Mathematical Properties of Formulations of the Gas Transmission Problem - HAL-SHS - Sciences de l'Homme et de la Société Accéder directement au contenu
Article Dans Une Revue TEHNIČKI GLASNIK Année : 2017

Mathematical Properties of Formulations of the Gas Transmission Problem

Résumé

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.
Fichier principal
Vignette du fichier
14-TG-20170815203704-F-camera_ready.pdf (409.64 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

halshs-02396747 , version 1 (06-12-2019)

Identifiants

  • HAL Id : halshs-02396747 , version 1

Citer

Daniel de Wolf. Mathematical Properties of Formulations of the Gas Transmission Problem. TEHNIČKI GLASNIK, 2017, 11, pp.133 - 137. ⟨halshs-02396747⟩
23 Consultations
127 Téléchargements

Partager

Gmail Facebook X LinkedIn More