Multimachine stability analysis using vector Lyapunov functions with inertial-centre decomposition

M. A. Pai, V. Vittal

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Multimachine power system stability is investigated by means of a new decomposition technique. The power system is decomposed into subsystems using the inertial-centre concept. Individual Lyapunov functions are then obtained for each subsystem. Stability conditions for the overall system are established, taking into account the interconnection characteristics. The least restrictive overall system Lyapunov function is obtained by weighting each subsystem instability is then used to determine the critical clearing time.

Original languageEnglish (US)
Pages (from-to)139-144
Number of pages6
JournalInternational Journal of Electrical Power and Energy Systems
Issue number3
StatePublished - Jul 1983
Externally publishedYes


  • Lyapunov method
  • electric power system disturbances
  • inertial centre
  • stability analysis

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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