This paper investigates the fault-tolerant load frequency control (LFC) design of interconnected wind power systems. For this, a doubly-fed induction generator (DFIG)-based wind farm is integrated into the interconnected power systems. Distinct from the existing works, the communication time-delay is taken into the area control error (ACE) signals of interconnected wind power systems. Also, compared with the traditional LFC scheme, a fault-tolerant $H_{\infty }$ LFC scheme is presented with known and unknown actuator fault against load disturbances and wind speed fluctuations. Then, the asymptotic stability conditions are derived in the linear matrix inequalities (LMIs) form by utilizing the Lyapunov–Krasovskii functional (LKF) method and Wirtinger-based inequality technique under the designed LFC scheme with $H_{\infty }$ performance. Finally, numerical examples are given to validate the applicability and superiority of the designed LFC scheme.

本文研究了互联风电系统的容错负载频率控制 (LFC) 设计。为此，将基于双馈感应发电机 (DFIG) 的风电场集成到互连的电力系统中。与现有工作不同的是，在互联风电系统的区域控制误差（ACE）信号中考虑了通信时延。此外，与传统的 LFC 方案相比，具有容错性$H_{\infty }$LFC 方案针对负载扰动和风速波动提出了已知和未知的执行器故障。然后，在设计的 LFC 方案下，利用 Lyapunov-Krasovskii 泛函 (LKF) 方法和基于 Wirtinger 的不等式技术，以线性矩阵不等式 (LMI) 形式导出渐近稳定性条件$H_{\infty }$表现。最后通过数值算例验证了所设计的LFC方案的适用性和优越性。