Although the fast reactor should be developed from the standpoint of fuel resources, a recent experiment on EBR-I has given rise to general discussion on its stability.
Main points to be studied are the influences on the stability of the fast reactor, of (1) the short life time of neutron, (2) the possibility of the existence of prompt positive temperature coefficient of reactivity, (3) the great power density and (4) the flow rate of coolant.
As the first step, the authors made a qualitative investigation of the stability of a fast reactor, using a simple model. The conditions on which the fast reactor keeps its stability are shown by Eqs. (12) and (13), which show that the fast reactor are less stable than other reactors, and which may be qualitatively expressed as follows.
As may easily be expected, if the sum of the prompt and delayed temperature coefficient is positive, the system is unstable, probably due to the inward bending of the fuel elements. If the prompt temperature coefficient is positive and the time constant of the delayed temperature coefficient is somewhat large, the instability may occur, because the flow rate of coolant is very low at the generation of certain power, or because the power per unit heat transfer area is very high at the certain flow rate of coolant. Even if the prompt temperature coefficient is negative, when the absolute value of the delayed temperature coefficient and its time constant are large, the instability may occur just the same.
Tendency to instability is inherent not only with EBR-I but with the fast reactor. Such instability, however, arises on extremely abnormal conditions. Now that this has been made clear, it would be possible to throw some light on the problem.
The experiment on EBR-I, in which the core partially melt when the coolant flow rate was zero, shows that for some time from the start of the experiment, the reactor is in a condition not satisfying Eq. (12·1) or (13) and for a short time before the melting occurs, Eq. (12·2) is not satisfied.
The frequency response of EBR-I was also studied.
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