Modified Model of the Instantaneous Jump for the Dynamics of a Nuclear Reactor

The paper presents a modified one-group instantaneous jump model for the reactor dynamics consisting of both the instantaneous jump model in the one-group approximation and the adiabatic equation of feedback, where an effective decay constant of precursors is a function of reactivity perturbation. An expression for the model of an instantaneous jump of nuclear reactor kinetics was obtained. λ variability was taken into account. Within the framework of the modified model analytical and semi-empirical formulae were obtained to determine the main integral parameters of the transition process, such as the maximum density of neutrons per pulse, the value of reactivity at the maximum neutron density, a pulse duration and the time of maximum neutron density. It is shown that the use of a variable λ can significantly improve the accuracy of determining the basic integral parameters of the transition process in a wide range of perturbations according to the model itself as well as to the proposed formulae.

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