Graphical models for optimal power flow

@article{Dvijotham2016GraphicalMF,
  title={Graphical models for optimal power flow},
  author={Krishnamurthy Dvijotham and Michael Chertkov and Pascal Van Hentenryck and Marc Vuffray and Sidhant Misra},
  journal={Constraints},
  year={2016},
  volume={22},
  pages={24-49}
}
Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In this paper, we formulate the optimal power flow problem over tree networks as an inference problem over a tree-structured graphical model where the nodal variables are low-dimensional vectors. We adapt the standard dynamic programming algorithm for inference… 
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