IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v18y2025i13p3572-d1696269.html

Photovoltaic Power Forecasting Based on Variational Mode Decomposition and Long Short-Term Memory Neural Network

Author

Listed:
  • Zhijian Hou

    (School of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, Shenzhen 518055, China)

  • Yunhui Zhang

    (School of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, Shenzhen 518055, China)

  • Xuemei Cheng

    (School of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, Shenzhen 518055, China
    School of Optical Information and Energy Engineering, Wuhan Institute of Technology, Wuhan 430200, China)

  • Xiaojiang Ye

    (School of Optical Information and Energy Engineering, Wuhan Institute of Technology, Wuhan 430200, China)

Abstract

The accurate forecasting of photovoltaic (PV) power is vital for grid stability. This paper presents a hybrid forecasting model that combines Variational Mode Decomposition (VMD) and Long Short-Term Memory (LSTM). The model uses VMD to decompose the PV power into modal components and residuals. These components are combined with meteorological variables and their first-order differences, and feature extraction techniques are used to generate multiple sets of feature vectors. These vectors are utilized as inputs for LSTM sub-models, which predict the modal components and residuals. Finally, the aggregation of prediction results is used to achieve the PV power prediction. Validated on Australia’s 1.8 MW Yulara PV plant, the model surpasses 13 benchmark models, achieving an MAE of 63.480 kW, RMSE of 81.520 kW, and R 2 of 92.3%. Additionally, the results of a paired t -test showed that the mean differences in the MAE and RMSE were negative, and the 95% confidence intervals for the difference did not include zero, indicating statistical significance. To further evaluate the model’s robustness, white noise with varying levels of signal-to-noise ratios was introduced to the photovoltaic power and global radiation signals. The results showed that the model exhibited higher prediction accuracy and better noise tolerance compared to other models.

Suggested Citation

  • Zhijian Hou & Yunhui Zhang & Xuemei Cheng & Xiaojiang Ye, 2025. "Photovoltaic Power Forecasting Based on Variational Mode Decomposition and Long Short-Term Memory Neural Network," Energies, MDPI, vol. 18(13), pages 1-28, July.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:13:p:3572-:d:1696269
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/18/13/3572/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/18/13/3572/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Li, Jiaqian & Rao, Congjun & Gao, Mingyun & Xiao, Xinping & Goh, Mark, 2025. "Efficient calculation of distributed photovoltaic power generation power prediction via deep learning," Renewable Energy, Elsevier, vol. 246(C).
    2. Fu, Jiaqian & Sun, Yuying & Li, Yunhe & Wang, Wei & Wei, Wenzhe & Ren, Jinyang & Han, Shulun & Di, Haoran, 2025. "An investigation of photovoltaic power forecasting in buildings considering shadow effects: Modeling approach and SHAP analysis," Renewable Energy, Elsevier, vol. 245(C).
    3. Mayer, Martin János, 2022. "Benefits of physical and machine learning hybridization for photovoltaic power forecasting," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    4. Mellit, A. & Pavan, A. Massi & Lughi, V., 2021. "Deep learning neural networks for short-term photovoltaic power forecasting," Renewable Energy, Elsevier, vol. 172(C), pages 276-288.
    5. Tang, Huadu & Kang, Fei & Li, Xinyu & Sun, Yong, 2025. "Short-term photovoltaic power prediction model based on feature construction and improved transformer," Energy, Elsevier, vol. 320(C).
    6. Jesús Polo & Nuria Martín-Chivelet & Miguel Alonso-Abella & Carlos Sanz-Saiz & José Cuenca & Marina de la Cruz, 2023. "Exploring the PV Power Forecasting at Building Façades Using Gradient Boosting Methods," Energies, MDPI, vol. 16(3), pages 1-12, February.
    7. Su-Chang Lim & Jun-Ho Huh & Seok-Hoon Hong & Chul-Young Park & Jong-Chan Kim, 2022. "Solar Power Forecasting Using CNN-LSTM Hybrid Model," Energies, MDPI, vol. 15(21), pages 1-17, November.
    8. VanDeventer, William & Jamei, Elmira & Thirunavukkarasu, Gokul Sidarth & Seyedmahmoudian, Mehdi & Soon, Tey Kok & Horan, Ben & Mekhilef, Saad & Stojcevski, Alex, 2019. "Short-term PV power forecasting using hybrid GASVM technique," Renewable Energy, Elsevier, vol. 140(C), pages 367-379.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Yanmei & Zhang, Yi & Yin, Minghao, 2026. "Physics-informed Mamba network for ultra-short-term photovoltaic power forecasting: integrating WGAN-GP augmentation and CEEMDAN-SST decomposition," Renewable Energy, Elsevier, vol. 257(C).

