Intelligent Wind Power Forecasting for Sustainable Smart Cities
Abstract
1. Introduction
2. Related Works
3. Methodology
3.1. Spatio-Temporal LLM
3.1.1. Problem Formalization
3.1.2. Spatio-Temporal Dependency Encoder Module
3.1.3. Text-Spatio-Temporal Information Alignment Module
3.2. Interpolation Module Based on Frequency Domain Learning
4. Experiments
4.1. Dataset Description
4.2. Evaluation Metrics
4.3. Experimental Settings
4.4. Experimental Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
- Zreik, M.; Jiao, Y. Comparative Econometric Analysis of Renewable Energy Policies in Smart Cities: A Case Study of Singapore and the UAE. Appl. Sci. 2025, 15, 12168. [Google Scholar] [CrossRef]
- Li, F.; Wang, H.; Wang, D.; Liu, D.; Sun, K. A Review of Wind Power Prediction Methods Based on Multi-Time Scales. Energies (19961073) 2025, 18, 1713. [Google Scholar] [CrossRef]
- Phan, Q.T.; Wu, Y.K.; Phan, Q.D. A hybrid wind power forecasting model with XGBoost, data preprocessing considering different NWPs. Appl. Sci. 2021, 11, 1100. [Google Scholar] [CrossRef]
- Focken, U.; Lange, M.; Waldl, H.P. Previento: A Wind Power Prediction System with an Innovative Upscaling Algorithm. In Proceedings of the European Wind Energy Conference, Copenhagen, Denmark, 2–6 July 2001. [Google Scholar]
- First, U.; Engin, S.N.; Saraclar, M.; Ertuzun, A.B. Wind Speed Forecasting based on Second Order Blind Identification and Autoregressive Model. In Proceedings of the International Conference on Machine Learning and Applications, Washington, DC, USA, 12–14 December 2010. [Google Scholar]
- Yunus, K.; Thiringer, T.; Chen, P. ARIMA-Based Frequency-Decomposed Modeling of Wind Speed Time Series. IEEE Trans. Power Syst. 2016, 31, 2546–2556. [Google Scholar] [CrossRef]
- Wang, J.; Sun, J.; Zhang, H. Short-term Wind Power Forecasting based on Support Vector Machine. In Proceedings of the International Conference on Power Electronics Systems and Applications, Hong Kong, China, 11–13 December 2013. [Google Scholar]
- Zhao, Y.; Wen, H.; Lou, J.; Fu, J.; Zheng, J.; Lin, Y. EasyST: Modeling Spatial-Temporal Correlations and Uncertainty for Dynamic Wind Power Forecasting via PaddlePaddle. In Baidu KDD Cup; Renmin University of China: Beijing, China, 2022. [Google Scholar]
- Yin, H.; Dong, Z.; Chen, Y.; Ge, J.; Lai, L.L.; Vaccaro, A.; Meng, A. An Effective Secondary Decomposition Approach for Wind Power Forecasting using Extreme Learning Machine Trained by Crisscross Optimization. Energy Convers. Manag. 2017, 150, 108–121. [Google Scholar] [CrossRef]
- Tan, L.; Yue, H. Application of BERT in Wind Power Forecasting-Teletraan’s Solution. In Baidu KDD Cup; Renmin University of China: Beijing, China, 2022. [Google Scholar]
- Wu, H.; Xu, J.; Wang, J.; Long, M. Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecasting. In Proceedings of the Conference on Neural Information Processing Systems, Online, 6–14 December 2021. [Google Scholar]
