分数阶永磁同步风力发电机中混沌运动的自适应同步控制

针对永磁同步风力发电机系统,推导出系统在阻尼条件下的数学模型,并验证了在某些参数与工作条件下系统会出现非常复杂的混沌运动或极限环.基于非线性分数阶系统的Lyapunov稳定性理论,提出了一种自适应同步控制方法.运用Multisim软件设计实现了控制系统的混沌电路,仿真结果验证了理论分析的正确性与控制方法的有效性,对研究优良的控制方法提供了理论参考.永磁同步发电机由无规则的运动转变为稳定的运动,提高了电力系统的稳定性.

Adaptive Synchronization Control of Chaotic Motion in Fractional Order Permanent Magnet Synchronous Wind Generators

Suited to the system of permanent magnet synchronous generator（D-PMSG）,the mathematical model in damping condition is deduced and a phenomenon is also verified that chaotic move or limit cycle will emerge in certain working conditions and the participation of some parameters.Beside,based on the quasi-Lyapunov stability theory for fractional-order systems,the method of adaptive synchronous control is presented.In addition,by using the chaotic circuit in control system which is attained with the help of software called Multisim,simulation results confirm the correctness of the theoretical analysis and validity of the controlling method.Besides,the research results will be provided as theoretical references for the study of improving control performance.D-PMSG can be converted from irregular movement into stability,so as to improve the stability of the Power system.