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We study the global asymptotic behavior of a grid-connected constant field current synchronous generator (SG). The grid is regarded as an "infinite bus", i.e. a three-phase AC voltage source. The generator does not include any controller…

Optimization and Control · Mathematics 2016-10-18 Vivek Natarajan , George Weiss

This paper investigates equilibrium points and stability in two synchronous machine configurations: (i) a single generator with an impedance load and (ii) two interconnected machines with co-located loads. We consider both abc and dq…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Maryam Khodabakhshloo , Elizabeth L. Ratnam , Ian R. Petersen

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

Inverter-dominated microgrids are quickly becoming a key building block of future power systems. They rely on centralized controllers that can provide reliability and resiliency in extreme events. Nonetheless, communication failures due to…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Siddharth Bhela , Abhishek Banerjee , Ulrich Muenz , Joachim Bamberger

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

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

This letter presents a comprehensive analysis of the stability phenomenon related to the ability of generators to remain in synchronism when subjected to small or large disturbances, in power systems with both synchronous machines and…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Régulo E. Ávila-Martínez , Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Trager Joswig-Jones , Baosen Zhang

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

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 power synchronization control (PSC) has been increasingly used with voltage-source converters (VSCs) connected to the weak ac grid. This paper presents an in-depth analysis on the transient stability of the PSC-VSC by means of the phase…

Systems and Control · Computer Science 2018-10-30 Heng Wu , Xiongfei Wang

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

High penetration of distributed generators (DG) in modern power grids creates angle, voltage, and frequency instabilities. Most of the work in the literature has focused on small-signal stability analysis of single grid-connected inverters…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Ramkrishna Mishan

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

Transformer models and end-to-end learning frameworks are rapidly revolutionizing the field of artificial intelligence. In this work, we apply object detection transformers to analyze charge stability diagrams in semiconductor quantum dot…

This paper presents a trajectory tracking control strategy that modulates the active power injected by geographically distributed inverter-based resources to support transient stability. Each resource is independently controlled, and its…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

Power electronic converters for integrating renewable energy resources into power systems can be divided into grid-forming and grid-following inverters. They possess certain similarities, but several important differences, which means that…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Yitong Li , Yunjie Gu , Timothy C. Green
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