基于SOD-IRK的大规模时滞电力系统特征值计算方法

SOD-IRK Based Eigenvalue Computation Methods for Large-scale Time Delayed Power System

为了分析考虑广域阻尼控制回路中的通信时滞影响后大规模电力系统的小干扰稳定性,提出了一类基于解算子隐式龙格—库塔离散化(SOD-IRK)的特征值计算方法。首先,将时滞电力系统的谱问题转化为解算子的谱问题。其次,利用多种隐式龙格—库塔(IRK)方法对解算子进行离散化,从而将解算子的谱问题近似为其离散化矩阵的谱问题;最后,充分利用系统增广状态矩阵和解算子离散化矩阵的稀疏特性,高效地计算大规模时滞电力系统阻尼比最小的部分关键特征值。16机68节点算例系统和华北—华中特高压互联电网的计算结果表明了所提方法的准确性和有效性。

To analyze the small signal stability of large-scale power system considering the communication delay involved in wide-area damping control circuit,a class of solution operator discretization methods with implicit Runge-Kutta(SOD-IRK)are proposed for computing eigenvalues of the system.Firstly,the spectrum of time delayed power system is transformed into the spectrum of the solution operator associated with the system.Secondly,the operator is discretized by various implicit Runge-Kutta(IRK)methods and its spectrum is approximated by those of the discretized matrices to the solution operator.Finally,the eigenvalues with the smallest damping ratios of the time delayed power system can be efficiently computed by fully utilizing the sparsity in the augmented system state matrices and the solution operator’s discretized matrices.The accuracy and effectiveness of the presented SOD-IRK methods are validated on the 16-generator 68-bus test system and the ultra-high-voltage North China-Central China interconnected power grid.