A new method for obtaining critical clearing time for transient stability

Naoto Yorino*, Ardyono Priyadi, Hironori Kakui, Mitsuhiro Takeshita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)


This paper proposes a new formulation for transient stability analysis for electric power systems. Different from existing methods, a minimization problem is formulated for obtaining critical clearing time (CCT) for transient stability. The method is based on the computation of a trajectory on the stability boundary, which is referred to as critical trajectory in this paper. The critical trajectory is defined as the trajectory that starts from a point on a fault-on trajectory at CCT and reaches a critical point of losing synchronism. The new proposal includes a modified trapezoidal formulation for numerical integration, the critical conditions for synchronism, and the unified minimization formulation. It will be demonstrated that the solution of the minimization problem successfully provides the exact CCT that agrees with the conventional numerical simulation method.

Original languageEnglish
Article number5419951
Pages (from-to)1620-1626
Number of pages7
JournalIEEE Transactions on Power Systems
Issue number3
Publication statusPublished - Aug 2010
Externally publishedYes


  • Critical clearing time
  • critical trajectory method
  • electric power system
  • transient stability analysis


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