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The paper establishes a methodology to overcome the difficulty of dynamic frame alignment and system separation in impedance modeling of ac grids, and thereby enables impedance-based whole-system modeling of generator-converter composite…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Yunjie Gu , Yitong Li , Yue Zhu , Tim Green

We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively,…

Chaotic Dynamics · Physics 2021-09-22 C. S. Barquist , W. G. Jiang , K. Gunther , Y. Lee

We present a method for analyzing the phase noise of oscillators based on feedback driven high quality factor resonators. Our approach is to derive the phase drift of the oscillator by projecting the stochastic oscillator dynamics onto a…

Pattern Formation and Solitons · Physics 2015-10-28 Eyal Kenig , M. C. Cross

Modelling the noise emitted by turbulent jets is made difficult by their acoustic inefficiency: only a tiny fraction of the near-field turbulent kinetic energy is propagated to the far field as acoustic waves. As a result, jet-noise models…

Fluid Dynamics · Physics 2023-07-05 Ugur Karban , Benjamin Bugeat , Aaron Towne , Lutz Lesshafft , Anurag Agarwal , Peter Jordan

Localized vibrations, arising from nonlinearities or symmetry breaking, pose a challenge in engineering, as the resulting high-amplitude vibrations may result in component failure due to fatigue. During operation, the emergence of…

Dynamical Systems · Mathematics 2025-05-16 Charlotte Geier , Norbert Hoffmann

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

The phase reduction method for a limit cycle oscillator subjected to a strong amplitude-modulated high-frequency force is developed. An equation for the phase dynamics is derived by introducing a new, effective phase response curve. We show…

Chaotic Dynamics · Physics 2015-06-08 Kestutis Pyragas , Viktor Novičenko

Sustained oscillations observed in power systems can damage equipment, degrade the power quality and increase the risks of cascading blackouts. There are several mechanisms that can give rise to oscillations, each requiring different…

Systems and Control · Computer Science 2015-10-12 Xiaozhe Wang , Konstantin Turitsyn

Sustained oscillations (SOs) are commonly observed in systems dominated by converters. Under specific conditions, even though the origin of SOs can be identified through negative damping modes using conventional linear analysis, utilizing…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Chongbin Zhao , Qirong Jiang

The problem of locating an odor source in turbulent flows is central to key applications such as environmental monitoring and disaster response. We address this challenge by designing an algorithm based on Bayesian inference, which uses…

Fluid Dynamics · Physics 2025-04-11 Lorenzo Piro , Robin A. Heinonen , Massimo Cencini , Luca Biferale

Estimating force constants for crystal structures is crucial for calculating various phonon-related properties. However, this task becomes particularly challenging when dealing with a large number of atoms or when third- and higher-order…

Materials Science · Physics 2024-10-29 Atsuto Seko , Atsushi Togo

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

In this paper, the empirical controllability covariance (ECC), which is calculated around the considered operating condition of a power system, is applied to quantify the degree of controllability of system voltages under specific dynamic…

Optimization and Control · Mathematics 2016-08-03 Junjian Qi , Weihong Huang , Kai Sun , Wei Kang

A major aspect in power line distribution networks is the constant monitoring of the network properties. With the advent of the smart grid concept, distributed monitoring has started complementing the information of the central stations. In…

Physics and Society · Physics 2019-02-07 Federico Passerini , Andrea M. Tonello

Reasonable vibration reduction design is an important way to achieve low phase noise index of airborne frequency source output signal. Aiming at the problem of phase noise deterioration of an airborne frequency source under random…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Liwei Yin , Yongjiang Shu , Heng Zhang , Yuefei Dai , Xiaopeng Lu , Yunlong Lian , Zhonghua Wang , Yong Ding

This paper evaluates the frequency performance of an AC system when primary frequency response is provided by inverter-based resources located at remote-areas. Due to potentially larger wave propagation constants over longer lines, fast…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Georgios Misyris , Deepak Ramasubramanian , Parag Mitra , Vikas Singhvi

Accurate and quick identification of high-impedance faults is critical for the reliable operation of distribution systems. Unlike other faults in power grids, HIFs are very difficult to detect by conventional overcurrent relays due to the…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Yuqi Zhou , Yuqing Dong , Rui Yang

This article proposes an application of a derisking methodology of subsynchronous torsional oscillations considering a realistic use case. The main objective is to summarize and draft a synthetic paper clarifying the complete methodology…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Nicolas Bonafé , Julian Freytes , Hani Saad

A systematic method for the design of linear residual generators for combined fault detection and estimation in nonlinear systems is developed. The proposed residual generator is a linear functional observer built for an extended system…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Sunjeev Venkateswaran , Costas Kravaris

We study the stationary and nonstationary measurement of a classical force driving a mechanical oscillator coupled to an electromagnetic cavity under two-tone driving. For this purpose, we develop a theoretical framework based on the…

Quantum Physics · Physics 2020-11-26 D. N. Bernal-García , H. Vinck-Posada , M. J. Woolley