Advancing nuclear energy safety via hybrid stacking models: Integrating physics-informed machine learning and traditional AI for critical heat flux prediction

Critical heat flux (CHF) sets the primary thermal-safety limit in water-cooled reactors, yet conventional look-up tables (LUT) and mechanistic correlations degrade when extrapolated to high-pressure, high-mass-flux conditions. This study embeds a Groeneveld-type LUT in a physics-informed machine-learning (PIML) framework and applies stacked generalization to correct its residuals. Four Bayesian-optimized base learners generate hybrid predictions whose errors feed single (St1) and double-layer (St2) stacks. Training on 24,579 OECD-NEA/NRC measurements spanning 0.1–20 MPa, 8–7964 kg⸱m −2 ⸱s −1 and 2–16 mm channels, the best five-input St1 model attains MAE = 0.095, RMSE = 0.167, rRMSE = 9.24 % and R 2 = 0.989 under five-fold cross-validation. Transfer-learning tests on unseen operating maps confirm strong extrapolation, while pruning a weak branch further enhances robustness. The resulting hybrid-stacking tool is fast, interpretable, and highly accurate, offering enlarged thermal margins for advanced reactor design and real-time safety monitoring.

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Publication Details

Journal
Progress in Nuclear Energy
Published
2026-03-02
DOI
https://doi.org/10.1016/j.pnucene.2026.106326
Primary Topic
Model Reduction and Neural Networks
Type
article
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article

Advancing nuclear energy safety via hybrid stacking models: Integrating physics-informed machine learning and traditional AI for critical heat flux prediction

Bing Tan, Honglu Wu, Jiyun Zhao, Changduo Zhang
Progress in Nuclear Energy
Model Reduction and Neural Networks
article

Advancing nuclear energy safety via hybrid stacking models: Integrating physics-informed machine learning and traditional AI for critical heat flux prediction

Bing Tan, Honglu Wu, Jiyun Zhao, Changduo Zhang
article en

Abstract

Critical heat flux (CHF) sets the primary thermal-safety limit in water-cooled reactors, yet conventional look-up tables (LUT) and mechanistic correlations degrade when extrapolated to high-pressure, high-mass-flux conditions. This study embeds a Groeneveld-type LUT in a physics-informed machine-learning (PIML) framework and applies stacked generalization to correct its residuals. Four Bayesian-optimized base learners generate hybrid predictions whose errors feed single (St1) and double-layer (St2) stacks. Training on 24,579 OECD-NEA/NRC measurements spanning 0.1–20 MPa, 8–7964 kg⸱m −2 ⸱s −1 and 2–16 mm channels, the best five-input St1 model attains MAE = 0.095, RMSE = 0.167, rRMSE = 9.24 % and R 2 = 0.989 under five-fold cross-validation. Transfer-learning tests on unseen operating maps confirm strong extrapolation, while pruning a weak branch further enhances robustness. The resulting hybrid-stacking tool is fast, interpretable, and highly accurate, offering enlarged thermal margins for advanced reactor design and real-time safety monitoring.

Progress in Nuclear EnergyVol. 195
Harbin Engineering University (CN), City University of Hong Kong (HK), Fuzhou University (CN)
Affordable and clean energy
Openalex Percentile: Top 37%
Model Reduction and Neural Networks
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Advancing nuclear energy safety via hybrid stacking models: Integrating physics-informed machine learning and traditional AI for critical heat flux prediction — Bing Tan, Honglu Wu, et al. · Progress in Nuclear Energy (2026) | TGRS Research Map | TGRS