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In this project we evaluate a framework for synchronization of mixed machine-converter power grids. Synchronous machines are assumed to be actuated by mechanical torque injections, while the converters by DC-side current injections. As this…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Aidar Zhetessov

We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of coupled Stuart--Landau oscillators. To this end a network model is…

Adaptation and Self-Organizing Systems · Physics 2014-09-16 Carolin Wille , Judith Lehnert , Eckehard Schöll

We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled oscillators networks. Using a simple model we show that, depending on its location, the new coupling can lead to…

Adaptation and Self-Organizing Systems · Physics 2016-04-06 Tommaso Coletta , Philippe Jacquod

In principle, while coupled limit cycle oscillators can overcome mismatch in intrinsic rates and match their frequencies, but zero phase lag synchronization is just achievable in the limit of zero mismatch, i.e., with identical oscillators.…

Neurons and Cognition · Quantitative Biology 2013-02-12 Sadjad Sadeghi , Alireza Valizadeh

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

In this work, we study fast time scale dynamic interactions between inverters, synchronous machines, and transmission lines. The overlapping time scales between inverter controls and electromagnetic phenomena idfentified in recent years has…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Gabriel E. Colon-Reyes , Ruth Kravis , Sunash Sharma , Duncan Callaway

Forming (hybrid) AC/DC microgrids (MGs) has become a promising manner for the interconnection of various kinds of distributed generators that are inherently AC or DC electric sources. This paper addresses the distributed asynchronous power…

Systems and Control · Computer Science 2019-05-02 Zhaojian Wang , Shengwei Mei , Feng Liu , Peng Yi , Ming Cao

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper presents a robust secondary control strategy for frequency synchronization and active power sharing for inverter-based microgrids. The problem is addressed in a multi-agent fashion where the local controllers of the distributed…

Systems and Control · Electrical Eng. & Systems 2023-07-27 Milad Gholami , Gianni Bianchini , Antonio Vicino

Public power-system datasets often lack electromagnetic transient (EMT) waveforms, inverter control dynamics, and diverse disturbance coverage, which limits their usefulness for training surrogate models and studying cyber-physical behavior…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Osasumwen Cedric Ogiesoba-Eguakun , Kaveh Ashenayi , Suman Rath

Grid-following inverters have been widely adopted as a grid interface for renewable energy, and ensuring their small-signal and large-signal stability is critical to modern power systems. Their large-signal, or transient, stability is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Yifan Zhang , Yunjie Gu , Yue Zhu , Yitong Li , Hsiao-Dong Chiang , Timothy C. Green

Grid-forming (GFM) capability requirements are increasingly imposed on grid-connected voltage-source converters (VSCs). Under large grid disturbances, GFM-VSCs need to remain stable while providing GFM services. Yet, such objectives, as…

Systems and Control · Electrical Eng. & Systems 2023-04-24 Heng Wu , Xiongfei Wang

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous…

Physics and Society · Physics 2024-03-29 Max Potratzki , Timo Bröhl , Thorsten Rings , Klaus Lehnertz

Grid-following (GFL) inverters have very different large-signal stability characteristics to synchronous generators, and convenient concepts such as the equal-area criterion and global energy function do not apply in the same way. Existing…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Yifan Zhang , Yaoxin Wang , Yunjie Gu , Yitong Li , Sijia Geng , Yue Zhu , Hsiao-Dong Chiang , Timothy C. Green

Synchronization control in arrays of identical output-coupled continuous-time linear systems is studied. Sufficiency of new conditions for the existence of a synchronizing feedback law are analyzed. It is shown that for neutrally stable…

Dynamical Systems · Mathematics 2008-11-24 S. Emre Tuna

This paper proposes a new methodology for design of a stabilizing control law for multi-input linear systems with time-varying, singular gains on the control. The results presented here assume the control gain to satisfy persistence of…

Optimization and Control · Mathematics 2014-10-17 Srikant Sukumar , Maruthi R. Akella

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

Many resources in the grid connect to power grids via programmable grid-interfacing inverters that can provide grid services and offer greater control flexibility and faster response times compared to synchronous generators. However, the…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Lauren Streitmatter , Trager Joswig-Jones , Baosen Zhang

In power system analysis, the Equal Area Criterion is of great importance on revealing the condition for a grid-connected synchronous generator to maintain its transient rotor angle stability with the grid under a large disturbance. At…

Dynamical Systems · Mathematics 2020-03-09 Xin Xu , Kai Sun

A case study on modeling adequacy of a grid in presence of renewable resources based on grid-forming converters (GFCs) is the subject matter of this paper. For this purpose, a 4-machine 11-bus IEEE benchmark model is modified by considering…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Lilan Karunaratne , Nilanjan Ray Chaudhuri , Amirthagunaraj Yogarathnam , Meng Yue
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