    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. Sarmas, Elissaios & Spiliotis, Evangelos & Stamatopoulos, Efstathios & Marinakis, Vangelis & Doukas, Haris, 2023. "Short-term photovoltaic power forecasting using meta-learning and numerical weather prediction independent Long Short-Term Memory models," Renewable Energy, Elsevier, vol. 216(C).
    2. Zheng, Lingwei & Su, Ran & Sun, Xinyu & Guo, Siqi, 2023. "Historical PV-output characteristic extraction based weather-type classification strategy and its forecasting method for the day-ahead prediction of PV output," Energy, Elsevier, vol. 271(C).
    3. Honglin Xue & Junwei Ma & Jianliang Zhang & Penghui Jin & Jian Wu & Feng Du, 2024. "Power Forecasting for Photovoltaic Microgrid Based on MultiScale CNN-LSTM Network Models," Energies, MDPI, vol. 17(16), pages 1-13, August.
    4. Habib, Md. Ahasan & Hossain, M.J., 2024. "Advanced feature engineering in microgrid PV forecasting: A fast computing and data-driven hybrid modeling framework," Renewable Energy, Elsevier, vol. 235(C).
    5. Wang, Yong & Yan, Gaowei & Xiao, Shuyi & Ren, Mifeng & Cheng, Lan & Zhu, Zhujun, 2025. "Day-ahead solar irradiance prediction based on multi-feature perspective clustering," Energy, Elsevier, vol. 320(C).
    6. Rai, Amit & Shrivastava, Ashish & Jana, Kartick C., 2023. "Differential attention net: Multi-directed differential attention based hybrid deep learning model for solar power forecasting," Energy, Elsevier, vol. 263(PC).
    7. Verdone, Alessio & Panella, Massimo & De Santis, Enrico & Rizzi, Antonello, 2025. "A review of solar and wind energy forecasting: From single-site to multi-site paradigm," Applied Energy, Elsevier, vol. 392(C).
    8. Wang, Weiru & Guo, Hanyang & Liu, Shaofeng & Xin, Yechun & Li, Guoqing & Wang, Yanxu, 2025. "Dynamic-parameter physics-informed neural networks for short-term photovoltaic power prediction: Integrating physics-informed and data driven," Applied Energy, Elsevier, vol. 401(PC).
    9. Cao, Yisheng & Liu, Gang & Luo, Donghua & Bavirisetti, Durga Prasad & Xiao, Gang, 2023. "Multi-timescale photovoltaic power forecasting using an improved Stacking ensemble algorithm based LSTM-Informer model," Energy, Elsevier, vol. 283(C).
    10. Li, Baojie & Chen, Xin & Jain, Anubhav, 2024. "Power modeling of degraded PV systems: Case studies using a dynamically updated physical model (PV-Pro)," Renewable Energy, Elsevier, vol. 236(C).
    11. Aiwen Shen & Yunqi Lin & Yiran Peng & KinTak U & Siyuan Zhao, 2025. "DSC-CBAM-BiLSTM: A Hybrid Deep Learning Framework for Robust Short-Term Photovoltaic Power Forecasting," Mathematics, MDPI, vol. 13(16), pages 1-15, August.
    12. Yang, Mao & Guo, Zhenpeng & Wang, Da & Wang, Bo & Wang, Zhao & Huang, Tao, 2026. "Short-term photovoltaic power forecasting method considering historical information reuse and numerical weather forecasting," Renewable Energy, Elsevier, vol. 256(PB).
    13. Zhang, Ruoyang & Wu, Yu & Zhang, Lei & Xu, Chongbin & Wang, ZeYu & Zhang, Yanfeng & Sun, Xiaomin & Zuo, Xin & Wu, Yuhan & Chen, Qian, 2025. "A multiscale network with mixed features and extended regional weather forecasts for predicting short-term photovoltaic power," Energy, Elsevier, vol. 318(C).
    14. Sabadus, Andreea & Blaga, Robert & Hategan, Sergiu-Mihai & Calinoiu, Delia & Paulescu, Eugenia & Mares, Oana & Boata, Remus & Stefu, Nicoleta & Paulescu, Marius & Badescu, Viorel, 2024. "A cross-sectional survey of deterministic PV power forecasting: Progress and limitations in current approaches," Renewable Energy, Elsevier, vol. 226(C).
    15. Wang, Tao & Xu, Ye & Qin, Yu & Wang, Xu & Zheng, Feifan & Li, Wei, 2025. "Short-term PV forecasting of multiple scenarios based on multi-dimensional clustering and hybrid transformer-BiLSTM with ECPO," Energy, Elsevier, vol. 334(C).
    16. 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).
    17. Yu, Sheng & He, Bin & Fang, Lei, 2025. "Multi-step short-term forecasting of photovoltaic power utilizing TimesNet with enhanced feature extraction and a novel loss function," Applied Energy, Elsevier, vol. 388(C).
    18. Mayer, Martin János & Yang, Dazhi & Szintai, Balázs, 2023. "Comparing global and regional downscaled NWP models for irradiance and photovoltaic power forecasting: ECMWF versus AROME," Applied Energy, Elsevier, vol. 352(C).
    19. 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.
    20. Tao, Kejun & Zhao, Jinghao & Tao, Ye & Qi, Qingqing & Tian, Yajun, 2024. "Operational day-ahead photovoltaic power forecasting based on transformer variant," Applied Energy, Elsevier, vol. 373(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:gam:jeners:v:18:y:2025:i:13:p:3572-:d:1696269. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.