linear stability analysis of a nuclear reactor using the lumped model
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2016
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Abstract
The stability analysis of a nuclear reactor is an important aspect in the
design and operation of the reactor. A stable neutronic response to
perturbations is essential from the safety point of view. In this paper, a
general methodology has been developed for the linear stability analysis of
nuclear reactors using the lumped reactor model. The reactor kinetics has
been modelled using the point kinetics equations and the reactivity feedbacks
from fuel, coolant and xenon have been modelled through the appropriate time
dependent equations. These governing equations are linearized considering
small perturbations in the reactor state around a steady operating point. The
characteristic equation of the system is used to establish the stability zone
of the reactor considering the reactivity coefficients as parameters. This
methodology has been used to identify the stability region of a typical
pressurized heavy water reactor. It is shown that the positive reactivity
feedback from xenon narrows down the stability region. Further, it is
observed that the neutron kinetics parameters (such as the number of delayed
neutron precursor groups considered, the neutron generation time, the delayed
neutron fractions, etc.) do not have a significant influence on the location
of the stability boundary. The stability boundary is largely influenced by
the parameters governing the evolution of the fuel and coolant temperature
and xenon concentration.
| Reference Key |
a.2016nuclearlinear
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|---|---|
| Authors | ;Kale Vivek A.;Kumar Rakesh;Obaidurrahman K.;Gaikwad Avinash J. |
| Journal | postepy higieny i medycyny doswiadczalnej (online) |
| Year | 2016 |
| DOI |
10.2298/NTRP1603218K
|
| URL | |
| Keywords |
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