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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…

物理与社会 · 物理学 2026-05-14 Wanru Hao , Alessandro Lonardi , Christian Beck

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…

系统与控制 · 计算机科学 2019-05-20 Fernando Paganini , Enrique Mallada

A large share of renewable energy sources integrated into the national grids and an increased interconnection capacity with asynchronous networks, are the main contributors in reducing the kinetic energy storage in the Nordic Power System.…

系统与控制 · 电气工程与系统科学 2021-07-30 Matas Dijokas , Danilo Obradovic , Georgios Misyris , Tilman Weckesser , Thierry Van Cutsem

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

适应与自组织系统 · 物理学 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

To ensure reliable operation of power grids, their frequency shall stay within strict bounds. Multiple sources of disturbances cause fluctuations of the grid frequency, ranging from changing demand over volatile feed-in to energy trading.…

统计金融 · 定量金融 2021-03-29 Benjamin Schäfer , Marc Timme , Dirk Witthaut

Modelling, forecasting and overall understanding of the dynamics of the power grid and its frequency are essential for the safe operation of existing and future power grids. Much previous research was focused on large continental areas,…

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…

系统与控制 · 电气工程与系统科学 2022-11-04 Johannes Kruse , Eike Cramer , Benjamin Schäfer , Dirk Witthaut

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…

硬件体系结构 · 计算机科学 2011-11-09 Praveen Ghanta , Sarma Vrudhula , Rajendran Panda , Janet Wang

The phenomenon of frequency and phase synchronization in stochastic systems requires a revision of concepts originally phrased in the context of purely deterministic systems. Various definitions of an instantaneous phase are presented and…

统计力学 · 物理学 2009-11-07 Jan A. Freund , Lutz Schimansky-Geier , Peter Haenggi

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…

数据分析、统计与概率 · 物理学 2018-03-29 Hauke Haehne , Jannik Schottler , Matthias Waechter , Joachim Peinke , Oliver Kamps

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

物理与社会 · 物理学 2021-07-07 Heetae Kim

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

统计力学 · 物理学 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit fluctuations with broad tails in many applications, including…

适应与自组织系统 · 物理学 2019-12-03 Jason Hindes , Philippe Jacquod , Ira B. Schwartz

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…

物理与社会 · 物理学 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

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…

系统与控制 · 电气工程与系统科学 2021-04-07 Benjamin Schäfer , Dirk Witthaut , Marc Timme

While weak, tuned asymmetry can improve, strong heterogeneity destroys synchronization in the electric power system. We study the level of heterogeneity, by comparing large high voltage (HV) power-grids of Europe and North America. We…

物理与社会 · 物理学 2024-08-06 Bálint Hartmann , Géza Ódor , István Papp , Kristóf Benedek , Shengfeng Deng , Jeffrey Kelling

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…

适应与自组织系统 · 物理学 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

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…

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

物理与社会 · 物理学 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called {\it multiplicative noise}, appear ubiquitously in physics, biology, economy and social sciences. The properties of…

凝聚态物理 · 物理学 2007-05-23 Miguel A. Munoz