TY - JOUR
T1 - Unified calculation of eigen-solutions in power systems based on matrix perturbation theory
AU - Li, Yan
AU - Gao, Wenzhong
AU - Jiang, Jiuchun
AU - Wang, Chenshan
AU - Muljadi, Eduard
N1 - Funding Information:
This work was supported in part by the National Science Foundation of United States (NSF) (Grant No. 0844707) and in part by the International S&T Cooperation Program of China (ISTCP) (Grant No. 2013DFA60930).
PY - 2014/8
Y1 - 2014/8
N2 - Calculation of eigen-solutions plays an important role in the small signal stability analysis of power systems. In this paper, a novel approach based on matrix perturbation theory is proposed for the calculation of eigen-solutions in a perturbed system. Rigorous theoretical analysis is conducted on the solution of distinct, multiple, and close eigen-solutions, respectively, under perturbations of parameters. The computational flowchart of the unified solution of eigen-solutions is then proposed, aimed toward obtaining eigen-solutions of a perturbed system directly with algebraic formulas without solving an eigenvalue problem repeatedly. Finally, the effectiveness of the matrix perturbation based approach for eigen-solutions' calculation in power systems is verified by numerical examples on a two-area four-machine system.
AB - Calculation of eigen-solutions plays an important role in the small signal stability analysis of power systems. In this paper, a novel approach based on matrix perturbation theory is proposed for the calculation of eigen-solutions in a perturbed system. Rigorous theoretical analysis is conducted on the solution of distinct, multiple, and close eigen-solutions, respectively, under perturbations of parameters. The computational flowchart of the unified solution of eigen-solutions is then proposed, aimed toward obtaining eigen-solutions of a perturbed system directly with algebraic formulas without solving an eigenvalue problem repeatedly. Finally, the effectiveness of the matrix perturbation based approach for eigen-solutions' calculation in power systems is verified by numerical examples on a two-area four-machine system.
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U2 - 10.1007/s11431-014-5598-x
DO - 10.1007/s11431-014-5598-x
M3 - Article
AN - SCOPUS:84906786498
SN - 1674-7321
VL - 57
SP - 1594
EP - 1601
JO - Science China Technological Sciences
JF - Science China Technological Sciences
IS - 8
ER -