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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. An efficient computational technique for solving a fractional-order model describing dynamics of neutron flux in a nuclear reactor. ANN NUCL ENERGY 2023. [DOI: 10.1016/j.anucene.2023.109733] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/12/2023]
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Aboanber AE, Nahla AA, El-Mhlawy AM, Maher O. Spectrum analysis of two energy groups space-dependent neutron telegraph kinetics model. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2022.109285] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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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]
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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. Numerical simulation of two-dimensional fractional neutron diffusion model describing dynamical behaviour of sodium-cooled fast reactor. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2021.108709] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Rafiei M, Ansarifar G, Hadad K, Mohammadi M. Load-following control of a nuclear reactor using optimized FOPID controller based on the two-point fractional neutron kinetics model considering reactivity feedback effects. PROGRESS IN NUCLEAR ENERGY 2021. [DOI: 10.1016/j.pnucene.2021.103936] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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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]
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Safarzadeh O, Noori-kalkhoran O. A fractional PID controller based on fractional point kinetic model and particle swarm optimization for power regulation of SMART reactor. NUCLEAR ENGINEERING AND DESIGN 2021. [DOI: 10.1016/j.nucengdes.2021.111137] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Aboanber AE, Nahla AA, Aljawazneh S. Fractional two energy groups matrix representation for nuclear reactor dynamics with an external source. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2020.108062] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2020.108038] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Vyawahare VA, Datkhile G, Kadam P, Espinosa-Paredes G. Closed-loop controller design, stability analysis and hardware implementation for fractional neutron point kinetics model. NUCLEAR ENGINEERING AND TECHNOLOGY 2021. [DOI: 10.1016/j.net.2020.07.026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Suescún-Díaz D, Espinosa-Paredes G, Escobar FH. Inverse method to obtain reactivity in nuclear reactors with P1 point reactor kinetics model using matrix formulation. NUCLEAR ENGINEERING AND TECHNOLOGY 2021. [DOI: 10.1016/j.net.2020.07.003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Sadeghi H, Darania P. On the approximate solutions of the fractional neutron point kinetics equations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107693] [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]
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Espinosa-Paredes G, Suescún-Díaz D. Point reactor kinetics equations from P1 approximation of the transport equations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107592] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Zare N, Jahanfarnia G, Khorshidi A, Soltani J. Robustness of optimized FPID controller against uncertainty and disturbance by fractional nonlinear model for research nuclear reactor. NUCLEAR ENGINEERING AND TECHNOLOGY 2020. [DOI: 10.1016/j.net.2020.03.002] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Ribeiro ER, Palma DA, Henrice Jr E, Su J. Transient analysis of the Brazilian Multipurpose Reactor by the coupled neutronics and thermal hydraulics code NTHC1. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107449] [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]
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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]
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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]
Affiliation(s)
- K. Rady
- Cairo University, Electrical Power and Machine Department, Cairo, Egypt
| | - A. A. Abouelsoud
- Cairo University, Electronics and Communication Engineering Department, Giza, Egypt
| | - S. A. Kotb
- Egyptian Atomic Energy Authority, Cairo, Egypt
| | - M. M. El Metwally
- Cairo University, Electrical Power and Machine Department, Cairo, Egypt
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Polo-Labarrios M, Quezada-García S, Espinosa-Paredes G, Ortiz-Villafuerte J. Assessment of the fractional neutron point kinetic equation to simulate core transients with Newtonian temperature feedback. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107197] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107173] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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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]
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Diniz RC, Gonçalves ADC, Rosa FSDSD. Adjusted mean generation time parameter in the neutron point kinetics equations. ANN NUCL ENERGY 2019. [DOI: 10.1016/j.anucene.2019.05.019] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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22
