Please use this identifier to cite or link to this item:
Title: Dynamical behavior and singularities of a single-machine infinite-bus power system
Authors: Wang, JL
Mei, SW
Lu, Q
Teo, KL
Keywords: Hopf bifurcation
Power system stability
Saddle-node bifurcation
Singular perturbation
Singularity induced bifurcation
Stability region
Issue Date: 2004
Source: Acta mathematicae applicatae sinica, 2004, v. 20, no. 3, p. 457-476 How to cite?
Journal: Acta Mathematicae Applicatae Sinica 
Abstract: This paper uses the geometric singular perturbation theory to investigate dynamical behaviors and singularities in a fundamental power system presented in a single-machine infinite-bus formulation. The power system can be approximated by two simplified systems S and F, which correspond respectively to slow and fast subsystems. The singularities, including Hopf bifurcation (HB), saddle-node bifurcation (SNB) and singularity induced bifurcation (SIB), are characterized. We show that SNB occurs at PTc = 3.4382, SIB at PT0 = 2.8653 and HB at PTh = 2.802 for the singular perturbation system. It means that the power system will collapse near SIB which precedes SNB and that the power system will oscillate near HB which precedes SIB. In other words, the power system will lose its stability by means of oscillation near the HB which precedes SIB and SNB as PT is increasing to a critical value. The boundary of the stability region of the system can be described approximately by a combination of boundaries of the stability regions of the fast subsystem and slow subsystem.
ISSN: 0168-9673
DOI: 10.1007/s10255-004-0184-9
Appears in Collections:Journal/Magazine Article

View full-text via PolyU eLinks SFX Query
Show full item record


Last Week
Last month
Citations as of Aug 6, 2018

Page view(s)

Last Week
Last month
Citations as of Aug 12, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.