电力系统有限时间稳定控制策略

Finite time stability control strategy for power system

电力系统是典型的非线性系统,当电力系统遭受周期性负荷扰动时,只要周期性负荷的幅值满足一定条件,就可能诱发混沌振荡.电力系统中的混沌振荡可能导致电压崩溃,严重危害系统的稳定与运行安全.鉴于此,针对四阶电力系统,基于有限时间稳定原理,设计一种反馈控制器,对系统发生的混沌进行控制.数值仿真分析表明,所设计的控制器能够有效地对电力系统发生的混沌进行控制,并且对外在干扰和系统参数具有很强的鲁棒性,当减小所设计的控制律中的指数参数,或者增大其余任意控制律参数时,系统恢复到目标平衡态所需的时间都将减少.

A power system is a typical nonlinear system. When the power system is subjected to periodic load disturbance,it is possible to induce chaotic oscillation as long as the amplitude of periodic load satisfies certain conditions. Chaotic oscillation in the power system may lead to voltage collapse, which seriously affects the stability and operation safety of the power system. In this paper, a feedback controller is designed for the fourth-order power system based on the theory of finite time stability. The numerical simulation results show that the controller proposed can effectively supress the chaos in the power system and has strong robustness to external disturbances and system parameters. When the exponential parameter of the designed control law is reduced, or any other control law parameters are increased, the time required for the system to recover to the target equilibrium state will be reduced.