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Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

Adaptation and Self-Organizing Systems · Physics 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

The integration of renewable energy sources in the course of the energy transition is accompanied by grid decentralization and fluctuating power feed-in characteristics. This raises new challenges for power system stability and design. We…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Katrin Schmietendorf , Joachim Peinke , Rudolf Friedrich , Oliver Kamps

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

Stability guarantees are critical for cycle-by-cycle controlled dc-dc converters in consumer electronics and energy storage systems. Traditional stability analysis on cycle-by-cycle dc-dc converters is incomplete because the inductor…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Xiaofan Cui , Al-Thaddeus Avestruz

We analyse the properties of the synchronisation transition in a many-body system consisting of quantum van der Pol oscillators with all-to-all coupling using a self-consistent mean-field method. We find that the synchronised state, which…

Quantum Physics · Physics 2018-11-14 C. Davis-Tilley , C. K. Teoh , A. D. Armour

The magnetoquasistatic simulation of large power converters, in particular transformers, requires efficient models for their foils windings by means of homogenization techniques. In this article, the classical foil conductor model is…

Numerical Analysis · Mathematics 2026-01-06 Elias Paakkunainen , Jonas Bundschuh , Idoia Cortes Garcia , Herbert De Gersem , Sebastian Schöps

As the integration of wind power accelerates, wind power plants (WPPs) are expected to play a crucial role in ensuring stability in future power grids. This paper examines the nonlinear stability boundary of a multi-converter system in a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Guangya Yang , Łukasz Kocewiak

This letter presents a shifted passivity analysis of the single-machine infinite-bus system in the stationary ($\alpha\beta$) reference frame. We study the attractivity of a periodic synchronous steady state with constant rotor frequency…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Xinyuan Jiang

In this article, we consider a dynamic model of a three-phase power system including nonlinear generator dynamics, transmission line dynamics, and static nonlinear loads. We define a synchronous steady-state behavior which corresponds to…

Optimization and Control · Mathematics 2018-11-29 Dominic Groß , Catalin Arghir , Florian Dörfler

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

In Part I of this paper a method for the Harmonic Stability Assessment (HSA) of power systems with a high share of Converter-Interfaced Distributed Energy Resources (CIDERs) was proposed. Specifically, the Harmonic State-Space (HSS) model…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

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

Modern power system is undergoing a paradigm shift from the synchronous generators-based system to the power electronics converters-dominated system. With the high penetration of converters, serious stability problems are provoked,…

Applied Physics · Physics 2022-03-02 Haoxiang Zong , Chen Zhang , Xu Cai , Marta Molinas

Declines in cost and concerns about the environmental impact of traditional generation have boosted the penetration of renewables and non-conventional distributed energy resources into the power grid. The intermittent availability of these…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Priyank Srivastava , Patricia Hidalgo-Gonzalez , Jorge Cortes

This paper investigates the exponential stability of abstract mean field systems in their synchronized state. We analyze stability by studying the linearized system and demonstrate the existence of an exponentially stable invariant…

Dynamical Systems · Mathematics 2024-09-10 Walid Oukil

We present a computational framework to investigate steady state distributions and perform stability analysis for random ordinary differential equations driven by parameter uncertainty. Using the nonlinear Rosenzweig McArthur predator prey…

Dynamical Systems · Mathematics 2026-03-05 Wolfgang Hoegele

Motivated by recent interest for multi-agent systems and smart power grid architectures, we discuss the synchronization problem for the network-reduced model of a power system with non-trivial transfer conductances. Our key insight is to…

Optimization and Control · Mathematics 2011-06-28 Florian Dorfler , Francesco Bullo

This paper explores the stability of nonsynchronous hybrid ac/dc power grids under the grid-forming hybrid angle control strategy. We formulate dynamical models for the ac grids and transmission lines, interlinking converters, and dc…

Optimization and Control · Mathematics 2022-03-24 Ali Tayyebi , Florian Dörfler

Distributed cooperative droop control consisting of the primary decentralized droop control and the {secondary} distributed correction control is studied in this paper, which aims to achieve an exact current sharing between generators,…

Optimization and Control · Mathematics 2016-05-17 Ji Xiang , Yu Wang , Yanjun Li , Wei Wei

Single-loop elastic rings can be folded into multi-loop equilibrium configurations. In this paper, the stability of several such multi-loop states which are either circular or straight are investigated analytically and illustrated by…

Applied Physics · Physics 2023-04-06 Sophie Leanza , Ruike Renee Zhao , John W. Hutchinson
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