Abstract:
The frequency response characteristics of a doubly-fed induction generator (DFIG) with virtual inertia control are influenced by various factors, including the wind turbines and their control elements. An active power-frequency response model for the DFIG considering the dynamics of rotor magnetic flux and current loop is proposed in this paper. Firstly, this paper investigates the operational characteristics of DFIG with virtual inertia control when subjected to disturbances. Utilizing the small signal linearization technique, the state equations are formulated for the wind turbine, the asynchronous generator, the shaft system, the rotor-side power loop control, and the current loop control. Then, the linearized equations for the rotor magnetic flux-current loop are simplified based on the principle of stator flux orientation. Using the state equations, a five-order closed-loop transfer function for the wind turbine system is derived, accounting for the influence of rotor magnetic flux and current loop control. The impact of the current loop on the rotor magnetic flux frequency response is quantified through a frequency domain analysis. Furthermore, a comparative analysis is performed between the proposed model and the existing simplified models, and the perturbation theory is employed to analyze the effects of current loop control parameters on the active power-frequency response of the proposed model. Finally, the high response accuracy and strong applicability of the proposed model are demonstrated through the comparative time-domain simulations on the five-node test system with DFIG and an actual power system example.