Abstract
A theoretical study is made on stochastic fluctuations in power reactors. The theory is demonstrated by treating a specific but widely existing example of liquid-cooled and -moderated reactor operated with either natural convection or forced circulation. Attention is first directed to the thermodynamical analysis of the elementary transport processes of the energy released by fissions through the fuel and coolant. A set of equations for the lumped reactor system are derived for the state variables, i.e. coolant flow-rate, coolant temperature and fuel temperature. In the present paper, a noise source bringing about fluctuations of the coolant flow-rate is assumed to be the most influential among all the noise sources. This idea is taken into the stochastic model by using the Langevin method. As a result of the above treatment, a stochastic description is given for the transport processes of nuclear, thermal and hydraulic quantities by deriving the Markoffian master equation and subsequently the moment equa...
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