GLOBAL BIFURCATION CAUSED BY UNSTABLE LIMIT-CYCLE LEADING TO VOLTAGE COLLAPSE IN AN ELECTRIC-POWER SYSTEM

Authors
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
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.