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Roul P, Madduri H, Obaidurrahman K. An implicit finite difference method for solving the corrected fractional neutron point kinetics equations. PROGRESS IN NUCLEAR ENERGY 2019. [DOI: 10.1016/j.pnucene.2019.02.002] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Scaled neutron point kinetics (SUNPK) equations for nuclear reactor dynamics: 2D approximation. ANN NUCL ENERGY 2018. [DOI: 10.1016/j.anucene.2018.01.020] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Aboanber AE, Nahla AA, El Mhlawy AM. Mittag-Leffler and Padé approximations to stiff fractional two point kinetics equations. PROGRESS IN NUCLEAR ENERGY 2018. [DOI: 10.1016/j.pnucene.2017.12.002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Vyawahare VA, Espinosa-Paredes G, Datkhile G, Kadam P. Artificial neural network approximations of linear fractional neutron models. ANN NUCL ENERGY 2018. [DOI: 10.1016/j.anucene.2017.11.005] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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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]
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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]
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Fractional order PID controller for power control in perturbed pressurized heavy water reactor. NUCLEAR ENGINEERING AND DESIGN 2017. [DOI: 10.1016/j.nucengdes.2017.08.013] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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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]
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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]
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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]
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Henrice E, Palma DA, Gonçalves AC, Mesquita AZ. Support to the identification of anomalies in an external neutron source using Hurst Exponents. PROGRESS IN NUCLEAR ENERGY 2017. [DOI: 10.1016/j.pnucene.2017.05.009] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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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]
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Parameter analysis of neutron point kinetics for nuclear reactors. NUCLEAR ENGINEERING AND DESIGN 2017. [DOI: 10.1016/j.nucengdes.2017.04.025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Response of the point-reactor telegraph kinetics to time varying reactivities. PROGRESS IN NUCLEAR ENERGY 2017. [DOI: 10.1016/j.pnucene.2017.03.008] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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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]
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Patra A, Ray SS. On the Solution of the Nonlinear Fractional Neutron Point-Kinetics Equation with Newtonian Temperature Feedback Reactivity. NUCL TECHNOL 2017. [DOI: 10.13182/nt13-148] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- A. Patra
- National Institute of Technology, Department of Mathematics, Rourkela-769008, India
| | - S. Saha Ray
- National Institute of Technology, Department of Mathematics, Rourkela-769008, India
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Palma DA, Nunes AL, Martinez AS. Effect of the time variation of the neutron current density in the calculation of the reactivity. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2016.05.022] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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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]
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Espinosa-Paredes G. A note on “Comment on the paper: Espinosa-Paredes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330.” by A. E. Aboanber, A. A. Nahla. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2016.01.012] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Pirouzmand A, Nabavi A. Simulation of nuclear reactor dynamics equations using reconfigurable computing. PROGRESS IN NUCLEAR ENERGY 2016. [DOI: 10.1016/j.pnucene.2016.02.018] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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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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Espinosa-Paredes G. A note on “Comment on the paper: Espinosa-Paredes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energy 38, 307–330.” by A.E. Aboanber, A.A. Nahla. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2015.11.028] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Schramm M, Bodmann B, Alvim A, Vilhena M. The neutron point kinetics equation: Suppression of fractional derivative effects by temperature feedback. ANN NUCL ENERGY 2016. [DOI: 10.1016/j.anucene.2015.10.003] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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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] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Nowak TK, Duzinkiewicz K, Piotrowski R. Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations. ANN NUCL ENERGY 2014. [DOI: 10.1016/j.anucene.2014.07.001] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Polo-Labarrios M, Espinosa-Martínez EG, Quezada-García S, Varela-Ham JR, Espinosa-Paredes G. Fractional neutron point kinetic equation with ramp and sinusoidal reactivity effects. ANN NUCL ENERGY 2014. [DOI: 10.1016/j.anucene.2014.05.005] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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El_Tokhy MS, Mahmoud II. Parameter analysis of the neutron point kinetics equations with feedback temperature effects. ANN NUCL ENERGY 2014. [DOI: 10.1016/j.anucene.2014.01.020] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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