Reachability analysis based minimal load shedding determination

Haifeng Liu, Licheng Jin, Venkataramana Ajjarapu, Ratnesh Kumar, James D. McCalley, Nicola Elia, Vijay Vittal

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

This paper proposes a method to determine the minimal amount of load shedding based on backward reachability analysis. The backward reachable set is calculated using level set methods to compute the region of stability of a stable equilibrium point. The minimal amount of load shedding as a function of time elapsed since the post-disturbance condition can be systematically derived as the horizontal distance between the post-disturbance trajectory and the stability boundary of the stable equilibrium point. Case studies with a system consisting of an infinite bus feeding a dynamic load through a tap-changing transformer are presented to illustrate the approach.

Original languageEnglish (US)
Title of host publication2005 IEEE Power Engineering Society General Meeting
Pages1775-1780
Number of pages6
StatePublished - Oct 31 2005
Externally publishedYes
Event2005 IEEE Power Engineering Society General Meeting - San Francisco, CA, United States
Duration: Jun 12 2005Jun 16 2005

Publication series

Name2005 IEEE Power Engineering Society General Meeting
Volume2

Other

Other2005 IEEE Power Engineering Society General Meeting
CountryUnited States
CitySan Francisco, CA
Period6/12/056/16/05

Keywords

  • Level set methods
  • Load shedding
  • Reachability analysis
  • Voltage stability

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Liu, H., Jin, L., Ajjarapu, V., Kumar, R., McCalley, J. D., Elia, N., & Vittal, V. (2005). Reachability analysis based minimal load shedding determination. In 2005 IEEE Power Engineering Society General Meeting (pp. 1775-1780). (2005 IEEE Power Engineering Society General Meeting; Vol. 2).