汽轮机/调速器系统的时滞无关分散控制器的设计

摘要

To the problem of a class of interconnected large-scale power systems,which has characteristics of nonlinear interconnection function and variable time-delay,the design method of decentralized feedback controller is presented.First,the nonlinear function is converted into quadratically bounded inequalities in the subsystem state.Then based on Lyapunov stability theory,the matrix Schur complement formula and linear matrix inequalities（LMIs）,the delay-independent sufficient condition for asymptotic stability of power systems is given by constructing Lyapunov function.What＇s more,the sufficient condition for constant time-delay is given as a special case.In addition,the simulation of a two-machine infinite bus power system has been done here.The simulation results of this power system show that the proposed method is feasible and valid.%针对具有非线性关联作用和时变时滞的一类关联电力大系统,对其进行分散反馈控制。首先把非线性函数变化成子系统状态变量的二次有界不等式形式,然后基于Lyapunov稳定性理论,利用矩阵的Schur补定理及线性矩阵不等式方法,通过构造适当的Lyapunov泛函,得到了使电力系统渐近稳定的时滞无关的充分条件,并作为特例,给出了常数时滞时的充分条件。并以两机无穷大母线系统为例进行了仿真分析,仿真结果表明该方法可行、有效。