The global imperative for decarbonization has reaffirmed the nuclear energy’s role as a low-carbon baseload source, contingent on robust safety assurances. The shift toward Passive System System (PSS), which utilize natural phenomena like gravity and natural circulation enhances resilience but poses unique reliability challenges. Conventional Probabilistic Risk Assessment (PRA) inadequately models functional failure, where performance degrades due to uncertain physical phenomena despite all components operational, and struggles with dominant epistemic uncertainties in novel designs. This review synthesizes methodological advances, tracing the evaluation from computationally intensive first-generation framework (e.g., RMPS/ASPRA) to machine learning-driven paradigm integrating AI-based surrogate models (e.g., Kriging, Polynomial Chaos Expansion, Physics-Informed Neural Networks). These enable efficient quantification of functional failure probabilities, epistemic uncertainty mapping via Bayesian and adaptive sampling, and revelation of time-dependent risk pathways via Dynamic PRA (DPRA) invisible to static methods. However, the irreplaceable role of machine learning in addressing computational bottleneck introduces new issues, including “black-box” opacity, regulatory challeges for licensing, hybrid active–passive system integration, data scarcity for Gene III+, SMR, Gen-IV designs, and long-term material degradation effects. We conclude that PSS reliability hinges on Explainable AI (XAI) to demystify models, standardized validation protocol, integrated cyber-physical-security framework. This transformation, particularly through Physics-Informed Machine Learning tools like PINNs, is essential to generate the rigorous, regulatory-acceptance evidence needed for licensing and deploying advanced reactors.
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