Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics

Nuclear Science and Techniques ◽

10.1007/s41365-018-0467-0 ◽

2018 ◽

Vol 29 (9) ◽

Author(s):

Ahmed E. Aboanber ◽

Abdallah A. Nahla ◽

Adel M. Edress

Keyword(s):

Nuclear Reactor ◽

Kinetics Model ◽

Mathematical Technique ◽

Reactor Dynamics ◽

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Control of a pressurized light-water nuclear reactor two-point kinetics model with the performance index-oriented PSO

Nuclear Engineering and Technology ◽

10.1016/j.net.2021.02.018 ◽

2021 ◽

Author(s):

Seyed Mohammad Hossein Mousakazemi

Keyword(s):

Performance Index ◽

Nuclear Reactor ◽

Kinetics Model ◽

Light Water ◽

Light Water Nuclear Reactor ◽

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Scaled neutron point kinetics (SUNPK) equations for nuclear reactor dynamics: 2D approximation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2018.01.020 ◽

2018 ◽

Vol 115 ◽

pp. 377-386 ◽

Author(s):

Gilberto Espinosa-Paredes ◽

Carlos G. Aguilar-Madera

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

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Stochastic point-kinetics equations in nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2004.11.009 ◽

2005 ◽

Vol 32 (6) ◽

pp. 572-587 ◽

Author(s):

J.G. Hayes ◽

E.J. Allen

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

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Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2016.08.007 ◽

2017 ◽

Vol 107 ◽

pp. 136-143 ◽

Author(s):

Gilberto Espinosa-Paredes

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics ◽

Fractional Space

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Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108833 ◽

2021 ◽

pp. 108833

Author(s):

Enrico Schiassi ◽

Mario De Florio ◽

Barry D. Ganapol ◽

Paolo Picca ◽

Roberto Furfaro

Keyword(s):

Neural Networks ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

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Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.07.001 ◽

2014 ◽

Vol 73 ◽

pp. 317-329 ◽

Author(s):

Tomasz Karol Nowak ◽

Kazimierz Duzinkiewicz ◽

Robert Piotrowski

Keyword(s):

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

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Comparison of the error-integral performance indexes in a GA-tuned PID controlling system of a PWR-type nuclear reactor point-kinetics model

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2020.103604 ◽

2021 ◽

Vol 132 ◽

pp. 103604

Author(s):

Seyed Mohammad Hossein Mousakazemi

Keyword(s):

Nuclear Reactor ◽

Kinetics Model ◽

Controlling System ◽

Performance Indexes ◽

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A point kinetics model for dynamic simulations of next generation nuclear reactor

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2016.07.007 ◽

2016 ◽

Vol 92 ◽

pp. 91-103

Author(s):

Mohamed S. El-Genk ◽

Jean-Michel P. Tournier

Keyword(s):

Nuclear Reactor ◽

Kinetics Model ◽

Next Generation ◽

Dynamic Simulations ◽

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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

Annals of Nuclear Energy ◽

10.1016/j.anucene.2015.08.023 ◽

2016 ◽

Vol 88 ◽

pp. 301-302 ◽

Author(s):

Ahmed E. Aboanber ◽

Abdallah A. Nahla

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

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A Transient Analytic Method of Thermionic Reactor: TOPAZ-II

18th International Conference on Nuclear Engineering: Volume 4, Parts A and B ◽

10.1115/icone18-29920 ◽

2010 ◽

Author(s):

Gu Hu ◽

Shouzhi Zhao ◽

Keqiang Ruan

Keyword(s):

Fuel Element ◽

Reasonable Agreement ◽

Nuclear Reactor ◽

Reactor Core ◽

Hydraulic Model ◽

Performance Model ◽

Kinetics Model ◽

Analytic Method ◽

According to characteristics of TOPAZ-II reactor, a transient analytic method combined a nuclear reactor six-group point-kinetics model, a reactor core thermal-hydraulic model, a thermionic fuel element (TFE) performance model is established. Afterwards, establishment and debugging of this transient analytic code are completed. Verification results are reasonable agreement with reported American and Russian data. The code is original with the author.

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