基于时间加权反馈控制的永磁同步风力发电机混沌振荡研究

研究基于时间加权的反馈控制方法抑制永磁同步风力发电机(PMSG)的混沌行为。以两台PMSGs作为驱动和响应的发电系统,利用相同和不同状态变量间的反馈信息建立不同的动力学方程,分析相同状态变量反馈控制和不同状态变量反馈控制对PMSGs系统混沌振荡行为的影响。发现了相同状态变量反馈控制对PMSGs系统可实现混沌同步行为,而不同状态变量反馈控制对PMSGs系统具有抑制混沌振荡的作用。在周期时间内把这两种反馈控制结合在一起,分析不同时间加权下PMSGs系统的动力学行为,发现时间分数因子和耦合参数的不同取值可使PMSGs系统产生混沌、混沌同步和混沌抑制等动力学行为。数值仿真验证了基于时间加权的反馈控制器对抑制PMSGs系统混沌行为的有效性。研究结果对提高风能利用率,保证电力系统的安全稳定运行具有重要的参考价值。

Chaos control of permenant magnet synchronous generators based-on time-weighted feedback control

In view of that in the conventional studies about the chaos control of wind generators, only the control of a single generator was focused, in the paper, the coupled chaos control of multi generators was introduced, a time-weighted feedback control method with two different control modes was proposed and the control effects by the two modes were compared.Two coupled permenant magnet synchronous generators(PMSGs) were taken as an example in the analysis, the one used as a drive system and the other used as a response system.Two different control modes for the PMSGs chaotic motion control were adopted, the similar variables control and dissimilar variables control, and accordingly, two different dynamic equations were established.Their influential factors on the chaotic behaviors of the PMSGs were investigated.It is found that the two chaotic PMSGs coupled via similar control variables can lead to synchronized chaotic state, while the PMSGs coupled via dissimilar control variables have the reduction capability on the chaotic motions.Further, a control strategy was proposed combining these two control modes in an assigned periodic time and switching between them according to a time weight, expressed as a time fraction factor.The dynamic behariors of the PMSGs system under different coupled parameter C and different time fraction factor fsim were analysed.It is shown that the system may fall into the regions of desynchronized chaos, synchronized chaos and amplitude death because of different C and fsim.The numerical simulation results show that the proposed feedback control strategy is effeetive to restrain the chaotic motions of the PMSGs system.The study results could extend the utilization of wind energy and give a reference to the security and stabilization analysis of complex power systems in design.