Research Article Open Access

BIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEM

Halima Aloui1, Faouzi Bacha1 and Moncef Gasmi1
  • 1 , Tunisie
American Journal of Applied Sciences
Volume 11 No. 4, 2014, 541-547

DOI: https://doi.org/10.3844/ajassp.2014.541.547

Submitted On: 4 January 2013 Published On: 29 January 2014

How to Cite: Aloui, H., Bacha, F. & Gasmi, M. (2014). BIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEM. American Journal of Applied Sciences, 11(4), 541-547. https://doi.org/10.3844/ajassp.2014.541.547

Abstract

This study presents a study of bifurcation in a dynamic power system model. It becomes one of the major precautions for electricity suppliers and these systems must maintain a steady state in the neighborhood of the operating points. We study in this study the dynamic stability of two node power systems theory and the stability of limit cycles emerging from a subcritical or supercritical Hopf bifurcation by computing the first Lyapunov coefficient. The MATCONT package of MATLAB was used for this study and detailed numerical simulations presented to illustrate the types of dynamic behavior. Results have proved the analyses for the model exhibit dynamical bifurcations, including Hopf bifurcations, Limit point bifurcations, Zero Hopf bifurcations and Bagdanov-taknes bifurcations.

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Keywords

  • Power System Stability
  • Hopf Bifurcations
  • Limit Point Bifurcations
  • Bagdanov-Taknes Bifurcations