Abstract
A method of optimizing neutron flux distribution to obtain maximum power generation from a given core is presented. Constraining conditions governing maximum heat flux and control rod absorption are taken into consideration. It is shown that the problem is reduced to that of optimal control. In the case of one group model the phase plane technique is effective for an intuitive analysis of the problem. It is verified that the solution so obtained satisfies Pontry-agin's principle. The solution is one of “bang-pang type”. The result is extended to the case of two group model, assuming that the solution will again be of bang-pang type. A comparison is made between the one group and the two group models.
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