On the Taylor series solution of the reactor point kinetics equations

Abstract

A numerical solution of point reactor kinetics with multiple delayed neutron precursors groups is derived utilizing Taylor polynomials. This method is verified using step, ramp and sinusoidal reactivity inputs in C++ simulation compared to data available in literature. The effect of Taylor Remainder is studied and discussed. Impact of using a different Taylor Series order is observed. Limitations and possible improvements of this method are demonstrated.