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Controllability and observability have long been recognized as fundamental structural properties of dynamical systems, but have recently seen renewed interest in the context of large, complex networks of dynamical systems. A basic problem…

Optimization and Control · Mathematics 2016-11-18 Tyler H. Summers , Fabrizio L. Cortesi , John Lygeros

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

In this paper, we introduce Voltage Phasor Control (VPC), also known as Phasor Based Control, as a novel way of implementing Optimal Power Flow (OPF). Unlike conventional OPF, in which the power flow optimization broadcasts power…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Keith Moffat , Alexandra von Meier

The growing integration of distributed energy resources (DERs) in urban distribution grids raises various reliability issues due to DER's uncertain and complex behaviors. With a large-scale DER penetration, traditional outage detection…

Systems and Control · Computer Science 2018-11-15 Yizheng Liao , Yang Weng , Chin-Woo Tan , Ram Rajagopal

The statistical characterization of the measurement errors of a phasor measurement unit (PMU) is currently receiving considerable interest in the power systems community. This paper focuses on the characteristics of the errors in magnitude…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Demetra Salls , Jairo Ramírez Torres , Antos Cheeramban Varghese , John Patterson , Anamitra Pal

Accurate real-time assessment of power systems voltage stability has been an active area of research in the past few decades. In the past decade, after the development of phasor measurement units (PMU), a lot of discussions has been going…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Gourav Wadhwa , Amandeep Kharb , Satyam Mishra , Mohit Kumar , Shreyansh Srivastav

In a graph $G = (V,E)$, a k-ruling set $S$ is one in which all vertices $V$ \ $S$ are at most $k$ distance from $S$. Finding a minimum k-ruling set is intrinsically linked to the minimum dominating set problem and maximal independent set…

Data Structures and Algorithms · Computer Science 2024-09-27 Max Koster

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

We present new greedy and beam search heuristic methods to find small-size $k$-dominating sets in graphs. The methods are inspired by a new problem formulation which explicitly highlights a certain structure of the problem. An empirical…

Discrete Mathematics · Computer Science 2021-11-16 Padraig Corcoran , Andrei Gagarin

Zero forcing and power domination are iterative processes on graphs where an initial set of vertices are observed, and additional vertices become observed based on some rules. In both cases, the goal is to eventually observe the entire…

Combinatorics · Mathematics 2017-03-02 Daniela Ferrero , Leslie Hogben , Franklin H. J. Kenter , Michael Young

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

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

Optimal sensor placement is essential for minimizing costs and ensuring accurate state estimation in power systems. This paper introduces a novel method for optimal sensor placement for dynamic state estimation of power systems modeled by…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Milos Katanic , Yi Guo , John Lygeros , Gabriela Hug

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

Time-domain simulations are a critical tool for power system operators. Depending on the instability mechanism under consideration and the system characteristics, such as the time constants of controllers, either phasor or Electro-Magnetic…

Systems and Control · Electrical Eng. & Systems 2020-02-27 Georgios Misyris , Spyros Chatzivasileiadis , Tilman Weckesser

A locating-dominating set is a subset of vertices representing "detectors" in a graph G; each detector monitors its closed neighborhood and can distinguish its own location from its neighbors, and given all sensor input, the system can…

Discrete Mathematics · Computer Science 2022-12-19 Devin Jean , Suk Seo

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

Machine Learning · Statistics 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

Accurately modeling power distribution grids is crucial for designing effective monitoring and decision making algorithms. This paper addresses the partial observability issue of data-driven distribution modeling in order to improve the…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Shanny Lin , Hao Zhu

The dominating set problem (DSP) is one of the most famous problems in combinatorial optimization. It is defined as follows. For a given simple graph $G=(V,E)$, a dominating set of $G$ is a subset $S\subseteq V$ such that every vertex in $…

Combinatorics · Mathematics 2022-11-01 Nima Ghanbari , Gerold Jäger , Tuomo Lehtilä

Big data analytic applications using phasor measurements help improve the situation awareness of grid operators to better operate and control the system. Phasor measurement unit (PMU) data from actual grids is viewed as highly confidential…

Systems and Control · Electrical Eng. & Systems 2019-09-10 Ti Xu , Hanyue Li , Adam B. Birchfield , Thomas J. Overbye
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