IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v331y2025ics0360544225021395.html

A novel interpretable wind speed forecasting based on the multivariate variational mode decomposition and temporal fusion transformer

Author

Listed:
  • Xu, Rui
  • Fang, Haoyu
  • Zeng, Huanze
  • Wu, Binrong

Abstract

Accurate and efficient wind speed forecasting is essential for the stable operation of wind farm and power grids. However, the high volatility of wind speed, coupled with its correlation with local meteorological factors, makes accurate wind speed forecasting a significant challenge. To achieve precise wind speed forecasting and model interpretability, this study proposes a short-term interpretable wind speed forecasting model based on the joint decomposition of multi meteorological feature data, combined with the Temporal Fusion Transformer (TFT) and the Crested porcupine optimizer (CPO) algorithm. Initially, wind speed data and various meteorological features are input into the Multi-variant Variational Mode Decomposition (MVMD) algorithm for decomposition, resulting in multiple Intrinsic Mode Functions (IMFs). The CPO algorithm will concurrently be utilized to intelligently optimize the hyperparameters of the MVMD. Mutual Information (MI) will then be employed to select the IMFs derived from MVMD decomposition that exhibit a higher correlation with wind speed. These IMFs, along with various meteorological features, will collectively form the input data for the TFT model. Subsequently, the TFT model will be used to achieve high-precision wind speed predictions and generate interpretable results. Finally, the CPO algorithm is used to finely tune the hyper parameters of the TFT, yielding the optimal hyper parameter combination. Experimental results demonstrate that compared with other common forecasting methods, the proposed CPO-MVMD-MI-CPO-TFT model offers higher forecasting accuracy. Additionally, its interpretable results can provide robust data support for decisions related to wind farm site selection and wind turbine scheduling.

