An electrical transmission network consists of producers, consumers and the power lines connecting them. We build an ideal (lossless) DC load flow model as a cooperative game over a graph with the producers and consumers located at the nodes, each described by a maximum supply or desired demand...

The natural gas supply of the Eastern European countries located between Germany and Russia has always been problematic. A historical reliance on Russia has been eased by increased connectivity to the West. Recent developments may lead to a diversified source but via a single supply route,...

Existing cooperative game theoretic studies of bargaining power in gas pipeline systems are based on the so called characteristic function form (CFF). This approach is potentially misleading if some pipelines fall under regulated third party access (TPA). TPA, which is by now the norm in the EU,...

To understand the impact of keeping Nord Stream 2 off the map, we model the European natural gas market from the point of view of supply security. Focusing on the network aspects, we propose a novel framework to measure supply security, combining a linear programming approach with a risk...

A cooperative game theoretic framework is introduced to study the behavior of cooperating and competing electrical energy providers considering price-preference rational consumers. We analyze the interactions of generators in an idealized environment described by a DC load flow model where the...

Local routing protocols in scale free networks have been extensively studied. In this paper we consider a wireless contextualization of this routing problem and analyze on the one hand how cooperation affects network efficiency, and on the other hand the stability of cooperation structures....

Optimal power flow (OPF) problems are focussing on the question how a power transmission network can be operated in the most economic way. The general aim in such scenarios is to optimize generator scheduling in order to meet consumption re-quirements, transmission constraints and to minimize...