Journal of Zhejiang University SCIENCE A 2026 Vol.27 No.8 P.837-851

http://doi.org/10.1631/jzus.A2500344


Hierarchical learning method for array flow field prediction integrated with a deep neural network


Author(s):  Shanxun SUN,Zijiang XU,Zhuoheng WANG,Shuangshuang CUI,Ting HE,Yang CAI

Affiliation(s):  1. Energy and Electricity Research Center, Jinan University, Zhuhai 519070, China more

Corresponding email(s):   heting@jnu.edu.cnthomascai301@163.com

Key Words:  Hierarchical learning, Integrated deep neural network, Wind farms, Ultra-short-term wake prediction


Shanxun SUN, Zijiang XU, Zhuoheng WANG, Shuangshuang CUI, Ting HE, Yang CAI. Hierarchical learning method for array flow field prediction integrated with a deep neural network[J]. Journal of Zhejiang University Science A, 2026, 27(8): 837-851.

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author="Shanxun SUN, Zijiang XU, Zhuoheng WANG, Shuangshuang CUI, Ting HE, Yang CAI",
journal="Journal of Zhejiang University Science A",
volume="27",
number="8",
pages="837-851",
year="2026",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2500344"
}

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%A Shanxun SUN
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%A Ting HE
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Abstract: 
Real-time and accurate dynamic wake information is essential for wind resource assessment and the optimization of wind farm operations. To further understand the wake characteristics of wind turbines, we propose a hierarchical learning approach integrated with a deep neural network-based prediction method. The integrated framework combines physical and mathematical models, enabling 3D spatiotemporal wind field predictions with minimal measured data requirements. Evaluation and validation results demonstrate that the proposed method achieves accurate ultra-short-term wake predictions across the entire domain with minimal prediction errors. Compared with conventional methods, the proposed hierarchical learning framework markedly lowers the training-data requirements of physics-informed neural networks for large-scale flow-field prediction while maintaining high accuracy. In addition, it demonstrates superior performance in both local and global wake forecasts, offering practical insights for efficient turbine operation and wake analysis.

基于分层学习与深度神经网络的阵列流场预测方法

作者:孙单勋1,徐资江1,王卓恒1,崔双双2,何婷1,蔡阳1
机构:1暨南大学,能源电力研究中心,中国珠海,519070;2粤港澳大湾区气象智能装备研究中心,中国广州,510530
目的:实时、准确地获取动态尾流信息对于风电场的风资源评估和运行优化至关重要。本文旨在提出一种高精度、低数据依赖的风电场尾流预测方法,以解决现有方法在预测精度与计算效率之间的矛盾。
创新点:1.提出了一种集成深度神经网络的分层学习框架;通过结合物理模型(Navier-Stokes方程)与数据驱动模型,实现了对风电场三维时空流场的精准预测。2.基于流场加速度进行分层采样:对高动态区域保留全部数据,而对变化平缓区域进行稀疏采样,从而显著降低了物理信息神经网络(PINN)对大规模流场预测的训练数据需求。
方法:1.基于PINN构建集成框架,其包含用于拟合数据的数据神经网络(Data-NN)和嵌入Navier-Stokes方程作为物理约束的偏微分方程神经网络(PDE-NN);2.采用基于加速度阈值的数据分层采样策略,将处理后的数据分别输入小尺度PINN(学习局部变化)与大尺度PINN(学习全局趋势),并最终融合为一个网络进行联合训练;3.利用OpenFOAM软件进行高保真大涡模拟(LES),并将12台NREL 5MW风电机组阵列的尾流数据作为训练集,然后通过添加高斯噪声模拟实测数据;4.将所提方法与多层感知机(MLP)和卷积神经网络(CNN)进行对比,并采用最大误差(MaxE)、最小误差(MinE)、平均绝对误差(MAE)、平均相对误差(MRE)和均方根误差(RMSE)等指标评估预测性能。
结论:1.提出的分层学习模型能够有效学习风电场的高动态变化区域与全局流动规律,从而实现了对机组阵列尾流场的高精度重建;在尾流效应显著或阻塞效应强烈的区域,模型依然能准确捕捉风速的剧烈变化与湍流结构。2.该方法在显著降低了训练数据量的同时,提升了预测的物理一致性与时空泛化能力,为大型风电场,特别是海上及复杂地形风电场的尾流分析和实时控制提供了可靠的技术支撑。

关键词:分层学习;集成深度神经网络;风电场;超短期尾流预测

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Full Text:   <1221>

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On-line Access: 2026-09-03

Received: 2025-07-24

Revision Accepted: 2025-12-29

Crosschecked: 0000-00-00

Cited: 0

Clicked: 1510

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Shanxun SUN

https://orcid.org/0000-0001-9297-685X

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