交流电机驱动非理想振动系统的Sommerfeld效应

doi:10.12068/j.issn.1005-3026.2023.05.007

东北大学学报（自然科学版） ›› 2023, Vol. 44 ›› Issue (5): 660-666.DOI: 10.12068/j.issn.1005-3026.2023.05.007

交流电机驱动非理想振动系统的Sommerfeld效应

陈晓哲，刘俊岐，钟山，李凌轩

(东北大学秦皇岛分校控制工程学院，河北秦皇岛066004)

发布日期:2023-05-24
通讯作者: 陈晓哲
作者简介:陈晓哲(1986-)，男，辽宁沈阳人，东北大学讲师，博士.
基金资助:
国家自然科学基金资助项目(51905081)；河北省自然科学基金资助项目(E2019501117，E2021501014)；中央高校基本科研业务费专项资金资助项目(N2223028，N2123026).

Sommerfeld Effect of Non-ideal Vibration System Driven by AC Motor

CHEN Xiao-zhe， LIU Jun-qi， ZHONG Shan， LI Ling-xuan

School of Control Engineering， Northeastern University at Qinhuangdao， Qinhuangdao 066004， China.

Published:2023-05-24
Contact: CHEN Xiao-zhe
About author:-
Supported by:
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摘要/Abstract

摘要： 以偏心转子激励单自由度弹簧质量阻尼系统为分析对象，研究该非理想振动系统由交流电机作原动机时的Sommerfeld效应.引入交流电机电磁力矩公式来建立振动系统的动力学模型.基于小参数平均法，获取了振动系统响应的一次近似解.根据该解推导了稳态的电机力矩平衡方程.数值分析发现电机角速度与供电频率在共振区会出现跳跃现象，并且导致系统振幅与供电频率之间的关系曲线存在硬式非线性特征.通过稳定性判别条件解释了上述现象产生的机制，并且应用时域仿真的方法验证了本文所提理论方法的正确性.最后对关键结构参数进行了定量和定性的讨论.

关键词: 非理想振动系统；非线性；跳跃；交流电机；稳定性

Abstract: By taking the spring mass damping system of the single degree of freedom excited by the eccentric rotor as the object， Sommerfeld effect of the non-ideal vibration system driven by the AC motor as the prime motor was studied. The electromagnetic torque formula of the AC motor was introduced to establish the dynamic model of the vibration system driven by the AC motor. Based on the small parameter averaging method， the approximate solution of the vibration system response was obtained. According to the solution， the torque balance equation of the motor in steady-state motion was derived. Numerical analysis illustrated that the angular velocity of the motor and the frequency of power will jump in the resonance region， and the relationship between the amplitude of the system and the frequency of power has hard non-linear characteristics. The mechanism of these phenomena was explained by the stability judgment conditions， and the correctness of the theoretical method was verified by the numerical time domain simulation. Finally， the key structural parameters were discussed quantitatively and qualitatively.

Key words: non-ideal vibration system; non-linearity; jump; AC motor; stability

中图分类号:

TH113.1

陈晓哲，刘俊岐，钟山，李凌轩. 交流电机驱动非理想振动系统的Sommerfeld效应[J]. 东北大学学报（自然科学版）, 2023, 44(5): 660-666.

CHEN Xiao-zhe， LIU Jun-qi， ZHONG Shan， LI Ling-xuan. Sommerfeld Effect of Non-ideal Vibration System Driven by AC Motor[J]. Journal of Northeastern University(Natural Science), 2023, 44(5): 660-666.

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交流电机驱动非理想振动系统的Sommerfeld效应

Sommerfeld Effect of Non-ideal Vibration System Driven by AC Motor

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