Accuracy of analytical methods for obtaining supercritical transients with temperature feedback

The prompt and delayed supercritical process of a nuclear reactor with temperature feedback is taken into consideration. The solutions of the point-reactor neutron kinetics equations for different analytic models are investigated. The new solutions are also proposed and compared with those given in the published literatures. It is found that the model and related solution for prompt supercritical cannot be applied for delayed supercritical, vice versa. Up to the present, the analytical solutions for prompt and delayed supercritical processes with temperature feedback should be derived and used, respectively. Finally, the validity and valid limit of these analytic models and related solutions are determined and discussed, some useful conclusions are drawn.