A discrete-time algorithm for nuclear reactor spatial control (Q1059589)

A discrete-time modal model and discrete-time control algorithms for nuclear reactor space-time dynamics and control are developed. A bilinear continuous-time model is used for the development. This model, considering eight variables, is discretized with respect to time. The open-loop response is demonstrated to be unstable. A complete state feedback control algorithm is then determined for a ''base-load'' cycle such that the resulting system is stable. An incomplete state feedback algorithm for improving the stable response is proposed, that is, a proportional and integral (PI) control algorithm which uses only some of the measurable state variables. An alternate optimal control approach for improving the stable response is developed with the performance index being a function of the power deviation from a prescribed value. Performance indices for complete state feedback, PI controlled and optimally controlled response are computed and compared. Ten simulation tests are run for the latter two and it is found that the optimal control algorithm works better than the PI control algorithm at the cost of computational effort.