- Zhou, T.; Ma, Z.; Wen, Q.; Wang, X.; Sun, L.; Jin, R. FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting. In Proceedings of the International Conference on Machine Learning, Baltimore, MD, USA, 17–23 July 2022. [Google Scholar]
- Liang, X.; Gu, Q.; Qiao, S.; Lv, Z.; Song, X. WPFormer: A Spatio-Temporal Graph Transformer with Auto-Correlation for Wind Power Prediction. In Baidu KDD Cup; Renmin University of China: Beijing, China, 2022. [Google Scholar]
- Liu, S.; Yu, H.; Liao, C.; Li, J.; Lin, W.; Liu, A.X.; Dustdar, S. Pyraformer: Low-complexity Pyramidal Attention for Long-range Time Series Modeling and Forecasting. In Proceedings of the International Conference on Learning Representations, Vienna, Austria, 3–7 May 2021. [Google Scholar]
- Dai, R.; Wang, Z.; Jie, J.; Wang, W.; Ye, Q. VTformer: A novel multiscale linear transformer forecaster with variate-temporal dependency for multivariate time series. Complex Intell. Syst. 2025, 11, 1–19. [Google Scholar] [CrossRef]
- Liu, Y.; Hu, T.; Zhang, H.; Wu, H.; Wang, S.; Ma, L.; Long, M. Itransformer: Inverted transformers are effective for time series forecasting. arXiv 2023, arXiv:2310.06625. [Google Scholar]
- Zhang, Y.; Ai, Q.; Xiao, F.; Hao, R.; Lu, T. Typical Wind Power Scenario Generation for Multiple Wind Farms using Conditional Improved Wasserstein Generative Adversarial Network. Int. J. Electr. Power Energy Syst. 2020, 114, 105388. [Google Scholar] [CrossRef]
- Yuan, R.; Wang, B.; Mao, Z.; Watada, J. Multi-objective Wind Power Scenario Forecasting based on PG-GAN. Energy 2021, 226, 120379. [Google Scholar] [CrossRef]
- Li, Z.; Xing, J.; Wu, S. A Spatial-temporal Ensemble Deep Learning Framework for Wind Power Forecasting (Team QDU). In Baidu KDD Cup; Renmin University of China: Beijing, China, 2022. [Google Scholar]
- Jiang, J.; Han, C.; Wang, J. Spatial-Temporal Graph Neural Network for Wind Power Forecasting in Baidu KDD CUP 2022. arXiv 2023, arXiv:2302.11159. [Google Scholar] [CrossRef]
- Wu, Z.; Pan, S.; Long, G.; Jiang, J.; Chang, X.; Zhang, C. Connecting the Dots: Multivariate Time Series Forecasting with Graph Neural Networks. In Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Virtual, 6–10 July 2020; ACM: New York, NY, USA, 2020. [Google Scholar]
- Ye, J.; Liu, Z.; Du, B.; Sun, L.; Li, W.; Fu, Y.; Xiong, H. Learning the Evolutionary and Multi-scale Graph Structure for Multivariate Time Series Forecasting. In Proceedings of the 28th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, Washington, DC, USA, 14–18 August 2022; ACM: New York, NY, USA, 2022. [Google Scholar]
- Li, M.; Zhu, Z. Spatial-temporal Fusion Graph Neural Networks for Traffic Flow Forecasting. In Proceedings of the AAAI Conference on Artificial Intelligence, Virtually, 2–9 February 2021; Association for the Advancement of Artificial Intelligence: Palo Alto, CA, USA, 2021. [Google Scholar]
