Nuclear Engineering and Technology

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

  • Gilberto Espinosa-Paredes (Area de Ingenieria en Recursos Energeticos, Universidad Autonoma Metropolitana-Iztapalapa) ;
  • Ricardo I. Cazares-Ramirez (Universidad Nacional Autonoma de Mexico, Facultad de Ingenieria) ;
  • Vishwesh A. Vyawahare (Department of Electronics Engineering, Ramrao Adik Institute of Technology, DY Patil deemed to be University) ;
  • Erick-G. Espinosa-Martinez (Department of Engineering, CIIDETEC-Coyoacan, Universidad del Valle de Mexico)
  • Received : 2023.05.22
  • Accepted : 2023.11.18
  • Published : 2024.04.25
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Abstract

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.

Keywords

Acknowledgement

We would like to express our sincere gratitude to the anonymous reviewers for their invaluable contributions to the improvement of this manuscript. Their thoughtful comments, insightful suggestions, and constructive feedback have played a pivotal role in enhancing the quality and rigor of our research. We greatly appreciate the time and effort dedicated to the review process, which has undoubtedly strengthened the final version of this paper. R. Cazares-Ramirez (CVU 387444) gratefully acknowledges for the financial support of CONAHCyT provided through the postdoctoral fellowship EPM 2023(1).

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