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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

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

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

Frequency fluctuations in power grids, caused by unpredictable renewable energy sources, consumer behavior and trading, need to be balanced to ensure stable grid operation. Standard smart grid solutions to mitigate large frequency…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Benjamin Schäfer , Dirk Witthaut , Marc Timme

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…

Many recent works in control of electric power systems have investigated their synchronization through global performance metrics under external disturbances. The approach is motivated by fundamental changes in the operation of power grids,…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Melvyn Tyloo , Philippe Jacquod

The power-grid frequency reflects the balance between electricity supply and demand. Measuring the frequency and its variations allows monitoring of the power balance in the system and, thus, the grid stability. In addition, gaining insight…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Xinyi Wen , Mehrnaz Anvari , Leonardo Rydin Gorjao , G. Cigdem Yalcin , Veit Hagenmeyer , Benjamin Schafer

Renewable generators perturb the electric power grid with heavily non-Gaussian and time correlated fluctuations. While changes in generated power on timescales of minutes and hours are compensated by frequency control measures, we report…

Physics and Society · Physics 2019-05-29 Hauke Haehne , Katrin Schmietendorf , Samyak Tamrakar , Joachim Peinke , Stefan Kettemann

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…

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

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

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

Fluctuating wind energy makes a stable grid operation challenging. Due to the direct contact with atmospheric turbulence, intermittent short-term variations in the wind speed are converted to power fluctuations that cause transient…

Data Analysis, Statistics and Probability · Physics 2018-03-29 Hauke Haehne , Jannik Schottler , Matthias Waechter , Joachim Peinke , Oliver Kamps

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

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

Physics and Society · Physics 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of electric power generation. These markets rely evermore on…

Statistical Finance · Quantitative Finance 2021-12-07 Chengyuan Han , Hannes Hilger , Eva Mix , Philipp C. Böttcher , Mark Reyers , Christian Beck , Dirk Witthaut , Leonardo Rydin Gorjão

Decarbonization in the energy sector has been accompanied by an increased penetration of new renewable energy sources in electric power systems. Such sources differ from traditional productions in that, first, they induce larger,…

Adaptation and Self-Organizing Systems · Physics 2023-02-10 Melvyn Tyloo , Jason Hindes , Philippe Jacquod

Deterministic frequency deviations (DFDs) are systematic and predictable excursions of grid frequency that arise from synchronized generation ramps induced by electricity market scheduling. In this paper, we analyze the impact of the…

Physics and Society · Physics 2026-02-11 Philipp C. Böttcher , Carsten Hartmann , Andrea Benigni , Thiemo Pesch , Dirk Witthaut

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…

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