<p>To address the transient stabilization and dynamic response of offshore wind power grid-connected systems under grid voltage sag, this paper investigates droop control as a representative grid-forming (GFM) control strategy. By establishing a comprehensive transient model, the mechanisms underlying system destabilization are thoroughly analyzed. Based on this analysis, the critical relationship between the depth of grid voltage sag and system stability is derived. The influence of droop control parameters on the transient stability of the system under varying degrees of grid voltage sag is further explored, providing a theoretical foundation for designing adaptive control strategies. Building on this foundation, an adaptive control strategy tailored to the severity of voltage sag is proposed. The strategy achieves reshaping of the balanced operating point while ensuring maximum power delivery during faults by decreasing the reactive power gain during the small voltage sag and linearly adjusting the reactive power reference during the larger voltage sag. Additionally, a power compensation method is introduced to accelerate the system’s transition to a steady state. Finally, the effectiveness of the proposed methods is validated using MATLAB/Simulink and dSPACE.</p>