A novel correlated intervals-based algorithm for distribution power flow calculation

This paper proposes a novel correlated intervals-based algorithm for calculation of distribution power flows. The non-conservative interval operations are proposed. It takes into account the uncertainties of renewable resource-based generations (wind generators, solar panels and other) and distribution network loads. Their correlations are calculated from historically recorded patterns of input variables and directly integrated into the adopted forward-backward distribution power flow algorithm. The proposed algorithm is tested on two distribution network test examples: (1) 6-bus with the aim of detailed illustration of some algorithmic steps, and (2) 1003-bus for verification of global performances of the proposed algorithm. Obtained results are verified by Monte Carlo sampling and power flow calculations.