基于VMD-Transformer-LSTM-XGBoost的短期风电机组出力混合预测模型
A Short-Term Wind Power Forecasting Method Based on VMD-Transformer-LSTM-XGBoost
DOI: 10.12677/sa.2026.151025, PDF,    科研立项经费支持
作者: 马虎林, 马子旭, 朱新彧, 施雅蓉:中广核甘肃民勤第二风力发电有限公司,甘肃 武威;李文清, 刘志月, 赵学靖*:兰州大学数学与统计学院,甘肃 兰州;王 健:甘肃轩岳生态科技有限公司,甘肃 兰州
关键词: 风电功率预测变分模态分解TransformerLSTMXGBoost多尺度分析Wind Power Forecasting VMD Transformer LSTM XGBoost Multiscale Analysis
摘要: 风电功率时间序列具有明显的非平稳性和多尺度波动特征,使高精度短期预测面临较大挑战。针对传统模型难以同时刻画趋势、周期及高频扰动等不同时间尺度结构的问题,本文提出一种融合自适应变分模态分解(VMD)、模糊熵复杂度分析、Transformer-LSTM深度特征提取与XGBoost回归的两阶段短期风电功率预测方法。首先,以理论功率序列为分解对象,通过贝叶斯优化在训练集上自适应确定VMD的模态数与惩罚参数,并采用严格的零数据泄露策略。随后,利用模糊熵度量各IMF的复杂度特征,将其重构为低频趋势、中频周期与高频扰动三类协同模态(Co-IMFs),以增强输入特征的物理可解释性与稳定性。在特征提取阶段,构建融合Transformer全局依赖建模能力与LSTM局部时序记忆能力的DeepBlock网络,并通过贝叶斯优化确定其最优结构与训练参数,最终由XGBoost完成非线性回归预测。基于甘肃瓜州某风电场2023~2025年15分钟分辨率数据的实验结果表明,所提出方法在MAE、RMSE与R²等指标上均优于多种基准模型及消融模型,验证了该两阶段多尺度混合框架在复杂风电功率预测任务中的有效性。
Abstract: Wind power time series exhibit pronounced non-stationarity and multiscale fluctuations, posing significant challenges for high-accuracy short-term forecasting. To address the difficulty of conventional models in simultaneously capturing trend, periodic, and high-frequency components, this study proposes a two-stage short-term wind power forecasting framework integrating adaptive Variational Mode Decomposition (VMD), fuzzy-entropy-based complexity analysis, Transformer-LSTM deep feature extraction, and XGBoost regression. Theoretical power is first selected as the decomposition target, and the VMD mode number and penalty parameter are adaptively determined on the training set via Bayesian optimization under a strict zero-data-leakage strategy. The intrinsic mode functions (IMFs) are then reconstructed into three collaborative components—low-frequency trend, mid-frequency periodicity, and high-frequency disturbance—based on fuzzy entropy, enhancing the interpretability and stability of the input features. A DeepBlock network combining Transformer-based global dependency modeling and LSTM-based local temporal learning is employed for feature extraction, followed by XGBoost to perform nonlinear regression. Experiments conducted on 15-minute resolution data from a wind farm in Guazhou, Gansu Province (2023~2025) demonstrate that the proposed method consistently outperforms multiple benchmark and ablation models in terms of MAE, RMSE, and R², validating the effectiveness of the proposed multiscale two-stage forecasting framework.
文章引用:马虎林, 李文清, 刘志月, 马子旭, 朱新彧, 王健, 施雅蓉, 赵学靖. 基于VMD-Transformer-LSTM-XGBoost的短期风电机组出力混合预测模型[J]. 统计学与应用, 2026, 15(1): 265-282. https://doi.org/10.12677/sa.2026.151025

参考文献

[1] Ackermann, T. and Söder, L. (2002) Wind Energy Technology and Current Status: A Review. Renewable and Sustainable Energy Reviews, 6, 67-127.
[2] International Energy Agency (IEA) (2023) World Energy Outlook 2023. IEA.
[3] 陈启鑫, 吕睿可, 郭鸿业, 等. 面向需求响应的电力用户行为建模: 研究现状与应用[J]. 电力自动化设备, 2023, 43(10): 23-37.
[4] Zhang, Z., Liu, H. and Zhu, Y. (2021) A Review on Wind Power Prediction Methods Based on Deep Learning and Big Data. Frontiers in Energy Research, 9, Article ID: 682180.
