151 citations · 291 across the 17 of their papers we have counts for
12 papers · 1 filter
Exploring reactive power limits on wind farm collector networks with convex inner approximations
Nawaf Nazir, Mads Almassalkhi, Ian Hiskens
A wind farm can provide reactive power at sub-transmission and transmission buses in order to support and improve voltage profiles. It is common for the reactive power capability o…
Distributed Barrier Certificates for Safe Operation of Inverter-Based Microgrids
Soumya Kundu, Sijia Geng, Sai Pushpak Nandanoori +2
Inverter-interfaced microgrids differ from the traditional power systems due to their lack of inertia. Vanishing timescale separation between voltage and frequency dynamics makes i…
Evaluating Resilience of Electricity Distribution Networks via A Modification of Generalized Benders Decomposition Method
Devendra Shelar, Saurabh Amin, Ian Hiskens
This paper presents a computational approach to evaluate the resilience of electricity Distribution Networks (DNs) to cyber-physical failures. In our model, we consider an attacker…
Resilience of Electricity Distribution Networks - Part II: Leveraging Microgrids
Devendra Shelar, Saurabh Amin, Ian Hiskens
Advances in microgrids powered by Distributed Energy Resources (DERs) make them an attractive response capability for improving the resilience of electricity distribution networks…
Inner Approximation of Minkowski Sums: A Union-Based Approach and Applications to Aggregated Energy Resources
Md Salman Nazir, Ian A. Hiskens, Andrey Bernstein +1
This paper develops and compares algorithms to compute inner approximations of the Minkowski sum of convex polytopes. As an application, the paper considers the computation of the…
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…
Computational Analysis of Sparsity-Exploiting Moment Relaxations of the OPF Problem
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens +1
With the potential to find global solutions, significant research interest has focused on convex relaxations of the non-convex OPF problem. Recently, "moment-based" relaxations fro…
Convex Relaxations of Optimal Power Flow Problems: An Illustrative Example
Daniel K. Molzahn, Ian A. Hiskens
Recently, there has been significant interest in convex relaxations of the optimal power flow (OPF) problem. A semidefinite programming (SDP) relaxation globally solves many OPF pr…
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…
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…
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…
Moment-Based Relaxation of the Optimal Power Flow Problem
Daniel K. Molzahn, Ian A. Hiskens
The optimal power flow (OPF) problem minimizes power system operating cost subject to both engineering and network constraints. With the potential to find global solutions, signifi…