The wind turbine system is one of the most challenging control problems in power systems due to its fast and slow dynamics and the optimal and robust control of the doubly fed induction generator is particularly important in this system. To handle the desired performance under different conditions, this paper presents a new control method by combining the model predictive control method with the adaptive method. In the aforementioned method by decoupling the active and reactive power control, an adaptive method is used to estimate the uncertainty, disturbance, and nonlinear terms as well as the internal feedback design. Then, linear matrix inequality-based robust model predictive control is designed as external feedback. The Lyapunov method is used to demonstrate system stability under the proposed controller. The simulation results show the efficiency of the method under different scenarios.

风力发电机系统由于其快速和慢速动态特性，是电力系统中最具挑战性的控制问题之一，双馈感应发电机的最优鲁棒控制在该系统中尤为重要。为了处理不同条件下的期望性能，本文将模型预测控制方法与自适应方法相结合，提出了一种新的控制方法。在上述有功功率和无功功率控制解耦的方法中，采用自适应方法来估计不确定性、扰动和非线性项以及内部反馈设计。然后，设计基于线性矩阵不等式的鲁棒模型预测控制作为外部反馈。Lyapunov 方法用于证明所提出的控制器下的系统稳定性。