Recently, the stability issue caused by interactions between the doubly-fed induction generator (DFIG)-based wind turbines (WTs) and weak grids has attracted great concerns. Considering the complexity of the grid-connected system, an effective and intuitionistic stability criterion is quite essential. This paper proposes a Gershgorin-circle based low-complexity generalized Nyquist stability criterion (LC-GNSC) for the DFIG-based WTs. Firstly, the system stability criterion, named LC-GNSC, is put forward by analyzing the distance relationship between the center of Gershgorin-circle and prohibited area. Then the explicit small-signal admittance model of the DFIG system is established. Based on the proposed criterion, the impacts of the key physical and control parameters on system stability are further investigated in detail. Finally, simulations and experiments are conducted to verify the accuracy of the proposed stability criterion.

中文翻译：

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基于 Gershgorin 圆的 DFIG 驱动风力发电机的低复杂度广义奈奎斯特稳定性准则


近年来，基于双馈感应发电机（DFIG）的风力发电机（WT）与弱电网相互作用引起的稳定性问题引起了人们的广泛关注。考虑到并网系统的复杂性，有效且直观的稳定性判据十分必要。本文提出了一种基于格什戈林圆的低复杂度广义奈奎斯特稳定性准则（LC-GNSC），用于基于 DFIG 的小波变换。首先，通过分析格什戈林圆中心与禁区的距离关系，提出了系统稳定性判据LC-GNSC。然后建立了DFIG系统的显式小信号导纳模型。基于所提出的准则，进一步详细研究了关键物理和控制参数对系统稳定性的影响。最后，通过仿真和实验验证了所提出的稳定性准则的准确性。