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We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

The majority of dynamical studies in power systems focus on the high voltage transmission grids where models consider large generators interacting with crude aggregations of individual small loads. However, new phenomena have been observed…

Physics and Society · Physics 2015-06-12 Charlie Duclut , Scott Backhaus , Michael Chertkov

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

In this paper, a theoretical foundation for the Quasi Steady-State (QSS) model in power system long-term stability analysis is developed. Sufficient conditions under which the QSS model gives accurate approximations of the long-term…

Systems and Control · Computer Science 2013-11-26 Xiaozhe Wang , Hsiao-Dong Chiang

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable. We present sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

The rising demand of computing power leads to the installation of a large number of Data Centers (DCs). Their Fault-Ride-Through (FRT) behavior and their unique power characteristics, especially for DCs catered to Artificial Intelligence…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Alberto Jimenez-Ruiz , Federico Milano

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Calvin Alvares , Soumitro Banerjee

Rotational inertia is stabilizing the frequency of electric power systems against small and large disturbances, but it is also the cause for oscillations between generators. As more and more conventional generators are replaced by renewable…

Optimization and Control · Mathematics 2017-05-10 Theodor Borsche , Florian Dörfler

The initialization process of a novel power system transient simulation scheme for stability studies is put forward, by further developing a "time-domain harmonic power-flow algorithm". The initialization process is formulated as an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Sheng Lei , Alexander Flueck

The inherent control switching of renewable energy sources (RESs) during intricate transient processes introduces complexity to the dynamic behavior of modern power systems. This paper reveals the dynamic coupling between grid-forming…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Ruiyuan Zeng , Ruisheng Diao , Fangyuan Sun , Wangqianyun Tang , Junjie Li , Baorong Zhou

Quantum chaotic and integrable systems are known to exhibit a characteristic $1/f$ and $1/f^{2}$ noise, respectively, in the power spectrum associated to their spectral fluctuations. A recent work [R. Riser, V. A. Osipov, and E. Kanzieper,…

Quantum Physics · Physics 2019-09-17 A. L. Corps , A. Relaño

Synchronization is an essential element in three-phase ac electric power systems. The large-scale integration of converter-interfaced resources leads to the power grid transformation from voltage-source-dominated to…

Systems and Control · Electrical Eng. & Systems 2023-03-06 Yitong Li , Timothy C. Green , Yunjie Gu

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

The fundamental frequency is one of the parameters that define power quality. Correctly determining this parameter under the conditions that prevail in modern power grids is crucial. Diagnostic purposes often require an efficient estimation…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Antonio Bracale , Pasquale De Falco , Piotr Kuwałek , Grzegorz Wiczyński

In this paper, a new methodology for stability assessment of a smart power system is proposed. The key to this assessment is an index called betweenness index which is based on ideas from complex network theory. The proposed betweenness…

Other Computer Science · Computer Science 2011-03-18 A. B. M. Nasiruzzaman , H. R. Pota

A decentralized stability criterion is derived for a power system with heterogeneous subsystems. A condition for frequency stability and stability of interarea modes is derived using the generalized Nyquist criterion. The resulting scalable…

Systems and Control · Electrical Eng. & Systems 2022-06-03 Joakim Björk , Karl Henrik Johansson

We propose the application of occupation measure theory to the classical problem of transient stability analysis for power systems. This enables the computation of certified inner and outer approximations for the region of attraction of a…

Optimization and Control · Mathematics 2018-11-06 Cedric Josz , Daniel K. Molzahn , Matteo Tacchi , Somayeh Sojoudi