- Lan, S.; Ma, Y.; Huang, W.; Wang, W.; Yang, H.; Li, P. DSTAGNN: Dynamic Spatial-temporal Aware Graph Neural Network for Traffic Flow Forecasting. In Proceedings of the International Conference on Machine Learning, Baltimore, MD, USA, 17–23 July 2022. [Google Scholar]
- Dong, X.; Sun, Y.; Li, Y.; Wang, X.; Pu, T. Spatio-temporal Convolutional Network Based Power Forecasting of Multiple Wind Farms. J. Mod. Power Syst. Clean Energy 2022, 10, 388–398. [Google Scholar] [CrossRef]
- He, X.; Zhang, W.; Li, X.; Zhang, X. Tea-gcn: Transformer-enhanced adaptive graph convolutional network for traffic flow forecasting. Sensors 2024, 24, 7086. [Google Scholar] [CrossRef] [PubMed]
- Zong, X.; Yu, F.; Chen, Z.; Xia, X. MSSTGCN: Multi-Head Self-Attention and Spatial-Temporal Graph Convolutional Network for Multi-Scale Traffic Flow Prediction. Comput. Mater. Contin. 2025, 82, 3517. [Google Scholar]
- Kipf, T.N.; Welling, M. Semi-Supervised Classification with Graph Convolutional Networks. In Proceedings of the International Conference on Learning Representations, Toulon, France, 24–26 April 2017. [Google Scholar]
- Muda, L.; Begam, M.; Elamvazuthi, I. Voice Recognition Algorithms using Mel Frequency Cepstral Coefficient (MFCC) and Dynamic Time Warping (DTW) Techniques. arXiv 2010, arXiv:1003.4083. [Google Scholar] [CrossRef]
- Zeng, A.; Chen, M.; Zhang, L.; Xu, Q. Are Transformers Effective for Time Series Forecasting? In Proceedings of the AAAI Conference on Artificial Intelligence, Philadelphia, PA, USA, 25 February–4 March 2025; Association for the Advancement of Artificial Intelligence: Palo Alto, CA, USA, 2023. [Google Scholar]
- Dubey, A.; Jauhri, A.; Pandey, A.; Kadian, A.; Al-Dahle, A.; Letman, A.; Mathur, A.; Schelten, A.; Yang, A.; Fan, A.; et al. The llama 3 herd of models. arXiv 2024, arXiv:2407.21783. [Google Scholar] [CrossRef]
- Wu, H.; Hu, T.; Liu, Y.; Zhou, H.; Wang, J.; Long, M. TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysis. In Proceedings of the International Conference on Learning Representations, Kigali, Rwanda, 1–5 May 2023. [Google Scholar]
- Zhou, J.; Lu, X.; Xiao, Y.; Su, J.; Lyu, J.; Ma, Y.; Dou, D. Sdwpf: A dataset for spatial dynamic wind power forecasting challenge at kdd cup 2022. arXiv 2022, arXiv:2208.04360. [Google Scholar] [CrossRef]
- Cho, K.; Van Merriënboer, B.; Gulcehre, C.; Bahdanau, D.; Bougares, F.; Schwenk, H.; Bengio, Y. Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translation. arXiv 2014, arXiv:1406.1078. [Google Scholar] [CrossRef]
- Ke, G.; Meng, Q.; Finley, T.; Wang, T.; Chen, W.; Ma, W.; Ye, Q.; Liu, T.Y. LightGBM: A Highly Efficient Gradient Boosting Decision Tree. In Proceedings of the 31st Conference on Neural Information Processing Systems (NIPS 2017), Long Beach, CA, USA, 4–9 December 2017. [Google Scholar]
