Construction of a method for representing an approximation model of an object as a set of linear differential models

Brunetkin, Olexander; Beglov, Konstantin; Brunetkin, Vladimir; Maksymov, Оleksiy; Maksymova, Oksana; Havaliukh, Oleh; Demydenko, Volodymyr

doi:10.15587/1729-4061.2020.220326

Cited by 3 publications

(4 citation statements)

References 15 publications

(27 reference statements)

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“…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%

“…As the initial truncated series, (1) with coefficients from Table 3 are used. Approximation expressions in the form of a rational fraction take, as in (9), the form: The numbers of coefficients of Padé approximation and roots of its denominator for the case of a reactor load increase 1 .…”

Section: Approximation Model and Transfer Function Of Intra-reactor P...mentioning

confidence: 99%

“…The approximation and simplified models have a difference. The approximation model is built on the basis of the results of calculations on the full model [9]. In this case, the information is not discarded.…”

Section: Introductionmentioning

confidence: 99%

“…The order of the equation can be chosen. The limiting property of this method in the form of [9] is the use of a single reaction of the system to external influences. In other words, a model constructed in this way can approximate a process that depends on a change in only one argument, such as time.…”

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: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Approximation Model and Transfer Function Of Intra-reactor P...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Inspection Mobile Robot’s Control System with Remote IoT-based Data Transmission

Kondratenko

Gerasin

Kozlov

et al. 2021

JMM

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The article presents the main stages of the development of remote control system for the inspection mobile robot operating on inclined ferromagnetic surfaces. The mobile robot remains on the surface and moves along working areas using separate clamping permanent magnets and caterpillars. The focus is on the control system’s architecture and remote data transmission based on Internet of Things technologies. Features of non-expensive Arduino Uno and WeMos D1 R2 mini microcontrolled development boards, cloud service Blynk, as well as multi-tab Android application interactions are revealed at the inspection mobile robot movement on the inclined surface. Experimental results of the proposed system show a good compatibility of chosen hardware, user-friendly human-machine interface and high mobility for future research of modern control algorithms at Internet of Things approach implementation for the extreme robotics.

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Implementation of the Approximated Model as an Automated Control System of the Generation Ii Reactor Energy Release

Vataman,

Zhanko

2023

GoS

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Due to the complexity of compensating for reactivity under internal and external disturbances, it is very difficult to maneuver the power output of a nuclear reactor. Moreover, the process parameters calculated as a result of power changes cannot be used in operational automated control systems due to their complexity using physical and mathematical models. An approximation model of the processes occurring in a nuclear reactor in the form of a transfer function was proposed. Integrated into the control system, the approximation model makes it possible to compensate for xenon oscillations and regulate the quantitative measure of nuclear reactor stability.

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Construction of a method for representing an approximation model of an object as a set of linear differential models

Cited by 3 publications

References 15 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

Inspection Mobile Robot’s Control System with Remote IoT-based Data Transmission

Implementation of the Approximated Model as an Automated Control System of the Generation Ii Reactor Energy Release

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