# IMPLEMENTATION OF THE MATHEMATICAL MODEL FOR THE CALCULATION OF THE CS RELIABILITY BY THE TYPE OF GPA TECHNOLOGICAL CONNECTIONS USING BLOCK PROGRAMMING TOOLS

## Authors

• D. F. Tymkiv Institute of information technology, ІFNTUOG
• A. V. Semenchuk Institute of information technology, ІFNTUOG
• O. S. Tsareva Institute of information technology, ІFNTUOG
• T. O. Vavruk Institute of information technology, ІFNTUOG

## Keywords:

mathematical modeling, reliability, compressor stations, gas pumping unit, mathematical expectation

## Abstract

One of the ways to solve this problem of efficient use of energy resources in modern conditions is to reduce gas consumption in the process of its transportation; full utilization of heat at compressor stations of main gas pipelines.GTS is characterized by the multi-level network structure, significant dimensions and relaxation times of the disturbance, distributed and discrete control influences, and a high degree of uncertainty of both internal parameters and external factors. GTS exchanges mass, momentum and energy with the environment. Separate components of the GTS interact with each other, and therefore a change in the mode of operation of a separate section leads to a change in the mode of the entire system. Calculation of parameters of functioning of such a system is a complex mathematical problem. Its solution requires the construction of adequate mathematical models of individual GTS objects and the development of appropriate algorithms to ensure the necessary accuracy of calculations of parameter schemes from combined gas pumping units (GPUs).In general, in order to establish the working parameters of the HPA, the following calculations are carried out: mode and energy parameters (gas pressure and temperature at the HPA outlet, as well as fuel gas consumption); gas flow parameters at the supercharger outlet; areas of permissible changes in parameters of the GPA; the performance of the superchargers and the frequency of revolutions at which the pumping of the gas flow with the given operational parameters is ensured; parameters of the technical condition of superchargers and their drives according to the measured data.In this article, such a parameter as reliability is selected for calculation. The main attention is focused on the conditions related to the evaluation of the effectiveness of the work of the CS. Readiness coefficients were determined: on the one hand, from purely probabilistic and technical positions, on the other - a positional indicator of the object's work efficiency, based on average values. Provision of estimated sums for determining productivity coefficients, state probabilities and other auxiliary values for a number of technological schemes presented in the articles is given. The conclusions of the results of the implementation of the mathematical model using block programming were drawn, and the adequacy of the model was proven. One of the methods of applying the model for choosing the optimal type of connection of the HPA in the design of new CSs is demonstrated.

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2023-06-13

## How to Cite

Tymkiv, D. F., Semenchuk, A. V., Tsareva, O. S., & Vavruk, T. O. (2023). IMPLEMENTATION OF THE MATHEMATICAL MODEL FOR THE CALCULATION OF THE CS RELIABILITY BY THE TYPE OF GPA TECHNOLOGICAL CONNECTIONS USING BLOCK PROGRAMMING TOOLS. METHODS AND DEVICES OF QUALITY CONTROL, (1(50), 93–100. https://doi.org/10.31471/1993-9981-2023-1(50)-93-100

## Section

MATHEMATICAL MODELLING FOR THE UNDESTROYED CONTROL PROBLEMS