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Many countries are currently challenged with the extensive integration of renewable energy sources, which necessitates vast capacity expansion measures. These measures in turn require comprehensive power flow studies, which are often…

Optimization and Control · Mathematics 2019-09-26 Julia Sistermanns , Matthias Hotz , Dominic Hewes , Rolf Witzmann , Wolfgang Utschick

Grid-synchronization stability (GSS) is an emerging stability issue of grid-tied voltage source converters (VSCs), which can be provoked by severe grid voltage sags. Although a qualitative understanding of the mechanism behind the loss of…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yu Zhang , Chen Zhang , Xu Cai

This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee

Large-scale integration of renewables in power systems gives rise to new challenges for keeping synchronization and frequency stability in volatile and uncertain power flow states. To ensure the safety of operation, the system must maintain…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Chao Duan , Pratyush Chakraborty , Takashi Nishikawa , Adilson E. Motter

Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified…

Systems and Control · Computer Science 2016-03-18 Thanh Long Vu , Konstantin Turitsyn

We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which the results may apply include interconnections of stable…

Dynamical Systems · Mathematics 2013-06-12 A. Gorban , I. Tyukin , E. Steur , H. Nijmeijer

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. In the latter case, the ongoing transition to distributed…

Adaptation and Self-Organizing Systems · Physics 2018-11-29 Frank Hellmann , Paul Schultz , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Jürgen Kurths , Yuri Maistrenko

A model of the Italian 380 kV electrical transmission network has been analyzed under the topological and the functional viewpoints. The DC power flow model used to evaluate the power flux has been solved on the basis of input conditions…

Physics and Society · Physics 2009-09-10 V. Rosato , L. Issacharoff , G. Gianese , S. Bologna

We propose a novel neural network embedding approach to model power transmission grids, in which high voltage lines are disconnected and reconnected with one-another from time to time, either accidentally or willfully. We call our…

Signal Processing · Electrical Eng. & Systems 2019-08-23 Benjamin Donnot , Balthazar Donon , Isabelle Guyon , Zhengying Liu , Antoine Marot , Patrick Panciatici , Marc Schoenauer

Robust synchronization is indispensable for stable operation of a power grid. Recently, it has been reported that a large number of decentralized generators, rather than a small number of large power plants, provide enhanced synchronization…

Physics and Society · Physics 2017-05-24 Mi Jin Lee , Beom Jun Kim

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

We consider a one-dimensional XX spin chain in a nonequilibrium setting with a Lindblad-type boundary driving. By calculating large deviation rate function in the thermodynamic limit, being a generalization of free energy to a…

Statistical Mechanics · Physics 2014-01-31 Marko Znidaric

This article reviews different kinds of models for the electric power grid that can be used to understand the modern power system, the smart grid. From the physical network to abstract energy markets, we identify in the literature different…

This paper presents a decentralized controller for sharing primary AC frequency control reserves through a multi-terminal HVDC grid. By using Lyapunov arguments, the proposed controller is shown to stabilize the equilibrium of the…

Optimization and Control · Mathematics 2015-12-15 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

High levels of penetration of distributed generation and aggressive reactive power compensation with modern power electronics may result in the reversal of active and reactive power flows in future distribution grids. The voltage stability…

Chaotic Dynamics · Physics 2014-07-09 Hung D. Nguyen , Konstantin Turitsyn

We present a novel fault localisation methodology for linear time-invariant electrical networks with infinite-dimensional edge dynamics and uncertain fault dynamics. The theory accommodates instability and also bounded propagation delays in…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Daniel Selvaratnam , Alessio Moreschini , Amritam Das , Thomas Parisini , Henrik Sandberg

DC grids are prone to small-signal instabilities due to the presence of tightly controlled loads trying to keep the power consumption constant over range of terminal voltage variations. Th, so-called, constant power load (CPL) represents a…

Systems and Control · Computer Science 2018-03-07 Kathleen Cavanagh , Petr Vorobev , Konstantin Turitsyn

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous…

Physics and Society · Physics 2024-03-29 Max Potratzki , Timo Bröhl , Thorsten Rings , Klaus Lehnertz

This paper investigates the dynamic interactions between large-scale data centers and the power grid, focusing on reliability challenges arising from sudden fluctuations in demand. With the rapid growth of AI-driven workloads, such…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Kyung-Bin Kwon , Sayak Mukherjee , Veronica Adetola

This paper is concerned with estimating critical clearing times in the transient stability problem of power grids without extensive time-domain simulations. We consider a highdimensional post-fault system (the grid after the fault is…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Willem Esterhuizen , Gyula Molnár , Tim Aschenbruck , Franz Rußwurm , Halil Askan , Stefan Streif
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