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