TY  - JOUR
AU  - Aloui, Halima 
AU  - Bacha, Faouzi 
AU  - Gasmi, Moncef 
PY  - 2014
TI  - BIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEM
JF  - American Journal of Applied Sciences
VL  - 11
IS  - 4
DO  - 10.3844/ajassp.2014.541.547
UR  - https://thescipub.com/abstract/ajassp.2014.541.547
AB  - 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.