研究具有汽门控制和阻尼系数不确定的单机无穷大系统的暂态稳定性问题.通过引入切换机制,解决了输入控制量幅值约束问题.基于主汽门控制和快速汽门控制思想,建立了一个由汽门控制的单机无穷大汽轮发电机切换系统模型.应用本文提出的改进自适应Backstepping方法设计了切换子系统的非线性自适应控制器和参数替换律,同时构造出切换系统的共同Lyapunov函数,从而保证了切换系统的稳定性.由于设计过程中,未用到任何线性化方法,因而所得控制器充分利用了系统的非线性特性.仿真结果表明了设计方法的有效性和优越性.
We consider the transient stability of a single-machine-infinite-bus system with damping coefficient uncertainties in the turbine steam valve control. The control input constraints are solved by introducing a switched mechanism, the model of which is developed based on the concept of main steam-valve control and the fast-steam-valve control. The nonlinear adaptive controllers and parameter updating laws of the subsystems are also obtained simultaneously using the proposed modified adaptive Backstepping method. Furthermore, a common Lyapunov function of the switched system is constructed to guarantee the stability of the switched system. Since the controller design is based completely on the nonlinear dynamic system without any linearization, the nonlinear property of the dynamic system is well preserved. Finally, the simulation results demonstrate the effectiveness and advantages of the proposed control method.