CAJ | 학술논문

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OpenMP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。
전력계통소간우은정분석중형성상태구진적계산수구수계통규모확대이급극증가。통과분석상태구진적형성과정、중조상관산식、인입구진강계구역등방법，제고계산속도。침대삽입식건모기술，장일계상태전수괴、관련구진화일계도수적산식혼합；통과진일보적산식변환，형성상태구진적최종표체식。구진구역채용분괴구진강계구역적방법，구진존저채용삼원조기술，처리순배급독립적정서단등채용OpenMP기술적병행계산공능。대량개불동규모적산례진행분석비교，험증소제방법적유효성。
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, and introducing reduced-order matrix inversion, finally, the computing speed is improved in this paper.According to the plug-in modeling technique, the first-order transmission block equation, correlation matrix e-quation and the first derivative equations are mixed, and the state matrix expression is obtained by further reconstruc-tion and transformation.Partitioning and descending order is used in matrix inversion, triple form technique is used in matrix storage, and the parallel computation technique is used in processing cycle and independent program sections. Comparison and analysis on two different scales of calculating examples shows the effectiveness of proposed method.