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We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

We study the problem of controlling oscillations in closed loop by combining positive and negative feedback in a mixed configuration. We develop a complete design procedure to set the relative strength of the two feedback loops to achieve…

Systems and Control · Electrical Eng. & Systems 2021-09-08 W. Che , F. Forni

We propose a method to continually monitor the energy of a quantum system. We show that by having some previous knowledge of the system's dynamics, but not all of it, one can use the measured energy to determine many other quantities, such…

Quantum Physics · Physics 2019-03-29 Gabriel P. Martins , Nadja K. Bernardes , Marcelo F. Santos

This paper presents a trajectory tracking control strategy that modulates the active power injected by geographically distributed inverter-based resources to support transient stability. Each resource is independently controlled, and its…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

This paper develops a new dynamic power profiling approach for modeling AI-centric datacenter loads and analyzing their impact on grid operations, particularly their potential to induce wide-area grid oscillations. We characterize the…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Min-Seung Ko , Hao Zhu

Incorporating renewable energy sources into modern power grids has significantly decreased system inertia, which has raised concerns about power system vulnerability to disturbances and frequency instability. The conventional methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Negar Monir , Mahdieh S. Sadabadi , Sadegh Soudjani

Oscillator models are central to the study of system properties such as entrainment or synchronization. Due to their nonlinear nature, few system-theoretic tools exist to analyze those models. The paper develops a sensitivity analysis for…

Dynamical Systems · Mathematics 2024-05-03 Pierre Sacré , Rodolphe Sepulchre

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

In this paper, we propose a data-driven energy storage system (ESS)-based method to enhance the online small-signal stability monitoring of power networks with high penetration of intermittent wind power. To accurately estimate inter-area…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Ilias Zenelis , Georgia Pierrou , Xiaozhe Wang

We consider new performance measures for vibrational systems based on the $H_2$ norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both…

Optimization and Control · Mathematics 2019-06-04 Ivica Nakić , Zoran Tomljanović , Ninoslav Truhar

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Wide-area synchrophasor ambient measurements provide a valuable data source for real-time oscillation mode monitoring and analysis. This paper introduces a novel method for identifying inter-area oscillation modes using wide-area ambient…

Signal Processing · Electrical Eng. & Systems 2021-03-03 Shutang You

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

We consider the common problem setting of an elastic sphere impacting on a flexible beam. In contrast to previous studies, we analyze the modal energy distribution induced by the impact, having in mind the particular application of impact…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Felix Gehr , Timo Theurich , Carlo Monjaraz-Tec , Johann Gross , Stefan Schwarz , Andreas Hartung , Malte Krack

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

Optimization and Control · Mathematics 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

This paper presents a model predictive control (MPC)-based online real-time adaptive control scheme for emergency voltage control in power systems. Despite tremendous success in various applications, real-time implementation of MPC for…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Ramij Raja Hossain , Ratnesh Kumar

Stability of power networks is an increasingly important topic because of the high penetration of renewable distributed generation units. This requires the development of advanced (typically model-based) techniques for the analysis and…

Systems and Control · Computer Science 2018-09-14 T. W. Stegink , C. De Persis , A. J. van der Schaft

Interconnected power grid exhibits oscillatory response after a disturbance in the system. One such type of oscillations, the inter-area oscillations has the oscillation frequency in the range of 0.1 to 1 Hz. The damping of inter-area…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Abilash Thakallapelli , Sukumar Kamalasadan

The paper introduces a simple quantum model to calculate in a general way allowed frequencies and energy levels of the anharmonic oscillator. The theoretical basis of the approach has been introduced in two early papers aimed to infer the…

Quantum Physics · Physics 2011-05-19 Sebastiano Tosto

This paper presents a methodology of controlling the resonance energy exchange in mechanical system consisting of two weakly coupled magnetic pendulums interacting with the magnetic field generated by coils placed underneath. It is shown…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Valery N. Pilipchuk , Krystian Polczyński , Maksymilian Bednarek , Jan Awrejcewicz
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