Preprint Technical Note Version 1 Preserved in Portico This version is not peer-reviewed

On Singular Perturbation of Neutron Point Kinetics in the Dynamic Model of a PWR Nuclear Power Plant

Version 1 : Received: 13 March 2020 / Approved: 11 April 2020 / Online: 26 April 2020 (00:00:00 CEST)

A peer-reviewed article of this Preprint also exists.

Chen, X.; Ray, A. On Singular Perturbation of Neutron Point Kinetics in the Dynamic Model of a PWR Nuclear Power Plant. Sci 2020, 2, 36. Chen, X.; Ray, A. On Singular Perturbation of Neutron Point Kinetics in the Dynamic Model of a PWR Nuclear Power Plant. Sci 2020, 2, 36.

Abstract

This short communication makes use of the principle of singular perturbation to approximate the ordinary differential equation (ODE) of prompt neutron (in the point kinetics model) as an algebraic equation. This approximation is shown to yield a large gain in computational efficiency without compromising any significant accuracy in the numerical simulation of primary coolant system dynamics in a PWR nuclear power plant. The approximate (i.e., singularly perturbed) model has been validated with a numerical solution of the original set of neutron point-kinetic and thermal–hydraulic equations. Both models use variable-step Runge–Kutta numerical integration.

Keywords

PWR nuclear power plants; point kinetics; singular perturbation

Subject

Physical Sciences, Applied Physics

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