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Oscillations in a power system can be categorized into free oscillations and forced oscillations. Many algorithms have been developed to estimate the modes of free oscillations in a power system. Recently, forced oscillations caught many…

Systems and Control · Computer Science 2017-01-31 Mohammadreza Ghorbaniparvar

Sustained oscillations observed in power systems can damage equipment, degrade the power quality and increase the risks of cascading blackouts. There are several mechanisms that can give rise to oscillations, each requiring different…

Systems and Control · Computer Science 2015-10-12 Xiaozhe Wang , Konstantin Turitsyn

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

Forced oscillation event in power grids refers to a state where malfunctioning or abnormally operating equipment causes persisting periodic disturbances in the system. While power grids are designed to damp most of perturbations during…

Adaptation and Self-Organizing Systems · Physics 2023-06-12 Robin Delabays , Andrey Y. Lokhov , Melvyn Tyloo , Marc Vuffray

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

We show how frequency fluctuations of a vibrational mode can be separated from other sources of phase noise. The method is based on the analysis of the time dependence of the complex amplitude of forced vibrations. The moments of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Z. A. Maizelis , M. L. Roukes , M. I. Dykman

Forced oscillation (FO) is a significant concern threating the power system stability. Its mechanisms are mostly studied via linear models. However, FO amplitude is increasing, e.g., Nordic and Western American FOs, which can stimulate…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Yichen Zhou , Jianwei Wu

We consider detecting the evolutionary oscillatory pattern of a signal when it is contaminated by non-stationary noises with complexly time-varying data generating mechanism. A high-dimensional dense progressive periodogram test is proposed…

Methodology · Statistics 2023-07-20 Hau-Tieng Wu , Zhou Zhou

We consider an oscillator model to describe qualitatively friction force for an atomic force mi-croscope (AFM) tip driven on a surface described by periodic potential. It is shown that average value of the friction force could be controlled…

Pattern Formation and Solitons · Physics 2020-10-06 E. V. Kazantseva , Y. Braiman , J. Barhen

Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent results show how bifurcations near resonances can be…

Dynamical Systems · Mathematics 2020-11-11 Mattia Cenedese , George Haller

Phasor Measurement Units (PMUs) convert high-speed waveform data into low-speed phasor data, which are fundamental to wide-area monitoring and control in power systems, with oscillation detection and localization among their most prominent…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Bowen Ou , Bin Wang , Slava Maslennikov , Hanchao Liu , Jim Follum

Timely recognition of voltage instability is crucial to allow for effective control and protection interventions. Phasor measurements units (PMUs) can be utilized to provide high sampling rate time-synchronized voltage and current phasors…

Systems and Control · Computer Science 2013-08-05 R. Leelaruji , L. Vanfretti , J. O. Gjerde , S. Lovlund

Consider a periodically forced nonlinear system which can be presented as a collection of smaller subsystems with pairwise interactions between them. Each subsystem is assumed to be a massive point moving with friction on a compact surface,…

Dynamical Systems · Mathematics 2015-09-25 Ivan Polekhin

Multiplicity of phase states within frequency locked bands in periodically forced oscillatory systems may give rise to front structures separating states with different phases. A new front instability is found within bands where…

patt-sol · Physics 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

Installation of phasor measurement units (PMUs) in a number of substations in the power grid can help assess a set of its values and parameters, in particular those related to the dynamics when disturbances occur in the system. Inertia…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Mohammadali Hayerikhiyavi , Aleksandar Dimitrovski

Periodic phenomena are oscillating signals found in many naturally-occurring time series. A periodogram can be used to measure the intensities of oscillations at different frequencies over an entire time series but sometimes we are…

Computers and Society · Computer Science 2023-02-21 Alan F. Smeaton , Feiyan Hu

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

Malfunctioning equipment, erroneous operating conditions or periodic load variations can cause periodic disturbances that would persist over time, creating an undesirable transfer of energy across the system -- an effect referred to as…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Melvyn Tyloo , Marc Vuffray , Andrey Y. Lokhov

Power system oscillations are a significant concern for system operators, a problem that has grown due to the interconnection of inverter-based resources. To address this issue, various methods have been proposed to locate the sources of…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Wilsun Xu , Jing Yong , Horacio J. Marquez , Chun Li

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple…

Dynamical Systems · Mathematics 2022-12-28 Carles Bonet , Mike R. Jeffrey , Pau Martín , Josep M. Olm
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