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The increasing demand for electricity and the aging infrastructure of power distribution systems have raised significant concerns about future system reliability. Failures in distribution systems, closely linked to system usage and…

Optimization and Control · Mathematics 2024-10-21 Gejia Zhang , Robert Mieth

Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP), Second-Order Cone (SOC), and Convex DistFlow (CDF) relaxations, have attracted significant interest in recent years. Thus far, studies…

Optimization and Control · Mathematics 2018-07-04 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

Power systems are large scale cyber-physical critical infrastructure that form the basis of modern society. The reliability and resilience of the grid is dependent on the correct functioning of related subsystems, including computing,…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Katherine Davis

We suggest a new methodology for designing robust energy systems. For this, we investigate so-called near-optimal solutions to energy system optimisation models; solutions whose objective values deviate only marginally from the optimum.…

Optimization and Control · Mathematics 2023-01-05 Aleksander Grochowicz , Koen van Greevenbroek , Fred Espen Benth , Marianne Zeyringer

Proliferation of grid resources on the distribution network along with the inability to forecast them accurately will render the existing methodology of grid operation and control untenable in the future. Instead, a more distributed yet…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Amritanshu Pandey , Shimiao Li , Larry Pileggi

Renewable energy sources (RES) are increasingly integrated into power systems to support the United Nations' Sustainable Development Goals of decarbonization and energy security. However, their low inertia and high uncertainty pose…

Optimization and Control · Mathematics 2024-10-08 Aleksander Lukashevich , Aleksander Bulkin , Yury Maximov

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

The failure of overhead transmission lines in the United States can lead to significant economic losses and widespread blackouts, affecting the lives of millions. This study focuses on the reliability of transmission lines, specifically…

Numerical Analysis · Mathematics 2024-07-01 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

Microgrids present an effective solution for the coordinated deployment of various distributed energy resources and furthermore provide myriad additional benefits such as resilience, decreased carbon footprint, and reliability to energy…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Sakshi Mishra , Ted Kwasnik , Kate Anderson

Ice storms, known for their severity and predictability, necessitate proactive resilience enhancement in power systems. Traditional approaches often overlook the endogenous uncertainties inherent in human decisions and underutilize…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Chenxi Hu , Yujia Li , Yunhe Hou

The growing share of renewable energy makes the optimization of power flows in power system models computationally more complicated, due to the widely distributed weather-dependent electricity generation. This article evaluates two methods…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Oriol Raventós , Julian Bartels

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang

This paper proposes a methodology to identify and protect vulnerable components of connected gas and electric infrastructures from malicious attacks, and to guarantee a resilient operation by deploying valid corrective actions (while…

Optimization and Control · Mathematics 2016-11-22 Cheng Wang , Wei Wei , Jianhui Wang , Feng Liu , Feng Qiu , Carlos M. Correa-Posada , Shengwei Mei

Transmission topology control is a tool used by system operators in the role of a control action taken into account as a preventive or corrective action relative to a specific outage or set of outages. However, their inclusion in most…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Emily Little , Sandrine Bortolotti , Jean-Yves Bourmaud , Efthymios Karangelos , Yannick Perez

In order to accommodate the increasing amounts of renewable generation in power distribution systems, system operators are facing the problem of how to upgrade transmission capacities. Since line and transformer upgrades are costly,…

Optimization and Control · Mathematics 2018-09-18 Sandro Merkli , Alexander Domahidi , Juan Jerez , Roy S. Smith

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

Machine Learning · Computer Science 2023-08-31 Luis Böttcher , Hinrikus Wolf , Bastian Jung , Philipp Lutat , Marc Trageser , Oliver Pohl , Andreas Ulbig , Martin Grohe

Many countries are currently challenged with the extensive integration of renewable energy sources, which necessitates vast capacity expansion measures. These measures in turn require comprehensive power flow studies, which are often…

Optimization and Control · Mathematics 2019-09-26 Julia Sistermanns , Matthias Hotz , Dominic Hewes , Rolf Witzmann , Wolfgang Utschick

As the complexities of Dynamic Data Driven Applications Systems increase, preserving their resilience becomes more challenging. For instance, maintaining power grid resilience is becoming increasingly complicated due to the growing number…

Machine Learning · Computer Science 2024-07-23 Nora Agah , Javad Mohammadi , Alex Aved , David Ferris , Erika Ardiles Cruz , Philip Morrone

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson