The neutron point kinetics equation: Suppression of fractional derivative effects by temperature feedback

被引：17
|
作者：
Schramm, M. [1 ]
Bodmann, B. E. J. [1 ]
Alvim, A. C. M. [2 ]
Vilhena, M. T. [1 ]
机构：
[1] Univ Fed Rio Grande do Sul, PROMEC, Porto Alegre, RS, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, Ilha Fundao, BR-21945 Rio De Janeiro, RJ, Brazil
来源：
ANNALS OF NUCLEAR ENERGY | 2016年 / 87卷
关键词：
Neutron point kinetics; Fractional derivative; Temperature feedback;
D O I：
10.1016/j.anucene.2015.10.003
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
A Riemann-Liouville fractional derivative point kinetics model is discussed with additional temperature feedback. The choice for the Riemann-Liouville definition is justified by preservation of homogeneity and integral transform properties. An analytical representation for the time dependent neutron density is derived for any fractional order and any relaxation time scale by the use of a recursive decomposition scheme. Without temperature effects scenarios with constant positive and negative, linear and oscillatory time dependent reactivity are presented. The case with additional temperature effects is solved and results are presented. The latter case showed that for a selection of fractional derivative parameter effects on the neutron density are completely suppressed. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：479 / 485
页数：7
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