The stability of boiling water reactors as a catastrophe phenomenon

Pazsit, Imre,1948Chalmers tekniska högskola,Chalmers University of Technology (författare)

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.

Dykin, Victor,1985Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)dykin (författare)
Konno, H.University of Tsukuba (författare)
Kozlowski, T.University of Illinois (författare)
Chalmers tekniska högskolaUniversity of Tsukuba (creator_code:org_t)

Ingår i:Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015, Nashville, United States, 19-23 April 20151, s. 763-7749781510808041

Av författaren/redakt...: Pazsit, Imre, 19 ...; Dykin, Victor, 1 ...; Konno, H.; Kozlowski, T.

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