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In this work we bring out the existence of a novel kind of synchronization associated to the size of a complex system. A dichotomic random jump process associated to the dynamics of an externally driven stochastic system with $N$ coupled…

Statistical Mechanics · Physics 2021-12-22 María Laura Olivera-Atencio , Manuel Morillo , Jesús Casado-Pascual

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

In multi-infeed hybrid AC-DC (MIDC) systems, the asynchronous interconnection between regional grids, the complicated system dynamics and possible cascading failures have an enormous effect on the frequency stability. In order to deal with…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Ye Liu , Chen Shen

As the penetration level of distributed energy resources (DERs) continues to rise, traditional frequency and voltage support from synchronous machines declines. This weakens grid stability and increases the need for fast and adaptive…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Yan Tong , Qin Wang , Sihao Chen , Xue Hu , Zhaoyuan Wu

This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating condition with demand aggregating two dynamic components: one…

Optimization and Control · Mathematics 2025-07-02 Mahmoud Abdelgalil , Vishal Shenoy , Guido Cavraro , Emiliano Dall'Anese , Jorge I. Poveda

Complex-valued signals encode both amplitude and phase, yet most deep models treat attention as real-valued correlation, overlooking interference effects. We introduce the Holographic Transformer, a physics-inspired architecture that…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Enhao Huang , Zhiyu Zhang , Tianxiang Xu , Chunshu Xia , Kaichun Hu , Yuchen Yang , Tongtong Pan , Dong Dong , Zhan Qin

A decentralized approach for joint frequency and phase synchronization in distributed antenna arrays is presented. The nodes in the array share their frequencies and phases with their neighboring nodes to align these parameters across the…

Signal Processing · Electrical Eng. & Systems 2022-12-06 Mohammed Rashid , Jeffrey A. Nanzer

This paper evaluates the frequency performance of an AC system when primary frequency response is provided by inverter-based resources located at remote-areas. Due to potentially larger wave propagation constants over longer lines, fast…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Georgios Misyris , Deepak Ramasubramanian , Parag Mitra , Vikas Singhvi

This paper proposes a coherency control strategy for Inverter-Based Resources (IBRs) to establish coherence among power system devices. Using the equivalence of the Complex Frequency (CF) of the injected currents as the definition for…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Rodrigo Bernal , Ignacio Ponce , Federico Milano

The rapid expansion of data center infrastructure is reshaping power system dynamics by significantly increasing electricity demand while also offering potential for fast and controllable flexibility. To ensure reliable operation under such…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Pengyu Ren , Wei Sun , Yifan Wang , Gareth Harrison

Due to the rapid developments in synchronized measurement technologies, there exist enormous opportunities to attenuate disturbances in future power grids with high penetration of renewables and complex load demands. To that end, this paper…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

In this work, we analyze the effect of transmission line dynamics on grid-forming control for inverter-based AC power systems. In particular, we investigate a dispatchable virtual oscillator control (dVOC) strategy that was recently…

Optimization and Control · Mathematics 2019-05-30 Dominic Groß , Marcello Colombino , Jean-Sébastien Brouillon , Florian Dörfler

This paper proposes a unified methodology for voltage regulation, frequency synchronization, and rotor angle control in power transmission systems considering a one-axis generator model with time-varying voltages. First, we formulate an…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Yijun Chen , Kanghong Shi , Ian R. Petersen , Elizabeth L. Ratnam

Stability of power electronic converters connected to power grids is commonly assessed by using the impedance criterion. On the contrary, stability of power grids is typically analysed by using network state-space representation and system…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Pablo Rodriguez-Ortega , Javier Roldan-Perez , Milan Prodanovic

This paper addresses the distributed optimal frequency control of power systems considering a network-preserving model with nonlinear power flows and excitation voltage dynamics. Salient features of the proposed distributed control strategy…

Systems and Control · Computer Science 2018-02-14 Zhaojian Wang , Feng Liu , John Z. F. Pang , Steven Low , Shengwei Mei

Stability guarantees are critical for cycle-by-cycle controlled dc-dc converters in consumer electronics and energy storage systems. Traditional stability analysis on cycle-by-cycle dc-dc converters is incomplete because the inductor…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Xiaofan Cui , Al-Thaddeus Avestruz

We study the dynamics of a mechanical oscillator with linear and cubic forces -the Duffing oscillator- subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency.…

Classical Physics · Physics 2015-06-23 Damián H. Zanette , Sebastián I. Arroyo

In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

Dynamical Systems · Mathematics 2017-08-15 Julian Newman

This paper proposes a novel control for Inverter-based Resources (IBRs) based on the Complex Frequency (CF) concept. The controller's objective is to maintain a constant CF of the voltage at the terminals of the IBR by adjusting its current…

Systems and Control · Electrical Eng. & Systems 2025-01-06 R. Bernal , F. Milano

In this paper we propose a distributed dynamic controller for sharing frequency control reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. We derive sufficient stability conditions, which guarantee that…

Optimization and Control · Mathematics 2015-12-15 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson
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