Stability Analysis of Electrical Power System through Characteristic Polynomial Roots Locality

The 7th International Conference "Electrical and Control Technologies (ECT–2012)": Proceedings 2012
Georgi Georgiev, Inga Zicmane, Sergejs Kovaļenko

This paper presents analytical study of the conditions under which the roots of the characteristic polynomial appear in the right complex half-plane. Application of algebraic criterion in such cases requires cumbersome arithmetic or large size determinants calculation. For this purpose preliminary transformation of the polynomial is proposed, which leads to clear results and conclusion for any ratios of polynomial coefficients when static stability is being lost. Designed questions can serve to create new necessary conditions for large power systems stability. Also this paper presents the idea of the foundation of the generalized criterion of the static stability, which can be a new approach to analyze power system stability conditions.

Keywords
static stability; conditions of stability; Hurvitz; characteristic polynomial; large electric power system; algebraic criterion; complex network; steady state

Georgiev, G., Zicmane, I., Kovaļenko, S. Stability Analysis of Electrical Power System through Characteristic Polynomial Roots Locality. In: The 7th International Conference "Electrical and Control Technologies (ECT–2012)": Proceedings, Lithuania, Kaunas, 3-4 May, 2012. Kaunas: Technologija, 2012, pp.147-150. ISSN 1822-5934.

Publication language
English (en)