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For: Nowak TK, Duzinkiewicz K, Piotrowski R. Numerical solution analysis of fractional point kinetics and heat exchange in nuclear reactor. Nuclear Engineering and Design 2015. [DOI: 10.1016/j.nucengdes.2014.11.028] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
Number Cited by Other Article(s)
1
Xie H, Duan Q, Ping J, Lu C, Zhang L, Li S. Reactivity disturbance suppression method for small modular reactors based on core coolant flow control. Sci Rep 2022;12:14950. [PMID: 36056078 PMCID: PMC9440147 DOI: 10.1038/s41598-022-19243-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2021] [Accepted: 08/26/2022] [Indexed: 11/22/2022]  Open
2
Polo-Labarrios M, Godínez F, Quezada-García S. Numerical-analytical solutions of the fractional point kinetic model with Caputo derivatives. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2021.108745] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
3
Novel solution to the fractional neutron point kinetic equation using conformable derivatives. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2021.108407] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
4
Power Level Control of Nuclear Power Plant Based on Asymptotical State Observer under Neutron Sensor Fault. SCIENCE AND TECHNOLOGY OF NUCLEAR INSTALLATIONS 2021. [DOI: 10.1155/2021/8833729] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
5
Espinosa-Martínez EG, François JL, Martin-del-Campo C, Maleki Moghaddam N. Time-space fractional neutron point kinetics: Theory and simulations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107448] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
6
Puchalski B, Rutkowski TA, Duzinkiewicz K. Fuzzy Multi-Regional Fractional PID controller for Pressurized Water nuclear Reactor. ISA TRANSACTIONS 2020;103:86-102. [PMID: 32303353 DOI: 10.1016/j.isatra.2020.04.003] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/17/2019] [Revised: 02/21/2020] [Accepted: 04/08/2020] [Indexed: 06/11/2023]
7
Rady K, Abouelsoud AA, Kotb SA, El Metwally MM. Modeling and Estimation of Nuclear Reactor Performance Using Fractional Neutron Point Kinetics with Temperature Effect and Xenon Poisoning. NUCL SCI ENG 2020. [DOI: 10.1080/00295639.2020.1755808] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
8
Rafiei M, Ansarifar G, Hadad K, Mohammadi M. Stability analysis of linear FNPK model considering reactivity feedback effects for a research nuclear reactor. PROGRESS IN NUCLEAR ENERGY 2019. [DOI: 10.1016/j.pnucene.2019.103081] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
9
Vyawahare VA, Espinosa-Paredes G. BWR stability analysis with sub-diffusive and feedback effects. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2017.06.059] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
10
Polo-Labarrios M, Espinosa-Paredes G, Lopéz R, Nuñez-Carrera A, Huerta A, Vázquez-Rodríguez R. ATWS boron analysis for a BWR using the FNPK equation. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2017.04.050] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
11
Puchalski B, Rutkowski TA, Duzinkiewicz K. Nodal models of Pressurized Water Reactor core for control purposes – A comparison study. NUCLEAR ENGINEERING AND DESIGN 2017. [DOI: 10.1016/j.nucengdes.2017.07.005] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
12
Espinosa-Paredes G. Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2016.08.007] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
13
Hamada YM. Modified fractional neutron point kinetics equations for finite and infinite medium of bar reactor core. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2017.03.048] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
14
Cázares-Ramírez RI, Vyawahare VA, Espinosa-Paredes G, Nataraj P. On the feedback stability of linear FNPK equations. PROGRESS IN NUCLEAR ENERGY 2017. [DOI: 10.1016/j.pnucene.2017.02.007] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
15
Solution of the fractional neutron point kinetics equations considering time derivative of the reactivity. PROGRESS IN NUCLEAR ENERGY 2017. [DOI: 10.1016/j.pnucene.2017.03.012] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
16
Hamada YM, Brikaa M. Nonstandard finite difference schemes for numerical solution of the fractional neutron point kinetics equations. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2016.12.031] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
17
Espinosa-Paredes G, Cázares-Ramírez RI. Source term in the linear analysis of FNPK equations. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2016.06.038] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
18
Espinosa-Paredes G, Polo-Labarrios MA. Analysis of the fractional neutron point kinetics (FNPK) equation. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2016.02.009] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
19
Comment on the paper: Espinosa-Parrdes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2015.08.023] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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