A Critical Eigenvalues Tracing Method for the Small Signal Stability Analysis of Power Systems

Shao-Hong Tsai, Yuan-Kang Wu, Ching-Yin Lee

Department of Electrical Engineering, Hwa Hsia Institute of Technology.
Department of Electrical Engineering, National Chung Cheng University.
Department of Electrical Engineering, Tungnan University.

DOI: 10.4236/epe.2013.54B131                

Abstract

The continuation power flow method combined with the Jacobi-Davidson method is presented to trace the critical eigenvalues for power system small signal stability analysis. The continuation power flow based on a predictor- corrector technique is applied to evaluate a continuum of steady state power flow solutions as system parameters change; meanwhile, the critical eigenvalues are found by the Jacobi-Davidson method, and thereby the trajectories of the critical eigenvalues, Hopf bifurcation and saddle node bifurcation points can also be found by the proposed method. The numerical simulations are studied in the IEEE 30-bus test system.

Keywords

Critical Eigenvalue Trajectory; Continuation Power Flow; Hopf bifurcation; Saddle Node Bifurcation; Small Signal Stability; Jacobi-Davidson Method

Conflicts of Interest

The authors declare no conflicts of interest.

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