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We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

Social and Information Networks · Computer Science 2024-09-16 Rakib Hassan Pran

Motivated by the scalability problem in large networks, we study stability of a network of infinitely many finite-dimensional subsystems. We develop a so-called relaxed small-gain theorem for input-to-state stability (ISS) with respect to a…

Dynamical Systems · Mathematics 2020-11-24 Navid Noroozi , Andrii Mironchenko , Fabian R. Wirth

This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local…

Systems and Control · Computer Science 2013-06-26 Shan Ma , Junlin Xiong , Valery A. Ugrinovskii , Ian R. Petersen

Frequency fluctuations in power grids, caused by unpredictable renewable energy sources, consumer behavior and trading, need to be balanced to ensure stable grid operation. Standard smart grid solutions to mitigate large frequency…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Benjamin Schäfer , Dirk Witthaut , Marc Timme

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

The synchronization of power generators is an important condition for the proper functioning of a power system, in which the fluctuations in frequency and the phase angle differences between the generators are sufficiently small when…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , André C. M. Ran , Jan H. van Schuppen , Chenghui Zhang

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

Machine Learning · Computer Science 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

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

A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability.…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

the stability criterion is constructed for open quantum systems which govern by quantum stochastic differential equations (QSDE) both for quantum observable flow and the stochastic density operator. We derive stability criteria (local,…

Quantum Physics · Physics 2009-07-21 Javad Sharifi , Hamidreza Momeni

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

During the last decades, significant advances have been made in the area of power system stability and control. Nevertheless, when this analysis is carried out by means of decentralized conditions in a general network, it has been based on…

Optimization and Control · Mathematics 2018-09-27 Chrysovalantis Spanias , Ioannis Lestas

The input/output stability of an interconnected system composed of an ordinary differential equation and a damped string equation is studied. Issued from the literature on time-delay systems, an exact stability result is firstly derived…

Optimization and Control · Mathematics 2018-09-24 Matthieu Barreau , Frédéric Gouaisbaut , Alexandre Seuret , Rifat Sipahi

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

Optimization and Control · Mathematics 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

Large-scale integration of renewables in power systems gives rise to new challenges for keeping synchronization and frequency stability in volatile and uncertain power flow states. To ensure the safety of operation, the system must maintain…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Chao Duan , Pratyush Chakraborty , Takashi Nishikawa , Adilson E. Motter

The stability of multi-vendor, multi-terminal HVDC systems can be analyzed in frequency domain by black-box impedance models using the generalized Nyquist stability criterion. Based on the impedance stability analysis, a multi-level…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Yicheng Liao , Heng Wu , Xiongfei Wang , Mario Ndreko , Robert Dimitrovski , Wilhelm Winter

The sampling rate of input and output signals is known to play a critical role in the identification and control of dynamical systems. For slow-sampled continuous-time systems that do not satisfy the Nyquist-Shannon sampling condition for…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Rodrigo A. González , Max van Haren , Tom Oomen , Cristian R. Rojas

We uncover a local order parameter for measurement-induced phase transitions: the average entropy of a single reference qubit initially entangled with the system. Using this order parameter, we identify scalable probes of…

Statistical Mechanics · Physics 2020-08-19 Michael J. Gullans , David A. Huse

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann