How to efficiently incorporate facts devices in optimal active power flow model

Abstract

This paper presents for the first time how to easily incorporatefacts devices in an optimal active power flow model such that an efficientinterior-point method may be applied. The optimal active power flow model isbased on a network flow approach instead of the traditional nodal formulationthat allows the use of an efficiently predictor-corrector interior point methodspeed up by sparsity exploitation. The mathematical equivalence between thenetwork flow and the nodal models is addressed, as well as the computationaladvantages of the former considering the solution by interior point methods.The adequacy of the network flow model for representing facts devices is presentedand illustrated on a small 5-bus system. The model was implementedusing Matlab and its performance was evaluated with the 3,397-bus and 4,075-branch Brazilian power system which show the robustness and efficiency of theformulation proposed. The numerical results also indicate an efficient tool foroptimal active power flow that is suitable for incorporating facts devices.