文章基本信息

标题：Fast calculation of modal interaction in large power systems using spectral decompositions of Gramians ⁎
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作者：Alexey B. Iskakov ; Alexandr V. Lavrikov ; Igor B. Yadykin 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：28
页码：564-569
DOI：10.1016/j.ifacol.2018.11.763
语种：English
出版社：Elsevier
摘要：AbstractThe solutions of Lyapunov and Sylvester equations can be represented as a sum of Hermitian matrices or sub-Gramians corresponding either to individual eigenvalues of the system or their pairwise combinations. The sub-Gramians corresponding to a given part of the spectrum of dynamical system can be used to estimate the modal interaction in this part of the spectrum. In this paper we propose an algorithm for the fast calculation of sub-Gramians for large electric power systems. Our numerical tests demonstrate that the sub-Gramians corresponding to the selected part of the spectrum can be calculated much faster than all sub-Gramians of the system. Therefore, the proposed algorithm can serve as a basis for the fast calculation of modal interactions in large-scale power systems in real time.
关键词：Keywordsfast calculationsmodal interactionelectric power systemslarge-scale systemsLyapunov direct methodsspectral decompositionsGramianssub-Gramiansreal time