Bifurcation analysis using the system code Ramona

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

Research output: ResearchConference contribution

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.

LanguageEnglish (US)
Title of host publicationProceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1
Subtitle of host publicationMaterials and Chemistry Issues; Next Generation Systems; Student Paper Competition
Pages595-604
Number of pages10
Volume1
StatePublished - 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

Fingerprint

Hopf bifurcation
Boiling water reactors

Keywords

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

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Dokhane, A., Chawla, R., Hennig, D., & Rizwan-Uddin (2004). Bifurcation analysis using the system code Ramona. In Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1: Materials and Chemistry Issues; Next Generation Systems; Student Paper Competition (Vol. 1, pp. 595-604)

Bifurcation analysis using the system code Ramona. / Dokhane, A.; Chawla, R.; Hennig, D.; Rizwan-Uddin.

Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1: Materials and Chemistry Issues; Next Generation Systems; Student Paper Competition. Vol. 1 2004. p. 595-604.

Research output: ResearchConference contribution

Dokhane, A, Chawla, R, Hennig, D & Rizwan-Uddin 2004, Bifurcation analysis using the system code Ramona. in Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1: Materials and Chemistry Issues; Next Generation Systems; Student Paper Competition. vol. 1, pp. 595-604, 12th International Conference on Nuclear Engineering (ICONE12) - 2004, Arlington, VA, United States, 4/25/04.
Dokhane A, Chawla R, Hennig D, Rizwan-Uddin. Bifurcation analysis using the system code Ramona. In Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1: Materials and Chemistry Issues; Next Generation Systems; Student Paper Competition. Vol. 1. 2004. p. 595-604.
Dokhane, A. ; Chawla, R. ; Hennig, D. ; Rizwan-Uddin. / Bifurcation analysis using the system code Ramona. Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1: Materials and Chemistry Issues; Next Generation Systems; Student Paper Competition. Vol. 1 2004. pp. 595-604
@inbook{a9cc0d50db4b4f708a4ca8f26ea803b3,
title = "Bifurcation analysis using the system code Ramona",
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.",
keywords = "Bifurcation analysis, Limit cycle, Reduced order models, Subcritical Hopf bifurcation, System codes",
author = "A. Dokhane and R. Chawla and D. Hennig and Rizwan-Uddin",
year = "2004",
volume = "1",
pages = "595--604",
booktitle = "Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1",

}

TY - CHAP

T1 - Bifurcation analysis using the system code Ramona

AU - Dokhane,A.

AU - Chawla,R.

AU - Hennig,D.

AU - Rizwan-Uddin,

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Bifurcation analysis

KW - Limit cycle

KW - Reduced order models

KW - Subcritical Hopf bifurcation

KW - System codes

UR - http://www.scopus.com/inward/record.url?scp=10644257204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10644257204&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 595

EP - 604

BT - Proceedings of the 12th International Conference on Nuclear Engineering (ICONE12) - 2004 Volume 1

ER -