The paper considers the stability of a single-machine infinite bus(SMIB)power system which is disturbed by random fluctuation of a SMIB's mechanic power and power angle. And a stochastic nonlinear model is presented to describe the transient process of the excitation adjustment of SMIB.Based on the Lyapunov stability criterion of a stochastic nonlinear system and a technique,which has been named as Nonlinear Integral Backstepping,to design a stabilizer for such a system,a novel excitation control law is proposed to suppress random disturbance and improve the system's stabilization. The results of simulation show the correctness and validity of the presented excitation controller to suppress the random disturbance.%针对单机无穷大发电系统机械功率与功率角的随机扰动对系统稳定性影响,建立了暂态过程中励磁调节的随机非线性模型,根据随机系统Lyapunov稳定性判据和随机非线性积分反推方法设计励磁控制律,抑制系统的随机扰动以提高系统稳定性.通过数值仿真验证了随机扰动抑制方法的正确性和有效性.
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