@article{luf-dup-liu-liu-19-aa-hybrid, author = {Lu, Fang and Du, Pingjing and Liu, Hongda and Liu, Fanming}, title = {Affine Arithmetic-Based Power Flow Algorithm Considering Uncertainty for Hybrid {AC/DC} Grids Incorporating {VSCs}}, journal = {IET Generation, Transmission {\&} Distribution}, volume = {13}, number = {10}, pages = {1856-1864}, year = 2019, doi = {10.1049/iet-gtd.2018.6095}, abstract = {The randomness of new energy generation and variation in load demands bring uncertainty to large AC/DC grids. Traditional deterministic power flow equations have difficulty coping with the uncertainties of new energy generation and load. Here, an affine arithmetic (AA)-based uncertainty power flow algorithm for hybrid AC/DC grids incorporating voltage source converters (VSCs) is presented. VSC station and DC grid models are established using AA. Diverse VSC control modes are considered in the power flow iterations. A comparison using the Monte--Carlo method shows that the proposed algorithm is able to obtain a feasible solution. The proposed method can be used by power system operators and planners to monitor and control AC/DC grids under various uncertainties.} }