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Review article

Mathematical properties of formulations of the gas transmission problem

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

Fulltext: english, pdf (344 KB) pages 133-137 downloads: 418* cite
APA 6th Edition
De Wolf, D. (2017). Mathematical properties of formulations of the gas transmission problem. Tehnički glasnik, 11 (3), 133-137. Retrieved from https://hrcak.srce.hr/186660
MLA 8th Edition
De Wolf, Daniel. "Mathematical properties of formulations of the gas transmission problem." Tehnički glasnik, vol. 11, no. 3, 2017, pp. 133-137. https://hrcak.srce.hr/186660. Accessed 26 Jul. 2021.
Chicago 17th Edition
De Wolf, Daniel. "Mathematical properties of formulations of the gas transmission problem." Tehnički glasnik 11, no. 3 (2017): 133-137. https://hrcak.srce.hr/186660
Harvard
De Wolf, D. (2017). 'Mathematical properties of formulations of the gas transmission problem', Tehnički glasnik, 11(3), pp. 133-137. Available at: https://hrcak.srce.hr/186660 (Accessed 26 July 2021)
Vancouver
De Wolf D. Mathematical properties of formulations of the gas transmission problem. Tehnički glasnik [Internet]. 2017 [cited 2021 July 26];11(3):133-137. Available from: https://hrcak.srce.hr/186660
IEEE
D. De Wolf, "Mathematical properties of formulations of the gas transmission problem", Tehnički glasnik, vol.11, no. 3, pp. 133-137, 2017. [Online]. Available: https://hrcak.srce.hr/186660. [Accessed: 26 July 2021]

Abstracts
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

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