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The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

Populations and Evolution · Quantitative Biology 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

Fundamental sensor feedback limitations for improving rotor angle stability using local frequency or phase angle measurement are derived. Using a two-machine power system model, it is shown that improved damping of inter-area oscillations…

Systems and Control · Electrical Eng. & Systems 2021-08-13 Joakim Björk , Danilo Obradović , Lennart Harnefors , Karl Henrik Johansson

We show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers. The purpose of this work is to show both the formal analogy…

Chaotic Dynamics · Physics 2009-11-13 Giovanni Filatrella , Arne Hejde Nielsen , Niels Falsig Pedersen

This paper develops a systematic framework for analyzing how low frequency forced oscillations propagate in electric power systems. Using this framework, the paper shows how to mathematically justify the so-called Dissipating Energy Flow…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

A method is proposed to identify and localize the cause of network collapse with augmented power flow analysis for a grid model with insufficient resources. Owing to heavy network loading, insufficient generation, component failures and…

Signal Processing · Electrical Eng. & Systems 2019-11-14 Shimiao Li , Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Larry Pileggi

Increasing the inertia is widely considered to be the solution to resolving unstable interactions between coupled oscillators. In power grids, Virtual Synchronous Generators (VSGs) are proposed to compensate the reducing inertia as rotating…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Gurupraanesh Raman , Gururaghav Raman , Jimmy Chih-Hsien Peng

The dynamics of a power system with large penetration of renewable energy resources are becoming more nonlinear due to the intermittence of these resources and the switching of their power electronic devices. Therefore, it is crucial to…

Signal Processing · Electrical Eng. & Systems 2023-02-08 Pooja Algikar , Lamine Mili , Mohsen Ben Hassine , Somayeh Yarahmadi , Almuatazbellah , Boker

This paper presents a decentralized methodology for detecting and mitigating flapping phenomena in power systems, primarily caused by the operation of discrete devices. The proposed approach applies moving-window autocorrelation to local…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Angel Vaca , Federico Milano

In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core that emits periodic wave trains to each side, source defects…

Analysis of PDEs · Mathematics 2018-02-22 Margaret Beck , Toan T. Nguyen , Björn Sandstede , Kevin Zumbrun

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

The problem of a linear damped noisy oscillator is treated in the presence of two multiplicative sources of noise which imply a random mass and random damping. The additive noise and the noise in the damping are responsible for an influx of…

Statistical Mechanics · Physics 2016-12-07 Stanislav Burov , Moshe Gitterman

A system obeying the harmonic oscillator equation of motion can be used as a force or proper acceleration sensor. In this short review we derive analytical expressions for the sensitivity of such sensors in a range of different situations,…

Classical Physics · Physics 2019-05-10 Gerard P. Conangla

We address quantum systems isospectral to the harmonic oscillator, as those found within the framework of supersymmetric quantum mechanics, as potential resources for continuous variable quantum information. These deformed oscillator…

Quantum Physics · Physics 2025-04-04 Abdelatif Chabane , Sidali Mohammdi , Abdelhakim Gharbi , Matteo G. A. Paris

Stochastic fluctuations in power injections from distributed energy resources (DERs) combined with load variability can cause constraint violations (e.g., exceeded voltage limits) in electric distribution systems. To monitor grid…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Paprapee Buason , Sidhant Misra , Samuel Talkington , Daniel K. Molzahn

One of the major issues in an interconnected power system is the low damping of inter-area oscillations which significantly reduces the power transfer capability. Advances in Wide-Area Measurement System (WAMS) makes it possible to use the…

Systems and Control · Computer Science 2018-04-19 Abhilash Patel , Sandip Ghosh , Komla A. Folly

We present experimental studies of the power spectrum and other fluctuation properties in the spectra of microwave networks simulating chaotic quantum graphs with violated time reversal in- variance. On the basis of our data sets we…

Chaotic Dynamics · Physics 2016-11-03 Malgorzata Bialous , Vitalii Yunko , Szymon Bauch , Michal Lawniczak , Barbara Dietz , Leszek Sirko

The simplest inflationary models present us with few observable parameters to discriminate between them. A detection of features in the spectra of primordial density perturbations could provide valuable insights and lead to stringent tests…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-14 J. R. Fergusson , H. F. Gruetjen , E. P. S. Shellard , M. Liguori

The shift from traditional synchronous generator (SG) based power generation to generation driven by power electronic devices introduces new dynamic phenomena and considerations for the control of large-scale power systems. In this paper,…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Matt Baughman , Marena Trujillo , Bri-Mathias Hodge , Emily Jensen

We consider the multi-frequency inverse source problem in the presence of a non-homogeneous medium using passive measurements. Precisely, we derive stability estimates for determining the source from the knowledge of only the imaginary part…

Analysis of PDEs · Mathematics 2024-04-23 Faouzi Triki , Kristoffer Linder-Steinlein , Mirza Karamehmedovic

This work deals with an inverse source problem for the biharmonic wave equation. A two-stage numerical method is proposed to identify the unknown source from the multi-frequency phaseless data. In the first stage, we introduce some…

Numerical Analysis · Mathematics 2024-01-08 Yan Chang , Yukun Guo , Yue Zhao
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