The paper introduces a new method to fill in missing wind speed data in climate models. This is important because sometimes data is missing due to sensor issues or maintenance problems. We combined two algorithms, Generative Adversarial Network (GAN) and Dual Annealing, to create a more accurate way to estimate the missing data. We wanted not only to fill in the gaps but also make sure the data generated was realistic. We compared the method with other common approaches like k-nn and Soft Imputation. The study found that the hybrid approach outperformed these other methods in terms of accuracy and reliability. By using this new technique, climate scientists can improve the quality of their models and make more precise predictions about climate change. This research is significant because having accurate wind speed data is crucial for understanding and predicting climate patterns, and this new method offers a promising solution to handle missing data effectively in climate modeling.