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Interdependencies are ubiquitous throughout the world. Every real-world system interacts with and is dependent on other systems, and this interdependency affects their performance. In particular, interdependencies among networks make them…

Physics and Society · Physics 2018-07-18 Cristian E. La Rocca , H. Eugene Stanley , Lidia A. Braunstein

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

Overload-induced cascading failures can cause extreme disruptions in a wide range of networked systems, such as power grids, transportation networks, or financial systems. Empirical studies across domains report that the size of such…

Physics and Society · Physics 2026-01-06 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

This paper proposes a cascading failure mitigation strategy based on Reinforcement Learning (RL). The motivation of the Multi-Stage Cascading Failure (MSCF) problem and its connection with the challenge of climate change are introduced. The…

Machine Learning · Computer Science 2021-08-25 Yongli Zhu

This paper addresses how to improve the computational efficiency and estimation reliability in cascading outage analysis. We first formulate a cascading outage as a Markov chain with specific state space and transition probability by…

Systems and Control · Computer Science 2016-11-03 Jinpeng Guo , Feng Liu , Jianhui Wang , Junhao Lin , Shengwei Mei

As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the…

Systems and Control · Computer Science 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra

Cascading failures are a common phenomenon in complex networked systems where failures at only a few nodes may trigger a process of sequential failure. We applied a flow redistribution model to investigate the robustness against cascading…

Networking and Internet Architecture · Computer Science 2022-03-03 I-Cheng Lin , Carlee Joe-Wong , Osman Yagan

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in a form of an abrupt first order transition. When the fraction of initial…

Statistical Mechanics · Physics 2014-06-03 Dong Zhou , Amir Bashan , Reuven Cohen , Yehiel Berezin , Nadav Shnerb , Shlomo Havlin

We study the mutual percolation of a system composed of two interdependent random regular networks. We introduce a notion of distance to explore the effects of the proximity of interdependent nodes on the cascade of failures after an…

Physics and Society · Physics 2014-03-26 Yosef Kornbluth , Steven Lowinger , Gabriel Cwilich , Sergey V. Buldyrev

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

We consider a simple system with a local synchronous generator and a load whose power consumption is a random process. The most probable scenario of system failure (synchronization loss) is considered, and it is argued that its knowledge is…

Optimization and Control · Mathematics 2013-10-01 Misha Stepanov , Aditya Sundarrajan

Industry reliability rules increasingly require utilities to study and mitigate cascading failure risk in their system. Motivated by this, this paper describes how cascading failure risk, in terms of expected blackout size, varies with…

Optimization and Control · Mathematics 2013-11-18 Pooya Rezaei , Paul D. H. Hines

We study the evolution of fast blackout cascades in the model of the Polish (transmission) power grid (2700 nodes and 3504 transmission lines). The cascade is initiated by a sufficiently severe initial contingency tripping. It propagates…

Physics and Society · Physics 2011-10-07 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

It is well-known that the fundamental diagram in a realistic traffic system is featured by capacity drop. From a mesoscopic approach, we demonstrate that such a phenomenon is linked to the unique properties of stochastic noise, which, when…

Applications · Statistics 2025-03-21 Mariana Pereira de Melo , Leon Alexander Valencia , Wei-Liang Qian

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

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

Complex networks with heterogeneous distribution of loads may undergo a global cascade of overload failures when highly loaded nodes or edges are removed due to attacks or failures. Since a small attack or failure has the potential to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter

While power systems are reliable infrastructures, their complex interconnectivities allow for propagation of disturbances through cascading failures which causes blackouts. Meanwhile the ever increasing penetration level of renewable…

Applied Physics · Physics 2017-07-03 Mir Hadi Athari , Zhifang Wang
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