Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

Autor: Gilberto Espinosa-Paredes, Ricardo I. Cázares-Ramírez, Vishwesh A. Vyawahare, Érick-G. Espinosa-Martínez
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Nuclear Engineering and Technology, Vol 56, Iss 4, Pp 1296-1309 (2024)
Druh dokumentu: article
ISSN: 1738-5733
DOI: 10.1016/j.net.2023.11.034
Popis: The aim of this work is to explore the effect of the double subdiffusion on the stability in BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order fractional model (DS-F-ROM) to describe the neutron and heat transfer processes was proposed for this study. The double subdiffusion was developed with a fractional-order two-equation model, and with different fractional-orders and relaxation times. The stability analysis was carried out using the root-locus method and change from the s to the W domain and were confirmed using the time-domain evolution of neutron flux for a unit step change in reactivity. The results obtained using the reduced fractional-order model are presented for different anomalous diffusion coefficient values. Results are compared with normal diffusion and P1 equations, which are obtained straightforwardly with DS-ROM when relaxation time tends to zero, and when the anomalous diffusion coefficient tends to one, respectively.
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