Abstract:
An electrical transmission network consists of producers, consumers and the power lines connecting them. We build an ideal (lossless) DC load ow 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 and the power lines represented by the edges, each with a given power transmission capacity and admittance value describing its ability to transmit electricity. Today's transmission networks are highly interconnected, but or- ganisationally partitioned into several subnetworks, the so-called bal- ancing groups with balanced production and consumption. We study the game of balancing group formation and show that the game con- tains widespread externalities that can be both negative and positive. We study the stability of the transportation network using the recur- sive core. While the game is clearly cohesive, we demonstrate that it is not necessarily superadditive. We argue that subadditivity may be a barrier to achieve full cooperation. Finally the model is extended to allow for the extension of the underlying transmission network.