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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

Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

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

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

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

When multiple outages occur in rapid succession, it is important to know quickly if the power transfer capability of different interconnections (or cut-sets) of the power network are limited. The algorithm developed in this paper identifies…

Systems and Control · Electrical Eng. & Systems 2020-08-10 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

The smooth operation of supply networks is crucial for the proper functioning of many systems, ranging from biological organisms such as the human blood transport system or plant leaves to man-made systems such as power grids or gas…

Physics and Society · Physics 2020-01-09 Franz Kaiser , Julius Strake , Dirk Witthaut

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

We introduce a new microscopic model of the outages in transmission power grids. This model accounts for the automatic response of the grid to load fluctuations that take place on the scale of minutes, when the optimum power flow…

Physics and Society · Physics 2015-03-17 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

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

During major power system disturbances, when multiple component outages occur in rapid succession, it becomes crucial to quickly identify the transmission interconnections that have limited power transfer capability. Understanding the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

In a cascading power transmission outage, component outages propagate non-locally, after one component outages, the next failure may be very distant, both topologically and geographically. As a result, simple models of topological contagion…

Physics and Society · Physics 2018-05-14 Paul D. H. Hines , Ian Dobson , Pooya Rezaei

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

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

Here we develop an approach to predict power grid weak points, and specifically to efficiently identify the most probable failure modes in static load distribution for a given power network. This approach is applied to two examples: Guam's…

Optimization and Control · Mathematics 2010-09-16 Michael Chertkov , Feng Pan , Mikhail G. Stepanov

Traditionally power distribution networks are either not observable or only partially observable. This complicates development and implementation of new smart grid technologies, such as those related to demand response, outage detection and…

Optimization and Control · Mathematics 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

We consider power line outages in the transmission system of the power grid, and specifically those caused by a natural disaster or a large scale physical attack. In the transmission system, an outage of a line may lead to overload on other…

Systems and Control · Computer Science 2012-06-07 Andrey Bernstein , Daniel Bienstock , David Hay , Meric Uzunoglu , Gil Zussman

Link failures repeatedly induce large-scale outages in power grids and other supply networks. Yet, it is still not well understood, which links are particularly prone to inducing such outages. Here we analyze how the nature and location of…

Physics and Society · Physics 2016-04-06 Dirk Witthaut , Martin Rohden , Xiaozhu Zhang , Sarah Hallerberg , Marc Timme

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

In this paper, we study the interdependency between the power grid and the communication network used to control the grid. A communication node depends on the power grid in order to receive power for operation, and a power node depends on…

Optimization and Control · Mathematics 2014-05-13 Marzieh Parandehgheibi , Eytan Modiano , David Hay
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