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The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

动力系统 · 数学 2014-07-29 Saeed Manaffam , Alireza Seyedi

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

系统与控制 · 电气工程与系统科学 2024-05-20 H. Grebel

Operational flexibility is an important property of electric power systems and plays a crucial role for the transition of today's power systems, many of them based on fossil fuels, towards power systems that can efficiently accommodate high…

最优化与控制 · 数学 2014-07-29 Andreas Ulbig , Göran Andersson

As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors develop rules on how to parametrize the…

系统与控制 · 电气工程与系统科学 2022-10-03 Sebastian Krahmer , Stefan Ecklebe , Peter Schegner , Klaus Röbenack

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

最优化与控制 · 数学 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

The increasing penetration of renewable energy sources introduces significant challenges to power grid stability, primarily due to their inherent variability. A new opportunity for grid operation is the smart integration of electricity…

最优化与控制 · 数学 2025-10-30 Janik Pinter , Frederik Zahn , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer

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…

系统与控制 · 电气工程与系统科学 2022-06-01 Amirhossein Sajadi , Rick Wallace Kenyon , Bri-Mathias Hodge

Many recent works in control of electric power systems have investigated their synchronization through global performance metrics under external disturbances. The approach is motivated by fundamental changes in the operation of power grids,…

信号处理 · 电气工程与系统科学 2020-07-28 Melvyn Tyloo , Philippe Jacquod

Many infrastructure networks have a modular structure and are also interdependent. While significant research has explored the resilience of interdependent networks, there has been no analysis of the effects of modularity. Here we develop a…

物理与社会 · 物理学 2016-01-20 Louis Shekhtman , Saray Shai , Shlomo Havlin

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

无序系统与神经网络 · 物理学 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

The AC frequency in electrical power systems is conventionally regulated by synchronous machines. The gradual replacement of these machines by asynchronous renewable-based generation, which provides little or no frequency control, increases…

最优化与控制 · 数学 2019-06-13 Richard Pates , Enrique Mallada

Microgrids present an effective solution for the coordinated deployment of various distributed energy resources and furthermore provide myriad additional benefits such as resilience, decreased carbon footprint, and reliability to energy…

系统与控制 · 电气工程与系统科学 2022-03-24 Sakshi Mishra , Ted Kwasnik , Kate Anderson

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

最优化与控制 · 数学 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Electrical power systems are one of the most important infrastructures that support our society. However, their vulnerabilities have raised great concern recently due to several large-scale blackouts around the world. In this paper, we…

物理与社会 · 物理学 2016-10-14 Yingrui Zhang , Osman Yagan

The increased integration of information and communications technology at the distribution grid level offers broader opportunities for active operational management concepts. At the same time, requirements for resilience against internal…

系统与控制 · 电气工程与系统科学 2024-10-15 Immanuel Hacker , Ömer Sen , Dennis van der Velde , Florian Schmidtke , Andreas Ulbig

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

系统与控制 · 电气工程与系统科学 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can…

混沌动力学 · 物理学 2018-04-17 Jeremie Fish , Jie Sun

Power grids are one of the most important components of infrastructure in today's world. Every nation is dependent on the security and stability of its own power grid to provide electricity to the households and industries. A malfunction of…

系统与控制 · 计算机科学 2017-11-13 Biswarup Bhattacharya , Abhishek Sinha

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

系统与控制 · 电气工程与系统科学 2026-05-26 Zhongda Chu , Fei Teng

We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's circuit laws. The concept of survivability is employed to…

物理与社会 · 物理学 2020-04-23 Julian F. Wienand , David Eidmann , Julian Kremers , Jobst Heitzig , Frank Hellmann , Jürgen Kurths