Bifurcation Analysis on a Multimachine Power System Model

Stability Analysis Through the Direct Method of Lyapunov in the Oscillation of a Synchronous Machine

“…The power system considered in this paper, consists of a synchronous generator (Revel, León, & Moiola, 2010) connected to infinite bus as shown in Figure 1. The mathematical model that describes the previous system is represented by the equations: = − + cos + (2) where is the angle of the rotor in radians, is the generator voltage in p.u., D is the damping coefficient, E is the input voltage, P is the mechanical power, M is the inertial coefficient of the rotor, τ is a time constant and , , are constant parameters related to internal characteristics of the generator.…”

Multi-parameter bifurcation analysis of subsynchronous interactions in DFIG-based wind farms

“…Nonlinear analysis techniques, including bifurcation theory, offer powerful methods to study problems characterized by the appearance of nonlinear oscillations when certain parameters are varied. They have been successfully used to study the dynamical behavior of power systems in diverse contexts, such as stability analysis [25][26][27][28][29][30], integration of wind energy [31,32], and the SSR phenomenon in conventional synchronous generators [33,34]. In this study, bifurcation theory is used in combination with classical methods, such as, eigenvalue analysis and nonlinear time-domain simulations.…”

Nonlinear dynamic singularity analysis of two interconnected synchronous generator system with 1:3 internal resonance and parametric principal resonance

“…However, such models are limited to study instability events involving many generators. For multi-machine power systems, many techniques have been developed and applied to the stability analysis in terms of theoretical analysis [15][16] , numerical methods [17] , and engineering applications [18][19] .…”