Series: Nuclear and Reactor Constants

since 1971

Русский (РФ)

ISSN 2414-1038 (online)

Authors & Affiliations

Abramov B.D.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia

Abramov B.D. – Leading Researcher, Cand. Sci. (Phys.-Math.), Associate Professor, A.I. Leypunsky Institute for Physics and Power Engineering. Contacts: 1, pl. Bondarenko, Obninsk, Kaluga region, Russia, 249033. Tel.: +7(484) 399-53-73; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..


The problems of mathematical modeling of direct and inverse neutron kinetics and reactivity control are examined. The new multiparametric methods of reactivity measurement are formulated and investigated.
It is known that the quality of reactivity measurement methods gets worse as far as deviation of reactor from a critical condition, since a number of specific problems are appeared. There are problems of removal of so-called spatial effects of reactivity and so on. These problems are also complicated by the errors of knowledge the conditionally-critical and non-stationary mathematical models of reactor.
Two methods of overcoming of the indicated problems are studied in this work.
One of them is using equations with more exact coefficients calculated on the basis of information about initial and measurable states of reactor instead of ordinary equations of inverse kinetics method.
Other is generalization and further development of known two- and three-parametric methods of reactivity measurement on the multuparamertic methods. According to these methods the auxiliary coefficients (parameters) are entered in point kinetics equations and calculated jointly with reactivity and neutron source by the least squares method.

inverse kinetics methods for measurement of nuclear reactor reactivity, methods of identification of point kinetics equations coefficients

Article Text (PDF, in Russian)


UDC 519.6:621.039.51

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2017, issue 3, 3:2