ИСТИНА

Markets for energy resources usually include own transmission networks. We consider the welfare optimization problem, taking into account the production costs, consumer utilities and the costs of transmission capacities increment. The problem is NP-hard under positive fixed costs of transmission lines expansion. We provide a method for optimization of star-type networks based on the concepts of competitive and complementary network lines. We confirm its efficiency by the results of a computation experiment. In addition, we consider a method of the supply-demand balances transfer to the root node. The method provides a solution of the auxiliary problem with zero fixed costs of the lines’ expansion. We consider a modification of the method in order to obtain an approximate solution and evaluate the error. The problem of the optimal development of the transmission system till a given planning horizon is also considered, and we reduce the problem to a finite set of convex auxiliary problems.