NDLI: Integral point-kinetics equation for calculating the fast kinetics of a subcritical system with a pulsed external source

Content Provider	Springer Nature Link
Author	Seliverstov, V. V. Shvedov, O. V.
Copyright Year	1999
Abstract	The integral point-kinetics equations here proposed allow the variation in form function of the flux over time to be correctly taken into account, along with the difference in the potentials of neutron disappearance and secondary-neutron initiation for different types of sources; these disappearance and initiation effects are especially pronounced in deeply subcritical systems with a pulsed external source. In the present work, approximation of the thermal-neutron function as the sum of two exponentials is considered. In principle, more than two exponentials may be used. Characteristics of several successive generations of source neutrons calculated by a steady program may be used as the additional integral characteristics required to determine the parameters of the approximation. However, comparative calculations of the response of the system to the instantaneous introduction of a source neutron with approximation of the probability functions by one and two exponentials shows that there is only a marked difference in the results within the first few msec. After that, the results are the same. This indicates that approximation of the probability functions by the sum of two exponentials gives realistic values, and refinement by introducing more exponentials in the sum yields only minor corrections. This may be verified by determining the probability functions using a program based on the Monte Carlo method.Calculations of the ENG show that the method is highly effective for the analysis of subcritical systems with a pulsed source. In particular, initial breeding of the neutron pulses in the subcritical system is established; previously, this could only be estimated by considerably more complex and time-consuming methods of direct space-time calculation or by expansion in eigenfunctions of trial functions.The results obtained indicate that the ENG is characterized by the presence of a relatively large time interval within the pulse cycle where decay of the neutron flux is determined solely by the asymptotic decay constant. As a result, it is possible to determine the decay constant experimentally for equipment operating in the rated conditions; this is important in ensuring nuclear safety.
Starting Page	523
Ending Page	531
Page Count	9
File Format	PDF
ISSN	10634258
Journal	Atomic Energy
Volume Number	85
Issue Number	2
e-ISSN	15738205
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1999-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nuclear Chemistry Nuclear Physics, Heavy Ions, Hadrons Nuclear Engineering
Content Type	Text
Resource Type	Article
Subject	Nuclear Energy and Engineering

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