Abstract
This paper deals with fractional-order (FO) modeling of a nuclear reactor. Modeling neutron transport in a nuclear reactor as subdiffusion results in the development of FO neutron telegraph equation. This model predicts subdiffusive behaviour for long-time. This fact is used to develop various linear control-oriented FO models for nuclear reactor. Development and analysis of three FO linear models is reported: FO point reactor kinetics model, Zero power FO transfer function and FO transfer function with temperature feedback of reactivity. In addition to the detailed stability analysis of these FO models, a comparative study of time-domain indices is carried out with respective integer-order models. The proposed FO models give a better representation of the neutron transport in the heterogeneous reactor core and therefore can be used to develop better model-based control strategies for a nuclear reactor.
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