Citation

H. Ohta et Y. Ueda, GLOBAL BIFURCATION CAUSED BY UNSTABLE LIMIT-CYCLE LEADING TO VOLTAGE COLLAPSE IN AN ELECTRIC-POWER SYSTEM, Chaos, solitons and fractals, 9(6), 1998, pp. 825-843

Citations number

10

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical

Journal title

ISSN journal

0960-0779

Volume

9

Issue

6

Year of publication

1998

Pages

825 - 843

Database

ISI

SICI code

0960-0779(1998)9:6<825:GBCBUL>2.0.ZU;2-D

Abstract

It has been reported that a saddle node bifurcation or a blue sky bifu
rcation causes voltage collapse in an electric power system. In these
references, computer simulations are carried out with the voltage magn
itude of the generator bus terminal held constant. The generator model
described by differential equations of internal flux linkages allows
the voltage magnitude of the generator bus terminal to change. By usin
g this model, we have carried out computer simulations of the power sy
stem to determine the possible steady states. A variety of nonlinear p
henomena, including chaotic attractors and coexisting attractors, are
observed. A number of bifurcations, including global bifurcation, are
observed, and the involvement of unstable limit cycles is confirmed. I
t is an unstable period-2 orbit that causes the voltage collapse. This
is very interesting from the point of view of a nonlinear problem. Fr
om the point of view of a power system, the power system will fluctuat
e in practice even in normal operation, and may sometimes operate beyo
nd the limit of its stability in recent year. It is very important in
this situation that we clarify bifurcations of limit cycles and chaoti
c attractors on the power system. (C) 1998 Elsevier Science Ltd. All r
ights reserved.