Abstract
In this chapter, the temperature feedback of reactivity is incorporated in the fractional-order point reactor kinetics model and various linear and nonlinear models, namely, FO Nordheim–Fuchs model, the FPRK model with reactivity feedback (below prompt critical), and linearized FO model with reactivity feedback, are derived. Analysis of these models is carried out. The nonlinear models are solved numerically. The stability of the linear model is analyzed using the step response and root locus techniques. In both the cases, the effect of subdiffusivity on the model dynamics is studied.
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Vyawahare, V., Nataraj, P.S.V. (2018). Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback. In: Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models. Springer, Singapore. https://doi.org/10.1007/978-981-10-7587-2_6
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DOI: https://doi.org/10.1007/978-981-10-7587-2_6
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7586-5
Online ISBN: 978-981-10-7587-2
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