基于奇异扰动的永磁风力发电机组双时标控制

摘要

针对永磁风力发电机组电气时间常数与机械时间常数不同时间量级的特点，利用奇异扰动理论将永磁风力发电机组的高阶模型解耦成两个时标下的子系统，实现了对变量的解耦和模型的简化。而后，分别采用基于Lyapunov函数的设计方法和哈密顿能量方法对两个子系统进行控制，再通过组合获得整体控制律，实现了对整个永磁风力发电机组的控制。进一步通过理论证明验证了组合控制律的可行性。最后，仿真结果表明本文提出的控制策略具有较好的准确性和快速性。%Considering the characteristics of the permanent magnet wind turbine that there is the significant difference between machine and electric constants, to decouple the variables and simplify the model, the high-order model of the permanent magnet wind turbine were decoupled into two subsystems with different time scales by employing the singular perturbation method. The control laws of fast and slow subsystems were designed by Lyapunov-based design and Hamiltonian energy method respectively, and the compound control was attained by synthesizing to control the entire permanent magnet wind turbine. Furthermore, the feasibility of the compound control was proved by theoretical proof. Finally, the simulation results showed the control strategy was good at accuracy and rapidity.