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Saddle-node index as bounding value for Hopf bifurcations detection
Saddle-node index as bounding value for Hopf bifurcations detection
- Author(s): A.C. Zambroni de Souza ; B.I. Lima Lopes ; R.B.L. Guedes ; N.G. Bretas ; A.C.P. Martins ; L.F. Mello
- DOI: 10.1049/ip-gtd:20045225
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- Author(s): A.C. Zambroni de Souza 1 ; B.I. Lima Lopes 1 ; R.B.L. Guedes 2 ; N.G. Bretas 2 ; A.C.P. Martins 2 ; L.F. Mello 1
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View affiliations
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Affiliations:
1: Department of Electrical Engineering, Universidade Federal de Itajubá, Itajubá, Brazil
2: Department of Electrical Engineering, USP, São Carlos, Brazil
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Affiliations:
1: Department of Electrical Engineering, Universidade Federal de Itajubá, Itajubá, Brazil
- Source:
Volume 152, Issue 5,
September 2005,
p.
737 – 742
DOI: 10.1049/ip-gtd:20045225 , Print ISSN 1350-2360, Online ISSN 1359-7051
Some aspects related to modal analysis in voltage stability studies are discussed. The idea is to determine a set of dominant eigenvalues during the voltage collapse path. This set contains the most critical eigenvalues, which are not, necessarily, the least eigenvalues commonly focused in modal analysis. This tool is then used to detect Hopf and saddle-node bifurcations, since the least real part of the eigenvalues are monitored. The results are obtained and discussed with the help of two sample systems with two and nine buses each.
Inspec keywords: load flow; bifurcation; power system dynamic stability; iterative methods; eigenvalues and eigenfunctions; modal analysis
Other keywords:
Subjects: Interpolation and function approximation (numerical analysis); Power system control; Linear algebra (numerical analysis)
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