A decentralised DC optimal power flow model

The DC optimal power flow(DC-OPF) is at the heart of the actual centralized market clearing mechanisms used in Electrical Power Markets. Through the last decade several distributed clearing mechanisms have been proposed in order to decentralise it. A common link in these approaches is that they address this problem as a decomposition of the whole system into subareas. Based on this decomposition they propose alternative methods to reach the global solution. However, in order to achieve their solution they add some constraints to the original problem. This document proposes a decentralized model for the DC-OPF which works in a bottom-up fashion without any additional constraint. The system is decomposed into its basic components. Next, by using the auxiliary problem principle a decentralized solution to the OPF is proposed. The application of this decomposition has a positive side effect: the complexity of the system, as a result of the network interconnectivity, is converted into local intercommunication tasks.