Исследование расположения корней характеристического полинома высокой степени
Elektroenergetika 2011 : Proceedings of the 6th International Scientific Symposium on Electrical Power Engineering
2011
Georgi Georgiev,
Inga Zicmane,
Sergejs Kovaļenko
The thesis is a new approach to the large electric power
systems static stability evaluation. The characteristic polynomial
obtained is of high order as a rule. Application of algebraic
criterion in such cases requires cumbersome arithmetic or large
size determinants calculation. This work presents analytical
study of the conditions under which roots of the characteristic
polynomial in the right half of the complex field appear. 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 (High Order Characteristic
Polynomial Roots’ Location Analysis).
Atslēgas vārdi
static stability; conditions of stability; Hurvitz; characteristic polynomial; large electric power system; algebraic criterion; complex network; steady state;
Georgiev, G., Zicmane, I., Kovaļenko, S. Исследование расположения корней характеристического полинома высокой степени. No: Elektroenergetika 2011 : Proceedings of the 6th International Scientific Symposium on Electrical Power Engineering, Slovākija, Stará Lesná, 21.-23. septembris, 2011. Košice: Technical University of Košice, 2011, 77.-80.lpp. ISBN 978-80-553-0724-4.
Publikācijas valoda
Russian (ru)