发电机的非线性自适应逆推综合控制

Integrated nonlinear adaptive backstepping controller for synchronous generator

发电机励磁和汽门系统是一个典型的多变量、非线性、强耦合、不确定复杂系统,其综合控制将会改善电力系统稳定性和动态品质,所以设计简单、有效的综合控制器既必要又困难.针对单机无穷大励磁与汽门系统,运用自适应逆推方法和系统的Lyapunov函数,获得了发电机的非线性综合控制器和参数替换律,文中给出了该控制器的具体设计步骤.由于在控制器设计中没有运用任何线性化方法,因而所得控制器充分利用了系统的非线性特性;同时考虑了发电机阻尼系数的不确定性,使得控制器对系统参数的变化具有很强的鲁棒性.数字仿真结果表明,所设计的控制器具有鲁棒性,并可有效地提高电力系统的稳定性.

Integrated control of power system may improve its dynamic performance and stability, but a large turbogenerator with the integrated control of excitation and steam valve opening is a typical multivariable nonlinear and strongly coupled and uncertain system, so it is necessary and difficult to design the simple and effective integrated controller. For a single-machine infinite-bus system, a nonlinear robust integrated controller and a parameter-update law are obtained based on adaptive backstepping methods and Lyapunov functions of the system. In this paper, a design procedure of the controller is given in detail. Since the controller design is based completely on the nonlinear dynamic system without any lineafization, the nonlinear property of the dynamic system is well preserved and utilized. The controller also has strong robustness for system parameters variation because damping coefficient uncertainty has been considered. The numerical simulation shows that the proposed control law has robustness and may realize coordinative control of excitation and valve opening, and improve power system stability.