This investigation is to review advanced technologies for modeling and control of reactor
cores in nuclear power plants for electricity generation. A reactor core in a nuclear power …

It is well known that Espinosa-parades et al.(Espinosa-Paredes et al., 2011) proposed a
fractional neutron point kinetic (FNPK) model with multi-group of delayed neutrons to …

One of the most important issues with respect to nuclear reactors is power control. In this
study, we designed a fractional-order sliding mode controller based on a nonlinear fractional …

The paper focuses on the presentation and comparison of basic nodal and expanded multi-
nodal models of the Pressurized Water Reactor (PWR) core, which includes neutron …

Novel solutions to the fractional neutron point kinetic equations in terms of Caputo
derivatives are obtained for three different cases: 1) constant reactivity; 2) cold startup …

The aim of this paper is the mathematical derivation, and numerical analysis of the fractional-
space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics. The classic …

This work presents a novel solution to Fractional-model equations, it is based on the
applying of conformal derivative to fractional calculus and thus obtain a linear multi-term …

The paper presents the neutron point kinetics and heat exchange models for the nuclear
reactor. The models consist of a nonlinear system of fractional ordinary differential and …

A Telegraph model of the Point Reactor Kinetics (TPRK) is developed based on the
monoenergetic, non-fractional order telegraph approximation of the neutron transport …

The aim of this work is to investigate the stability of linear fractional neutron point kinetics
(FNPK) equations with closed-loop feedback. The FNPK model retains the main dynamic …