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

• Published in: International journal of electrical power & energy systems Vol. 90; pp. 245 - 255
• Main Authors: Vidović, Predrag M., Sarić, Andrija T.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2017
• Subjects: Distribution network; Interval arithmetic; Power flow; Uncertainty; Uncertainty; Power flow; Distribution network; Interval arithmetic
• ISSN: 0142-0615; 1879-3517
• DOI: 10.1016/j.ijepes.2016.12.019

•Correlations of main input variables are investigated and mathematically specified.•Uncertainties and correlations are directly included in the power flow algorithm.•Conservativeness is reduced significantly and results are more realistic.•This is verified by the combined Monte Carlo selection and power flow calculations. 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.