activity
20182022
most citedTowards Resilient Operation of Multi-Microgrids: An MISOCP-Based Frequency-Constrained Approach

36 citations · 71 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2022

Recent Developments in Security-Constrained AC Optimal Power Flow: Overview of Challenge 1 in the ARPA-E Grid Optimization Competition

Ignacio Aravena, Daniel K. Molzahn, Shixuan Zhang +12

The optimal power flow problem is central to many tasks in the design and operation of electric power grids. This problem seeks the minimum cost operating point for an electric pow…

math.OC2022★ 14 cited

An ADMM-based Distributed Optimization Method for Solving Security-Constrained AC Optimal Power Flow

Amin Gholami, Kaizhao Sun, Shixuan Zhang +1

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonli…

eess.SY2021

A Distributed Scheme for Stability Assessment in Large-Scale Structure-Preserving Models via Singular Perturbation

Amin Gholami, Xu Andy Sun

Assessing small-signal stability of power systems composed of thousands of interacting generators is a computationally challenging task. To reduce the computational burden, this pa…

eess.SY2021

Stability of Multi-Microgrids: New Certificates, Distributed Control, and Braess's Paradox

Amin Gholami, Xu Andy Sun

This paper investigates the theory of resilience and stability in multi-microgrid networks. We derive new sufficient conditions to guarantee small-signal stability of multi-microgr…

math.DS2020★ 6 cited

The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability

Amin Gholami, X. Andy Sun

We consider a broad class of second-order dynamical systems and study the impact of damping as a system parameter on the stability, hyperbolicity, and bifurcation in such systems.…

math.OC2020★ 15 cited

A Fast Certificate for Power System Small-Signal Stability

Amin Gholami, Xu Andy Sun

Swing equations are an integral part of a large class of power system dynamical models used in rotor angle stability assessment. Despite intensive studies, some fundamental propert…

math.OC2018★ 36 cited

Towards Resilient Operation of Multi-Microgrids: An MISOCP-Based Frequency-Constrained Approach

Amin Gholami, Xu Andy Sun

High penetration of distributed energy resources (DERs) is transforming the paradigm in power system operation. The ability to provide electricity to customers while the main grid…