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March 5, 2026Progress in Nuclear Energy0 citationsOpen Access

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

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CZChangduo ZhangHWHonglu WuBTBing Tan

Key Points

  • The research aims to improve predictions of critical heat flux in nuclear reactors under extreme conditions using advanced machine learning techniques.
  • Developed a hybrid stacking model combining traditional look-up tables and physics-informed machine learning.
  • Utilized Bayesian optimization for four base learners to enhance prediction accuracy.
  • Employed training on a large dataset comprised of OECD-NEA/NRC measurements under varying conditions.
  • Conducted transfer-learning tests to evaluate model performance on unseen data.
  • Achieved a mean absolute error (MAE) of 0.095 and a coefficient of determination (R²) of 0.989 with the best model.
  • Demonstrated strong extrapolation capabilities in transfer-learning scenarios.
  • Enhanced model robustness through strategic pruning of less effective elements.

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.

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Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/69a91d21d6127c7a504bfe13https://doi.org/10.1016/j.pnucene.2026.106326
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