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In order to reduce the energy cost of data centers, recent studies suggest distributing computation workload among multiple geographically dispersed data centers, by exploiting the electricity price difference. However, the impact of data…

Systems and Control · Computer Science 2016-08-23 Hao Wang , Jianwei Huang , Xiaojun Lin , Hamed Mohsenian-Rad

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

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…

Combinatorics · Mathematics 2019-09-04 Tianran Chen

Many partitioning methods may be used to partition a network into smaller clusters while minimizing the number of cuts needed. However, other considerations must also be taken into account when a network represents a real system such as a…

Physics and Society · Physics 2015-03-19 Ibrahim Abou Hamad , Per Arne Rikvold , Svetlana V. Poroseva

The integration of synchronous generators and energy storage systems operated through communication networks introduces new challenges and vulnerabilities to the electric grid, where cyber attacks can corrupt sensor measurements or control…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Jairo Giraldo , Masood Parvania

In this paper, we studied the strategies to enhance synchronization on directed networks by manipulating a fixed number of links. We proposed a centrality-based reconstructing (CBR) method, where the node centrality is measured by the…

Physics and Society · Physics 2012-08-09 An Zeng , Linyuan Lü , Tao Zhou

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

We propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuro- and social sciences, as well as biology, engineering, and other disciplines. We…

Adaptation and Self-Organizing Systems · Physics 2020-03-04 Rico Berner , Jakub Sawicki , Eckehard Schöll

In this work, we explore a new approach to synchronization of coupled oscillators. In contrast to the celebrated Kuramoto model we do not work in polar coordinates and do not consider oscillations of fixed magnitude. We propose a…

Optimization and Control · Mathematics 2018-11-29 Marcello Colombino , Dominic Groß , Jean-Sébastien Brouillon , Florian Dörfler

The critical need for clean and economical sources of energy is transforming data centers that are primarily energy consumers to also energy producers. We focus on minimizing the operating costs of next-generation data centers that can…

Data Structures and Algorithms · Computer Science 2013-04-19 Jinlong Tu , Lian Lu , Minghua Chen , Ramesh K. Sitaraman

Quantifying the potential benefits of microgrids in the design phase can support the transition of passive distribution networks into microgrids. At current, reliability and resilience are the main drivers for this transition. Therefore,…

Optimization and Control · Mathematics 2020-06-12 Raphael Wu , Giovanni Sansavini

In this paper we consider a distributed optimization scenario in which a set of processors aims at cooperatively solving a class of min-max optimization problems. This set-up is motivated by peak-demand minimization problems in smart grids.…

Optimization and Control · Mathematics 2016-11-29 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

Suppose we are given a system of coupled oscillators on an unknown graph along with the trajectory of the system during some period. Can we predict whether the system will eventually synchronize? Even with a known underlying graph…

Dynamical Systems · Mathematics 2022-08-25 Hardeep Bassi , Richard Yim , Rohith Kodukula , Joshua Vendrow , Cherlin Zhu , Hanbaek Lyu

Transitioning to renewable power generation is often difficult for remote or isolated communities, due to generation intermittency and high cost barriers. Our paper presents a simulation-based optimization approach for the design of policy…

Optimization and Control · Mathematics 2025-02-21 Nanrui Gong , James C. Spall

Synchronization is a ubiquitous scientific phenomenon in various physical systems. Here, we examine the feasibility of generating multistable and dynamically tunable synchronization by using the technique of Floquet engineering. Applying a…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Motoki Asano , Hajime Okamoto , Hiroshi Yamaguchi

In this paper, we propose networked microgrids to facilitate the integration of variable renewable generation and improve the economics and resiliency of electricity supply in microgrids. A new concept, probability of successful islanding…

Optimization and Control · Mathematics 2018-05-15 Guodong Liu , Tomas B. Ollis , Bailu Xiao , Xiaohu Zhang , Kevin Tomsovic

Microgrids offer a promising paradigm for integrating distributed energy resources, bolstering energy resilience, and reducing the impact of blackouts. However, their inherent decentralization and dynamic operation present substantial…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Joan Vendrell Gallart , Russell Bent , Solmaz Kia

Higher-order networks with multiway interactions can exhibit collective dynamical phenomena that are absent in traditional pairwise network models. However, analyzing such dynamics becomes computationally prohibitive as their state space…

Quantum Physics · Physics 2026-04-23 Caesnan M. G. Leditto , Angus Southwell , Muhammad Usman , Kavan Modi

In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Amalio F. Pacheco

One critical value microgrids bring to power systems is resilience, the capability of being able to island from the main grid under certain conditions and connect back when necessary. Once islanded, a microgrid must be synchronized to the…

Systems and Control · Computer Science 2017-06-20 Di Shi , Xi Chen , Zhiwei Wang , Xiaohu Zhang , Zhe Yu , Xinan Wang , Desong Bian
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