Stability Analysis of a Reactor Control System by the Tsypkin Locus Method

This paper extends the Tsypkin Locus method to investigate the stability and the existence of a possible limit-cycle in the control system of a large (coupled-core) reactor. The investigation includes the effect of different phase shifts between two adjacent sections of the core. Two examples are given and a comparison between the Describing Function approach and the more accurate Tsypkin Locus method is made.