19916

Автор(ов): 

6

Параметры публикации
Тип публикации: 
Статья в журнале/сборнике
Название: 
Gramians method of steady-state stability analysis for large electrical power systems
ISBN/ISSN: 
ISBN: 978-3-902823-24-3
DOI: 
10.3182/20120902-4-FR-2032.00082
Наименование источника: 
IFAC Proceedings Volumes. 8th Power Plant and Power Systems Control Symposium
Обозначение и номер тома: 
Vol. 45. Issue 21
Город: 
Toulouse
Издательство: 
IFAC
Год издания: 
2012
Страницы: 
466-471
Аннотация
This paper provides a new approach to computing infinite and finite time Gramians and cross-Gramians relying on the usage of the Laplacian transformation of matrix exponential time functions and expansion of the product of these functions. The expansions are bilinear and quadratic forms of sequences of the Faddeev matrices generated by resolvents of original matrices. Matrix identities are obtained for bilinear and quadratic forms of these Faddeev sequences. Asymptotic expansions of controllability and observability Gramians of dynamic systems at the proximity of stability limit are found. Illustrative examples are given to demonstrate the perspective of using Gramians for the smallsignal stability analysis of the electric power systems.
Библиографическая ссылка: 
Ахметзянов А.В., Искаков А.Б., Григорьев А.А., Матинян А.М., Ядыкин И.Б., Новицкий Д.А. Gramians method of steady-state stability analysis for large electrical power systems / IFAC Proceedings Volumes. 8th Power Plant and Power Systems Control Symposium. Toulouse: IFAC, 2012. Vol. 45. Issue 21. С. 466-471.