thermal feedback

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• Published Subscription Review Article 27 Oct 2026

  Mathematical Derivation and Stability Analysis of a Coupled Neutron Kinetics–Thermal Feedback Model for Nuclear Reactor Safety

  By Sidhartha Kumar Samal, Rosalin Pradhan, Bibhu Prasad Ganthia

  Abstract: Nuclear reactor safety assessment requires accurate characterization of the coupled interaction between neutron population dynamics and thermal feedback during steady-state operation and transient conditions. This study develops a mathematically derived coupled neutron kinetics–thermal feedback model for analysing reactor stability and transient behaviour. The formulation integrates point reactor kinetics with delayed-neutron precursor dynamics, fuel-temperature evolution, coolant- temperature variation, and temperature-dependent reactivity feedback. The reactor is represented as a nonlinear dynamical system …

  Published in Journal of Nuclear Engineering & Technology · Vol. 16, Issue 2, 2026 Read article →