电力系统混沌振荡的自适应最优控制

电力系统在周期性负荷扰动的作用下会发生混沌振荡,甚至由此而失去稳定。为抑制这种情况下的混沌振荡,保证电力系统运行的稳定性,利用自适应最优控制方法设计了在周期性负荷扰动幅值不确定以及系统参数不确定情况下的混沌振荡控制器;并利用Lyapunov稳定性理论证明了受扰的、未精确建模的电力系统在该控制器作用下可以保持渐近稳定。因此,当电力系统所受到的周期性负荷扰动的幅值不确定且引起电力系统混沌振荡甚至失去稳定时,自适应最优控制器可以使电力系统获得渐近稳定,即能回到初始平衡点上。数值仿真也表明了该控制器的控制效果。

Adaptive and optimal control of chaotic oscillation of electric power system

The power system is likely to have chaotic oscillation or unstability under stronger periodic load perturbation.Adaptive and optimal controller has been designed to restrain chaotic oscillation when the amplitude of the periodic load perturbation and the parameters of the power system are uncertain.Lyapunov stability theory is used to prove that this control method helps the electric system to realize asymptotical stability. The performance of the controller has been tested by numerical simulation.It is concluded that such a controller can drive chaotic or unstable trajectory of power system under stronger periodic load perturbation to the initial position,i.e.,the controller can restrain chaotic oscillation and make power system get asymptotic stability.