The Transfer Function of a Water Boiler Reactor

The power and temperature transfer functions for a water boiler reactor are obtained for the case of m groups of delayed neutrons including the effects of temperature and radiolytic gas generation. The nature of the water boiler reactor transfer function is investigated and important results discussed. A number of asymptotic and approximate expressions are given. Representations other than Bode plots are investigated. These include the inverse polar plot, complex power coefficient of reactivity, and modified Nyquist plots. The derivation and limitations of the space-independent reactor kinetics equations used are discussed briefly.