An application of reachable set analysis in power system transient stability assessment

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

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

7 Citations (Scopus)

Abstract

A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the level set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of a stable equilibrium yields the stability region of the equilibrium point in power system transient stability assessment. The proposed method is applied to a single machine infinite bus system and a classical two-machine system yielding satisfactory results.

Original languageEnglish (US)
Title of host publication2005 IEEE Power Engineering Society General Meeting
Pages1715-1719
Number of pages5
Volume2
StatePublished - 2005
Externally publishedYes
Event2005 IEEE Power Engineering Society General Meeting - San Francisco, CA, United States
Duration: Jun 12 2005Jun 16 2005

Other

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

Fingerprint

Partial differential equations
Nonlinear systems

Keywords

  • Level set methods
  • Power system transient stability assessment
  • Reachable set analysis

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Jin, L., Liu, H., Kumar, R., Ajjarapu, V., McCalley, J. D., Elia, N., & Vittal, V. (2005). An application of reachable set analysis in power system transient stability assessment. In 2005 IEEE Power Engineering Society General Meeting (Vol. 2, pp. 1715-1719)

An application of reachable set analysis in power system transient stability assessment. / Jin, Licheng; Liu, Haifeng; Kumar, Ratnesh; Ajjarapu, Venkataramana; McCalley, James D.; Elia, Nicola; Vittal, Vijay.

2005 IEEE Power Engineering Society General Meeting. Vol. 2 2005. p. 1715-1719.

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

Jin, L, Liu, H, Kumar, R, Ajjarapu, V, McCalley, JD, Elia, N & Vittal, V 2005, An application of reachable set analysis in power system transient stability assessment. in 2005 IEEE Power Engineering Society General Meeting. vol. 2, pp. 1715-1719, 2005 IEEE Power Engineering Society General Meeting, San Francisco, CA, United States, 6/12/05.
Jin L, Liu H, Kumar R, Ajjarapu V, McCalley JD, Elia N et al. An application of reachable set analysis in power system transient stability assessment. In 2005 IEEE Power Engineering Society General Meeting. Vol. 2. 2005. p. 1715-1719
Jin, Licheng ; Liu, Haifeng ; Kumar, Ratnesh ; Ajjarapu, Venkataramana ; McCalley, James D. ; Elia, Nicola ; Vittal, Vijay. / An application of reachable set analysis in power system transient stability assessment. 2005 IEEE Power Engineering Society General Meeting. Vol. 2 2005. pp. 1715-1719
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