Blue sky bifurcations caused by unstable limit cycle leading to voltage collapse in an electric power system.
type: Item
instance of: scholarly article
title: Blue sky bifurcations caused by unstable limit cycle leading to voltage collapse in an electric power system.
zbMATH Open document ID: 1050.34070
DOI: 10.1016/S0960-0779(02)00072-3
author: Hirofumi Ohta
author: Yoshisuke Ueda
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: This paper deals with the study of bifurcations which lead to voltage collapse in an electric power system. The electric power system considered in this paper, is the single-machine infinite-bus system including the load connected to the intermediate point of the transmission line. The load is composed of the induction motor, the constant reactive power load, and the capacitor in parallel with the load. For smaller values of the capacitor, voltage collapse has been identified as a chaotic blue sky bifurcation, which is caused by the unstable limit cycle. The limit cycle generated by a supercritical Hopf bifurcation of a stable equilibrium vanishes with the unstable limit cycle by a cyclic fold bifurcation. For medium values of the capacitor, voltage collapse is caused by this cyclic fold bifurcation. Moreover, a variety of nonlinear phenomena, including chaotic attractors and coexisting limit cycles, is observed.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 2026961
zbMATH Keywords: limit cycles
zbMATH Keywords: chaotic attractor
zbMATH Keywords: bifurcation
zbMATH Keywords: voltage collapse
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Global bifurcation caused by unstable limit cycle leading to voltage collapse in an electric power system
cites work: Towards a theory of voltage collapse in electric power systems
cites work: Multiple coexisting attractors, basin boundaries and basic sets
cites work: Q4040287
full work available at URL: s0960-0779(02)00072-3
OpenAlex ID: W2085551102
description: scientific article; zbMATH DE number 2026961