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Related papers: Stability of DC Networks with Generic Load Models

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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…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Dahlia Saba , Dominic Groß

Resilience characterizes a system's ability to retain its original function when perturbations happen. In the past years our attention mainly focused on small-scale resilience, yet our understanding of resilience in large-scale network…

Adaptation and Self-Organizing Systems · Physics 2020-10-13 Mengbang Zou , Luca Zanotti Fragonara , Weisi Guo

Cascading failures are the typical reasons of black- outs in power grids. The grid topology plays an important role in determining the dynamics of cascading failures in power grids. Measures for vulnerability analysis are crucial to assure…

Physics and Society · Physics 2013-12-24 Yakup Koç , Martijn Warnier , Robert E. Kooij , Frances M. T. Brazier

We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in the absence of…

Numerical Analysis · Mathematics 2016-05-11 Herbert Egger , Thomas Kugler

The stability is analyzed of the magnetic junction collinear configurations against small fluctuations under amplitude-modulated current with CPP mode. High spin injection is assumed. Under parametric resonance conditions, with the…

Materials Science · Physics 2015-05-27 E. M. Epshtein , P. E. Zilberman

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

A networked output feedback loop subject to packetized transmissions of the output signal is considered. Based on the small gain theorem, an easy-to-use stability criterion covering two important cases is presented. In the first case a…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Martin Steinberger , Martin Horn

The series-paralleling technique of dc-dc converters is utilized in various domains of electrical engineering for improved power conversion. Previous studies have proposed and classified the control schemes for the series-paralleled…

Systems and Control · Electrical Eng. & Systems 2021-01-29 Yuma Murakawa , Takashi Hikihara

Grid-forming inverters control the power transfer between the AC and DC sides of an electrical grid while maintaining the frequency and voltage of the AC side. This paper focuses on ensuring large-signal stability of an electrical grid with…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Jared Miller , Maitraya Avadhut Desai , Xiuqiang He , Roy S. Smith , Gabriela Hug

We develop upper bounds for line failure probabilities in power grids, under the DC approximation and assuming Gaussian noise for the power injections. Our upper bounds are explicit, and lead to characterization of safe operational capacity…

Systems and Control · Computer Science 2016-11-09 Tommaso Nesti , Alessandro Zocca , Bert Zwart

Understanding how neural networks arrive at their predictions is essential for debugging, auditing, and deployment. Mechanistic interpretability pursues this goal by identifying circuits - minimal subnetworks responsible for specific…

Artificial Intelligence · Computer Science 2026-03-03 Alaa Anani , Tobias Lorenz , Bernt Schiele , Mario Fritz , Jonas Fischer

In this paper we address the question of robustness of critical bit rates for the stabilization of networked control systems over digital communication channels. For a deterministic nonlinear system, the smallest bit rate above which…

Optimization and Control · Mathematics 2016-10-25 Adriano Da Silva , Christoph Kawan

The analysis of dissipatively coupled oscillators is challenging and highly relevant in power grids. Standard mathematical methods are not applicable, due to the lack of network symmetry induced by dissipative couplings. Here we demonstrate…

Adaptation and Self-Organizing Systems · Physics 2022-09-07 Robin Delabays , Saber Jafarpour , Francesco Bullo

In DC microgrids (DCMGs), DC-bus signaling based control strategy is extensively used for power management, where mode switching plays a crucial role in achieving multi-source coordination. However, few studies have noticed the impact of…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Shanshan Jiang , Zelin Sun , Jiankun Zhang , Hua Geng

The constantly increasing number of power generation devices based on renewables is calling for a transition from the centralized control of electrical distribution grids to a distributed control scenario. In this context, distributed…

Other Computer Science · Computer Science 2013-11-28 Riccardo Bonetto , Stefano Tomasin , Michele Rossi

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

For networked systems, the control law is typically subject to network flaws such as delays and packet dropouts. Hence, the time in between updates of the control law varies unexpectedly. Here, we present a stability theorem for nonlinear…

Optimization and Control · Mathematics 2012-08-30 Lars Grüne , Jürgen Pannek , Karl Worthmann

Comparable to the traditional notion of stability in system dynamics, resilience is typically measured in a way that assesses the quality of a system's response, for example the speed of its recovery. We present a broadly applicable…

Physics and Society · Physics 2023-06-26 Samuel Bien , Paul Schultz , Jobst Heitzig , Jonathan F. Donges

We introduce a multiscale measure of network instability based on the joint use of Detrended Cross-Correlation Analysis (DCCA) and Minimum Spanning Tree (MST) filtering. The proposed metric, the Elastic Detrended Cross-Correlation Ratio…

Physics and Society · Physics 2026-02-12 Jose De Leon Miranda , Marina Dolfin , George Kapetanios , Leone Leonida

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft
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