This study uses the global perturbation method to investigate global bifurcation and chaotic dynamics in a double-fed induction generator (DFIG) system with H∞ control. Analysis shows that the H∞ control law has the potential to induce dangerous homoclinic bifurcations and chaotic motions in the dynamic behavior of the rotor. These phenomena, which are particularly likely under turbulent wind conditions or weak grid connections, lead to chaotic torque pulsations, inducing mechanical stress and voltage instability, can saturate the rotor - side converter and risk controller failure. To mitigate this inherent instability, an augmented H∞ control strategy with wind- speed - dependent parameters is proposed. A subsequent dynamic analysis of the perturbation parameters guides their tuning to ensure stable operation. Computer simulations validate the model and verify the theoretical analysis, demonstrating that the proposed augmented control a very good fit for the experimental data.
Souhail et al. (Thu,) studied this question.