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We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn from an invariant random matrix…

Information Theory · Computer Science 2017-05-12 Burak Çakmak , Manfred Opper , Ole Winther , Bernard H. Fleury

Large power systems are complex and real-time modeling of the grid for electromagnetic simulation (EMT) studies is impractical. In general, there are methods that reduce large power system into an equivalent network that requires less…

Signal Processing · Electrical Eng. & Systems 2019-07-25 Abilash Thakallapelli , Sudipta Ghosh , Sukumar Kamalasadan

Scientific data, from cellular snapshots in biology to celestial distributions in cosmology, often consists of static patterns from underlying dynamical systems. These snapshots, while lacking temporal ordering, implicitly encode the…

Machine Learning · Computer Science 2025-09-23 Yanbo Zhang , Michael Levin

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

Dynamical Systems · Mathematics 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

This paper presents a tensor-recovery method to solve probabilistic power flow problems. Our approach generates a high-dimensional and sparse generalized polynomial-chaos expansion that provides useful statistical information. The result…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 Zheng Zhang , Hung Dinh Nguyen , Konstantin Turitsyn , Luca Daniel

Standard methods for describing the intensity distribution of mechanical and acoustic wave fields in the high frequency asymptotic limit are often based on flow transport equations. Common techniques are statistical energy analysis,…

Chaotic Dynamics · Physics 2012-08-21 D. J. Chappell , S. Giani , G. Tanner

In this paper we consider the nonlinear inverse problem of phase retrieval in the context of dynamical sampling. Where phase retrieval deals with the recovery of signals & images from phaseless measurements, dynamical sampling was…

Numerical Analysis · Mathematics 2021-02-02 Robert Beinert , Marzieh Hasannasab

Inverter-based resources (IBRs) exhibit fast transient dynamics during network disturbances, which often cannot be properly captured by phasor and SCADA measurements. This shortcoming has recently been addressed with the advent of waveform…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Shivanshu Tripathi , Hossein Mohsenzadeh Yazdi , Maziar Raissi , Hamed Mohsenian-Rad

A timely, accurate, and secure dynamic state estimation is needed for reliable monitoring and efficient control of microgrids. The synchrophasor technology enables us to obtain synchronized measurements in real-time and to develop dynamic…

Systems and Control · Electrical Eng. & Systems 2019-08-19 Dariush Fooladivanda , Qie Hu , Young Hwan Chang , Peter Sauer

Due to the evolving nature of power grids and model uncertainty, the online stability assessment of electrical power systems is always a challenging problem. This paper aims to provide a theoretical framework for estimating the region of…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Chao Zhai

The recent advanced wireless energy harvesting technology has enabled wireless-powered communications to accommodate wireless data services in a self-sustainable manner. However, wireless-powered communications rely on active RF signals to…

Networking and Internet Architecture · Computer Science 2017-12-12 Xiao Lu , Hai Jiang , Dusit Niyato , Dong In Kim , Zhu Han

As power systems evolve with the integration of renewable energy sources and the implementation of smart grid technologies, there is an increasing need for flexible and scalable modeling approaches capable of accurately capturing the…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Amir Bahador Javadi , Philip Pong

Sensing is one of the most fundamental tasks for the monitoring, forecasting and control of complex, spatio-temporal systems. In many applications, a limited number of sensors are mobile and move with the dynamics, with examples including…

Machine Learning · Computer Science 2023-07-25 Megan R. Ebers , Jan P. Williams , Katherine M. Steele , J. Nathan Kutz

Power-spectrum analysis is an important tool providing critical information about a signal. The range of applications includes communication-systems to DNA-sequencing. If there is interference present on a transmitted signal, it could be…

Instrumentation and Methods for Astrophysics · Physics 2015-03-18 Yogindra Abhyankar , Sajish C. , Yogesh Agarwal , C. R. Subrahmanya , Peeyush Prasad

In this paper, we establish a connection between the recently developed data-driven time-frequency analysis \cite{HS11,HS13-1} and the classical second order differential equations. The main idea of the data-driven time-frequency analysis…

Information Theory · Computer Science 2013-12-03 T. Y. Hou , Z. Shi , P. Tavallali

We provide an open-access dataset of phasor & waveform measurement units (PMUs/WMUs) of a real-world electrical distribution network. The network consists of diverse sets of generation resources (including solar panels, fuel cells, natural…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Yiheng Xie , Lucien Werner , Kaibo Chen , Thuy-Linh Le , Christine Ortega , Steven Low

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

Many data-driven modules in smart grid rely on access to high-quality power flow data; however, real-world data are often limited due to privacy and operational constraints. This paper presents a physics-informed generative framework based…

Machine Learning · Computer Science 2025-04-25 Junfei Wang , Darshana Upadhyay , Marzia Zaman , Pirathayini Srikantha

Accurate state estimation is a crucial requirement for the reliable operation and control of electric power systems. Here, we construct a data-driven, numerical method to infer missing power load values in large-scale power grids. Given…

Systems and Control · Electrical Eng. & Systems 2026-02-23 Philippe Jacquod , Laurent Pagnier , Daniel J. Gauthier

For decades, power system stabilizers paired with high initial response automatic voltage regulators have served as an effective means of meeting sometimes conflicting system stability requirements. Driven primarily by increases in power…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen
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