Reactimeter dispersion equation

The aim of this work is to derive and analyze a reactimeter metrological model in the form of the dispersion equation which connects reactimeter input/output signal dispersions with superimposed random noise at the inlet. It is proposed to standardize the reactimeter equation form, presenting the main reactimeter computing unit by a convolution equation. Hence, the reactimeter metrological characteristics are completely determined by this unit hardware function which represents a transient response describing the processes on delayed neutrons after a stepped power leap. It is shown that the amplitude-frequency response of the reactimeter linear unit allows inlet additive noise to be considered as white. For such conditions, reactivity dispersion expressions were obtained for an exponential and discrete representation of the delayed neutron transient response. The dispersion amplification factors were calculated for a number of known delayed neutron constant systems. The dispersion equation implementation in the reactimeter composition makes it possible to reflect the uncertainty in a real-time reactivity assessment. A number of tasks and directions for further studies and developments have been indicated.