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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…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

Mesoscale and Nanoscale Physics · Physics 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

This paper presents a passivity-based control framework for AC-DC converters supplying non-passive Information Technology rack loads in DC data centers. Unlike conventional cascaded proportional-integral controllers that ensure stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Lizhi Wang , Fei Feng , Ella Chou , Yashen Lin

In this work, we analyze the effect of transmission line dynamics on grid-forming control for inverter-based AC power systems. In particular, we investigate a dispatchable virtual oscillator control (dVOC) strategy that was recently…

Optimization and Control · Mathematics 2019-05-30 Dominic Groß , Marcello Colombino , Jean-Sébastien Brouillon , Florian Dörfler

In network systems, a local perturbation can amplify as it propagates, potentially leading to a large-scale cascading failure. Here we derive a continuous model to advance our understanding of cascading failures in power-grid networks. The…

Physics and Society · Physics 2017-12-18 Yang Yang , Adilson E. Motter

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

Inverter-interfaced microgrids differ from the traditional power systems due to their lack of inertia. Vanishing timescale separation between voltage and frequency dynamics makes it critical that faster-timescale stabilizing control laws…

Optimization and Control · Mathematics 2019-03-26 Soumya Kundu , Sijia Geng , Sai Pushpak Nandanoori , Ian A. Hiskens , Karan Kalsi

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological properties along different hierarchical levels. In this work, we…

Pattern Formation and Solitons · Physics 2023-06-19 Alexandre Benatti , Luciano da Fontoura Costa

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

This paper treats the global stabilization problem of continuous-time switched affine systems that have rank-deficient convex combinations of their dynamic matrices. For these systems, the already known set of attainable equilibrium points…

Optimization and Control · Mathematics 2022-04-15 Lucas N. Egidio , Grace S. Deaecto , Raphaël M. Jungers

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

Secure communication between two nodes in a network depends on reliable key management systems that generate and distribute keys between communicating nodes and a secure routing protocol that establishes a route between them. But due to…

Cryptography and Security · Computer Science 2012-05-14 Kamal Kumar Chauhan , Amit Kumar Singh Sanger

In this paper, we propose a novel four-stage distributed controller for a DC microgrid that achieves power sharing and average voltage regulation for the voltages at actuated and unactuated buses. The controller is presented for a DC…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Albertus Johannes Malan , Pol Jané-Soniera , Felix Strehle , Sören Hohmann

The future electric grid will consist of significant penetration of renewable and distributed generation that is likely to create a homogenous transmission and distribution (T&D) system, requiring tools that can model and robustly simulate…

Systems and Control · Electrical Eng. & Systems 2019-08-06 Amritanshu Pandey , Larry Pileggi

We propose a group membership service for dynamic ad hoc networks. It maintains as long as possible the existing groups and ensures that each group diameter is always smaller than a constant, fixed according to the application using the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-12 Bertrand Ducourthial , Sofiane Khalfallah , Franck Petit

We consider the problem of computing equilibria (steady-states) for droop-controlled, islanded, AC microgrids that are both economic-optimal and dynamically stable. This work is motivated by the observation that classical optimal power flow…

Optimization and Control · Mathematics 2020-02-25 Sungho Shin , Victor M. Zavala

Modern safety-critical energy infrastructures are increasingly operated in a hierarchical and modular control framework which allows for limited data exchange between the modules. In this context, it is important for each module to…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Jean-Baptiste Bouvier , Sai Pushpak Nandanoori , Melkior Ornik , Soumya Kundu
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