Novel Approach for Determination of Worst Loading Direction and Fast Prediction of Stability Margin in Power Systems

Behrooz Vahidi, Ehsan Nasr Azadani, Poria Hassanpor Divshali, Amir Hessam Hessaminia, Sayed Hosein Hosseinian

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)


Determination of the loadability margin for various security limits is of great importance to the secure operation of the power system as is proposing a reliable method for the fast determination of bifurcation points in the systems. Eigenvalue calculation is normally used for both actions. Whereas this method is computationally expensive, soft computing methods are employed to improve calculation time. In this paper a support vector machine (SVM) method is proposed to aid the fast classifying of bifurcation stability of the system. A novel approach based on particle swarm optimization (PSO) is also introduced to find the closest load ability margin and its corresponding loading direction. Three security limits are considered in this study: Saddle-node bifurcation, limit-induced bifurcation, and Hopf bifurcation. The simulation results for two test systems demonstrate the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)729-741
Number of pages13
Issue number12
Publication statusPublished - 1 Jan 2010
MoE publication typeA1 Journal article-refereed



  • Hopf bifurcation
  • Limit-induced bifurcation
  • Oscillatory instability
  • Particle Swarm Optimization
  • Saddle- node bifurcation
  • Support Vector Machine

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