Allocation of transmission active losses through a novel power tracing-based technique
One of the challenging issues in a restructured power system is fair allocation of transmission losses to its users. This study proposes two new algorithms to trace the active power produced (consumed) by the generators (loads) for assigning active losses to the generators or loads separately. In the proposed methods, there is no need to convert the study system to a system for which the active power at both ends of each transmission line are the same. In these algorithms, based on AC power flow calculations, new matrices called outflow-line and inflow-line are first created. Then, according to the properties of these matrices, four other matrices, which express active power flows of the transmission lines in terms of active power productions (consumptions) of the generators (loads), are then derived. These matrices are employed not only to allocate the active loss of every transmission line to each generator or load, but also to determine the contribution of each generator to the active power consumption of each load. The results obtained by implementing the proposed algorithms on a five-bus system and two IEEE standard systems indicate its superiority over some earlier methods.