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Technical Note

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

by 1 and 1,2,*
1
Department of Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA
2
Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, USA
*
Author to whom correspondence should be addressed.
Received: 13 March 2020 / Accepted: 11 April 2020 / Published: 27 May 2020
(This article belongs to the Section Thermal Engineering and Sciences)
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. View Full-Text
Keywords: PWR nuclear power plants; point kinetics; singular perturbation PWR nuclear power plants; point kinetics; singular perturbation
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MDPI and ACS Style

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. https://doi.org/10.3390/sci2020036

AMA Style

Chen X, Ray A. On Singular Perturbation of Neutron Point Kinetics in the Dynamic Model of a PWR Nuclear Power Plant. Sci. 2020; 2(2):36. https://doi.org/10.3390/sci2020036

Chicago/Turabian Style

Chen, Xiangyi, and Asok Ray. 2020. "On Singular Perturbation of Neutron Point Kinetics in the Dynamic Model of a PWR Nuclear Power Plant" Sci 2, no. 2: 36. https://doi.org/10.3390/sci2020036

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