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We propose a new method for generating semidefinite relaxations of optimalpower flow problems. The method is based on chordal conversion techniques: bydropping some equality constraints in the conversion, we obtain semidefiniterelaxations that are computationally cheaper, but potentially weaker, than thestandard semidefinite relaxation. Our numerical results show that the newrelaxations often produce the same results as the standard semidefiniterelaxation, but at a lower computational cost.

Reduced-Complexity Semidefinite Relaxations of Optimal Power Flow Problems