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Monitoring and modelling the power grid frequency is key to ensuring stability in the electrical power system. Many tools exist to investigate the detailed deterministic dynamics and especially the bulk behaviour of the frequency. However,…

Physics and Society · Physics 2021-05-04 Leonardo Rydin Gorjão , Luigi Vanfretti , Dirk Witthaut , Christian Beck , Benjamin Schäfer

The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 Leonardo Rydin Gorjão , Mehrnaz Anvari , Holger Kantz , Christian Beck , Dirk Witthaut , Marc Timme , Benjamin Schäfer

Power grids must modernize to meet climate goals while maintaining reliable and stable operating conditions. Yet progress is hindered by a limited understanding of the stochastic processes underlying grid frequency and phase-angle…

Physics and Society · Physics 2026-04-06 Alessandro Lonardi , Jacques M. Maritz , Leonardo Rydin Gorjão , Christian Beck

The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility to demand fluctuations and dispatch, it is strongly…

Adaptation and Self-Organizing Systems · Physics 2020-03-25 Mehrnaz Anvari , Leonardo Rydin Gorjão , Marc Timme , Dirk Witthaut , Benjamin Schäfer , Holger Kantz

The electrical energy system has attracted much attention from an increasingly diverse research community. Many theoretical predictions have been made, from scaling laws of fluctuations to propagation velocities of disturbances. However, to…

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

Power-grid systems constitute one of the most complex man-made spatially extended structures. These operate with strict operational bounds to ensure synchrony across the grid. This is particularly relevant for power-grid frequency, which…

Physics and Society · Physics 2021-08-17 Leonardo Rydin Gorjão , Benjamin Schäfer , Dirk Witthaut , Christian Beck

Increased share of renewable sources of energy in a power grid leads to larger deviations in grid frequency from the nominal value resulting in more challenging control and its modelling. In this paper we focus on the grid frequency for the…

Physics and Society · Physics 2022-10-10 David Kraljic

Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether the power-grid frequency, an indicator about the balance on…

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

Stochastic feed-in of fluctuating renewable energies is steadily increasing in modern electricity grids and this becomes an important risk factor for maintaining power grid stability. Here we study the impact of wind power feed-in on the…

Adaptation and Self-Organizing Systems · Physics 2019-11-04 Matthias F. Wolff , Katrin Schmietendorf , Pedro G. Lind , Oliver Kamps , Joachim Peinke , Philipp Maass

The power grid frequency is the central observable in power system control, as it measures the balance of electrical supply and demand. A reliable frequency forecast can facilitate rapid control actions and may thus greatly improve power…

Physics and Society · Physics 2020-08-24 Johannes Kruse , Benjamin Schäfer , Dirk Witthaut

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

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

With the increasing renewable energy sources, concerns about how renewable energy sources impact frequency have risen. There are few reports regarding power frequency status in worldwide main power grids and what are differences of…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Xianda Deng , Hongyu Li , Wenpeng Yu , Wang Weikang , Yilu Liu

Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading, and an increasing share…

Data Analysis, Statistics and Probability · Physics 2018-07-24 Benjamin Schäfer , Christian Beck , Kazuyuki Aihara , Dirk Witthaut , Marc Timme

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

This paper analyses an emerging real-world phenomena in inverter-based renewable-dominated power systems, namely, asymmetry of frequency distribution. The paper first provides a rationale on why asymmetry reduces the "quality" of the…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Taulant Kerci , Federico Milano

Complex network analyses have provided clues to improve power-grid stability with the help of numerical models. The high computational cost of numerical simulations, however, has inhibited the approach, especially when it deals with the…

Physics and Society · Physics 2022-01-12 Seong-Gyu Yang , Beom Jun Kim , Seung-Woo Son , Heetae Kim

This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac
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