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A Dynamic Multilevel Model of the European Gas Market

Submission Status:published
  • The European gas market is governed by rules that are agreed on by the European Union. We present a mathematical market model that takes into account this structure, where the technical system operator (TSO) offers certain transportation capacities that can be booked and later nominated within the previously chosen bookings. The TSO also fixes booking fees and defines an operational control of the gas pipeline system in order to deliver the gas according to the nominations. Since the gas flow is governed by a system of partial differential equations, to realize this control structure partial differential equations (PDEs) should be involved in the model. While the four level gas market model has been discussed previously, in this paper we take into account the flow model by PDEs in the discussion of the model and in the reduction to a single level problem, where we also state the corresponding necessary optimality conditions.

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Metadaten
Author:Martin Gugat, Michael Schuster, Sonja Steffensen
URL:http://cot.mathres.org/archives/1488
Publisher:Communications in Optimization Theory
Document Type:Article
Language:English
Date of Publication (online):2022/06/27
Date of final exam:2022/11/30
Release Date:2022/06/27
Tag:Gas Dynamics; Gas Market; Isothermal Euler Equations; Nodal Control
Issue:Volume 2023
Article Number:Article ID 11
Page Number:26
First Page:1
Last Page:26
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
RWTH Aachen University
Subprojects:C03
C05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International