Approximate solutions of point kinetics equations with one delayed neutron group and temperature feedback during delayed supercritical process

In the present investigation, the delayed supercritical process of a nuclear reactor with temperature feedback while inserting small step reactivity is analyzed. It is found that there exist some problems in the results obtained in the published literatures. The expression of relation between reactivity and time is derived, and the effects of the small inserted step reactivity and initial power on the delayed supercritical process are analyzed and discussed. To test the developed solution and to prove the validity of the method for application purposes, a comparison with other methods indicates the superiority of temperature prompt jump approximation. Some useful new conclusions are drawn, which can provide an important theory for the safety analysis and operating administration of the nuclear reactor.