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.
New methods and approaches to development of nuclear power plant unit imitation models development. An imitation model is proposed for nuclear power plant unit developed on the basis of oriented graph applied to unit flow diagram description logic-numerical operators for calculation of parameters and characteristics determining its operation efficiency, reliability and safety. Automatic system is described developed on the basis of imitation model for decision-making support, applied to analysis of VVER nuclear power plant unit operation efficiency with due consideration of equipment operation reliability and safety indices.
The possibilities of applying the methods and models of interval analysis, which take into account the uncertainties in the specification of data for Zr1%Nb alloys, to more accurately determine the relationship between the microhardness of Zr1%Nb alloy samples and the content of oxygen in them, have been investigated. The correctness of the application of methods and models of interval analysis for processing the results of experiments to study the properties of nuclear materials is shown.
The results of studies of parameters, characteristics and performance of NPP units by mathematical modeling methods using computer-integrated technologies for their implementation, which allow to simulate many functional states of systems and equipment of NPP units during the simulation experiment are presented. The general structure of interaction of blocks of software complex for analysis of efficiency of work and parametric diagnostics of NPP units with WWER is developed. The structure of the block of programs of parametric diagnostics of equipment of NPP units is presented. The essence of methods and approaches of parametric diagnostics of power unit equipment is considered.
The study analizes the requirements for instrumentation and control systems of NPP units, which are currently under modernization in accordance with the state program for long-term operation of Ukrainian NPP units. The requirements established in the documents that regulate reliability and quality of performing functions by these systems emphasize the importance of developing methods to improve the accuracy of parameter measurements, methods to increase reliability of assessing safety and reliability indexes of NPP unit operation, as well as the accuracy of personnel decisions in the presence of many uncertainties and inaccuracies in the description of initial data that affect implementing necessary management actions by personnel. The paper presents the examples of the impact of initial data uncertainty on solving the tasks of safety and reliability assessment for NPP units. The study analyzes existing methods to account and describe initial data uncertainty and modeling uncertainty in the tasks of safety and operational reliability assessment for NPP units. The possibility of applying mathematical methods and tools of interval analysis to improve reliability of solving the issues of assessing safety, reliability and efficiency of NPP unit operation under conditions of initial data uncertainty was justified. The study presents the basic principles of interval calculations, which allow considering inaccuracies when specifying the initial data, parameter uncertainties and multi-mode nature of functioning of such complex technical systems as NPP units. The prospects of applying the main theoretical provisions of interval analysis and their implementation in the form of numerical methods and models to solve current issues of assessing safety, reliability and efficiency of accident-free operation of NPP units in compliance with the state program for long-term operation were specified.
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