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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

In modern power systems, the Rate-of-Change-of-Frequency (ROCOF) may be largely employed in Wide Area Monitoring, Protection and Control (WAMPAC) applications. However, a standard approach towards ROCOF measurements is still missing. In…

Signal Processing · Electrical Eng. & Systems 2019-03-22 Guglielmo Frigo , Asja Derviskadic , Yihui Zuo , Mario Paolone

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

Synchrophasor technology is an emerging and developing technology for monitoring and control of wide area measurement systems (WAMS). In an elementary WAMS, two identical phasors measured at two different locations have difference in the…

Signal Processing · Electrical Eng. & Systems 2025-04-15 Nisarg Trivedi

This paper presents a gradient-based method for on-the-fly optimization for both per-frame and per-frequency window length of the short-time Fourier transform (STFT), related to previous work in which we developed a differentiable version…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Maxime Leiber , Yosra Marnissi , Axel Barrau , Mohammed El Badaoui

Phase retrieval from phaseless short-time Fourier transform (STFT) measurements is known to be inherently unstable when measurements are taken with respect to a single window. While an explicit inversion formula exists, it is useless in…

Functional Analysis · Mathematics 2025-06-19 Rima Alaifari , Yunan Yang

In this paper, a phasor measurement unit (PMU)-based wide-area damping control method is proposed to damp the interarea oscillations that threaten the modern power system stability and security. Utilizing the synchronized PMU data, the…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Ilias Zenelis , Xiaozhe Wang

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

Quantitative Methods · Quantitative Biology 2019-01-30 Christopher K. Kovach , Phillip E. Gander

The Discrete Fourier Transform (DFT) is widely utilized for signal analysis but is plagued by spectral leakage, leading to inaccuracies in signal approximation. Window functions play a crucial role in mitigating spectral leakage by…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Haichao Xu , Xingpao Suo

The most commonly used weighted least square state estimator in power industry is nonlinear and formulated by using conventional measurements such as line flow and injection measurements. PMUs (Phasor Measurement Units) are gradually adding…

Systems and Control · Computer Science 2017-03-22 Hossein A. Sangrody , Mohammad Taghi Ameli

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of…

Real-time tracking of inertia is important because it reflects the power system's ability to withstand contingencies and maintain frequency security. This paper proposes a practical approach to estimate inertia using ambient phasor…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Anushka Sharma , Anamitra Pal , Rajasekhar Anguluri , Tamojit Chakraborty

To comprehensively assess optical fiber communication system conditions, it is essential to implement joint estimation of the following four critical impairments: nonlinear signal-to-noise ratio (SNRNL), optical signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Ting Jiang , Zheng Gao , Yizhao Chen , Zihe Hu , Ming Tang

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

The properties of the Gabor and Morlet transforms are examined with respect to the Fourier analysis of discretely sampled data. Forward and inverse transform pairs based on a fixed window with uniform sampling of the frequency axis can…

Data Analysis, Statistics and Probability · Physics 2013-07-23 Robert W. Johnson

The problem of effective use of Phasor Measurement Units (PMUs) to enhance power systems awareness and security is a topic of key interest. The central question to solve is how to use this new measurements to reconstruct the state of the…

Systems and Control · Electrical Eng. & Systems 2020-04-16 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer , M. Nicolai L. Lorenz-Meyer

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy

In this article, we develop comprehensive frequency domain methods for estimating and inferring the second-order structure of spatial point processes. The main element here is on utilizing the discrete Fourier transform (DFT) of the point…

Methodology · Statistics 2025-01-24 Junho Yang , Yongtao Guan

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

Signal Processing · Electrical Eng. & Systems 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

To reach the next frontier in multimode nonlinear optics, it is crucial to better understand the classical and quantum phenomena of systems with many interacting degrees of freedom -- both how they emerge and how they can be tailored to…

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