Optimal Flux Distribution in Slab Reactors with Uniform External Source

抄録

The problem of optimal flux distribution for maximum power, in bare slab reactors with uniform external source and maximum flux constraint, is solved using optimal control for-malism for the case of one group neutron diffusion approximation. A set of optimal solu-tions, which depend on the magnitude of the external source, the upper and lower limit of the control variable and the maximum flux allowable in the reactor, is obtained. The results corresponding to a critical reactor are included here, as a particular case. A numerical example is used to illustrate the parametric dependence of the solutions.