Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System

Submission Status:Published
  • In this work we analyze the structural properties of the set of feasible bookings in the European entry-exit gas market system. We present formal definitions of feasible bookings and then analyze properties that are important if one wants to optimize over them. Thus, we study whether the sets of feasible nominations and bookings are bounded, convex, connected, conic, and star-shaped. The results depend on the specific model of gas flow in a network. Here, we discuss a simple linear flow model with arc capacities as well as nonlinear and mixed-integer nonlinear models of passive and active networks, respectively. It turns out that the set of feasible bookings has some unintuitive properties. For instance, we show that the set is nonconvex even though only a simple linear flow model is used.

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Author:Lars Schewe, Martin Schmidt, Johannes Thürauf
Parent Title (German):4OR
Document Type:Article
Date of Publication (online):2018/09/26
Date of first Publication:2018/10/03
Release Date:2018/10/03
Tag:Booking; Convexity; Entry-exit system; Flow models; Gas networks
Page Number:24
First Page:197
Last Page:218
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Universität Trier
University of Edinburgh
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International