Lyapunov-Based Frequency Regulation Strategy for Doubly-Fed Induction Generators Under Grid Frequency Disturbances

With the weakening of system inertia caused by the high proportion of renewable energy access, the frequency regulation in power systems is facing severe challenges. As a typical Inertia-less Power source, wind power must actively participate in frequency control to enhance grid stability. This paper proposes a Lyapunov-based frequency control strategy for Doubly-Fed Induction Generators (DFIGs) to improve system frequency response and dynamic robustness. Compared to traditional PI and virtual inertia methods, the proposed control significantly reduces the maximum frequency deviation from 0.31 Hz to 0.19 Hz, shortens the recovery time from 4.2 s to 2.18 s, and improves the overall system stability score from 6.5 to 9.4. By constructing the electrical and mechanical models of DFIGs and designing a state feedback controller, we validate the effectiveness of the proposed strategy through MATLAB/Simulink simulations. The results demonstrate superior performance over traditional PI control regarding response speed and frequency stabilization across multiple operating conditions.