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The mechanisms underlying cascading failures are often modeled via the paradigm of self-organized criticality. Here we introduce a simple model where nodes self-organize to be either weak or strong to failure which captures the trade-off…

Physics and Society · Physics 2018-09-12 Yuansheng Lin , Keith Burghardt , Martin Rohden , Pierre-André Noël , Raissa M. D'Souza

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

Optimization and Control · Mathematics 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

Non-linear equations describing the time evolution of frequencies and voltages in power grids exhibit fixed points of stable grid operation. The dynamical behaviour after perturbations around these fixed points can be used to characterise…

Adaptation and Self-Organizing Systems · Physics 2018-11-14 Matthias Wolff , Pedro G. Lind , Philipp Maass

Identifying the multiple critical components in power systems whose absence together has severe impact on system performance is a crucial problem for power systems known as (N-x) contingency analysis. However, the inherent combinatorial…

Optimization and Control · Mathematics 2020-07-15 Mohammad Rasoul Narimani , Hao Huang , Amarachi Umunnakwe , Zeyu Mao , Abhijeet Sahu , Saman Zonouz , Kate Davis

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

We model power grids as graphs with heavy-tailed sinks, which represent demand from cities, and study cascading failures on such graphs. Our analysis links the scale-free nature of blackout sizes to the scale-free nature of city sizes,…

Physics and Society · Physics 2020-08-05 Tommaso Nesti , Fiona Sloothaak , Bert Zwart

Power Grids and other delivery networks has been attracted some attention by the network literature last decades. Despite the Power Grids dynamics has been controlled by computer systems and human operators, the static features of this type…

Physics and Society · Physics 2016-08-29 Gabriela C. Martins , Leonardo S. Oliveira , Fabiano L. Ribeiro , Fabricio L. Forgerini

The reliable operation of a power distribution system relies on a good prior knowledge of its topology and its system state. Although crucial, due to the lack of direct monitoring devices on the switch statuses, the topology information is…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Yijun Xu , Jaber Valinejad , Mert Korkali , Lamine Mili , Yajun Wang , Xiao Chen , Zongsheng Zheng

We propose a generic system model for a special category of interdependent networks, demand-supply networks, in which the demand and the supply nodes are associated with heterogeneous loads and resources, respectively. Our model sheds a…

Networking and Internet Architecture · Computer Science 2019-11-11 Seyyedali Hosseinalipour , Jiayu Mao , Do Young Eun , Huaiyu Dai

The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on…

Physics and Society · Physics 2021-09-24 Takashi Nishikawa , Adilson E. Motter

Cascading failures represent a fundamental threat to the integrity of complex systems, often precipitating a comprehensive collapse across diverse infrastructures and financial networks. This research articulates a robust and pragmatic…

Adaptation and Self-Organizing Systems · Physics 2024-06-28 Karan Singh , V. K. Chandrasekar , D. V. Senthilkumar

This paper proposes a methodology for enhancing power systems resiliency by proactively splitting an interconnected grid into small self-sustaining islands in preparation for extreme events. The idea is to posture the system so that…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Shuchismita Biswas , Emanuel Bernabeu , David Picarelli

Cascading failures in power systems exhibit non-local propagation patterns which make the analysis and mitigation of failures difficult. In this work, we propose a distributed control framework inspired by the recently proposed concepts of…

Systems and Control · Computer Science 2019-04-22 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

Power grids normally operate at some stable operating condition where power supply and demand are balanced. In response to emergency situations, load shedding is a prevailing approach where local protective devices are activated to cut a…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Spyros Chatzivasileiadis , Hsiao-Dong Chiang , Konstantin Turitsyn

Large but rare cascades triggered by small initial shocks are present in most of the infrastructure networks. Here we present a simple model for cascading failures based on the dynamical redistribution of the flow on the network. We show…

Other Condensed Matter · Physics 2009-11-10 Paolo Crucitti , Vito Latora , Massimo Marchiori

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

In this paper, we study the robustness of interdependent networks, in which the state of one network depends on the state of the other network and vice versa. In particular, we focus on the interdependency between the power grid and…

Optimization and Control · Mathematics 2014-07-11 Marzieh Parandehgheibi , Eytan Modiano

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

The way in which electric power depends on the topology of circuits with mixed voltage and current sources is examined. The power flowing in any steady-state DC circuit is shown to depend on a minimal set of key variables called fundamental…

Systems and Control · Computer Science 2017-09-25 Shuai Wang , John Baillieul

This paper considers a model for cascades on random networks in which the cascade propagation at any node depends on the load at the failed neighbor, the degree of the neighbor as well as the load at that node. Each node in the network…

Physics and Society · Physics 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha