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Globally coupled ensembles of phase oscillators serve as useful tools for modeling synchronization and collective behavior in a variety of applications. As interest in the effects of simplicial interactions (i.e., non-additive, higher-order…

适应与自组织系统 · 物理学 2021-01-13 Can Xu , Per Sebastian Skardal

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

最优化与控制 · 数学 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto

Maintaining the stability of synchronization state is crucial for the functioning of many natural and artificial systems. In this study, we develop methods to optimize the synchronization stability of the Kuramoto model by minimizing the…

最优化与控制 · 数学 2017-01-18 Bo Li , K. Y. Michael Wong

The Kuramoto model is one of the most widely studied model for describing synchronization behaviors in a network of coupled oscillators, and it has found a wide range of applications. Finding all possible frequency synchronization…

组合数学 · 数学 2019-09-04 Tianran Chen

We introduce a novel coupling scheme for maximizing the synchronization of Kuramoto oscillator networks under a fixed coupling budget. We show that by scaling the interaction strength between oscillators according to their frequency…

统计力学 · 物理学 2026-04-01 Amit Pando , Eran Bernstein , Tomer Hacohen , Nathan Vigne , Hui Cao , Oren Raz , Asher Friesem , Nir Davidson

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…

物理与社会 · 物理学 2021-09-24 Takashi Nishikawa , Adilson E. Motter

Recently, there has been considerable interest in the study of spontaneous synchronization, particularly within the framework of the Kuramoto model. The model comprises oscillators with distributed natural frequencies interacting through a…

统计力学 · 物理学 2014-08-29 Shamik Gupta , Alessandro Campa , Stefano Ruffo

Coupled nonlinear oscillators, e.g., Kuramoto models, are commonly used to analyze electrical power systems. The cage model from statistical mechanics has also been used to describe the dynamics of synchronously connected generation…

系统与控制 · 电气工程与系统科学 2019-08-14 Marios Zarifakis , Declan J. Byrne , William T. Coffey , Yuri P. Kalmykov , Serguey V. Titov , Stephen J. Carrig

The transition towards clean energy and the introduction of Distributed Energy Resources (DERs) are giving rise to the emergence of Microgrids (MGs) and Networks of MGs (NMGs). MGs and NMGs can operate autonomously in islanded mode.…

系统与控制 · 电气工程与系统科学 2025-10-27 Ahmed Saad Al-Karsani , Maryam Khanbaghi , Aleksandar Zečević

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…

系统与控制 · 电气工程与系统科学 2024-02-01 Aidar Zhetessov

A generalized Kuramoto model of coupled phase oscillators with slowly varying coupling matrix is studied. The dynamics of the coupling coefficients is driven by the phase difference of pairs of oscillators in such a way that the coupling…

适应与自组织系统 · 物理学 2009-11-07 Philip Seliger , Stephen C. Young , Lev S. Tsimring

In a purely inverter-based microgrid, both grid-forming (GFM) and grid-following (GFL) inverters will have a crucial role to play in frequency/voltage regulation and maintaining power sharing through their grid support capabilities.…

系统与控制 · 电气工程与系统科学 2021-11-01 Ankit Singhal , Thanh Long Vu , Wei Du

Synchronizing phase frustrated Kuramoto oscillators, a challenge that has found applications from neuronal networks to the power grid, is an eluding problem, as even small phase-lags cause the oscillators to avoid synchronization. Here we…

适应与自组织系统 · 物理学 2018-01-19 Prosenjit Kundu , Chittaranjan Hens , Baruch Barzel , Pinaki Pal

Due to its description of a synchronization between oscillators, the Kuramoto model is an ideal choice for a synchronisation algorithm in networked systems. This requires to achieve not only a frequency synchronization but also a phase…

系统与控制 · 电气工程与系统科学 2024-03-21 Andreas Bathelt , Vimukthi Herath , Thomas Dallmann

This paper presents a distributed synchronization strategy for connected and automated vehicles in traffic networks. The strategy considers vehicles traveling from one intersection to the next as waves. The phase angle and frequency of each…

系统与控制 · 电气工程与系统科学 2021-05-31 Manuel Rodriguez , Hosam Fathy

This paper presents a \textit{physics-based} steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to…

系统与控制 · 电气工程与系统科学 2026-01-21 Emmanuel O. Badmus , Amritanshu Pandey

Coordinating inverters at scale under uncertainty is the desideratum for integrating renewables in distribution grids. Unless load demands and solar generation are telemetered frequently, controlling inverters given approximate grid…

最优化与控制 · 数学 2023-07-25 Sarthak Gupta , Vassilis Kekatos , Ming Jin

This paper presents a distributed frequency control method for power grids with high penetration of inverter-connected resources under low and time-varying inertia due to renewable energy (RE). We provide a distributed virtual inertia (VI)…

系统与控制 · 电气工程与系统科学 2022-09-20 Manasa Muralidharan , Jan Kleissl , Patricia Hidalgo-Gonzalez

To reduce CO2 emissions and tackle increasing fuel costs, the aviation industry is swiftly moving towards the electrification of aircraft. From the viewpoint of systems and control, a key challenge brought by this transition corresponds to…

系统与控制 · 电气工程与系统科学 2026-03-19 Wasif H. Syed , Juan E. Machado , Hans Würfel , Ekrem Hanli , Johannes Schiffer

Decarbonization is rapidly increasing the penetration of inverter-based renewables and other low-capacity generators, intensifying concerns about frequency synchronization in increasingly decentralized power grids. A common heuristic from…

物理与社会 · 物理学 2026-01-19 Jung-Ho Kim , Alex Arenas