Dynamical study of a type-3 DFIG wind turbine while transitioning from rated speed to rated power

In this paper, a model of type-3 Doubly Fed Asynchronous/Induction Generator (DFAG/DFIG) wind turbine is considered. We construct a system of 10 nonlinear differential equations that describes the transitional stage of dynamics when the rated speed is achieved and the rated power is not. A computation of the steady state vs. wind speed, stability in grid parameter space (resistance and reactance), and sensitivity of state variables and eigenvalues to parameters are presented in the paper. The paper recorded some sensitivity of eigenvalues to the reactance X. The paper presents simulations for a transitioning wind speed profile and a class of solutions with different wind speeds that start close to the equilibrium. These simulations are supporting the paper's conclusion.