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Phasor measurement units (PMUs) can be effectively utilized for the monitoring and control of the power grid. As the cyber-world becomes increasingly embedded into power grids, the risks of this inevitable evolution become serious. In this…

Systems and Control · Computer Science 2016-05-23 Ahmad F. Taha , Junjian Qi , Jianhui Wang , Jitesh H. Panchal

Power systems are highly complex, large-scale engineering systems subject to many uncertainties, which makes accurate mathematical modeling challenging. This paper proposes a novel, centralized dynamic state estimator for power systems that…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Milos Katanic , John Lygeros , Gabriela Hug

Periodicity is a common feature of time series. For finite-dimensional data, periodic autoregressive moving average (ARMA) models have been extensively studied. In functional time series analysis, AR models have been extended to incorporate…

Methodology · Statistics 2025-12-18 Sebastian Kühnert , Juhyun Park

A wavelet transform spectrum analyzer operating in real time within the frequency range 3X10^(-5) - 1.3X10^5 Hz has been implemented on a low-cost Digital Signal Processing board operating at 150MHz. The wavelet decomposition of the signal…

Statistical Mechanics · Physics 2009-11-07 Doriano Brogioli , Alberto Vailati

We systematically generate the perturbative expansion for the two-particle spin susceptibility in the Feynman diagrammatic formalism and apply this expansion to a model system - the single-band Hubbard model on a square lattice. We make use…

Strongly Correlated Electrons · Physics 2020-07-15 Amir Taheridehkordi , S. H. Curnoe , J. P. F. LeBlanc

In modern power systems, grid-forming power converters (GFMCs) have emerged as an enabling technology. However, the modeling of single-phase GFMCs faces new challenges. In particular, the nonlinear orthogonal signal generation unit, crucial…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Wenjia Si , Chenming Liu , Steven Liu , Hongchang Li , Chenghui Zhang , Jingyang Fang

Modern advances in sensor, computing, and communication technologies enable various smart grid applications. The heavy dependence on communication technology has highlighted the vulnerability of the electricity grid to false data injection…

Cryptography and Security · Computer Science 2018-09-18 Xiangyu Niu Jiangnan Li , Jinyuan Sun

Power domination is a graph-theoretic model for the observance of a power grid using phasor measurement units (PMUs). There are many costs associated with the installation of a PMU, but also costs associated with not observing the entire…

Combinatorics · Mathematics 2026-02-19 Beth Bjorkman , Sean English , Johnathan Koch

The abundance of functional observations in scientific endeavors has led to a significant development in tools for functional data analysis (FDA). This kind of data comes with several challenges: infinite-dimensionality of function spaces,…

Methodology · Statistics 2015-12-11 J. S. Marron , James O. Ramsay , Laura M. Sangalli , Anuj Srivastava

Radio emission from massive binary systems is generally of composite nature, showing both a thermal emission component from the winds and a non-thermal component from relativistic electrons accelerated in the colliding-wind region.…

Solar and Stellar Astrophysics · Physics 2025-08-15 M. Tasseroul , M. De Becker , A. B Blanco , P. Benaglia , S. del Palacio

Functional principal component analysis (FPCA) is an important technique for dimension reduction in functional data analysis (FDA). Classical FPCA method is based on the Karhunen-Lo\`{e}ve expansion, which assumes a linear structure of the…

Methodology · Statistics 2023-06-27 Rou Zhong , Chunming Zhang , Jingxiao Zhang

Phasor Measurement Unit measurement data have been widely used in nowadays power system applications both in steady state and dynamic analysis. The performance of these applications running in utilities' energy management system depends…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Chen Wang , Virgilio A. Centeno , Kevin D. Jones , Duotong Yang

The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

Abnormal event detection is critical in the safe operation of power system. In this paper, using the data collected from phasor measurement units (PMUs), two methods based on Fisher random matrix are proposed to detect faults in power…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Ke Chen , Dandan Jiang , Bo Wang , Hongxia Wang

Following the trends of index modulated (IM) techniques for optical communications, in the last few years several new waveform proposals have been made, aiming at conveying a higher density of information by driving different signal…

Signal Processing · Electrical Eng. & Systems 2020-04-07 Francisco J. Escribano , Alexandre Wagemakers

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

This paper explores whether graph embedding methods can be used as a tool for analysing the robustness of power-grids within the framework of network science. The paper focuses on the strain elevation tension spring embedding (SETSe)…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Jonathan Bourne

Power grids increasingly need real-time situational awareness under the ever-evolving cyberthreat landscape. Advances in snapshot-based system identification approaches have enabled accurately estimating states and topology from a snapshot…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Shimiao Li , Guannan Qu , Bryan Hooi , Vyas Sekar , Soummya Kar , Larry Pileggi

The energy transition, crucial for tackling the climate crisis, demands integrating numerous distributed, renewable energy sources into existing grids. Along with climate change and consumer behavioral changes, this leads to changes and…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Alban Puech , Jonas Weiss , Thomas Brunschwiler , Hendrik F. Hamann

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang