小干扰稳定分析中状态矩阵的快速形成

电力系统小干扰稳定分析中形成状态矩阵的计算需求随系统规模扩大而急剧增加。通过分析状态矩阵的形成过程、重组相关算式、引入矩阵降阶求逆等方法,提高计算速度。针对插入式建模技术,将一阶状态传输块、关联矩阵和一阶导数的算式混合;通过进一步的算式变换,形成状态矩阵的最终表达式。矩阵求逆采用分块矩阵降阶求逆的方法,矩阵存储采用三元组技术,处理循环及独立的程序段等采用Open MP技术的并行计算功能。对两个不同规模的算例进行分析比较,验证所提方法的有效性。

Fast Formation of State Matrix in Small Signal Stability Analysis

Computation requirement for forming the state matrix in small signal stability analysis of power systems is rapidly increased with the expansion of system scale. By analyzing the forming process of state matrix, reconstructing the related formulas, introducing reduced-order matrix inversion, and other approaches, improvement in computing speed is achieved in this paper. According to the Plug-in Modeling Technique, the first-order transmission block equation, correlation matrix equation and the first derivative equations are mixed; and the state matrix expression is obtained by further reconstruction and transformation. Partitioning and descending order is used in matrix inversion; triple form is used in matrix storage; parallel computation technique is used in processing cycle and independent program sections. Comparison and analysis on two different scale of power systems shows the effectiveness of proposed method.