Abstract
The understanding of the time-dependent behavior of the neutron population in a nuclear reactor in response to either a planned or unplanned change in the reactor conditions is of great importance to the safe and reliable operation of the reactor. In the present work the point kinetic equation is solved numerically using stiffness confinement method (SCM). The solution is applied to the kinetic equation in the presence of different types of reactivities and was compared with different analytical solutions. This method is also used to analyze reactivity induced accidents in two reactors. The first reactor is fueled with uranium and the second is fueled with plutonium. This analysis presents the effect of negative temperature feedback with the addition of positive reactivity of the control rods to overcome the occurrence of the control rod ejection accident and damaging of the reactor. Both the power and the temperature pulse following the reactivity initiated accidents are calculated. The results are compared with previous works and satisfactory agreement is found.
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