The load flow calculation in unbalanced radial electric networks with distributed generation

Besides industrial or domestic customers, some single-phase distributed generators can impose an unbalanced operation of electrical networks. In the case of balanced power systems operated in radial schemes, the load flow calculation can be performed using a particular method known as the backward/forward sweep. For unbalanced radial electrical networks, we can consider the backward/forward sweep algorithm with some particular adaptations. For this purpose, authors propose to model the electrical three phase quantities as abstract data types characterized by three parameters and some definite operations. By implementing this model, the computation of power flow in unbalanced power systems is reduced to the evaluation of some simplified expressions. To illustrate the proposed methodology, authors have developed original software that allows performing all necessary operations with three-phase unbalanced electrical quantities.