This study proposes a hybrid wind power prediction model that combines a normalized wind speed-based power curve with residual learning to reduce prediction errors associated with air density variations and to compensate for residuals that cannot be explained by the power curve alone. First, measured SCADA wind speeds were converted into normalized wind speeds based on the air density correction concept specified in IEC 61400-12-1 using ERA5 temperature and atmospheric pressure data. A physical power curve, PC( ), was then created using the normalized wind speed. Subsequently, the difference between the actual power output and PC(Vn) was defined as the residual, and a Random Forest-based residual learning model was developed using normalized wind speed, temperature, and atmospheric pressure as input variables. The final power output was obtained by combining the physical power curve prediction with the predicted residual. Analysis of residual bias and variance across wind speed bins showed that the application of normalized wind speed reduced structural errors, particularly in the medium wind speed region, compared with the conventional power curve based on measured SCADA wind speed. Furthermore, the residual learning model effectively reduced the overall dispersion of prediction errors. Performance evaluation demonstrated that the proposed Physical PC( ) + Residual RF model achieved reductions of 24.4%, 30.2%, 24.4%, and 30.3% in RMSE, MAE, MAPE, and wMAPE, respectively, compared with the Physical PC( ) model without residual correction. In addition, temperature and atmospheric pressure were found to provide additional explanatory power during the residual learning stage even after being used in the normalized wind speed calculation. The results indicate that the proposed hybrid framework successfully combines the interpretability of a physics-based power curve with the predictive capability of machine learning-based residual correction. Therefore, the proposed approach can be effectively applied to wind farm power prediction and performance analysis.