210 citations · 451 across the 27 of their papers we have counts for
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Solution of Optimal Power Flow Problems using Moment Relaxations Augmented with Objective Function Penalization
Daniel K. Molzahn, Cédric Josz, Ian A. Hiskens +1
The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been…
Moment/Sum-of-Squares Hierarchy for Complex Polynomial Optimization
Cédric Josz, Daniel K. Molzahn
We consider the problem of finding the global optimum of a real-valued complex polynomial on a compact set defined by real-valued complex polynomial inequalities. It reduces to sol…
A Laplacian-Based Approach for Finding Near Globally Optimal Solutions to OPF Problems
Daniel K. Molzahn, Cédric Josz, Ian A. Hiskens +1
A semidefinite programming (SDP) relaxation globally solves many optimal power flow (OPF) problems. For other OPF problems where the SDP relaxation only provides a lower bound on t…