希 牛俊开 罗园庆 许琦 KONG Xiangxi;NIU Junkai;LUO Yuanqing;XU Qi(School of Mechanical Engineering,Shenyang University of Technology,Shenyang 110870;School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819)

机构地区：[1]沈阳工业大学机械工程学院,沈阳110870 [2]东北大学机械工程与自动化学院,沈阳110819

出　　处：《机械工程学报》2020年第17期137-144,共8页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51705337,51675350);中国博士后科学基金(2017M611258)资助项目。

摘　　要：Sommerfeld效应是由于非理想原动机在转子系统临界转速附近无法提供足够的动力而产生的一种非线性跳跃现象。研究了由感应电动机驱动的一个质量偏心单盘转子系统的Sommerfeld效应及不平衡响应。将感应电动机的动力学模型引入到转子系统中,建立了电动机-转子系统动力学模型。在充分考虑电动机与转子系统相互作用的基础上,得到了供电频率与转子转速之间的关系表达式,并进行了稳定性分析。对具有不同质量偏心的电动机-转子系统的不平衡响应进行了分析,并基于Matlab/Simulink进行了仿真验证。结果表明:当转子偏心质量与转子总质量的质量比η<0.026时,电动机能够提供足够动力使转子系统平稳通过临界转速,电动机-转子系统不会出现Sommerfeld效应;当质量比满足0.026<η<0.083时,在转子系统临界转速附近,电动机所提供的最大电磁转矩小于转子系统平稳通过临界转速所需输出转矩,电动机-转子系统出现Sommerfeld效应;当η>0.083时,随着感应电动机供电频率的增加,电动机将无法提供足够的动力使转子系统通过临界转速,转子系统转速将始终低于临界转速。通过研究,可以为转子系统的动力设计与选型提供借鉴。Sommerfeld effect is a nonlinear jumping phenomenon caused by the failure of a non-ideal motor to provide enough power near the critical speed of the system to enable the system to pass through the resonance region smoothly.Sommerfeld effect and unbalanced response of an induction motor driven single disk rotor system with eccentric mass are studied.The dynamic model of induction motor is introduced into the rotor system,and the induction motor rotor dynamic model is established.It is found that Sommerfeld effect will occur in the induction motor-rotor system based on fully considering the interaction between induction motor and rotor system.The influences of the eccentric mass on Sommerfeld effect and unbalanced response are analyzed.The results show that when the mass ratio of eccentric mass to total rotor massηis about less than 0.026,namelyη<0.026,since the motor can provide enough power to ensure the rotor system smoothly pass the critical speed,Sommerfeld effect will not occur in the induction motor-rotor system.When 0.026<η<0.083,since the max electromagnetic torque provided by the motor is less than the output torque required for the rotor system to smoothly pass the critical speed,Sommerfeld effect will occur.Whenη>0.083,with the supply frequency increasing,the induction motor will not provide enough power to make the rotor system pass through the critical speed,and the rotor system’s speed will always be lower than the critical speed.The research can provide reference for the power design and selection of rotor system.

关 键 词：转子系统 感应电动机 Sommerfeld效应 非线性跳跃 

分 类 号：TH113[机械工程—机械设计及理论]