On a point kinetic with explicit presence of neutron poisons: reactivity decomposition according to long time scales

The present work consists of deducing the point kinetics model considering neutron absorber poisons from diffusion equation. When products, non-linear system has different orders magnitude in short and long time scales. first one represents operational reactor control, whereas second is due to change chemical composition nuclear fuel as a result burn-up. This step new direction, it shows how we arrived at extension Xenon-135 Samarium-149 poisons. solved using Adomian decomposition method that expands terms into an infinite series, obtaining recursive system, where recursion initialization homogeneous linear equation subsequent steps consider contributions source constructed previous steps. formulation shown. In order demonstrate robustness current approach this type problem, case studies are presented uses reused elements up third generation, taking direction already initially.