Ijesp Hopf Bifurcations in the IEEE Second Benchmark Model for SSR studies

;:áàÙ HOPF BIFURCATIONS IN THE IEEE SECOND BENCHMARK MODEL FOR SSR STUDIES Yasar Kucukefe Adnan Kaypmaz ITU ITU Istanbul,Turkey Istanbul,urkey yasar.kucukefe@ieee.org kaypmaz@elk.itu.edu.tr Abstract – In this paper, the first system of the IEEE Hopf bifurcation is defined as the birth of a limit second benchmark model (SBM) for subsynchronous cycle from equilibrium in a dynamical system governed resonance (SSR) studies is analyzed using the bifurcation by autonomous ODEs (Ordinary Differential Equations) theory. A nonlinear model for the SBM which consists of a under variation of one or more parameters on which the synchronous generator connected to an infinite busbar dynamic system is dependent. Supercritical Hopf bifur-through two parallel transmission lines, one of which is cations result in birth of stable limit cycles. On the con-equipped with a series capacitor, has been developed in trary, unstable limit cycles are born in the case of sub-MATLAB. Generator damper windings are also included critical Hopf bifurcation. Floquet theory is widely used in the model. The existence of Hopf bifurcations in the model is verified. The stability of limit cycles (i.e. subcriti- to study the stability of limit cycles. The procedure cal or supercritical Hopf bifurcation) is investigated by involves the calculation of steady-state solutions, Hopf computing the first Lyapunov coefficient. The impact of bifurcation points, the ...