Power series solution (PWS) of nuclear reactor dynamics with newtonian temperature feedback

Abstract

The point reactor kinetics equations of reactor are solved analytically in the presence of delayed neutron with Newtonian feedback for different types of reactivity input using a straightforward recurrence relation of a power series. Analytical or point-function reactivity variation are introduced together with constant or time-varying reactivity compensation. Numerical evaluation is performed by the developed PWS (Power Series Solution) code, written in Visual FORTRAN for a personal computers. The code solves the general non-linear kinetics problems with six groups of delayed neutron. Practical use of the method is verified through computed reactor response for representative reactivity addition functions of various types. In addition, comparison with the conventional methods confirmed the superiority of the developed power series code with different types of reactivity feedback.