Abstract
The methods of network analysis are widely used in mathematical modelling of optimal gas flows to solve the problems of long-term planning and development of gas systems. However, the modern development of gas systems, their renovation and modernization require that the new trends in innovative transformation should be taken into account in the mathematical models for their research as well. This paper is focused on the proposals for considering the new properties of gas system in the mathematical flow distribution model as compared to the traditional formulation. Case study involves the calculation of gas flows for an aggregated unified gas supply system for the period up to 2030. This calculation allows for the edge coefficients and a gain in the transmission capacities of the edges.
Highlights
The relevance of the research is due to the increasing scale and complexity of gas systems (GS) [1]
The modern development of gas systems, their renovation and modernization require that the new trends in innovative transformation should be taken into account in the mathematical models for their research [2]
The modern development of gas systems, their renovation and modernization require that the new trends in innovative transformations be taken into account in mathematical models for their research
Summary
The relevance of the research is due to the increasing scale and complexity of gas systems (GS) [1]. Melentiev Energy Systems Institute SB RAS has developed a set of mathematical models to solve complex hierarchically-subordinate problems of optimal development of future gas systems [3, 4]. The methods of network analysis are used to solve the problems of long-term planning and development of gas systems both at the first level (a generalized problem of gas flow distribution) and at the subsequent ones, in particular, at the third level (where the reliability of a complex gas system is assessed when calculating its operating conditions). The relevance of this research is based on the need to consider the generalized problem of flow modeling in terms of an analysis and consideration of new properties of the gas system as compared to the traditional formulation
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