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With the increasing inclusion of regenerative resources in the energy mix, their intermittent character challenges power grid stability. Hence it is essential to determine which input fluctuations power grids are particularly vulnerable to.…

Adaptation and Self-Organizing Systems · Physics 2018-01-16 Stefan Wieland , Sébastien Aumaitre , Hervé Bercegol

Interacting particle systems with many degrees of freedom may undergo phase transitions to sustain atypical fluctuations of dynamical observables such as the current or the activity. This leads in some cases to symmetry-broken space-time…

Statistical Mechanics · Physics 2019-08-23 Carlos Pérez-Espigares , Pablo I. Hurtado

Power systems are shifted from conventional bulk generation toward renewable generation. This trend leads to the frequency security problem due to the decline of system inertia. On the other hand, natural gas-fired units are frequently…

Optimization and Control · Mathematics 2021-09-30 Lun Yang , Yinliang Xu , Jianguo Zhou , Hongbin Sun

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

Optimization and Control · Mathematics 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

Overdamped stochastic systems maintained far from equilibrium can display sustained oscillations with fluctuations that decrease with the system size. The correlation time of such noisy limit cycles expressed in units of the cycle period is…

Statistical Mechanics · Physics 2025-01-31 Davide Santolin , Gianmaria Falasco

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

Optimization and Control · Mathematics 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

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

The bulk power grid is divided into regional grids interconnected with multiple tie-lines for efficient operation. Since interconnected power grids are operated by different control centers, it is a challenging task to realize coordinated…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Siyuan Wang , Cheng Feng , Fengqi You

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

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

Typical coordination schemes for future power grids require two-way communications. Since the number of end power-consuming devices is large, the bandwidth requirements for such two-way communication schemes may be prohibitive. Motivated by…

Systems and Control · Computer Science 2016-01-27 Sindri Magnusson , Chinwendu Enyioha , Kathryn Heal , Na Li , Carlo Fischione , Vahid Tarokh

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

Physics and Society · Physics 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

The fundamental frequency is one of the parameters that define power quality. Correctly determining this parameter under the conditions that prevail in modern power grids is crucial. Diagnostic purposes often require an efficient estimation…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Antonio Bracale , Pasquale De Falco , Piotr Kuwałek , Grzegorz Wiczyński

The management of distributed and heterogeneous modern power networks necessitates the deployment of communication links, often characterized by limited bandwidth. This paper presents an event detection mechanism that significantly reduces…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Gabriel E. Mejia-Ruiz , Yazdan Batmani , Subhash Lakshminarayana , Shehab Ahmed , Charalambos Konstantinou

We investigate the behavior of dissipative particle dynamics (DPD) with time-correlated random noise. A new stochastic force for DPD is proposed which consists of a random force whose noise has an algebraic correlation proportional to 1/t…

Statistical Mechanics · Physics 2019-01-10 Morgane Borreguero , Marco Ellero , Nikolaus A. Adams

In studies of complex heterogeneous networks, particularly of the Internet, significant attention was paid to analyzing network failures caused by hardware faults or overload, where the network reaction was modeled as rerouting of traffic…

Networking and Internet Architecture · Computer Science 2015-05-30 A. S. Stepanenko , I. V. Yurkevich , C. C. Constantinou , I. V. Lerner

We propose a method for determining the most likely cause, in terms of conventional generator outages and renewable fluctuations, of power system frequency reaching a predetermined level that is deemed unacceptable to the system operator.…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Brendan Patch , Bert Zwart
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