Suggested Citation

  • Xu, Rui & Fang, Haoyu & Zeng, Huanze & Wu, Binrong, 2025. "A novel interpretable wind speed forecasting based on the multivariate variational mode decomposition and temporal fusion transformer," Energy, Elsevier, vol. 331(C).
  • Handle: RePEc:eee:energy:v:331:y:2025:i:c:s0360544225021395
    DOI: 10.1016/j.energy.2025.136497
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225021395
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.136497?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Du, Pei & Yang, Dongchuan & Li, Yanzhao & Wang, Jianzhou, 2024. "An innovative interpretable combined learning model for wind speed forecasting," Applied Energy, Elsevier, vol. 358(C).
    2. Xu, Xuefang & Hu, Shiting & Shao, Huaishuang & Shi, Peiming & Li, Ruixiong & Li, Deguang, 2023. "A spatio-temporal forecasting model using optimally weighted graph convolutional network and gated recurrent unit for wind speed of different sites distributed in an offshore wind farm," Energy, Elsevier, vol. 284(C).
    3. Leng, Zhiyuan & Chen, Lu & Yi, Bin & Liu, Fanqian & Xie, Tao & Mei, Ziyi, 2025. "Short-term wind speed forecasting based on a novel KANInformer model and improved dual decomposition," Energy, Elsevier, vol. 322(C).
    4. Liu, Xiaolei & Lin, Zi & Feng, Ziming, 2021. "Short-term offshore wind speed forecast by seasonal ARIMA - A comparison against GRU and LSTM," Energy, Elsevier, vol. 227(C).
    5. Ban, Guihua & Chen, Yan & Xiong, Zhenhua & Zhuo, Yixin & Huang, Kui, 2024. "The univariate model for long-term wind speed forecasting based on wavelet soft threshold denoising and improved Autoformer," Energy, Elsevier, vol. 290(C).
    6. Ait Maatallah, Othman & Achuthan, Ajit & Janoyan, Kerop & Marzocca, Pier, 2015. "Recursive wind speed forecasting based on Hammerstein Auto-Regressive model," Applied Energy, Elsevier, vol. 145(C), pages 191-197.
    7. de Azevedo Takara, Lucas & Teixeira, Ana Clara & Yazdanpanah, Hamed & Mariani, Viviana Cocco & dos Santos Coelho, Leandro, 2024. "Optimizing multi-step wind power forecasting: Integrating advanced deep neural networks with stacking-based probabilistic learning," Applied Energy, Elsevier, vol. 369(C).
    8. Parri, Srihari & Teeparthi, Kiran & Kosana, Vishalteja, 2023. "A hybrid VMD based contextual feature representation approach for wind speed forecasting," Renewable Energy, Elsevier, vol. 219(P1).
    9. Zhang, Haipeng & Wang, Jianzhou & Qian, Yuansheng & Li, Qiwei, 2024. "Point and interval wind speed forecasting of multivariate time series based on dual-layer LSTM," Energy, Elsevier, vol. 294(C).
    10. Yang, Mao & Che, Runqi & Yu, Xinnan & Su, Xin, 2024. "Dual NWP wind speed correction based on trend fusion and fluctuation clustering and its application in short-term wind power prediction," Energy, Elsevier, vol. 302(C).
    11. Kim, Daeyoung & Ryu, Geonhwa & Moon, Chaejoo & Kim, Bumsuk, 2024. "Accuracy of a short-term wind power forecasting model based on deep learning using LiDAR-SCADA integration: A case study of the 400-MW Anholt offshore wind farm," Applied Energy, Elsevier, vol. 373(C).
    12. Yang, Ting & Yang, Zhenning & Li, Fei & Wang, Hengyu, 2024. "A short-term wind power forecasting method based on multivariate signal decomposition and variable selection," Applied Energy, Elsevier, vol. 360(C).
    13. Wang, Kejun & Qi, Xiaoxia & Liu, Hongda & Song, Jiakang, 2018. "Deep belief network based k-means cluster approach for short-term wind power forecasting," Energy, Elsevier, vol. 165(PA), pages 840-852.
    14. Ahmad, Ejaz & Khan, Dilawar & Anser, Muhammad Khalid & Nassani, Abdelmohsen A. & Hassan, Syeda Anam & Zaman, Khalid, 2024. "The influence of grid connectivity, electricity pricing, policy-driven power incentives, and carbon emissions on renewable energy adoption: Exploring key factors," Renewable Energy, Elsevier, vol. 232(C).
    15. Yang, Dongchuan & Li, Mingzhu & Guo, Ju-e & Du, Pei, 2024. "An attention-based multi-input LSTM with sliding window-based two-stage decomposition for wind speed forecasting," Applied Energy, Elsevier, vol. 375(C).
    16. Wu, Binrong & Yu, Sihao & Peng, Lu & Wang, Lin, 2024. "Interpretable wind speed forecasting with meteorological feature exploring and two-stage decomposition," Energy, Elsevier, vol. 294(C).
