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The stability of boiling water reactors as a catastrophe phenomenon

Imre Pázsit (Institutionen för teknisk fysik, Nukleär teknik) ; Victor Dykin (Institutionen för teknisk fysik, Nukleär teknik) ; H. Konno ; T. Kozlowski
Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015, Nashville, United States, 19-23 April 2015 Vol. 1 (2015), p. 763-774.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: BWR, Catastrophe theory, Stability



Denna post skapades 2016-01-13.
CPL Pubid: 230559

 

Institutioner (Chalmers)

Institutionen för teknisk fysik, Nukleär teknik (2006-2015)

Ämnesområden

Subatomär fysik
Kärnkemi

Chalmers infrastruktur