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We report a new approach to estimating power system inertia directly from time-series data on power system dynamics. The approach is based on the so-called Koopman Mode Decomposition (KMD) of such dynamic data, which is a nonlinear…

Signal Processing · Electrical Eng. & Systems 2020-10-01 Yoshihiko Susuki , Ryo Hamasaki , Atsushi Ishigame

Koopman Mode Decomposition (KMD) is a technique of nonlinear time-series analysis that originates from point spectrum of the Koopman operator defined for an underlying nonlinear dynamical system. We present a numerical algorithm of KMD…

Signal Processing · Electrical Eng. & Systems 2019-11-18 Akitoshi Masuda , Yoshihiko Susuki , Manel Martínez-Ramón , Andrea Mammoli , Atsushi Ishigame

In a controlled cyber-physical network, such as a power grid, any malicious data injection in the sensor measurements can lead to widespread impact due to the actions of the closed-loop controllers. While fast identification of the attack…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Sanchita Ghosh , Syed Ahsan Raza Naqvi , Sai Pushpak Nandanoori , Soumya Kundu

Real-time transient event identification is essential for power system situational awareness and protection. The increased penetration of Phasor Measurement Units (PMUs) enhance power system visualization and real time monitoring and…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Rui Ma , Sagnik Basumallik , Sara Eftekharnejad

Robust control and maintenance of the grid relies on accurate data. Both PMUs and state estimators are prone to false data injection attacks. Thus, it is crucial to have a mechanism for fast and accurate detection of an agent maliciously…

Machine Learning · Computer Science 2014-03-10 Hanie Sedghi , Edmond Jonckheere

This paper explores the detection and localization of cyber-attacks on time-series measurements data in power systems, focusing on comparing conventional machine learning (ML) like k-means, deep learning method like autoencoder, and graph…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Tianzhixi Yin , Syed Ahsan Raza Naqvi , Sai Pushpak Nandanoori , Soumya Kundu

Real time operation of the power grid and synchronism of its different elements require accurate estimation of its state variables. Errors in state estimation will lead to sub-optimal Optimal Power Flow (OPF) solutions and subsequent…

Cryptography and Security · Computer Science 2014-01-15 Deepjyoti Deka , Ross Baldick , Sriram Vishwanath

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

Data attacks on meter measurements in the power grid can lead to errors in state estimation. This paper presents a new data attack model where an adversary produces changes in state estimation despite failing bad-data detection checks. The…

Cryptography and Security · Computer Science 2015-05-11 Deepjyoti Deka , Ross Baldick , Sriram Vishwanath

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

Recent research has shown that the security of power grids can be seriously threatened by botnet-type cyber attacks that target a large number of high-wattage smart electrical appliances owned by end-users. Accurate detection and…

Cryptography and Security · Computer Science 2022-09-08 Hamidreza Jahangir , Subhash Lakshminarayana , Carsten Maple

Sensors such as phasor measurement units (PMUs) endowed with GPS receivers are ubiquitously installed providing real-time grid visibility. A number of PMUs can cooperatively enable state estimation routines. However, GPS spoofing attacks…

Systems and Control · Computer Science 2018-04-27 Paresh Risbud , Nikolaos Gatsis , Ahmad Taha

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately…

Optimization and Control · Mathematics 2016-02-25 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Phasor measurement units (PMUs) provide high-fidelity data that improve situation awareness of electric power grid operations. PMU datastreams inform wide-area state estimation, monitor area control error, and facilitate event detection in…

Signal Processing · Electrical Eng. & Systems 2020-08-24 Jun Jiang , Xuan Liu , Scott Wallace , Eduardo Cotilla-Sanchez , Robert Bass , Xinghui Zhao

This paper presents an interpretable machine learning approach that characterizes load dynamics within an operator-theoretic framework for electricity load forecasting in power grids. We represent the dynamics of load data using the Koopman…

Machine Learning · Computer Science 2024-12-02 Ali Tavasoli , Behnaz Moradijamei , Heman Shakeri

The Phasor Measurement Unit (PMU) is an important metering device for smart grid. Like any other Intelligent Electronic Device (IED), PMUs are prone to various types of cyberattacks. However, one form of attack is unique to the PMU, the…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Imtiaj Khan , Virgilio Centeno

In this paper, an extension to rules-based fault detection is demonstrated utilizing properties of the Koopman operator. The Koopman operator is an infinite-dimensional, linear operator that captures nonlinear, finite dimensional dynamics.…

Systems and Control · Computer Science 2017-03-22 Michael Georgescu , Sophie Loire , Don Kasper , Igor Mezic

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

Koopman mode decomposition (KMD) is a technique of nonlinear time-series analysis capable of decomposing data on complex spatio temporal dynamics into multiple modes oscillating with single frequencies, called the Koopman modes (KMs). We…

Signal Processing · Electrical Eng. & Systems 2020-08-28 Naoto Hiramatsu , Yoshihiko Susuki , Atsushi Ishigame

Increased connectivity and remote reprogrammability/reconfigurability features of embedded devices in current-day power systems (including interconnections between information technology -- IT -- and operational technology -- OT --…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Prashanth Krishnamurthy , Ali Rasteh , Ramesh Karri , Farshad Khorrami
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