Mathematical Properties of Formulations of the Gas Transmission Problem

Daniel de Wolf ()
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Daniel de Wolf: TVES - Territoires, Villes, Environnement & Société - ULR 4477 - ULCO - Université du Littoral Côte d'Opale - Université de Lille, ULCO - Université du Littoral Côte d'Opale

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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 (search for similar items in EconPapers)
Date: 2017
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02396747
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Published in TEHNIČKI GLASNIK, 2017, 11 (3), pp.133 - 137

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-02396747

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