Wide-band oscillations have become a significant issue limiting the development of wind power. Both large-signal and small-signal analyses require extensive model derivation. Moreover, the large number and high order of wind turbines have driven the development of simplified models, whose applicability remains controversial. In this paper, a wide-band oscillation analysis method based on the average-value model (AVM) is proposed for wind farms (WFs). A novel linearization analysis framework is developed, leveraging the continuous-time characteristics of the AVM and MATLAB/Simulink’s built-in linearization tools. This significantly reduces modeling complexity and computational costs while maintaining model fidelity. Additionally, an object-based initial value estimation method of state variables is introduced, which, when combined with steady-state point-solving tools, greatly reduces the computational effort required for equilibrium point solving in batch linearization analysis. The proposed method is validated in both doubly fed induction generator (DFIG)-based and permanent magnet synchronous generator (PMSG)-based WFs. Furthermore, a comprehensive analysis is conducted for the first time to examine the impact of the machine-side system on the system stability of the non-fully controlled PMSG-based WF.

This paper presents a hierarchical and distributed control method for AC and DC microgrid clusters interconnected by the flexible DC distribution network to simultaneously achieve multiple control objectives. A hierarchical and distributed control framework is first established, which includes the distributed generator layer (DG-layer), microgrid layer (MG-layer), and cluster coordination layer (CC-layer) to realize the decomposition of control functions. Subsequently, the control method of each layer is provided. Two control modes, i.e., the distributed master-slave control mode and distributed peer-to-peer control mode, are proposed to adapt to different control requirements for the voltages of the DC distribution network. The proposed control method can also achieve coordination among the interlinking converters of each MG. Finally, time-domain simulations in the MATLAB/Simulink platform are performed to validate the effectiveness of the proposed method.