@article{din-bor-lif-guo-sun-guw-zho-14-aa-obbt,
  author = {Ding, Tao and Bo, Rui and Li, Fanxing and Guo, Qinglai and Sun, Hongbin and Gu, Wei and Zhou, Gan},
  title = {Interval Power Flow Analysis using Linear Relaxation and Optimality-Based Bounds Tightening ({OBBT}) Methods},
  journal = {IEEE Transactions on Power Systems},
  year = 2014,
  volume = {30},
  number = {1},
  pages = {177-188},
  month = jan,
  doi = {10.1109/TPWRS.2014.2316271},
  comment = {Formulates the power flow problem as a quadratically constrained quadratic programming problem, then uses affine approximations and ``optimality-based bounds tightening'' to solve it.  Compares their method to AA and claims it is better.},
  abstract = {With increasingly large scale of intermittent and non-dispatchable resources being integrated into power systems, the power flow problem presents greater uncertainty. In order to obtain the upper and lower bounds of power flow solutions including voltage magnitudes, voltage angles and line flows, Cartesian coordinates-based power flow is utilized in this paper. A quadratically constrained quadratic programming (QCQP) model is then established to formulate the interval power flow problem. This non-convex QCQP model is relaxed to linear programming problem by introducing convex and concave enclosures of the original feasible region. To improve the solutions bounds while still encompassing the true interval solution, optimality-based bounds tightening (OBBT) method is employed to find a better outer hull of the feasible region. Numerical results on IEEE 9-bus, 30-bus, 57-bus, and 118-bus test systems validate the effectiveness of the proposed method.}
}