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。
Aiming at the problem that electromechanical coupling model of a rolling mill main drive system was complex and it was not easy to be established,considering magnetoelectric energy changes in an asynchronous motor,using ac motor electromagnetic torque mechanical properties analysis, and the nonlinear factor of air friction, an electromechanical coupling model of ac motor-rolling mill main drive system was established. By means of the multi-scale method,the existence and stability of the first order approximate periodic solutions of the model under the main parametric resonance were investigated. Bifurcations of the system and regions of its chaotic solutions were found. And the effects of rotor induction current angular frequency on the rolling mill main drive electromechanical coupling system's nonlinear parametric resonance were analyzed with Poincare mapping method. The results showed that the rotor induced current angular frequency is an important factor to cause vibration; when the rotor induced current frequency changes,the motion form of the rolling mill system alters from a chaotic motion to a periodic motion,eventually becomes a chaotic motion; the chaotic motion of the rolling mill system can be effectively avoided with the stable rotor induction motor frequency. The study results provided a new idea for the further study and control of the main drive system of rolling mills.
出处
《振动与冲击》
EI
CSCD
北大核心
2016年第17期1-6,共6页
Journal of Vibration and Shock
基金
河北省自然科学基金资助项目(F2014209192)
华北理工大学杰出青年基金资助项目(JP201301)
河北省教育厅重点资助项目(ZD20131011)
关键词
轧机
主传动系统
机电耦合
转子感应电流
振动
混沌
rolling mill
main drive system
electromechanical coupling
rotor induced current
vibration
chaos