电力系统混沌振荡的自适应Backstepping控制

Chaotic oscillation control of electric power system based on adaptive backstepping

电力系统在周期性负荷扰动的作用下会发生混沌振荡,甚至失去稳定。为抑制这种混沌振荡,利用Bs(Backstepping)控制法设计了在周期性负荷扰动幅值已知情况下的控制器;对扰动幅值未知的情况,设计了自适应Bs控制器,并利用Lyapunov稳定性理论证明了含该控制器的闭环系统可以保持渐近稳定,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。

Electric power system is likely to emerge chaotic oscillation or instability under stronger periodic load perturbation.Backstepping controller has been designed to restrain chaotic oscillation when the magnitude of the periodic load perturbation is certain.Adaptive backstepping controller has been designed to restrain chaotic oscillation when the magnitude of the periodic load perturba-tion is uncertain,it is proved by Lyapunov stability theory that the controlled system with which can obtain asymptotical stability.The performance of the controlle r has been evaluated by numeri-cal simulation.It is concluded that such a controller can drive chaotic or unstable trajectory of powe r system under stronger periodic load perturbation to the initial position,i.e.,the controller can restrain chaotic oscillation and make power system obtain asymptotical stability.The project is supported by Natural Science Research Project Foundation of higher education of Jiangsu prounce(03KJB470035)and Foundation of Science Research Development of Nanjing Uni-versity of Science and Technology.