Bifurcation analysis using the system code Ramona

A. Dokhane, R. Chawla, D. Hennig, Rizwan Uddin

Research output: Contribution to conferencePaper

Abstract

This paper presents a study in which the bifurcation analysis is carried out using the system code RAMONA. As a first step, a correspondence hypothesis is proposed to underline the relationship between a stable (unstable) limit cycle solution and the occurrence of supercritical (subcritical) Hopf bifurcation in the modeling of boiling water reactor stability behaviour. A detailed local bifurcation analysis is then carried out in the narrow environment of one representative operational point for the Leibstadt NPP. Based on the experience acquired during stability and bifurcation analyses using our reduced order model, the results found using RAMONA could be explained. As a result, this is the first time that the occurrence of a subcritical Hopf bifurcation has been identified using RAMONA, or any other system code.

Original languageEnglish (US)
Pages595-604
Number of pages10
StatePublished - Dec 30 2004
Event12th International Conference on Nuclear Engineering (ICONE12) - 2004 - Arlington, VA, United States
Duration: Apr 25 2004Apr 29 2004

Other

Other12th International Conference on Nuclear Engineering (ICONE12) - 2004
CountryUnited States
CityArlington, VA
Period4/25/044/29/04

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Keywords

  • Bifurcation analysis
  • Limit cycle
  • Reduced order models
  • Subcritical Hopf bifurcation
  • System codes

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

Dokhane, A., Chawla, R., Hennig, D., & Uddin, R. (2004). Bifurcation analysis using the system code Ramona. 595-604. Paper presented at 12th International Conference on Nuclear Engineering (ICONE12) - 2004, Arlington, VA, United States.