Title :

Mathematical Properties of Formulations of the Gas Transmission Problem

Author(s) :

De Wolf, Daniel [Auteur]
Université du Littoral Côte d'Opale [ULCO]
Territoires, Villes, Environnement & Société - ULR 4477 [TVES]

Journal title :

TEHNIČKI GLASNIK

Pages :

133 - 137

Publisher :

University North Koprivnica

Publication date :

2017

ISSN :

1846-6168

English keyword(s) :

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

HAL domain(s) :

Sciences de l'Homme et Société/Gestion et management

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Territoires, Villes, Environnement & Société (TVES) - ULR 4477

Source :

Harvested from HAL