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In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold…

Physics and Society · Physics 2015-10-28 R. K. Singh , Trilochan Bagarti

The synchronized operation of power generators is the foundation of electric power network stability and a key to the prevention of undesired power outages and blackouts. Here, we derive the conditions that guarantee synchronization in…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Amirhossein Sajadi , Rick Wallace Kenyon , Bri-Mathias Hodge

Motivated by recent interest for multi-agent systems and smart power grid architectures, we discuss the synchronization problem for the network-reduced model of a power system with non-trivial transfer conductances. Our key insight is to…

Optimization and Control · Mathematics 2011-06-28 Florian Dorfler , Francesco Bullo

Synchronization of coupled oscillators is observed in many natural and engineered systems and emerges due to the interactions within the system. It can be both beneficial, e.g., in power grids, and harmful, e.g., in epileptic seizures. In…

Adaptation and Self-Organizing Systems · Physics 2026-02-18 Martin Moriamé , Riccardo Muolo , Timoteo Carletti , Maxime Lucas

Globally coupled phase oscillator models, such as the Kuramoto model, exhibit spontaneous collective synchronization. Such models can be restated in terms of interactions within and between subsets of oscillators. An approximation for the…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 David Mertens

We propose a framework for achieving perfect synchronization in complex networks of Sakaguchi-Kuramoto oscillators in presence of higher order interactions (simplicial complexes) at a targeted point in the parameter space. It is achieved by…

Physics and Society · Physics 2023-03-17 Sangita Dutta , Prosenjit Kundu , Pitambar Khanra , Chittaranjan Hens , Pinaki Pal

Unscheduled islanding events of microgrids result in the transition between grid-connected and islanded modes and induce a sudden and unknown power imbalance, posing a threat to frequency security. To achieve seamless islanding, we propose…

Optimization and Control · Mathematics 2024-01-09 Lun Yang , Haoxiang Yang , Xiaoyu Cao , Xiaohong Guan

This paper presents a distributionally robust planning method for hydrogen-electrical microgrids over islands, where the cross-island energy exchange is supported by a maritime hydrogen transport network. This planning problem is…

Optimization and Control · Mathematics 2025-05-22 Yuchen Dong , Zhengsong Lu , Xiaoyu Cao , Zhengwen He , Tanveer Hossain Bhuiyan , Bo Zeng

Purpose: The computation methods for modeling, controlling and optimizing the transforming grid are evolving rapidly. We review and systemize knowledge for a special class of computation methods that solve large-scale power grid…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Amritanshu Pandey , Mads Almassalkhi , Sam Chevalier

Evolutionary algorithms are popular heuristics for solving various combinatorial problems as they are easy to apply and often produce good results. Island models parallelize evolution by using different populations, called islands, which…

Neural and Evolutionary Computing · Computer Science 2015-03-19 Jörg Lässig , Dirk Sudholt

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

In this paper we study synchronization of random clustered networks consisting of Kuramoto oscillators. More specifically, by developing a mean-field analysis, we find that the presence of cycles of order three does not play an important…

Statistical Mechanics · Physics 2012-10-10 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues , Jürgen Kurths

In this paper, we devise a scheduling algorithm for ordering transmission of synchrophasor data from the substation to the control center in as short a time frame as possible, within the realtime hierarchical communications infrastructure…

Information Theory · Computer Science 2015-11-03 K. G. Nagananda , P. P. Khargonekar

Optimization of electricity surplus is a crucial element for transmission power networks to reduce costs and efficiently use the available electricity across the network. In this paper we showed how to optimize such a network with quantum…

Quantum Physics · Physics 2022-12-06 Giuseppe Colucci , Stan van der Linde , Frank Phillipson

As global attention on renewable and clean energy grows, the research and implementation of microgrids become paramount. This paper delves into the methodology of exploring the relationship between the operational and environmental costs of…

Artificial Intelligence · Computer Science 2023-10-04 Hongyi Duan , Qingyang Li , Yuchen Li , Jianan Zhang , Yuming Xie

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Synchronization in the networks of coupled oscillators is a widely studied topic in different areas. It is well-known that synchronization occurs if the connectivity of the network dominates heterogeneity of the oscillators. Despite…

Optimization and Control · Mathematics 2018-09-20 Elizabeth Y. Huang , Saber Jafarpour , Francesco Bullo

We study the synchronization transition of Kuramoto oscillators in scale-free networks that are characterized by tunable local properties. Specifically, we perform a detailed finite size scaling analysis and inspect how the critical…

Statistical Mechanics · Physics 2015-06-25 Jesus Gomez-Gardenes , Yamir Moreno

A fundamental understanding of synchronized behavior in multi-agent systems can be acquired by studying analytically tractable Kuramoto models. However, such models typically diverge from many real systems whose dynamics evolve under…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Keith A. Wiley , Peter J. Mucha , Danielle S. Bassett

This paper presents a time decomposition strategy to reduce the computational complexity of power system multi-interval operation problems. We focus on the economic dispatch problem. The considered scheduling horizon is decomposed into…

Signal Processing · Electrical Eng. & Systems 2019-02-18 Farnaz Safdarian , Okan Ciftci , Amin Kargarian