@inproceedings{mor-lop-fel-21-aa-3phase, author = {Mor{\'a}n, John Pe{\~n}aloza and L{\'o}pez, Julio C. and Feltrin, Antonio Padilha}, title = {Three-Phase Optimal Power Flow based on Affine Arithmetic}, booktitle = {IEEE PES Innovative Smart Grid Technologies Conference - Latin America (ISGT-LA 2021)}, year = 2021, volume = {}, number = {}, pages = {1-5}, doi = {10.1109/ISGTLatinAmerica52371.2021.9543033}, issn = {2643-8798}, month = sep, comment = {Reduced AA}, abstract = {This paper presents a non-linear stochastic mathematical formulation for the three-phase optimal power flow problem, which addresses the uncertainties of both the load and the renewable generation using the self-validation method called Affine Arithmetic. The affine shapes for tree-phase variables was performed using the theoretical approach of Reduced Affine Arithmetic together with the Chebyshev approximation method for non-affine operations. The stochastic mathematical model is formulated into as an equivalent optimization problem through a set of affine operators to later be solved by a two-stage stochastic optimization problem. Two three-phase distribution systems 19-bus and 25-bus are used to show the effectiveness of the proposed methodology.}, altkeys = {mor-pen-lop-fel-21-aa-3phase} }