On adapting test function methods for fast detection of fold bifurcations in power systems

Anwar Hussein, Ke Chen, Haibin Wan

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Test function methods are well known techniques to monitor a continuation method to determine if a fold (saddle-point) bifurcation point has been reached. Two such test functions due to [Abbott, 1978] and [Seydel, 1979] are considered here in a unified framework and their connection to the tangent vector index method from power system community is shown. The challenge in power systems applications is to adapt a test function method to produce a performance index that approximates the fold parameter λ* without the need of following the solution path to the fold point (x*, λ*). We demonstrate that the tangent vector index method, due to its connection with the mathematically justifiable test function methods, can lead to a useful performance index.

Original languageEnglish
Pages (from-to)179-185
Number of pages7
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 1 2002

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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