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A Hopf bifurcation is prevalent in many nonlinear dynamical systems. When a system prior to a Hopf bifurcation is exposed to a sufficient level of noise, its noise-induced dynamics can provide valuable information about the impending…

Fluid Dynamics · Physics 2021-01-19 Minwoo Lee

The oscillation phenomena associated with the control of voltage source converters (VSCs) are widely concerning, and locating the source of these oscillations is crucial to suppressing them; therefore, this paper presents a locating scheme,…

Systems and Control · Electrical Eng. & Systems 2023-02-20 Zetian Zheng , Shaowei Huang , Jun Yan , Qiangsheng Bu , Chen Shen , Mingzhong Zheng , Ye Liu

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the dynamics of strong interacting discontinuities. The goal of…

Numerical Analysis · Mathematics 2023-01-16 Paola Bacigaluppi , Rémi Abgrall , Svetlana Tokareva

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to exploit the method for bifurcation analysis, i.e., for the detection…

Dynamical Systems · Mathematics 2016-04-20 Thibaut Detroux , Ludovic Renson , Luc Masset , Gaetan Kerschen

There is an increasing need for monitoring and controlling uncertainties brought by distributed energy resources in distribution grids. For such goal, accurate multi-phase topology is the basis for correlating measurements in unbalanced…

Systems and Control · Computer Science 2019-07-15 Yizheng Liao , Yang Weng , Guangyi Liu , Zhongyang Zhao , Chin-woo Tan , Ram Rajagopal

To determine the regular or chaotic nature of the orbits in dynamical systems can be quite an issue. In this article, following Vozikis et al. (2000), we propose a new tool, namely, the Power Spectrum Indicator (PSI), $\psi^2$, that enables…

Chaotic Dynamics · Physics 2018-08-02 Christos Vozikis , Konstantinos Kleidis , Stavros Papaioannou

Energy detection process for enabling opportunistic spectrum access in dynamic primary user (PU) scenarios, where PU changes state from active to inactive at random time instances, requires estimation of several parameters ranging from…

Information Theory · Computer Science 2020-03-23 Jakub Nikonowicz , Aamir Mahmood , Mikael Gidlund

Poorly damped oscillations pose threats to the stability and reliability of interconnected power systems. In this work, we propose a comprehensive data-driven framework for inferring the sources of forced oscillation (FO) using solely…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Shaohui Liu , Hao Zhu , Vassilis Kekatos

This paper describes a novel approach to analyze and control systems with multi-mode oscillation problems. Traditional single dominant mode analysis fails to provide effective control actions when several modes have similar low damping…

Systems and Control · Computer Science 2017-12-19 Horacio Silva-Saravia , Yajun Wang , Hector Pulgar-Painemal , Kevin Tomsovic

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

A consensus-based optimization (CBO) algorithm, which enables derivative and mesh-free optimization, is presented to localize a bioluminescent source. The light propagation is modeled by the radiative transfer equation approximated by…

Quantitative Methods · Quantitative Biology 2024-11-04 Jan Friedrich , Sarah Schraven , Fabian Kiessling , Michael Herty

For dynamical systems that can be modelled as asymptotically stable linear systems forced by Gaussian noise, this paper develops methods to infer or estimate their modes from observations in real time. The modes can be real or complex. For…

Machine Learning · Statistics 2019-10-30 Robert S. MacKay

This paper proposes a network decoupling method based on Holomorphic Embedding (HE) for voltage stability analysis. Using the proposed HE method with a physical load scaling factor s, it develops a set of decoupled two-bus circuit channels…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Qiupin Lai , Chengxi Liu , Kai Sun

We develop a framework to uncover and analyze dynamical anomalies from massive, nonlinear and non-stationary time series data. The framework consists of three steps: preprocessing of massive data sets to eliminate erroneous data segments,…

Medical Physics · Physics 2016-12-26 Liang Huang , Xuan Ni , William L. Ditto , Mark Spano , Paul R. Carney , Ying-Cheng Lai

This paper presents a systematic approach to detecting High Impedance Faults (HIFs) in medium voltage distribution networks using recurrence plots and machine learning. We first simulate 1150 internal faults, including 300 HIFs, 1000…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Pallav Kumar Bera , Samita Rani Pani , Rajesh Kumar

With the continued deployment of synchronized Phasor Measurement Units (PMUs), high sample rate data are rapidly increasing the real time observability of power systems. Prior research has shown that the statistics of these data can provide…

Systems and Control · Computer Science 2018-05-11 Samuel Chevalier , Paul D. H. Hines

Phasor measurement units (PMUs) create ample real-time monitoring opportunities for modern power systems. Among them, line outage detection and identification remains a crucial but challenging task. Current works on outage identification…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Xiaozhou Yang , Nan Chen

Optomechanical systems combine extreme sensitivity and bandwidth in the control of mechanical motion, of interest for various applications. Integrated on a chip, actuated and detected all-optically by a single laser, they could disrupt…