Unstable limit cycles in an electric power system and basin boundary of voltage collapse

Authors
Citation
H. Ohta et Y. Ueda, Unstable limit cycles in an electric power system and basin boundary of voltage collapse, CHAOS SOL F, 12(1), 2001, pp. 159-172
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
0960-0779 → ACNP
Volume
12
Issue
1
Year of publication
2001
Pages
159 - 172
Database
ISI
SICI code
0960-0779(200101)12:1<159:ULCIAE>2.0.ZU;2-4
Abstract
It has been reported that a saddle node bifurcation or a blue sky bifurcati on causes voltage collapse in an electric power system. In these references , computer simulations are carried out with the voltage magnitude of the ge nerator bus terminal held constant. The generator model described by differ ential equations of internal flux linkages allows the voltage magnitude of the generator bus terminal to change. By using this model, we have carried out computer simulations of the power system to determine the cause of volt age collapse. It is a cyclic fold bifurcation of the stable limit cycle cau sed by an unstable limit cycle that leads to the voltage collapse. The invo lvement of complicated sequences of unstable limit cycles with cyclic fold bifurcations is confirmed, and the voltage collapse which is caused by pert urbation for steady states is related to these unstable limit cycles. This is very interesting from the point of view of a nonlinear problem. From the point of view of a power system, the power system will fluctuate in practi ce even in normal operation, and may sometimes operate beyond the limit of its stability in recent year. It is very important in this situation that w e clarify bifurcations of limit cycles on the power system. (C) 2000 Publis hed by Elsevier Science Ltd. All rights reserved.