2015/06/23 by Krishnamurthy Dvijotham, Dvijotham, Krishnamurthy, Konstantin Turitsyn +1
Decision Sciences · Engineering · #FOS: Electrical engineering #Low-power high-performance VLSI design #Optimal Power Flow Distribution #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1506.07191
openalex publication_date 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a new approach for construction of convex analytically simple regions where the AC power flow equations are guaranteed to have a feasible solutions. Construction of these regions is based on efficient semidefinite programming techniques accelerated via sparsity exploiting algorithms. Resulting regions have a simple geometric shape in the space of power injections (polytope or ellipsoid) and can be efficiently used for assessment of system security in the presence of uncertainty. Efficiency and tightness of the approach is validated on a number of test networks.