Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models by Vishwesh Vyawahare & Paluri S. V. Nataraj

Author:Vishwesh Vyawahare & Paluri S. V. Nataraj
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

5.3.3 Reactivity After a Positive Power Transient

Next we evaluate the reactivity variation during a power transient . The transient is described by an increase in reactor power at from its initial steady-state value , followed by the decrease again to at the instant . It is shown in Fig. 5.4.

Fig. 5.4Positive power transient [126]

The power can be expressed as

(5.53)

We first consider inverse IPRK model (5.23). Following [126] and substituting this power variation in it,

(5.54)

Simplifying we get reactivity just after the positive power transient, that is, at ,

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