计及时滞影响的广域附加阻尼控制

Wide Area Power System Damping Controller Considering Time-Delay

针对广域测量信号的时滞对系统动态性能的不利影响,提出了一种电力系统广域附加区间阻尼控制器设计的直接迭代方法。由已知的线性矩阵不等式定理,推得一种作为时滞系统渐近稳定性判据的基于状态反馈的矩阵不等式定理。利用变量替换法,将定理中的非线性矩阵不等式转变为线性矩阵不等式,进而将阻尼控制器设计转化为隶属于线性矩阵不等式的锥补问题并进行迭代求解。该方法可直接获得状态反馈控制矩阵,并具有良好的收敛性。测试系统的仿真结果表明,广域附加区间阻尼控制器,具有一定的时滞不敏感性,能够较好地抑制区间振荡。

With respect to negative effects on system dynamic performance induced by time-delay of wide-area measurements,a direct iterative design approach for power system wide-area supplementary inter-area damping controller is proposed.A matrix inequality theorem based on state feedback as a asymptotic stability criterion on time-delay system is deduced from a known linear matrix inequality（LMI） theorem.The non-linear matrix inequality in the theorem is transformed into linear matrix inequality by variable substitution method.Then the damping controller design is converted to a cone complementarity problem subjecting to linear matrix inequalities and solved by iteration.The approach can directly obtain state feedback control matrix and has good convergence.Simulation results of a test system show that the wide-area damping controller is insensitive to time-delay to some degree and can damp inter-area low frequency oscillation very well.