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We study numerically the cascading failure problem by using artificially created scale-free networks and the real network structure of the power grid. The capacity for a vertex is assigned as a monotonically increasing function of the load…

Physics and Society · Physics 2016-09-08 Bing Wang , Beom Jun Kim

Reliable functioning of supply and transport networks fundamentally support many non-equilibrium dynamical systems, from biological organisms and ecosystems to human-made water, gas, heat, electricity and traffic networks. Strengthening an…

Adaptation and Self-Organizing Systems · Physics 2022-05-31 Debsankha Manik , Dirk Witthaut , Marc Timme

Power losses reduction is one of the main targets for any electrical energy distribution company. In this paper, we face the problem of joint optimization of both topology and network parameters in a real smart grid. We consider a portion…

Computational Engineering, Finance, and Science · Computer Science 2015-12-16 Francesca Possemato , Maurizio Paschero , Lorenzo Livi , Antonello Rizzi , Alireza Sadeghian

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

We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's circuit laws. The concept of survivability is employed to…

Physics and Society · Physics 2020-04-23 Julian F. Wienand , David Eidmann , Julian Kremers , Jobst Heitzig , Frank Hellmann , Jürgen Kurths

Due to uncertainties and the complicated intrinsic dynamics of power systems, it is difficult to predict the cascading failure paths once the cascades occur. This makes it challenging to achieve the effective power system protection against…

Systems and Control · Electrical Eng. & Systems 2019-08-02 Chao Zhai

Large-scale power blackouts caused by cascading failure are inflicting enormous socioeconomic costs. We study the problem of cascading link failures in power networks modelled by random geometric graphs from a percolation-based viewpoint.…

Networking and Internet Architecture · Computer Science 2010-12-09 Hongda Xiao , Edmund Yeh

Measuring robustness is a fundamental task for analyzing the structure of complex networks. Indeed, several approaches to capture the robustness properties of a network have been proposed. In this paper we focus on spectral graph theory…

Combinatorics · Mathematics 2020-11-18 Gian Paolo Clemente , Alessandra Cornaro

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

Transportation electrification introduces strong coupling between the power and transportation systems. In this paper, we generalize the classical notion of Braess' paradox to coupled power and transportation systems, and examine how the…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Minghao Mou , Junjie Qin

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

The topological structure of the power grid plays a key role in the reliable delivery of electricity and price settlement in the electricity market. Incorporation of new energy sources and loads into the grid over time has led to its…

Social and Information Networks · Computer Science 2015-03-02 Deepjyoti Deka , Sriram Vishwanath

In this paper, we propose a perturbation framework to measure the robustness of graph properties. Although there are already perturbation methods proposed to tackle this problem, they are limited by the fact that the strength of the…

Social and Information Networks · Computer Science 2019-01-29 Yali Wan , Marina Meila

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

Physics and Society · Physics 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

Link failures in supply networks can have catastrophic consequences that can lead to a complete collapse of the network. Strategies to prevent failure spreading are thus heavily sought after. Here, we make use of a spanning tree formulation…

Physics and Society · Physics 2021-06-09 Franz Kaiser , Dirk Witthaut

This paper investigates the theory of resilience and stability in multi-microgrid networks. We derive new sufficient conditions to guarantee small-signal stability of multi-microgrids in both lossless and lossy networks. The new stability…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Amin Gholami , Xu Andy Sun

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Many critical infrastructure systems have network structure and are under stress. Despite their national importance, the complexity of large-scale transport networks means we do not fully understand their vulnerabilities to cascade…

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

In this paper, we quantify voltage and current phasor-based measurement requirements for the unique estimation of the electric grid topology and admittance parameters. Our approach is underpinned by the concept of a rigidity matrix that has…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Norak Rin , Iman Shames , Ian R. Petersen , Elizabeth L. Ratnam