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It is crucial for maintaining the security of supply that transmission networks continue to operate even if a single line fails. Modeling $\mathcal{N} - 1$ security in power system capacity expansion problems introduces many extra…

Physics and Society · Physics 2022-11-03 Amin Shokri Gazafroudi , Fabian Neumann , Tom Brown

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind…

Systems and Control · Computer Science 2020-11-23 Kaarthik Sundar , Harsha Nagarajan , Line Roald , Sidhant Misra , Russell Bent , Daniel Bienstock

Evaluating resilience in electric distribution systems under severe weather requires models that can connect network topology, hazard simulation, fragility modeling, restoration assumptions, repair strategy, and downstream consequences.…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Xuesong Wang , Caisheng Wang , Carol Miller , Amir Shahin Kamjou , John Norton

Maximizing robustness and minimizing cost are common objectives in the design of infrastructure networks. However, most infrastructure networks evolve and operate in a highly decentralized fashion, which may significantly impact the…

Physics and Society · Physics 2008-05-29 Dong-Hee Kim , Adilson E. Motter

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and…

Risk Management · Quantitative Finance 2015-02-20 Konstantinos Spiliopoulos

Stochastic economic dispatch models address uncertainties in forecasts of renewable generation output by considering a finite number of realizations drawn from a stochastic process model, typically via Monte Carlo sampling. Accurate…

Computational Engineering, Finance, and Science · Computer Science 2015-08-24 Cosmin Safta , Richard L. -Y. Chen , Habib N. Najm , Ali Pinar , Jean-Paul Watson

The networked combat system-of-system (CSOS) is the trend of combat development with the innovation of technology. The achievement of combat effectiveness requires CSOS to have a good ability to deal with external interference. Here we…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Jintao Yu , Bing Xiao , Yuzhu Cui

Energy storage is a crucial component of the smart grid, since it provides the ability to buffer transient fluctuations of the energy supply from renewable sources. Even without a load, energy storage systems experience a reduction of the…

Performance · Computer Science 2017-10-27 Majid Raeis , Almut Burchard , Jorg Liebeherr

Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology. Currently, the impact of the grid structure on the grid robustness is mainly…

Physics and Society · Physics 2015-05-26 Xiangrong Wang , Yakup Koç , Robert E. Kooij , Piet Van Mieghem

Cascading failures in power systems propagate non-locally, making the control and mitigation of outages extremely hard. In this work, we use the emerging concept of the tree partition of transmission networks to provide an analytical…

Systems and Control · Computer Science 2018-08-20 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

This paper is concerned with estimating critical clearing times in the transient stability problem of power grids without extensive time-domain simulations. We consider a highdimensional post-fault system (the grid after the fault is…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Willem Esterhuizen , Gyula Molnár , Tim Aschenbruck , Franz Rußwurm , Halil Askan , Stefan Streif

We develop upper bounds for line failure probabilities in power grids, under the DC approximation and assuming Gaussian noise for the power injections. Our upper bounds are explicit, and lead to characterization of safe operational capacity…

Systems and Control · Computer Science 2016-11-09 Tommaso Nesti , Alessandro Zocca , Bert Zwart

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

Increasing frequency and intensity of extreme weather events motivates the assessment of power system resilience. The random nature of power system failures during these events mandates probabilistic resilience assessment, but…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Aidan Gerkis , Xiaozhe Wang

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper aims to…

Systems and Control · Computer Science 2019-04-17 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

The transmission grid is often comprised of several control areas that are connected by multiple tie lines in a mesh structure for reliability. It is also well-known that line failures can propagate non-locally and redundancy can exacerbate…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Chen Liang , Linqi Guo , Alessandro Zocca , Shuyue Yu , Steven H. Low , Adam Wierman

Damage scenarios for large networks are considered. The cascade scenario is described by means of powers of adjacency matrix. More difficult probabilistic variants of the large network damage are modeling by Markov chains. For reliability…

Networking and Internet Architecture · Computer Science 2013-10-10 P. A. Golovinski

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingencies locally before it can cause a network-wide collapse.…

Optimization and Control · Mathematics 2018-06-08 Sai Pushpak Nandanoori , Soumya Kundu , Draguna Vrabie , Karan Kalsi , Jianming Lian

This paper establishes and explores a framework to analyze the risk of cascading failures in a platoon of autonomous vehicles, accounting for communication time-delays and input uncertainty. Our proposed framework yields closed-form…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Guangyi Liu , Christoforos Somarakis , Nader Motee

This paper presents a framework for deriving the storage capacity that an electricity system requires in order to satisfy a chosen risk appetite. The framework takes as inputs user-defined event categories, parameterised by peak…

Optimization and Control · Mathematics 2020-12-02 Michael P. Evans , Simon H. Tindemans
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