@article{guw-luo-din-men-she-14-aa-powflow,
  author = {Wei Gu and Lizi Luo and Tao Ding and Xiaoli Meng and Wanxing Sheng},
  title = {An Affine Arithmetic-Based Algorithm for Radial Distribution System Power Flow with Uncertainties},
  journal = {International Journal of Electrical Power {\&} Energy Systems},
  volume = {58},
  pages = {242-245},
  year = 2014,
  doi = {10.1016/j.ijepes.2014.01.025},
  abstract = {This letter presents an algorithm for radial distribution system power flow in the presence of uncertainties. To reduce the overestimation of bounds yielded by correlation of variables in interval arithmetic (IA), affine arithmetic (AA) is applied in this study to carry out tests of distribution system power flow. Compared with the algorithm based on IA, the proposed algorithm narrows the gap between the upper and lower bounds of the power flow solution. IEEE 33-bus and 69-bus test systems are used to demonstrate the effectiveness of the proposed algorithm.}
}