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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

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. The upper bound on the error of oscillators from the center of the neighborhood is derived. Then the performance of an adaptive…

系统与控制 · 计算机科学 2015-11-20 Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi , Tara Javidi

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. We derive an upper bound on the norm of the error of network states from its average states, which it achieves in finite time.…

系统与控制 · 计算机科学 2016-07-25 Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi , Tara Javidi

We augment existing generator-side primary frequency control with load-side control that are local, ubiquitous, and continuous. The mechanisms on both the generator and the load sides are decentralized in that their control decisions are…

系统与控制 · 计算机科学 2014-03-25 Changhong Zhao , Steven Low

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

最优化与控制 · 数学 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

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…

最优化与控制 · 数学 2022-03-24 Ali Tayyebi , Florian Dörfler

In this project we evaluate a framework for synchronization of mixed machine-converter power grids. Synchronous machines are assumed to be actuated by mechanical torque injections, while the converters by DC-side current injections. As this…

系统与控制 · 电气工程与系统科学 2024-02-01 Aidar Zhetessov

This paper studies the problem of decentralized measurement feedback stabilization of nonlinear interconnected systems. As a natural extension of the recent development on control vector Lyapunov functions, the notion of output control…

系统与控制 · 计算机科学 2013-10-29 Dabo Xu , Valery Ugrinovskii

We propose a technique for the design and analysis of decentralized adaptation algorithms in interconnected dynamical systems. Our technique does not require Lyapunov stability of the target dynamics and allows nonlinearly parameterized…

最优化与控制 · 数学 2007-05-23 Ivan Tyukin , Cees van Leeuwen

Determining conditions on the coupling strength for the synchronization in networks of interconnected oscillators is a challenging problem in nonlinear dynamics. While sophisticated mathematical methods have been used to derive conditions,…

系统与控制 · 电气工程与系统科学 2026-04-21 Sanjeev Kumar Pandey , Shaunak Sen , Indra Narayan Kar

Electrical power conversions are common in a large variety of engineering applications. With reference to AC/DC and DC/AC power conversions, a strong research interest resides in multilevel converters, thanks to the many advantages they…

系统与控制 · 电气工程与系统科学 2024-07-31 Davide Tebaldi , Roberto Zanasi

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

系统与控制 · 电气工程与系统科学 2025-03-25 Trager Joswig-Jones , Baosen Zhang

Passivity-based approaches have been suggested as a solution to the problem of decentralised control design in many multi-agent network control problems due to the plug- and-play functionality they provide. However, it is not clear if these…

最优化与控制 · 数学 2023-05-17 Liam Hallinan , Jeremy D. Watson , Ioannis Lestas

In this paper, we analyse the behaviour of a buck converter network that contains arbitrary, up to mild regularity assumptions, loads. Our analysis of the network begins with the study of the current dynamics; we propose a novel Lyapunov…

系统与控制 · 电气工程与系统科学 2021-12-28 Pablo R. Baldivieso-Monasterios , Mahdieh Sadabadi , George C. Konstantopoulos

This paper gives sufficient conditions for having complete synchronization of oscillators in connected undirected networks. The considered oscillators are not necessarily identical and the synchronization terms can be nonlinear. An…

动力系统 · 数学 2011-10-24 Sébastien Orange , Nathalie Verdière

A novel power consensus algorithm for DC microgrids is proposed and analyzed. DC microgrids are networks composed of DC sources, loads, and interconnecting lines. They are represented by differential-algebraic equations connected over an…

最优化与控制 · 数学 2026-01-13 Claudio De Persis , Erieke Weitenberg , Florian Dorfler

We estimate the lock-in domain of the origin of a current control system which is used in common DC/AC inverter designs. The system is a cascade connection of a 4-dimensional linear system (current controller, CC) followed by a…

最优化与控制 · 数学 2026-02-03 Anton Ponomarev , Lutz Gröll , Veit Hagenmeyer

This paper presents a decentralized controller for sharing primary AC frequency control reserves through a multi-terminal HVDC grid. By using Lyapunov arguments, the proposed controller is shown to stabilize the equilibrium of the…

最优化与控制 · 数学 2015-12-15 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

The paper describes a novel method for studying the stability of nonautonomous dynamical systems. This method based on the flow and divergence of the vector field with coupling to the method of Lyapunov functions. The necessary and…

系统与控制 · 电气工程与系统科学 2020-03-31 Igor Furtat

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

最优化与控制 · 数学 2020-03-11 John W. Simpson-Porco
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