Analysis of the Impact of Active Power Recovery Rate of Wind Farms on Power System Transient Stability

INTRODUCTION: The post‑fault active‑power recovery of DFIG wind farms strongly influences transient‑stability assessment, yet conventional equivalent models fail to capture variations in recovery rate during LVRT. This paper proposes an equivalent modeling method that embeds optimized recovery characteristics. First, the post‑fault recovery behavior is analyzed. A single‑machine equivalent with an optimized recovery rate and a multi‑machine equivalent representing piecewise recovery are then developed. Differences from a detailed wind‑farm model are quantified using error indices and curve similarity, and impacts on simulation credibility are assessed. Results show the proposed models better reproduce recovery dynamics and improve transient‑stability accuracy. OBJECTIVES: characterize post‑fault active‑power recovery in wind farms, develop accurate equivalents for the restoration stage, and reveal how integration models affect power‑system transient stability. METHODS: Single‑machine and multi‑machine wind‑farm equivalencing with optimized active‑power recovery (and turbine time constants), plus the transient energy‑function method. RESULTS: Compared with conventional methods reported in the literature, the proposed wind farm equivalencing methods reduce the relative error of model equivalencing from 18.84% to 9.49% and 3.70%, respectively. In addition, the relative error in transient stability analysis is reduced from 22.68% to 9.19% and 2.35%, respectively. CONCLUSION AND SIGNIFICANCE: To establish a high-accuracy equivalent model of the wind farm, thereby providing a reliable modeling basis for transient stability analysis of power systems with wind power integration.