Title: Verification of iterative matrix solutions for multipoint kinetics equations

Journal Article · · Annals of Nuclear Energy
 [1]; ORCiD logo [2]
  1. Alternative Energies and Atomic Energy Commission (CEA), Cadarache (France)
  2. Idaho National Lab. (INL), Idaho Falls, ID (United States)
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Multipoint kinetic equation systems have been solved numerically using matrix algebra software and 1st to 4th order implicit schemes based on single-step matrix propagators. These matrix schemes have been validated successfully on demanding point kinetics benchmarks with various prescribed reactivity insertions. Verification tests have also been performed on a simple 3-region fast reactor core model with asymmetric step or ramp reactivity insertions and cross-checked with the multipoint kinetics SACRE code developed at INL and based on existing and validated stiff ODE solver packages. Accurate results can be obtained at a limited time expense. The reason for intriguing results obtained in some transients has been elucidated and linked to the multipoint matrix coefficient interpolation method during the transient.

Research Organization:
Idaho National Laboratory (INL), Idaho Falls, ID (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
Grant/Contract Number:
AC07-05ID14517
OSTI ID:
1631717
Report Number(s):
INL/JOU-18-45836-Rev000
Journal Information:
Annals of Nuclear Energy, Journal Name: Annals of Nuclear Energy Journal Issue: C Vol. 124; ISSN 0306-4549
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (11)

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A highly accurate algorithm for the solution of the point kinetics equations journal December 2013
Calculation of effective point kinetics parameters in the Serpent 2 Monte Carlo code journal March 2014
Coupled reactors analysis: New needs and advances using Monte Carlo methodology journal December 2016
Towards spatial kinetics in a low void effect sodium fast reactor: core analysis and validation of the TFM neutronic approach journal January 2017
Local correlated sampling Monte Carlo calculations in the TFM neutronics approach for spatial and point kinetics applications journal January 2017
Rigorous Derivation of Multi-Point Reactor Kinetics Equations with Explicit Dependence on Perturbation journal February 1992
Application of the Multipoint Method to the Kinetics of Accelerator-Driven Systems journal September 2004
The Application of Reactor Kinetics to the Analysis of Experiments journal January 1958
On the Derivation of Avery’s Coupled Reactor Kinetics Equations journal December 1969

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22 GENERAL STUDIES OF NUCLEAR REACTORS
Iterative matrix solutions
multipoint kinetics