PROCESSING OF EXPERIMENTAL DATA OF THE PROCESS  
OF REFINING NUCLEAR MATERIAL Zr1%Nb BY ELECTRON-BEAM 
MELTING BY MEANS OF INTERVAL ANALYSIS METHODS

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The mathematical method of optimizing the amount of the alloying element Fe in structural zirconium alloys Zr1%Nb of fuel elements cladding of nuclear reactor-cores of nuclear power plants on the basis of physical experiments to increase their corrosion resistance is considered. Alloying the Zr1%Nb alloy with Fe is promising in the development of the technology for the production of domestic materials for fuel elements claddings for reactors with high reliability and safety. To process the results of experimental studies of corrosion of zirconium alloy with different Fe content, a mathematical method of two-dimensional polynomial comb regression was proposed with its implementation in the Python programming language based on the theory of “machine learning”. The application of this method made it possible to determine the optimal amount of the alloying element Fe for zirconium alloy Zr1%Nb of fuel elements cladding of nuclear power plant reactors with pressurized water.

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

THE METHOD FOR OPTIMIZING THE IRON CONTENT IN THE STRUCTURAL MATERIAL Zr1%Nb FOR FUEL ELEMENT CLADDING OF NPP NUCLEAR REACTORS

Yefimov¹,

Pylypenko²,

Lyubchyk³

et al. 2023

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Estimation of the Dependence Parameters of Nuclear Structural Materials Hardness on the Content of Gas Impurities: An Interval Approach

Potanina¹,

Yefimov²,

Pylypenko³

2021

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The applications of the interval and standard probabilistic approaches for verifying the reliability of the results of an experiment studying the mechanical properties of nuclear materials are compared. The presence of “outliers” in a sample of hardness values for hafnium ingots is studied with for fixed oxygen mass content. The situation of measurement error limitation without reliable information about its distribution is considered. The correctness of the application of numerical methods of interval analysis for processing experimental data under conditions of uncertainty and noisy experimental data is shown. Determination of the dependence of the Brinell hardness of refined hafnium samples on the mass oxygen content was performed by a combination of methods: removal of anomalous measurements by interval analysis methods and approximation of data from truncated samples by the method Levenberg-Marquardt minimization.

Interval Models of Temperature Characteristics of Superheater Separators in Nuclear Power Plant Units With the Capacity of 1000 Mw

Yefimov¹,

Potanina²,

Kavertsev³

et al. 2022

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The analysis of the influence of changes in the parameters of steam superheater separators SHS-1000 of nuclear power plant units with the capacity of 1000 MW on the efficiency and safety of their operation, including the temperature characteristics at the nominal and partial operating modes of power units, has been carried out. Based on the experimental data of the thermal tests of the power unit, the temperature characteristic of the second stage of the SHS-1000 has been constructed in the form of the dependence of the temperature change of the heated steam at the second stage of the SHS on the change in the operating mode of the power unit. To create a correct mathematical model of this dependence, taking into account the limited amount of experimental data and the uncertainty of information about the structure and the probabilistic nature of measurement error during testing, the use of numerical methods of interval analysis has been proposed. Interval analysis has allowed to obtain an interval model that describes the receiver, which contains all possible values of the dependence of temperature change of the heated steam at the second stage of SHS on the unit operating mode (the electrical load). It has been shown that in conditions of limited initial data and uncertainty of information about it, numerical methods of interval analysis allow to create interval models of operational (energy) characteristics technological processes and equipment of NPP units with the maximum possible correspondence to real processes and objects, which is important to ensure high efficiency and safe operation of power units.