@inproceedings{c9f34e17d48c4ee790d50b86c2024353,
title = "Frequency-domain stability analysis of reactivity feedback mechanisms",
abstract = "Frequency-domain analysis is applied to a simplified point reactor model in order to study the stability of the reactor to small perturbations. Full-power transfer function is derived including the reactivity feedback of both fuel and coolant temperatures. The Routh-Hurwitz stability criterion is applied to the characteristic equation, and correspondingly three categories of stability are identified: unconditional stability, unconditional instability, and conditional stability which depends on the power level. An explicit expression for the stability threshold of the reactor power is derived and its dependence on the reactivity coefficients is discussed.",
keywords = "Frequency-domain analysis, Reactivity coefficients, Reactor stability, Transfer function",
author = "Doron Sivan and Erez Gilad and Shai Kinast",
note = "Publisher Copyright: {\textcopyright} 2019 American Nuclear Society. All rights reserved.; 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 ; Conference date: 25-08-2019 Through 29-08-2019",
year = "2019",
month = jan,
day = "1",
language = "English",
series = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",
publisher = "American Nuclear Society",
pages = "1980--1989",
booktitle = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",
address = "United States",
}