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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

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

The knowledge of distribution grid models, including topologies and line impedances, is essential to grid monitoring, control and protection. However, this information is often unavailable, incomplete or outdated. The increasing deployment…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Yifei Guo , Yuxuan Yuan , Zhaoyu Wang

This paper investigates the problem of optimal frequency regulation of multi-machine power networks where each synchronous machine is described by a sixth order model. By analyzing the physical energy stored in the network and the…

Optimization and Control · Mathematics 2016-03-23 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

This paper presents a complex systems overview of a power grid network. In recent years, concerns about the robustness of the power grid have grown because of several cascading outages in different parts of the world. In this paper,…

Adaptation and Self-Organizing Systems · Physics 2010-06-24 Sakshi Pahwa , Amelia Hodges , Caterina Scoglio , Sean Wood

We propose new mathematical optimization models for generating sparse dynamical graphs, or networks, that can achieve synchronization. The synchronization phenomenon is studied using the Kuramoto model, defined in terms of the adjacency…

Optimization and Control · Mathematics 2020-06-23 Regina S. Burachik , Alexander C. Kalloniatis , C. Yalçın Kaya

Feedback control is an effective strategy for stabilizing a desired state and has been widely adopted in maintaining the stability of systems such as flying birds and power grids. By default, this framework requires continuous control input…

Adaptation and Self-Organizing Systems · Physics 2025-10-14 Yuanzhao Zhang , Sean P. Cornelius

Power systems are subject to fundamental changes due to the increasing infeed of renewable energy sources. Taking the accompanying decentralization of power generation into account, the concept of prosumer-based microgrids gives the…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Lia Strenge , Xiaohan Jing , Ruth Boersma , Paul Schultz , Frank Hellmann , Jürgen Kurths , Jörg Raisch , Thomas Seel

We investigate the emergence of synchronization in the second-order Kuramoto model with adaptive simplicial interactions on a globally connected network. This inertial Kuramoto framework describes systems, where oscillator frequencies…

Adaptation and Self-Organizing Systems · Physics 2026-04-14 Priyanka Rajwani , Sarika Jalan

The electric power system is one of the cornerstones of modern society. One of its most serious malfunctions is the blackout, a catastrophic event that may disrupt a substantial portion of the system, playing havoc to human life and causing…

Data Analysis, Statistics and Probability · Physics 2016-03-07 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

This letter proposes a dual model for grid-forming (GFM) controlled converters. The model is inspired from the observation that the structures of the active and reactive power equations of lossy synchronous machine models are almost…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Federico Milano

We investigate the abrupt transition from low interlayer synchrony to high interlayer synchrony in a system of two identical layers of non-locally coupled Kuramoto-Sakaguchi oscillators using time-switching of the interlayer topology, while…

Adaptation and Self-Organizing Systems · Physics 2021-11-29 Muhittin Cenk Eser , Mustafa Riza

We analyze populations of Kuramoto oscillators with a particular distribution of natural frequencies. Inspired by networks where there are two groups of nodes with opposite behaviors, as for instance in power-grids where energy is either…

Pattern Formation and Solitons · Physics 2012-03-14 Lubos Buzna , Sergi Lozano , Albert Diaz-Guilera

The increasing penetration of inverter-based resources into the power grid, with often only black-box models available, challenges long-standing frequency control methods. Most recent works take a decentralized approach without online…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Michael Nestor , Jiaxin Wang , Ning Zhang , Fei Teng

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

Physics and Society · Physics 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

The effective way of energy transmission plays a key factor in improving the overall transmission systems efficiency. Many methods are proposed to control the reactive power flow, voltage fluctuations and power factor improvement, The…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Appalabathula Venkatesh , Shankar Nalinakshan , S S Kiran , Pradeepa H

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…

Physics and Society · Physics 2026-01-19 Jung-Ho Kim , Alex Arenas

To design control strategies that predictably manipulate a system's behavior, it is first necessary to understand how the system's structure relates to its response. Many complex systems can be represented as multilayer networks whose…

Neurons and Cognition · Quantitative Biology 2021-03-17 Pragya Srivastava , Peter J. Mucha , Emily Falk , Fabio Pasqualetti , Danielle S. Bassett

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

Power losses reduction is one of the main targets for any electrical energy distribution company. In this paper, we face the problem of joint optimization of both topology and network parameters in a real smart grid. We consider a portion…

Computational Engineering, Finance, and Science · Computer Science 2015-12-16 Francesca Possemato , Maurizio Paschero , Lorenzo Livi , Antonello Rizzi , Alireza Sadeghian