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Assuming that a constant potential energy function has meaning for a dissipated harmonic oscillator, then an important issue is the time dependence of the turning points. Turning point studies demonstrate that the common model of external…

Classical Physics · Physics 2007-05-23 Randall D. Peters

Assuming access to synchronized stream of Phasor Measurement Unit (PMU) data over a significant portion of a power system interconnect, say controlled by an Independent System Operator (ISO), what can you extract about past, current and…

Data Analysis, Statistics and Probability · Physics 2020-09-25 Mauro Escobar , Daniel Bienstock , Michael Chertkov

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac

A method is presented to generalize the power detectors for short bursts of gravitational waves that have been developed for single interferometers so that they can optimally process data from a network of interferometers. The performances…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

Forced oscillations threaten the reliability of widearea power systems, and different approaches to estimate forced oscillation have been explored over the past several years. Though these efforts provide powerful tools to estimate a forced…

Signal Processing · Electrical Eng. & Systems 2023-05-30 Zikai Xu , John W. Pierre

Today's evolving power system contains an increasing amount of power electronic interfaced energy sources and loads that require a paradigm shift in utility operations. Sub-synchronous oscillations at frequencies around 13-15 Hz, for…

Signal Processing · Electrical Eng. & Systems 2020-12-23 Mohammed-Ilies Ayachi , Luigi Vanfretti , Shehab Ahmed

The increasing penetration of inertialess new renewable energy sources reduces the overall mechanical inertia available in power grids and accordingly raises a number of issues of grid stability over short to medium time scales. It has been…

Optimization and Control · Mathematics 2021-02-16 Laurent Pagnier , Philippe Jacquod

This article proposes an application of a derisking methodology of subsynchronous torsional oscillations considering a realistic use case. The main objective is to summarize and draft a synthetic paper clarifying the complete methodology…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Nicolas Bonafé , Julian Freytes , Hani Saad

Integration of intermittent renewable energy sources in modern power systems is increasing very fast. Replacement of synchronous generators with zero-to-low variable renewables substantially decreases the system inertia. In a large system,…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Mingjian Tuo , Xingpeng Li

We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above…

chao-dyn · Physics 2009-10-31 I. M. Khalatnikov , M. Kroyter

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

Physics and Society · Physics 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

Searches for gravitational wave signals which do not have a precise model describing the shape of their waveforms are often performed using power detectors based on a quadratic form of the data. A new, optimal method of generalizing these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

This paper focuses on stability estimates of the inverse random source problems for the polyharmonic, electromagnetic, and elastic wave equations. The source is represented as a microlocally isotropic Gaussian random field, which is defined…

Analysis of PDEs · Mathematics 2024-10-11 Peijun Li , Ying Liang , Xu Wang

This paper proposes a data-driven algorithm of locating the source of forced oscillations and suggests the physical interpretation of the method. By leveraging the sparsity of the forced oscillation sources along with the low-rank nature of…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Tong Huang , Nikolaos M. Freris , P. R. Kumar , Le Xie

The recently introduced discrete power-based control (Ruderman (2024b)) reduces largely the communication efforts in the control loop when compensating for the marginally damped or even slowly diverging output oscillations. The control…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Michael Ruderman , Denis Efimov

The rapid proliferation of data centers is reshaping modern power system dynamics. Unlike legacy industrial loads, data centers have power-electronic interfaces whose multi-timescale dynamics can interact strongly with the grid, inducing…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Xingyu Zhao , Junbo Zhao

We study the problem of localizing multiple sources of forced oscillations (FOs) and estimating their characteristics, such as frequency, phase, and amplitude, using noisy PMU measurements. For each source location, we model the input…

Applications · Statistics 2022-01-21 Rajasekhar Anguluri , Nima Taghipourbazargani , Oliver Kosut , Lalitha Sankar

In a power system, when the participation factors of generators are computed to rank their participations into an oscillatory mode, a model-based approach is conventionally used on the linearized system model by means of the corresponding…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Tianwei Xia , Zhe Yu , Kai Sun , Di Shi , Kaiyang Huang

Power systems are usually large non-linear systems, which are often subjected to low frequency electromechanical oscillations. Power System Stabilizers are often used as effective and economic means for damping the generator's…

Systems and Control · Computer Science 2014-07-02 R. Latha , S. Kanthalakshmi , J. Kanagaraj