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...

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 users of electricity networks are organized into groups where the production and consumption of electricity is in balance. This paper studies the formation of these balancing groups using a cooperative game in partition function form defined over an ideal (lossless) DC load flow model of the...