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Citation(s) in
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58
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For:
Espinosa-paredes G
, Polo-labarrios M, Espinosa-martínez E, Valle-gallegos ED.
Fractional neutron point kinetics equations for nuclear reactor dynamics.
ANN NUCL ENERGY
2011;
38
:307-30. [DOI:
10.1016/j.anucene.2010.10.012
]
[
Citation(s) in
RCA
: 90
]
[
Impact Index Per Article: 6.9
]
[
Reference Citation Analysis
]
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[Indexed: 11/21/2022]
Number
Cited by Other Article(s)
51
Espinosa-Paredes G
, del Valle Gallegos E, Núñez-Carrera A, Polo-Labarrios MA, Espinosa-Martínez EG, Vázquez-Rodríguez A. Fractional neutron point kinetics equation with Newtonian temperature feedback effects.
PROGRESS IN NUCLEAR ENERGY
2014. [DOI:
10.1016/j.pnucene.2014.01.009
]
[
Citation(s) in
RCA
: 20
]
[
Impact Index Per Article: 2.0
]
[
Reference Citation Analysis
]
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[Indexed: 11/16/2022]
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52
Das S
, Mukherjee S, Das S, Pan I, Gupta A. Continuous order identification of PHWR models under step-back for the design of hyper-damped power tracking controller with enhanced reactor safety.
NUCLEAR ENGINEERING AND DESIGN
2013. [DOI:
10.1016/j.nucengdes.2013.01.001
]
[
Citation(s) in
RCA
: 19
]
[
Impact Index Per Article: 1.7
]
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[Indexed: 11/27/2022]
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53
Espinosa-Paredes G
, Polo-Labarrios M, Alvarez-Ramirez J. Anomalous diffusion processes in nuclear reactors.
ANN NUCL ENERGY
2013. [DOI:
10.1016/j.anucene.2012.11.024
]
[
Citation(s) in
RCA
: 6
]
[
Impact Index Per Article: 0.5
]
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[Indexed: 10/27/2022]
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54
Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method.
SCIENCE AND TECHNOLOGY OF NUCLEAR INSTALLATIONS
2013. [DOI:
10.1155/2013/261327
]
[
Citation(s) in
RCA
: 6
]
[
Impact Index Per Article: 0.5
]
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[Indexed: 11/17/2022]
Abstract
The singularly perturbed method (SPM) is proposed to obtain the analytical solution for the delayed supercritical process of nuclear reactor with temperature feedback and small step reactivity inserted. The relation between the reactivity and time is derived. Also, the neutron density (or power) and the average density of delayed neutron precursors as the function of reactivity are presented. The variations of neutron density (or power) and temperature with time are calculated and plotted and compared with those by accurate solution and other analytical methods. It is shown that the results by the SPM are valid and accurate in the large range and the SPM is simpler than those in the previous literature.
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55
Polo-Labarrios MA
, Espinosa-Paredes G. Numerical analysis of startup PWR with fractional neutron point kinetic equation.
PROGRESS IN NUCLEAR ENERGY
2012. [DOI:
10.1016/j.pnucene.2012.05.003
]
[
Citation(s) in
RCA
: 16
]
[
Impact Index Per Article: 1.3
]
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[Indexed: 11/30/2022]
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56
Application of the fractional neutron point kinetic equation: Start-up of a nuclear reactor.
ANN NUCL ENERGY
2012. [DOI:
10.1016/j.anucene.2012.03.015
]
[
Citation(s) in
RCA
: 30
]
[
Impact Index Per Article: 2.5
]
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[Indexed: 11/23/2022]
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57
Espinosa-Paredes G
, Polo-Labarrios MA, Díaz-González L, Vázquez-Rodríguez A, Espinosa-Martínez EG. Sensitivity and uncertainty analysis of the fractional neutron point kinetics equations.
ANN NUCL ENERGY
2012. [DOI:
10.1016/j.anucene.2011.11.023
]
[
Citation(s) in
RCA
: 25
]
[
Impact Index Per Article: 2.1
]
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[Indexed: 11/29/2022]
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58
Saha Ray S
, Patra A. An Explicit Finite Difference scheme for numerical solution of fractional neutron point kinetic equation.
ANN NUCL ENERGY
2012. [DOI:
10.1016/j.anucene.2011.11.006
]
[
Citation(s) in
RCA
: 47
]
[
Impact Index Per Article: 3.9
]
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Reference Citation Analysis
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[Indexed: 12/01/2022]
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