scholarly journals Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons

2012 ◽  
Vol 61 (7) ◽  
pp. 070201
Author(s):  
Zhu Qian ◽  
Shang Xue-Li ◽  
Chen Wen-Zhen
Keyword(s):  
Delayed Neutrons ◽  
Reactor Kinetics ◽  
Homotopy Analysis ◽  
Point Reactor Kinetics

Analytical representation of the solution of the point reactor kinetics equations with adaptive time step

2014 ◽  
Vol 70 ◽  
pp. 112-118 ◽  
Author(s):  
Sérgio Q. Bogado Leite ◽  
Daniel A.P. Palma ◽  
Marco Tullio de Vilhena ◽  
Bardo E.J. Bodmann
Keyword(s):  
Analytical Representation ◽  
Time Step ◽  
Reactor Kinetics ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Point Reactor Kinetics

scholarly journals On a significant slowing-down of the kinetics of fast transient processes in a fast reactor

2020 ◽  
Vol 6 (4) ◽  
pp. 295-298
Author(s):  
Gennady G. Kulikov ◽  
Anatoly N. Shmelev ◽  
Vladimir A. Apse ◽  
Evgeny G. Kulikov
Keyword(s):  
Fast Reactor ◽  
Dead Time ◽  
Reactor Core ◽  
Atomic Weight ◽  
Neutron Lifetime ◽  
Fission Reaction ◽  
Delayed Neutrons ◽  
Reactor Kinetics ◽  
The Dead ◽  
Kinetics Of

The kinetics of nuclear reactors is determined by the average neutron lifetime. When the inserted reactivity is more than the effective delayed neutron fraction, the reactor kinetics becomes very rapid. It is possible to slow down the fast reactor kinetics by increasing the neutron lifetime. The authors consider the possibility of using the lead isotope, 208Pb, as a neutron reflector with specific properties in a lead-cooled fast reactor. To analyze the emerging effects in a reactor of this type, a point kinetics model was selected, which takes into account neutrons returning from the 208Pb reflector to the reactor core. Such specific properties of 208Pb as the high atomic weight and weak neutron absorption allow neutrons from the reactor core to penetrate deeply into the 208Pb reflector, slow down in it, and have a noticeable probability to return to the reactor core and affect the chain fission reaction. The neutrons coming back from the 208Pb reflector have a long ‘dead-time’, i.e., the sum of times when neutrons leave the reactor core, entering the 208Pb reflector, and then diffuse back into the reactor core. During the ‘dead-time’, these neutrons cannot affect the chain fission reaction. In terms of the delay time, the neutrons returning from the deep layers of the 208Pb reflector are close to the delayed neutrons. Moreover, the number of the neutrons coming back from the 208Pb reflector considerably exceeds the number of the delayed neutrons. As a result, the neutron lifetime formed by the prompt neutron lifetime and the ‘dead-time’ of the neutrons from the 208Pb reflector can be substantially increased. This will lead to a longer reactor acceleration period, which will mitigate the effects of prompt supercriticality. Thus, the use of 208Pb as a neutron reflector can significantly improve the fast reactor nuclear safety.

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