Abstract
This paper proposes taking into account new properties of gas supply systems in a mathematical model of flow distribution in comparison with the traditional formulation. The approach suggests introducing an arc coefficient, which allows for changes in the magnitude of gas flow passing along the arc, a vector of an increase in the arc throughput, and lower constraints on the gas flow along the arc. We also propose considering a new economic environment, namely, new criteria for optimizing the flow distribution and setting fictitious gas prices for consumers. These criteria enable us to take account of the priority gas supply to a definite group of consumers. As an example, the calculation of gas flows for the aggregated Unified Gas Supply System (UGSS) for 2030 is considered. This calculation takes into account the arc coefficients and the increase in the throughput of arcs.
Highlights
The relevance of the research is due to the growing scale and complexity of gas supply systems (GSS) [1]
Modern mathematical models for studying the development of gas supply should take into account the transformations that reflect the renovation and modernization of gas supply systems [2, 3]
Research teams in other countries conduct such studies. They investigate the development of the gas supply system of Europe [9, 10], which includes gas supply systems of different countries, and take account of gas supplies from the Russian Unified Gas Supply System (UGSS) [11,12,13,14,15]
Summary
The relevance of the research is due to the growing scale and complexity of gas supply systems (GSS) [1]. The construction of new gas transmission corridors leads to an increase and complication of gas supply systems. Modern mathematical models for studying the development of gas supply should take into account the transformations that reflect the renovation and modernization of gas supply systems [2, 3]. In this regard, this paper proposes considering the generalized problem of flow modeling from the viewpoint of analyzing and taking into account the new properties of the gas supply system in comparison with the traditional formulation
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