The Power Noise Transfer Function of a Reactor

A formalism is developed to calculate the power noise transfer function for any kinetic model under the assumption that noise may originate in any or all loops of the system. Reactor kinetic equations are generalized to the macrostochastic equations satisfied by the pile noise. From these, the differential equations of the various correlation functions are determined and solved for the noise spectra. The case of a single feedback, one-delay group model is treated in detail.