The stability of boiling water reactors as a catastrophe phenomenon

I. Pázsit, V. Dykin, H. Konno, Tomasz Kozlowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The stability of boiling water reactors (BWRs) is revisited in terms of catastrophe theory. The hypothesis is proposed that the stability parameter (decay ratio) of a complex, many-variable non-linear system might obey a cusp catastrophe. The incentive for this surmise comes from indications in real measurements that in certain cases the decay ratio appears to behave discontinuously and might show a hysteresis as a function of the control parameters reactor power and coolant flow. Such observations can be explained by a phenomenological catastrophe model suggested in this article. Since a cusp-type behaviour implies that the decay ratio is many-valued in a certain region of the power-flow map, a mechanism is suggested how a Hopf bifurcation with multiplicative noise can lead to such a behaviour.

Original languageEnglish (US)
Title of host publicationMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
PublisherAmerican Nuclear Society
Pages763-774
Number of pages12
ISBN (Electronic)9781510808041
StatePublished - Jan 1 2015
EventMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015 - Nashville, United States
Duration: Apr 19 2015Apr 23 2015

Publication series

NameMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
Volume1

Other

OtherMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
CountryUnited States
CityNashville
Period4/19/154/23/15

Fingerprint

boiling water reactors
Catastrophe
Reactor
Decay
Cusp
cusps
Water
decay
catastrophe theory
Catastrophe theory
power reactors
Many valued
incentives
Power Flow
Multiplicative Noise
coolants
nonlinear systems
Incentives
Hysteresis
Hopf Bifurcation

Keywords

  • BWR
  • Catastrophe theory
  • Stability

ASJC Scopus subject areas

  • Mathematics(all)
  • Nuclear and High Energy Physics

Cite this

Pázsit, I., Dykin, V., Konno, H., & Kozlowski, T. (2015). The stability of boiling water reactors as a catastrophe phenomenon. In Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015 (pp. 763-774). (Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015; Vol. 1). American Nuclear Society.

The stability of boiling water reactors as a catastrophe phenomenon. / Pázsit, I.; Dykin, V.; Konno, H.; Kozlowski, Tomasz.

Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. American Nuclear Society, 2015. p. 763-774 (Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015; Vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pázsit, I, Dykin, V, Konno, H & Kozlowski, T 2015, The stability of boiling water reactors as a catastrophe phenomenon. in Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015, vol. 1, American Nuclear Society, pp. 763-774, Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015, Nashville, United States, 4/19/15.
Pázsit I, Dykin V, Konno H, Kozlowski T. The stability of boiling water reactors as a catastrophe phenomenon. In Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. American Nuclear Society. 2015. p. 763-774. (Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015).
Pázsit, I. ; Dykin, V. ; Konno, H. ; Kozlowski, Tomasz. / The stability of boiling water reactors as a catastrophe phenomenon. Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. American Nuclear Society, 2015. pp. 763-774 (Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015).
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