The Study on the Control of Neutron Flux Distribution in Nuclear Reactors

This paper is concerned with the control of neutron flux distribution by the finite number of control rods with the constraint on the reactor period. The control aim is to shift the initial neutron flux distribution to the desired flux distribution in a given time. The iteration scheme is proposed in order to obtain the solution of the problem. This method is composed of two processes: in the process A, the control function αk(t) is determined so as to minimize the performance index Jk=||Φd, k(x, t)-Lαk(t)-LIΦI(x)||2, in the process B, the distribution function Φd, k+1(x, t) is determined so as to minimize J'k+1=||Φd, k+1(x, t)-Lαk(t)-LIΦI(x)||2, where L is an operator which transforms a function of t into a function of t and x, and LI is an operator which transforms an initial flux distribution into a function of t and x. These two processes are iterated until a sequence of [Jk] converges.An example is given to show the effectiveness of the proposed method and the possibility of this control scheme.