    17. Gong, Mingju & Yan, Changcheng & Xu, Wei & Zhao, Zhixuan & Li, Wenxiang & Liu, Yan & Li, Sheng, 2023. "Short-term wind power forecasting model based on temporal convolutional network and Informer," Energy, Elsevier, vol. 283(C).
    18. Dai, Junfeng & Fu, Li-hui, 2024. "A wind speed forecasting model using nonlinear auto-regressive model optimized by the hybrid chaos-cloud salp swarm algorithm," Energy, Elsevier, vol. 298(C).
    19. Li, Qingyang & Wang, Guosong & Wu, Xinrong & Gao, Zhigang & Dan, Bo, 2024. "Arctic short-term wind speed forecasting based on CNN-LSTM model with CEEMDAN," Energy, Elsevier, vol. 299(C).
    20. Hu, Huanling & Wang, Lin & Zhang, Dabin & Ling, Liwen, 2023. "Rolling decomposition method in fusion with echo state network for wind speed forecasting," Renewable Energy, Elsevier, vol. 216(C).
    21. Boadu, Solomon & Otoo, Ebenezer, 2024. "A comprehensive review on wind energy in Africa: Challenges, benefits and recommendations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 191(C).
    22. Liu, Lei & Wang, Xinyu & Dong, Xue & Chen, Kang & Chen, Qiuju & Li, Bin, 2024. "Interpretable feature-temporal transformer for short-term wind power forecasting with multivariate time series," Applied Energy, Elsevier, vol. 374(C).
    23. Zhang, Chu & Ma, Huixin & Hua, Lei & Sun, Wei & Nazir, Muhammad Shahzad & Peng, Tian, 2022. "An evolutionary deep learning model based on TVFEMD, improved sine cosine algorithm, CNN and BiLSTM for wind speed prediction," Energy, Elsevier, vol. 254(PA).
    24. Moreno, Sinvaldo Rodrigues & Seman, Laio Oriel & Stefenon, Stefano Frizzo & Coelho, Leandro dos Santos & Mariani, Viviana Cocco, 2024. "Enhancing wind speed forecasting through synergy of machine learning, singular spectral analysis, and variational mode decomposition," Energy, Elsevier, vol. 292(C).
    25. Liang, Yang & Zhang, Dongqin & Zhang, Jize & Hu, Gang, 2024. "A state-of-the-art analysis on decomposition method for short-term wind speed forecasting using LSTM and a novel hybrid deep learning model," Energy, Elsevier, vol. 313(C).
    26. Lim, Bryan & Arık, Sercan Ö. & Loeff, Nicolas & Pfister, Tomas, 2021. "Temporal Fusion Transformers for interpretable multi-horizon time series forecasting," International Journal of Forecasting, Elsevier, vol. 37(4), pages 1748-1764.
    27. Wu, Binrong & Wang, Lin & Zeng, Yu-Rong, 2022. "Interpretable wind speed prediction with multivariate time series and temporal fusion transformers," Energy, Elsevier, vol. 252(C).
    28. Zheng, Peijun & Zhou, Heng & Liu, Jiang & Nakanishi, Yosuke, 2023. "Interpretable building energy consumption forecasting using spectral clustering algorithm and temporal fusion transformers architecture," Applied Energy, Elsevier, vol. 349(C).
    29. Wang, Yun & Zou, Runmin & Liu, Fang & Zhang, Lingjun & Liu, Qianyi, 2021. "A review of wind speed and wind power forecasting with deep neural networks," Applied Energy, Elsevier, vol. 304(C).
    30. Wu, Binrong & Wang, Lin, 2024. "Two-stage decomposition and temporal fusion transformers for interpretable wind speed forecasting," Energy, Elsevier, vol. 288(C).
    31. Baggio, Roberta & Muzy, Jean-François, 2024. "Improving probabilistic wind speed forecasting using M-Rice distribution and spatial data integration," Applied Energy, Elsevier, vol. 360(C).
    32. Capelletti, Marco & Raimondo, Davide M. & De Nicolao, Giuseppe, 2024. "Wind power curve modeling: A probabilistic Beta regression approach," Renewable Energy, Elsevier, vol. 223(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zeng, Huanze & Wu, Binrong & Fang, Haoyu & Lin, Jiacheng, 2025. "Interpretable wind speed forecasting through two-stage decomposition with comprehensive relative importance analysis," Applied Energy, Elsevier, vol. 392(C).
    2. Mi, Lihua & Han, Yan & Long, Lizhi & Chen, Hui & Cai, C.S., 2025. "A physics-informed temporal convolutional network-temporal fusion transformer hybrid model for probabilistic wind speed predictions with quantile regression," Energy, Elsevier, vol. 326(C).
    3. Wu, Binrong & Yu, Sihao & Peng, Lu & Wang, Lin, 2024. "Interpretable wind speed forecasting with meteorological feature exploring and two-stage decomposition," Energy, Elsevier, vol. 294(C).
