Modeling and Estimation of Nuclear Reactor Performance Using Fractional Neutron Point Kinetics with Temperature Effect and Xenon Poisoning

Rady, K.; Abouelsoud, A. A.; Kotb, Said A.; Metwally, M.M. El

doi:10.1080/00295639.2020.1755808

Cited by 5 publications

(4 citation statements)

References 17 publications

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“…The method described in this article provides for the ability to build a transfer function of the control objectapproximation model of some process (7). The results of its implementation and the results obtained on the basis of a detailed nonlinear physical-mathematical control objectphysical model are adequate at a certain time interval with the same initial data (Fig.…”

Section: Discussion Of Results Of Studying the System Of Automated Co...mentioning

confidence: 95%

“…Our review [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] reveals the need to find a method for displaying the results of solving systems of nonlinear differential equations of several arguments in the form of an approximation model. It can be used to modernize the computational and control subsystem, which is part of the intra-reactor control system.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…There are various models that describe intra-reactor processes. They can be described, for example, using ordinary differential equations [6], or using models based on differential equations of fractional order [7]. The level of development of computer technology, which is allowed to control a nuclear reactor, does not allow for real-time calculations based on such models.…”

Section: Introductionmentioning

confidence: 99%

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Designing an automated control system for changing NPU energy release compensating for arising internal disturbing factors based on their approximation model

Brunetkin

Beglov

Maksymov

et al. 2022

EEJET

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The necessity of keeping in working condition the sources of traditional electricity generation for dispatching the supply of electricity from the capacities of "green" electricity generation has been realized. Potentially, one of these sources may be nuclear power plants. An obstacle to their use as a participant in dispatching is the impossibility of maneuvering with power in a wide range. One of the reasons for limiting the range is the complexity of automatic compensation for the reactivity of the xenon oscillation reactor. Existing physical and mathematical models for calculating the parameters of processes in the reactor due to changes in its power because of its complexity cannot be used in operational automatic control systems. The task of constructing an approximation linear model of processes in the reactor in the form of a transfer function is set. To build an approximation model, the inverse problem is solved. The desired model is based on the condition of coincidence at some time interval of the results of solving it with the results of a detailed physical-mathematical model. To this end, a number of sequential actions are performed, including approximation of the results of the expanded physical-mathematical model using a series, the application of the Laplace transformation to this series, as well as Pade approximation obtained in the space of the images of the series. The method of control was proposed and an automatic control system (ACS) for energy production of nuclear power plant has been synthesized. To this end, the management system was integrated with the approximation model of the active zone, which provided the possibility for adjusting the quantitative degree of stability of the active zone. ACS consists of three control circuits. Such a structure has made it possible to compensate for the xenon oscillations that occur. Additionally, ACS reduces the movement of adjusting rods in the active zone, which reduces local power surges in nuclear fuel and leads to an increase in its durability

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Section: Discussion Of Results Of Studying the System Of Automated Co...mentioning

confidence: 95%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Designing an automated control system for changing NPU energy release compensating for arising internal disturbing factors based on their approximation model

Brunetkin

Beglov

Maksymov

et al. 2022

EEJET

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show abstract

“…Xenon concentration is calculated using the xenon and iodine (a precursor to xenon) mass balances in a reactor [7]: The results of the reactivity calculations are summarized in Figure 39. The black Net line is the one calculated form the reversed point kinetics equations using the known power from PDC load following calculations.…”

Section: Reactivity Requirementsmentioning

confidence: 99%

Load Following Analysis of the Holos-Quad 10MWe Micro-Reactor with Plant Dynamics Code

Moisseytsev¹,

Filippone²

2022

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Theta method applied to two-energy groups point kinetics equations

Cedeño-Girón,

Nahla,

Mazo-Zuluaga

2023

Progress in Nuclear Energy

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Modeling and Estimation of Nuclear Reactor Performance Using Fractional Neutron Point Kinetics with Temperature Effect and Xenon Poisoning

Cited by 5 publications

References 17 publications

Designing an automated control system for changing NPU energy release compensating for arising internal disturbing factors based on their approximation model

Designing an automated control system for changing NPU energy release compensating for arising internal disturbing factors based on their approximation model

Load Following Analysis of the Holos-Quad 10MWe Micro-Reactor with Plant Dynamics Code

Theta method applied to two-energy groups point kinetics equations

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