Review article

Mathematical properties of formulations of the gas transmission problem

Daniel De Wolf orcid.org/0000-0001-5948-6648 ; TVES, Université du Littoral Côte d’Opale, Dunkerque, France

Abstract

The paper presents the mathematical properties of several formulations for the gas transmission problem that account for the nonlinear flow pressure relations. The form of the nonlinear flow pressure relations is such that the model is in general nonconvex. However, we show here that under a restrictive condition (gas inlet or gas pressure fixed at every entry/outgoing node) the problem becomes convex. This result is obtained by use of the variational inequality theory. We also give a computational method to find a feasible solution to the problem and give a physical interpretation to this feasible solution.

Keywords

OR in natural resources: natural gas; variational inequalities theory: applied to prove convexity; convexity: sufficient conditions for

Hrčak ID:

186660

URI

https://hrcak.srce.hr/186660

Publication date:

15.9.2017.

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