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An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

Physics and Society · Physics 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa

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

Synchronization is an essential element in three-phase ac electric power systems. The large-scale integration of converter-interfaced resources leads to the power grid transformation from voltage-source-dominated to…

Systems and Control · Electrical Eng. & Systems 2023-03-06 Yitong Li , Timothy C. Green , Yunjie Gu

The integration of renewable energy sources in the course of the energy transition is accompanied by grid decentralization and fluctuating power feed-in characteristics. This raises new challenges for power system stability and design. We…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Katrin Schmietendorf , Joachim Peinke , Rudolf Friedrich , Oliver Kamps

Behavioral homogeneity is often critical for the functioning of network systems of interacting entities. In power grids, whose stable operation requires generator frequencies to be synchronized--and thus homogeneous--across the network,…

Adaptation and Self-Organizing Systems · Physics 2024-09-24 Ferenc Molnar , Takashi Nishikawa , Adilson E. Motter

The transient stability of traditional power systems is concerned with the ability of generators to stay synchronized with the positive-sequence voltage of the network, whether for symmetrical or asymmetrical faults. In contrast, both…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Xiuqiang He , Changjun He , Sisi Pan , Hua Geng , Feng Liu

Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carsten Hartmann , Philipp C. Böttcher , David Gross , Dirk Witthaut

Robust synchronization is indispensable for stable operation of a power grid. Recently, it has been reported that a large number of decentralized generators, rather than a small number of large power plants, provide enhanced synchronization…

Physics and Society · Physics 2017-05-24 Mi Jin Lee , Beom Jun Kim

Large-scale integration of inverter-based resources into power grids worldwide is challenging their stability and security. This paper takes a closer look at synchronous condensers as a solution to mitigate stability challenges caused by…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Amir Sajadi , Barry Mather , Bri-Mathias Hodge

Synchronous generators and inverter-based resources are complex systems with dynamics that cut across multiple intertwined physical domains and control loops. Modeling individual generators and inverters is, in itself, a very involved…

Systems and Control · Electrical Eng. & Systems 2022-07-26 D. Venkatramanan , Manish K. Singh , Olaolu Ajala , Alejandro Dominguez-Garcia , Sairaj Dhople

Synchronization is essential for proper functioning of the power grid. We investigate the synchronous state and its stability for a network with a cyclic topology and with the evolution of the states satisfying the swing equations. We…

Chaotic Dynamics · Physics 2017-09-13 Kaihua Xi , Johan. L. A. Dubbeldam , Haixiang Lin

The stability of AC power grids relies on ancillary services that mitigate frequency fluctuations. The electromechanical inertia of large synchronous generators is currently the only resource to absorb frequency disturbances on sub-second…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Julian Fritzsch , Philippe Jacquod

In recent years, the contribution of renewable energy resources to the electrical grid has increased drastically; the most common of these are photovoltaic solar panels and wind turbines. These resources rely on inverters to interface with…

Systems and Control · Electrical Eng. & Systems 2026-03-31 John Slane , Adam Mate

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

Increasing the inertia is widely considered to be the solution to resolving unstable interactions between coupled oscillators. In power grids, Virtual Synchronous Generators (VSGs) are proposed to compensate the reducing inertia as rotating…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Gurupraanesh Raman , Gururaghav Raman , Jimmy Chih-Hsien Peng

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

The large-scale integration of renewable generation directly affects the reliability of power grids. We investigate the problem of power balancing in a general renewable-integrated power grid with storage and flexible loads. We consider a…

Systems and Control · Computer Science 2016-06-06 Sun Sun , Min Dong , Ben Liang

Many countries' policies have shifted rapidly towards using renewable energy for climate reasons. As a result, inverter-based resources are beginning to dominate power systems. Key elements for managing the loss of conventional generators…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Waleed Breesam , Stefan M. Goetz

We consider the problem of synchronizing two electric power generators, one of which (the leader) is serving a time-varying electrical load, so that they can ultimately be connected to form a single power system. Each generator is described…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Olaoluwapo Ajala , Alejandro Dominguez-Garcia , Daniel Liberzon

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García
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