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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

Interference minimization problem in wireless sensor and ad-hoc networks is considered. That is to assign a transmission power to each node of a network such that the network is connected and at the same time the maximum of accumulated…

Data Structures and Algorithms · Computer Science 2011-07-22 Hakob Aslanyan

In this paper we deal with the notion of the effective impedance of AC networks consisting of resistances, coils and capacitors. Mathematically such a network is a locally finite graph whose edges are endowed with complex-valued weights…

Combinatorics · Mathematics 2021-03-05 Anna Muranova

Conditions for input-output stability of barrier-based model predictive control of linear systems with linear and convex nonlinear (hard or soft) constraints are established through the construction of integral quadratic constraints (IQCs).…

Systems and Control · Computer Science 2019-03-12 Panagiotis Petsagkourakis , William P. Heath , Joaquin Carrasco , Constantinos Theodoropoulos

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

Joint admission control and power minimization are critical challenges in intelligent reflecting surface (IRS)-assisted networks. Traditional methods often rely on \( l_1 \)-norm approximations and alternating optimization (AO) techniques,…

Signal Processing · Electrical Eng. & Systems 2025-11-21 Weijie Xiong , Jingran Lin , Zhiling Xiao , Qiang Li , Yuhan Zhang

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

The power and communication networks are highly interdependent and form a part of the critical infrastructure of a country. Similarly, dependencies exist within the networks itself. It is essential to have a model which captures these…

Networking and Internet Architecture · Computer Science 2017-06-01 Joydeep Banerjee , Kaustav Basu , Arunabha Sen

Networks constructed out of resistors, inductors, capacitors and transformers form a compelling subclass of simple models. Models constructed out of these basic elements are frequently used to explain phenomena in large-scale applications,…

Optimization and Control · Mathematics 2024-10-28 Richard Pates

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

The article explores the ion flux response of a capacitor configuration to an alternating voltage. The model system comprises a symmetric binary electrolyte confined between plan-parallel capacitor plates. The AC response is investigated…

Chemical Physics · Physics 2018-10-03 Sonja Babel , Michael Eikerling , Hartmut Löwen

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

Systems and Control · Computer Science 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

Reliable integration and operation of renewable distributed energy resources requires accurate distribution grid models. However, obtaining precise models is often prohibitively expensive, given their large scale and the ongoing nature of…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Jean-Sébastien Brouillon , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-trecate

Accurate knowledge of acoustic surface admittance or impedance is essential for reliable wave-based simulations, yet its in situ estimation remains challenging due to noise, model inaccuracies, and restrictive assumptions of conventional…

Machine Learning · Computer Science 2026-04-10 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

This paper proposes a wideband composite sequence impedance model (WCSIM)-based analysis method to evaluate the interactions in power-electronic-based power systems subjected to unbalanced grid faults or with unbalanced loads. The…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Zhi Liu , Chengxi Liu , Jiangbei Han , Rui Qiu , Mingyuan Liu

A method is presented to analyze the stability of feedback systems with neural network controllers. Two stability theorems are given to prove asymptotic stability and to compute an ellipsoidal inner-approximation to the region of attraction…

Systems and Control · Electrical Eng. & Systems 2021-01-28 He Yin , Peter Seiler , Murat Arcak

This paper presents novel methods for parameter identification in electrical grids with small numbers of spatially distributed measuring devices, which is an issue for distribution system operators managing aged and not properly mapped…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Claudio Cañizares , Thomas Leibfried , Kankar Bhattacharya

Electrical Impedance Tomography can be cost-effective, portable, non-invasive imaging technique. It has preclinical and a few of them already proven industrial applications. This technique can only recover images of low spatial and contrast…

Instrumentation and Detectors · Physics 2023-04-17 Vaishali Sharma , Mayank Goswami