    4. Shang, Zhihao & Chen, Yanhua & Wen, Quan & Ruan, Xiaolong, 2025. "Multi-step ahead wind speed forecasting approach coupling PSR, NNCT-based multi-model fusion and a new optimization algorithm," Renewable Energy, Elsevier, vol. 238(C).
    5. Cai, Xiangjun & Li, Dagang & Zou, Yuntao & Liu, Zhichun & Heidari, Ali Asghar & Chen, Huiling, 2025. "A hybrid wind speed forecasting model with rolling mapping decomposition and temporal convolutional networks," Energy, Elsevier, vol. 324(C).
    6. Niu, Zhewen & Han, Xiaoqing & Zhang, Dongxia & Wu, Yuxiang & Lan, Songyan, 2024. "Interpretable wind power forecasting combining seasonal-trend representations learning with temporal fusion transformers architecture," Energy, Elsevier, vol. 306(C).
    7. Cheng, Runkun & Yang, Di & Liu, Da & Zhang, Guowei, 2024. "A reconstruction-based secondary decomposition-ensemble framework for wind power forecasting," Energy, Elsevier, vol. 308(C).
    8. Leng, Zhiyuan & Chen, Lu & Yi, Bin & Liu, Fanqian & Xie, Tao & Mei, Ziyi, 2025. "Short-term wind speed forecasting based on a novel KANInformer model and improved dual decomposition," Energy, Elsevier, vol. 322(C).
    9. Wu, Binrong & Lin, Jiacheng & Liu, Rui & Wang, Lin, 2026. "A multi-dimensional interpretable wind speed forecasting model with two-stage feature exploring," Renewable Energy, Elsevier, vol. 256(PB).
    10. Wang, Sen & Sun, Yonghui & Zhang, Wenjie & Srinivasan, Dipti, 2025. "Optimization of deterministic and probabilistic forecasting for wind power based on ensemble learning," Energy, Elsevier, vol. 319(C).
    11. Fu, Zhengze & Qian, Hongliang & Chu, Xuanxuan & Yang, Fan & Guo, Chengchao & Wang, Fuming, 2025. "Hybrid ultra-short-term wind speed forecasting model based on improved BO-HMA-BiGRU and GMBInformer: Integrating SVMD-SWT dual decomposition and MPE-driven modeling mechanism," Energy, Elsevier, vol. 339(C).
    12. Zeng, Huanze & Shi, Chenlu & Fang, Haoyu & Wu, Binrong, 2025. "Interpretable multivariate wind speed forecasting using sliding masked window-based decomposition and deep autoregressive networks," Energy, Elsevier, vol. 341(C).
    13. Gang Li & Chen Lin & Yupeng Li, 2025. "Probabilistic Forecasting of Provincial Regional Wind Power Considering Spatio-Temporal Features," Energies, MDPI, vol. 18(3), pages 1-17, January.
    14. Xing, Qianyi & Huang, Xiaojia & Wang, Kang & Wang, Jianzhou & Wang, Shuai, 2025. "MIG-EWPFS: An ensemble probabilistic wind speed forecasting system integrating multi-dimensional feature extraction, hybrid quantile regression, and Knee improved multi-objective optimization," Energy, Elsevier, vol. 324(C).
    15. Shi, Zhihan & Zhang, Guangming & Lu, Chao & Zhou, Xiaoxiong & Lv, Xiaodong, 2025. "Dynamic Spatio-Temporal Graph-Enhanced KANformer for high-fidelity ultra-short-term wind power forecasting," Energy, Elsevier, vol. 337(C).
    16. Ullah, Sajid & Chen, Xi & Han, Han & Wu, Junhao & Dong, Jinghan & Liu, Ruiqing & Ding, Weijie & Liu, Min & Li, Qingli & Qi, Honggang & Huang, Yonggui & Yu, Philip Lh, 2025. "A novel hybrid ensemble approach for wind speed forecasting with dual-stage decomposition strategy using optimized GRU and transformer models," Energy, Elsevier, vol. 329(C).
    17. Liang, Yang & Zhang, Dongqin & Zhang, Jize & Hu, Gang, 2024. "A state-of-the-art analysis on decomposition method for short-term wind speed forecasting using LSTM and a novel hybrid deep learning model," Energy, Elsevier, vol. 313(C).
    18. Wang, Hexian & Guo, Dongjie & Wang, Lingmei & Zhou, Tongming & Jia, Chengzhen & Liu, Yushan, 2025. "A novel frequency sparse downsampling interaction transformer for wind power forecasting," Energy, Elsevier, vol. 326(C).
    19. Du, Pei & Yang, Dongchuan & Li, Yanzhao & Wang, Jianzhou, 2024. "An innovative interpretable combined learning model for wind speed forecasting," Applied Energy, Elsevier, vol. 358(C).
    20. Qu, Kai & Xue, Shuangsi & Zheng, Xiaodong & Yan, Dapeng & Cao, Hui, 2026. "Learning dynamic inter-farm dependencies for wind power forecasting via adaptive sparse graph attention network," Renewable Energy, Elsevier, vol. 258(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:331:y:2025:i:c:s0360544225021395. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.