[5] 张耀聪. 基于深度学习神经网络的可再生能源“源荷”预测研究[D]: [硕士学位论文]. 兰州: 兰州理工大学, 2023.
[6] Lim, B., Arik, S.O., Loeff, N. and Pfister, T. (2021) Temporal Fusion Transformers for Interpretable Multi-Horizon Time-Series Forecasting. Nature Machine Intelligence, 3, 182-193.
[7] 黄坤鹏. 风电功率超短期预测及可用发电功率计算[D]: [硕士学位论文]. 北京: 北京交通大学, 2022.
[8] Liu, Z. and Zhao, X. (2026) LSTM-Transformer with Decomposition-Reconstruction for Enhanced Solar Irradiance Forecasting Incorporating Meteorological Variables. Renewable Energy, 258, Article 124971. [Google Scholar] [CrossRef
[9] Li, J., Wang, J. and Han, X. (2020) Short-Term Wind Power Prediction Based on Improved LSTM Model. Energy, 190, Article 116400.
[10] Zheng, K., Wang, D., Li, L., et al. (2021) A Hybrid Wind Power Forecasting Model Using CNN-LSTM and Attention Mechanism. Applied Energy, 301, Article 117502.
[11] Dragomiretskiy, K. and Zosso, D. (2014) Variational Mode Decomposition. IEEE Transactions on Signal Processing, 62, 531-544. [Google Scholar] [CrossRef
[12] 王宏伟, 赵鑫, 张子龙, 等. 基于VMD和LSTM的短期风电功率预测研究[J]. 太阳能学报, 2021, 42(12): 3052-3061.
[13] Wang, J., Liu, H. and Tian, H. (2020) Wind Speed Forecasting Based on EMD and Deep Learning. Energy Conversion and Management, 208, Article 112599.
[14] Li, Z., Liu, B. and Liu, Y. (2021) Hybrid VMD-LSTM Model for Short-Term Wind Speed Forecasting. Energy Reports, 7, 2563-2575.
[15] Liu, H. and Tian, H. (2018) Hybrid Forecasting Model Based on EMD and XGBoost for Wind Speed Prediction. Renewable Energy, 126, 766-781.
[16] Zhang, Y., Wang, P. and Zhang, J. (2022) Wind Power Forecasting Based on Variational Mode Decomposition and Deep Learning Hybrid Model. Applied Energy, 323, Article 119654.
[17] Zhou, H., Zhang, S., Peng, J., Zhang, S., Li, J., Xiong, H., et al. (2021) Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecasting. Proceedings of the AAAI Conference on Artificial Intelligence, 35, 11106-11115. [Google Scholar] [CrossRef
[18] 宋立新, 刘志伟, 王琦, 等. 基于Transformer的多步风功率预测模型[J]. 电力系统自动化, 2022, 46(15): 127-136.
[19] Wang, H., Zhang, Y., Chen, Z., et al. (2022) A Hybrid Model Combining LSTM and XGBoost for Short-Term Load Forecasting. Energy, 239, Article 122293.
[20] 李文斌, 贾旭东, 梁志鹏, 等. 基于VMD-Transformer-XGBoost的混合风电功率预测方法[J]. 电网技术, 2023, 47(8): 2862-2874.
[21] Chen, T. and Guestrin, C. (2016) XGBoost: A Scalable Tree Boosting System. Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, 13-17 August 2016, 785-794. [Google Scholar] [CrossRef
[22] Liu, H., Wang, Y. and Zhang, Z. (2023) Hybrid VMD-CNN-LSTM-XGBoost Model for Wind Power Forecasting. Energy Conversion and Management, 282, Article 116909.
[23] Bergstra, J., Yamins, D. and Cox, D.D. (2013) Hyperopt: A Python Library for Optimizing the Hyperparameters of Machine Learning Algorithms. Proceedings of the 12th Python in Science Conference (SciPy 2013), Austin, Texas, 24-29 June 2013, 13-20. [Google Scholar] [CrossRef
[24] Snoek, J., Larochelle, H. and Adams, R.P. (2012) Practical Bayesian Optimization of Machine Learning Algorithms. Advances in Neural Information Processing Systems (NIPS), 25, 2951-2959.
[25] 邢伟, 周涛, 张晨. 基于贝叶斯优化的XGBoost风电预测模型[J]. 可再生能源, 2020, 38(9): 1325-1332.