Abstract This paper provides the modeling and control of stator active and reactive power for doubly fed induction generator (DFIG) under wind turbine systems using a variable structure control theory called Sliding Mode Control (SMC). The classical sliding mode method achieves undesirable chattering effect, which can damage the system. For this, it is relevant to use the second-order sliding mode algorithms to avoid this chattering. Two types of nonlinear control are presented and compared: classical first order Sliding Mode Control and Super Twisting Algorithm (STA), the later needs only the information of sliding surface. Their performances are compared in terms of power reference tracking and robustness against machine parameters variations. Simulation results using Matlab/Simulink have demonstrated the effectiveness and robustness of the Super Twisting Sliding Mode Controller compared to first order Sliding Mode Controller owing to the fact that of its efficacy in reducing the chattering phenomenon.

中文翻译：

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风机下双馈感应发电机（DFIG）经典滑模控制（SMC）与超扭算法（STA）稳定性分析研究

摘要 本文使用称为滑模控制 (SMC) 的可变结构控制理论，对风力涡轮机系统下双馈感应发电机 (DFIG) 的定子有功和无功功率进行建模和控制。经典的滑模方法会产生不良的颤振效果，可能会损坏系统。为此，使用二阶滑模算法来避免这种抖动是相关的。介绍并比较了两种非线性控制：经典的一阶滑模控制和超扭曲算法（STA），后者只需要滑动面的信息。它们的性能在功率参考跟踪和针对机器参数变化的鲁棒性方面进行了比较。