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We consider a setting where individuals interact in a network, each choosing actions which optimize utility as a function of neighbors' actions. A central authority aiming to maximize social welfare at equilibrium can intervene by paying…

Social and Information Networks · Computer Science 2020-07-14 William Brown , Utkarsh Patange

The Fiedler vector of a graph, namely the eigenvector corresponding to the second smallest eigenvalue of a graph Laplacian matrix, plays an important role in spectral graph theory with applications in problems such as graph bi-partitioning…

Probability · Mathematics 2022-10-13 Vishwaraj Doshi , Do Young Eun

In this work, we propose a control scheme for power grids subject to large perturbations that cause the failure of a node of the grid. Under such circumstances, the system may lose synchrony and, in addition, a cascade of line failures can…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Simona Olmi , Lucia Valentina Gambuzza , Mattia Frasca

With increased developments and interest in cooperative driving and higher levels of automation (SAE level 3+), the need for safety systems that are capable to monitor system health and maintain safe operations in faulty scenarios is…

Optimization and Control · Mathematics 2023-04-03 Niels Lodder , Chris van der Ploeg , Laura Ferranti , Emilia Silvas

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Natural Disasters like hurricanes, floods or earthquakes can damage power grid devices and create cascading blackouts and islands. The nature of failure propagation and extent of damage is dependent on the structural features of the grid,…

Systems and Control · Computer Science 2015-09-25 Deepjyoti Deka , Sriram Vishwanath

The frequent occurrences of cascading failures in power grids have been receiving continuous attention in recent years. An urgent task for us is to understand the cascading failure vulnerability of power grids against various kinds of…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Xiaolin Gao , Cunlai Pu , Lunbo Li

Cascade models on networks have been used extensively to study cascade failure in complex systems. However, most current models consider failure caused by node damage and neglect the possibility of link damage, which is relevant to…

Physics and Society · Physics 2021-12-22 King Chun Wong , Sai-Ping Li

Transmission power systems usually consist of interconnected sub-grids that are operated relatively independently. When a failure happens, it is desirable to localize its impact within the sub-grid where the failure occurs. This paper…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Higher variability in grid conditions, resulting from growing renewable penetration and increased incidence of extreme weather events, has increased the difficulty of screening for scenarios that may lead to catastrophic cascading failures.…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Joe Gorka , Tim Hsu , Wenting Li , Yury Maximov , Line Roald

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

Machine Learning · Computer Science 2025-08-04 Liuyun Xu , Seymour M. J. Spence

Cascading blackouts typically occur when nearly simultaneous outages occur in k out of N components in a power system, triggering subsequent failures that propagate through the network and cause significant load shedding. While large…

Computational Engineering, Finance, and Science · Computer Science 2019-04-12 Laurence A. Clarfeld , Paul D. H. Hines , Eric M. Hernandez , Margaret J. Eppstein

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

Large-scale load-altering attacks (LAAs) are known to severely disrupt power grid operations by manipulating several internet-of-things (IoT)-enabled load devices. In this work, we analyze power grid cascading failures induced by such…

Cryptography and Security · Computer Science 2023-06-13 Maldon Patrice Goodridge , Alessandro Zocca , Subhash Lakshminarayana

Physical infrastructure systems supply crucial resources to residential, commercial, and industrial activities. These infrastructure systems generally consist of multiple types of infrastructure assets that are interdependent. In the event…

Optimization and Control · Mathematics 2024-07-25 Yijiang Li , Kibaek Kim , Sven Leyffer , Matt Menickelly , Lawrence Paul Lewis , Joshua Bergerson

Over the past decades, engineering systems have developed as networks of systems that deliver multiple services across multiple domains. This work aims to develop an optimization program for a dynamic, hetero-functional graph theory-based…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Wester C. H. Schoonenberg , Amro M. Farid

Fault detection and isolation is an area of engineering dealing with designing on-line protocols for systems that allow one to identify the existence of faults, pinpoint their exact location, and overcome them. We consider the case of…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Miel Sharf , Daniel Zelazo
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