3 papers
math.OC2019
Implied Constraint Satisfaction in Power System Optimization: The Impacts of Load Variations
Line Roald, Daniel K. Molzahn
In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the…
math.OC2016
Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens
Optimal power flow (OPF) is one of the key electric power system optimization problems. "Moment" relaxations from the Lasserre hierarchy for polynomial optimization globally solve…
math.OC2014
Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem
Daniel K. Molzahn, Ian A. Hiskens
Convex relaxations of non-convex optimal power flow (OPF) problems have recently attracted significant interest. While existing relaxations globally solve many OPF problems, there…