基于转子感应电流影响的轧机主传动机电耦合系统参激振动机理研究

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摘要针对交流传动机电耦合模型往往忽略转子磁电转化问题，考虑交流电机转子复杂多变的磁电转化，根据交流电机电磁转矩机械特性，并引入交流电机内部空气摩擦阻力这一非线性因素，建立交流异步电机-轧机主传动系统机电耦合模型。采用多尺度法求解该机电耦合模型在主参数共振情况下的近似解，并利用数值方法研究了定常解的稳定性，同时用Poinacre映射方法分析了转子感应电流频率对于轧机主传动机电耦合系统非线性参数共振的影响。研究结果表明转子感应电流频率是导致系统振动的一个重要因素，当转子感应电流频率变化时，轧机系统的运动形式从混沌运动到周期运动交替变化，最终变为混沌运动。给出了从生产工艺的角度利用变频技术稳定转子感应电机的频率可以有效的避免轧机的混沌运动，为进一步研究、控制轧机主传动系统提供了新思路。

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	张瑞成
	卓丛林

关键词 ：轧机 , 主传动系统 , 机电耦合 , 转子感应电流 , 振动 , 混沌

Abstract：

Aimed at the problem that electromechanical coupling model of the rolling mill main drive system is complex and it is not easy to be established, Considering the magnetoelectric energy change in the asynchronous motor, using ac motor electromagnetic torque mechanical properties analysis, and the nonlinear factors of air friction, a electromechanical coupling model of ac motor-rolling mill main drive system is established. By means of a multiple-scales method，the existence and stability of periodic solutions for a first order approximation close to the main parametric resonance are investigated. Bifurcations of the system and regions of chaotic solutions are found. And the impacts of the rotor induction current angular frequency on the rolling mill electromechanical coupling nonlinear parametric excitation resonance are analyzed by the Poincare mapping method．Phase plan, poincare section and the maximum Lyapunov index. The results show that rotor induced current angular frequency is an important factor lead to vibration. When the rotor induced current frequency changes, the rolling mill system forms of exercise from the chaotic motion to a periodic motion variations, eventually become chaotic motion. A conclusion can be given that the chaotic motion of the rolling mill system can be effectively avoided by stable rotor induction motor frequency. The research results provided new ideas for the further research and control of the main drive system of the rolling mill.

Key words： rolling mill main drive system electromechanical coupling The rotor induced current vibration chaos

收稿日期: 2015-06-09 出版日期: 2016-08-25

引用本文:

张瑞成，卓丛林. 基于转子感应电流影响的轧机主传动机电耦合系统参激振动机理研究[J]. 振动与冲击, 2016, 35(17): 1-6.
Zhang Ruicheng，Zhuo Conglin. Study on parametrically excited vibration for the electromechanical coupling system of the rolling mill main drive based on the rotor induction current influence. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(17): 1-6.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I17/1

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