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The power domination problem seeks to determine the minimum number of phasor measurement units (PMUs) needed to monitor an electric power network. We introduce random sensor failure before the power domination process occurs and call this…

组合数学 · 数学 2023-12-20 Beth Bjorkman , Zachary Brennan , Mary Flagg , Johnathan Koch

Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a class of systems. Sufficient conditions, and in some particular…

最优化与控制 · 数学 2013-12-30 S. Damak , M. Di Loreto , W. Lombardi , V Andrieu

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

斑图形成与孤子 · 物理学 2013-05-29 V. N. Biktashev , M. A. Tsyganov

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

系统与控制 · 计算机科学 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

The increasing penetration of renewable energy leads to a continuous reduction in system inertia, for which conventional synchronization criteria based solely on frequency consistency can no longer accurately capture the coupled dynamics of…

系统与控制 · 电气工程与系统科学 2025-11-24 Yusen Wei , Lan Tang , Peidong Li

The increasing adoption of power electronic devices may lead to large disturbance and destabilization of future power systems. However, stability criteria are still an unsolved puzzle, since traditional small-signal stability analysis is…

系统与控制 · 电气工程与系统科学 2020-05-27 Fangyuan Chang , Xiaofan Cui , Mengqi Wang , Wencong Su , Alex Q. Huang

This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which…

系统与控制 · 计算机科学 2017-11-27 Atreyee Kundu , Debasish Chatterjee

We contrast two sets of conditions that govern the transition in which classical dynamics emerges from the evolution of a quantum system. The first was derived by considering the trajectories seen by an observer (dubbed the ``strong''…

量子物理 · 物理学 2009-11-13 Benjamin D. Greenbaum , Kurt Jacobs , Bala Sundaram

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

统计力学 · 物理学 2024-10-03 Yasuhiro Utsumi

We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

最优化与控制 · 数学 2020-11-12 Taouba Jouini , Florian Dörfler

Grid-forming voltage source converters (GFM-VSCs) play a crucial role in the stability of power systems with large amounts of converter-based generation. Transient stability (angle stability under large disturbances) is a critical limiting…

系统与控制 · 电气工程与系统科学 2026-03-24 Régulo E. Ávila-Martínez , Luis Rouco , Javier Renedo , Lukas Sigrist , Aurelio Garcia-Cerrada

Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading, and an increasing share…

数据分析、统计与概率 · 物理学 2018-07-24 Benjamin Schäfer , Christian Beck , Kazuyuki Aihara , Dirk Witthaut , Marc Timme

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

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

系统与控制 · 电气工程与系统科学 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

The deployment of PV inverters is rapidly expanding across Europe, where these devices must increasingly comply with stringent grid requirements.This study presents a benchmark analysis of four PV inverter manufacturers, focusing on their…

系统与控制 · 电气工程与系统科学 2025-01-31 Carina Lehmal , Ziqian Zhang , Robert Schürhuber

It was recently conjectured that 1/f noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the behavior of the power spectrum of the excitation energy fluctuations, which is…

混沌动力学 · 物理学 2016-08-16 E. Faleiro , J. M. G. Gómez , R. A. Molina , L. Muñoz , A. Relaño , J. Retamosa , .

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When…

混沌动力学 · 物理学 2009-11-11 Massimo Cencini , Alessandro Torcini

We introduce a new microscopic model of the outages in transmission power grids. This model accounts for the automatic response of the grid to load fluctuations that take place on the scale of minutes, when the optimum power flow…

物理与社会 · 物理学 2015-03-17 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

系统与控制 · 计算机科学 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

In contemporary power systems, energy consumption prediction plays a crucial role in maintaining grid stability and resource allocation enabling power companies to minimize energy waste and avoid overloading the grid. While there are…

机器学习 · 计算机科学 2025-03-20 Aayam Bansal , Keertan Balaji , Zeus Lalani