- Yu, B.; Yin, H.; Zhu, Z. Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecasting. In Proceedings of the International Joint Conference on Artificial Intelligence, Stockholm, Sweden, 13–19 July 2018. [Google Scholar]











| Model | 24 h | 48 h | ||||
|---|---|---|---|---|---|---|
| RMSE | MAE | Avg | RMSE | MAE | Avg | |
| LightGBM | 33.75 ± 0.42 | 25.76 ± 0.38 | 29.75 | 53.80 ± 0.55 | 45.63 ± 0.49 | 49.72 |
| GRU | 28.80 ± 0.36 | 25.73 ± 0.33 | 27.27 | 55.67 ± 0.61 | 47.69 ± 0.52 | 51.68 |
| VTformer | 23.64 ± 0.31 | 20.28 ± 0.29 | 21.96 | 52.84 ± 0.58 | 40.72 ± 0.47 | 46.78 |
| STGCN | 21.27 ± 0.27 | 18.55 ± 0.25 | 19.91 | 54.92 ± 0.59 | 39.27 ± 0.46 | 47.09 |
| iTransformer | 20.86 ± 0.24 | 17.94 ± 0.22 | 19.40 | 53.83 ± 0.56 | 39.15 ± 0.43 | 46.69 |
| TEA-GCN | 19.85 ± 0.22 | 17.32 ± 0.20 | 18.58 | 52.61 ± 0.53 | 38.99 ± 0.41 | 45.80 |
| MSSTGCN | 19.21 ± 0.21 | 17.01 ± 0.19 | 18.11 | 52.31 ± 0.52 | 38.95 ± 0.40 | 45.63 |
| WPFGPT | 17.77 ± 0.20 | 16.95 ± 0.18 | 17.36 | 50.02 ± 0.51 | 37.92 ± 0.39 | 43.97 |
| Model | wo Interpolation | w/Interpolation | ||||
|---|---|---|---|---|---|---|
| RMSE | MAE | Avg | RMSE | MAE | Avg | |
| LightGBM | 54.34 ± 0.60 | 46.27 ± 0.54 | 50.30 | 53.80 ± 0.55 ↑ | 45.63 ± 0.49 ↑ | 49.72 ↑ |
| GRU | 59.07 ± 0.66 | 49.88 ± 0.57 | 54.48 | 55.67 ± 0.61 ↑ | 47.69 ± 0.52 ↑ | 51.68 ↑ |
| VTformer | 58.20 ± 0.64 | 49.20 ± 0.52 | 53.70 | 52.84 ± 0.58 ↑ | 40.72 ± 0.47 ↑ | 46.78 ↑ |
| STGCN | 57.44 ± 0.63 | 49.51 ± 0.56 | 53.48 | 54.92 ± 0.59 ↑ | 39.27 ± 0.46 ↑ | 47.09 ↑ |
| iTransformer | 57.13 ± 0.62 | 47.82 ± 0.49 | 52.47 | 53.83 ± 0.56 ↑ | 39.15 ± 0.43 ↑ | 46.69 ↑ |
| TEA-GCN | 55.93 ± 0.60 | 45.10 ± 0.47 | 50.51 | 52.61 ± 0.53 ↑ | 38.99 ± 0.41 ↑ | 45.80 ↑ |
| MSSTGCN | 55.60 ± 0.59 | 44.91 ± 0.46 | 50.25 | 52.31 ± 0.52 ↑ | 38.95 ± 0.40 ↑ | 45.63 ↑ |
| WPFGPT | 53.90 ± 0.58 | 40.10 ± 0.45 | 47.00 | 50.02 ± 0.51↑ | 37.92 ± 0.39↑ | 43.97↑ |
| Model | 24 h | 48 h | ||||
|---|---|---|---|---|---|---|
| RMSE | MAE | Avg | RMSE | MAE | Avg | |
| WPFGPT (Geo) | 17.77 | 16.95 | 17.36 | 53.22 | 38.98 | 46.10 |
| WPFGPT (Dtw) | 18.90 | 15.58 | 17.24 | 53.69 | 39.13 | 46.41 |
| WPFGPT (Dynamic) | 18.98 | 16.08 | 17.53 | 50.02 | 37.93 | 43.97 |
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Xu, Z.; Kong, Y.; Shen, A. Intelligent Wind Power Forecasting for Sustainable Smart Cities. Appl. Sci. 2026, 16, 305. https://doi.org/10.3390/app16010305
Xu Z, Kong Y, Shen A. Intelligent Wind Power Forecasting for Sustainable Smart Cities. Applied Sciences. 2026; 16(1):305. https://doi.org/10.3390/app16010305
Chicago/Turabian StyleXu, Zhihao, Youyong Kong, and Aodong Shen. 2026. "Intelligent Wind Power Forecasting for Sustainable Smart Cities" Applied Sciences 16, no. 1: 305. https://doi.org/10.3390/app16010305
APA StyleXu, Z., Kong, Y., & Shen, A. (2026). Intelligent Wind Power Forecasting for Sustainable Smart Cities. Applied Sciences, 16(1), 305. https://doi.org/10.3390/app16010305

