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.