Stability of coupled core reactors by the second method of Liapunov

In this study the Second Method of Liapunov is employed in the non-linear stability analysis of a coupled core reactor system. To insure conservative results, the time delay due to the transport of neutrons between cores, is incorporated directly into the Second Method. This, in effect, avoids the use of series approximations for the time delay which may lead to non-conservative results. Regions of stability are determined as functions of the coupling coefficient, intrinsic reactivity contribution, and delay time.