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The transformation of the electrical energy system attracts much attention in diverse research communities. Novel approaches for modeling, control, and power grid architectures are widely proposed. Data from actual power system operation…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Richard Jumar , Heiko Maaß , Benjamin Schäfer , Leonardo Rydin Gorjão , Veit Hagenmeyer

The operation of power systems is affected by diverse technical, economic and social factors. Social behaviour determines load patterns, electricity markets regulate the generation and weather-dependent renewables introduce power…

Systems and Control · Electrical Eng. & Systems 2022-11-04 Johannes Kruse , Eike Cramer , Benjamin Schäfer , Dirk Witthaut

In this paper, frequency dynamics in modern power systems with a high penetration of converter-based generation is analysed. A fundamental analysis of the frequency dynamics is performed to identify the limitations and challenges when the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Carlos Collados-Rodriguez , Daniel Westerman Spier , Marc Cheah-Mane , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

Systems and Control · Electrical Eng. & Systems 2024-05-20 H. Grebel

Electric power systems are undergoing fundamental change. The shift to inverter-based generation challenges frequency stability, while growing digitalisation heightens vulnerability to errors and attacks. Here we identify an emerging risk…

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

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

A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary…

Plasma Physics · Physics 2017-03-08 O. E. Garcia , A. Theodorsen

We present experimental studies of the power spectrum and other fluctuation properties in the spectra of microwave networks simulating chaotic quantum graphs with violated time reversal in- variance. On the basis of our data sets we…

Chaotic Dynamics · Physics 2016-11-03 Malgorzata Bialous , Vitalii Yunko , Szymon Bauch , Michal Lawniczak , Barbara Dietz , Leszek Sirko

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on…

Physics and Society · Physics 2021-09-24 Takashi Nishikawa , Adilson E. Motter

Power grid frequency stability is fundamental to the secure operation of modern energy systems, yet the growing penetration of renewables and the associated reduction of system inertia have made frequency fluctuations increasingly…

Physics and Society · Physics 2026-05-14 Wanru Hao , Alessandro Lonardi , Christian Beck

The synchronization of power generators is an important condition for the proper functioning of a power system, in which the fluctuations in frequency and the phase angle differences between the generators are sufficiently small when…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , André C. M. Ran , Jan H. van Schuppen , Chenghui Zhang

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the…

Adaptation and Self-Organizing Systems · Physics 2017-06-14 Benjamin Schäfer , Moritz Matthiae , Xiaozhu Zhang , Martin Rohden , Marc Timme , Dirk Witthaut

Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, collective dynamics inevitably involve…

Biological Physics · Physics 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets…

Chaotic Dynamics · Physics 2009-11-07 N. Hadyn , J. Luevano , G. Mantica , S. Vaienti

The increase of electric demand and the progressive integration of renewable sources threatens the stability of the power grid. To solve this issue, several methods have been proposed to control the demand side instead of increasing the…

Systems and Control · Computer Science 2018-05-22 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet

In this paper, we investigate the impact of interconnect and device process variations on voltage fluctuations in power grids. We consider random variations in the power grid's electrical parameters as spatial stochastic processes and…

Hardware Architecture · Computer Science 2011-11-09 Praveen Ghanta , Sarma Vrudhula , Rajendran Panda , Janet Wang

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

Systems and Control · Electrical Eng. & Systems 2020-03-11 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

What features characterise complex system dynamics? Power laws and scale invariance of fluctuations are often taken as the hallmarks of complexity, drawing on analogies with equilibrium critical phenomena[1-3]. Here we argue that slow,…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen , L. P. Oliveira , Paolo Sibani