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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

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

This paper considers demand side management in smart power grid systems containing significant numbers of thermostatically controlled loads such as air conditioning systems, heat pumps, etc. Recent studies have shown that the overall power…

Optimization and Control · Mathematics 2013-02-14 Jan Bendtsen , Srinivas Sridharan

In this paper, we analyze the impact of communication failures on the performance of optimal distributed frequency control. We consider a consensus-based control scheme, and show that it does not converge to the optimal solution when the…

Systems and Control · Computer Science 2016-05-04 Marzieh Parandehgheibi , Konstantin Turitsyn , Eytan Modiano

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

The power from wind and solar exhibits a nonlinear flickering variability, which typically occurs at time scales of a few seconds. We show that high-frequency monitoring of such renewable powers enables us to detect a transition, controlled…

Physics and Society · Physics 2016-10-17 M. Anvari , G. Lohmann , M. Reza Rahimi Tabar , M. Wächter , P. Milan , D. Heinemann , Joachim Peinke , E. Lorenz

Smart grid technology has been recognized as a promising solution for the next-generation energy efficient electric power systems to mitigate energy crisis. Smart grid provides highly consistent and reliable services, efficient energy…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Saurav Biswas

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

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

This paper develops a new dynamic power profiling approach for modeling AI-centric datacenter loads and analyzing their impact on grid operations, particularly their potential to induce wide-area grid oscillations. We characterize the…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Min-Seung Ko , Hao Zhu

Effective frequency control in power grids has become increasingly important with the increasing demand for renewable energy sources. Here, we propose a novel strategy for resolving this challenge using graph convolutional proximal policy…

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 existing decentralized control for cascaded inverters is based on the assumption that all modules have same capacities, and a local fixed-amplitude-varied-phase voltage control is adopted for each inverter module. However, available…

Signal Processing · Electrical Eng. & Systems 2018-12-21 Xiaochao Hou , Yao Sun , Xin Zhang , Jinsong He , Josep Pou

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

We study the performance of a decentralized integral control scheme for joint power grid frequency regulation and economic dispatch. We show that by properly designing the controller gains, after a power flow perturbation, the control…

Optimization and Control · Mathematics 2018-09-10 Jianan Zhang , Eytan Modiano

Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the…

Statistical Mechanics · Physics 2026-02-11 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

We study the problem of decentralized secondary frequency regulation in power networks where ancillary services are provided via on-off load-side participation. We initially consider on-off loads that switch when prescribed frequency…

Optimization and Control · Mathematics 2019-09-17 Andreas Kasis , Nima Monshizadeh , Ioannis Lestas

Feed-in fluctuations induced by renewables are one of the key challenges to the stability and quality of electrical power grids. In particular short-term fluctuations disturb the system on a time scale, on which load balancing does not…

Adaptation and Self-Organizing Systems · Physics 2016-11-28 Katrin Schmietendorf , Joachim Peinke , Oliver Kamps

Primary Frequency Control (PFC) is a fast acting mechanism used to ensure high-quality power for the grid that is becoming an increasingly attractive option for load participation. Due to speed requirement and other considerations, it is…

Optimization and Control · Mathematics 2019-07-23 Joshua Comden , Tan N. Le , Yue Zhao , Bong Jun Choi , Zhenhua Liu