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We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

最优化与控制 · 数学 2020-11-12 Taouba Jouini , Florian Dörfler

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

适应与自组织系统 · 物理学 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

This paper demonstrates that the sum and difference of the upper and lower arm voltages are suitable variables for deriving a generalized state-space model of an MMC which settles at a constant equilibrium in steady-state operation, while…

系统与控制 · 计算机科学 2017-06-16 Gilbert Bergna-Diaz , Julian Freytes , Xavier Guillaud , Salvatore D'Arco , Jon Are Suul

Synchronization processes in populations of identical networked oscillators are in the focus of intense studies in physical, biological, technological and social systems. Here we analyze the stability of the synchronization of a network of…

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…

系统与控制 · 电气工程与系统科学 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

This paper proposes decentralized stability conditions for multi-converter systems based on the combination of the small gain theorem and the small phase theorem. Instead of directly computing the closed-loop dynamics, e.g., eigenvalues of…

系统与控制 · 电气工程与系统科学 2024-01-11 Linbin Huang , Dan Wang , Xiongfei Wang , Huanhai Xin , Ping Ju , Karl H. Johansson , Florian Dörfler

This paper proposes a systematic framework to assess the small-signal stability of power systems with high shares of grid-following inverter-based resources (IBRs) under varying controller parameters and operating conditions. Stability…

系统与控制 · 电气工程与系统科学 2026-05-27 Francesco Conte , Fernando Mancilla-David , Federico Silvestro , Samuele Grillo

In this paper, we study phase-amplitude multivariable dynamics in converter-based power systems from a complex-frequency perspective. Complex frequency represents the rate of change of voltage amplitude and phase angle by its real and…

系统与控制 · 电气工程与系统科学 2024-07-03 Xiuqiang He , Verena Häberle , Florian Dörfler

Integration of renewable resources is profoundly reshaping the dynamics of modern power systems. This study shows that the voltage dynamics of power systems with multiple grid-forming (GFM) converters often enjoys a desirable property…

系统与控制 · 电气工程与系统科学 2025-05-21 Zhenyao Li , Shengwen Liao , Qian Zhang , Xuechun Zhang , Deqiang Gan

The increasing use of power electronics converters to integrate renewable energy sources has been subject of concern due to the resonance oscillatory phenomena caused by their interaction with poorly damped AC networks. Early studies are…

系统与控制 · 电气工程与系统科学 2021-11-02 Luis Orellana , Luis Sainz , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

In this article, we investigate small-signal frequency and DC voltage stability of hybrid AC/DC power systems that combine AC and DC transmission, conventional machine- based generation, and converter-interfaced generation. The main…

系统与控制 · 电气工程与系统科学 2025-09-26 Dahlia Saba , Dominic Groß

In this paper, we address the problem of stability and frequency regulation of a recently proposed inverter. In this type of inverter, the DC-side capacitor emulates the inertia of a synchronous generator. First, we remodel the dynamics…

系统与控制 · 计算机科学 2017-10-17 Pooya Monshizadeh , Claudio De Persis , Tjerk Stegink , Nima Monshizadeh , Arjan van der Schaft

We investigate the stability of synchronized states in delay-coupled networks where synchronization takes place in groups of different local dynamics or in cluster states in networks with identical local dynamics. Using a master stability…

混沌动力学 · 物理学 2015-06-04 Thomas Dahms , Judith Lehnert , Eckehard Schöll

The transformer architecture, known for capturing long-range dependencies and intricate patterns, has extended beyond natural language processing. Recently, it has attracted significant attention in quantum information and condensed matter…

量子物理 · 物理学 2025-08-08 Lu Wei , Zhian Jia , Yufeng Wang , Dagomir Kaszlikowski , Haibin Ling

A numerical scheme to study the mixed states in a mesoscopic type-II superconducting cylinder is described. Steady-state configurations and transient behavior of the magnetic vortices for various values of the applied magnetic field H are…

超导电性 · 物理学 2009-11-10 Sangbum Kim , Chia-Ren Hu , Malcolm J. Andrews

We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the…

混沌动力学 · 物理学 2015-06-23 R. Sevilla-Escoboza , J. M. Buldú , A. N. Pisarchik , S. Boccaletti , R. Gutiérrez

This letter presents a comprehensive analysis of the stability phenomenon related to the ability of generators to remain in synchronism when subjected to small or large disturbances, in power systems with both synchronous machines and…

系统与控制 · 电气工程与系统科学 2026-05-20 Régulo E. Ávila-Martínez , Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

Steady state multiplicity can occur in nonlinear systems, and this presents challenges to feedback control. Input multiplicity arises when the same steady state output values can be reached with system inputs at different values. Dynamic…

最优化与控制 · 数学 2022-10-06 Robert J. Lovelett , Yorgos M. Psarellis , Ioannis G. Kevrekidis , Manfred Morari

We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by…

适应与自组织系统 · 物理学 2023-02-24 Per Sebastian Skardal , Sabina Adhikari , Juan G. Restrepo

Harmonic instability occurs frequently in the power electronic converter system. This paper leverages multi-resolution dynamic mode decomposition (MR-DMD) as a data-driven diagnostic tool for the system stability of power electronic…

信号处理 · 电气工程与系统科学 2024-04-16 Rui Kong , Subham Sahoo , Yongjie Liu , Frede Blaabjerg
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