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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

A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

For large-scale power networks, the failure of particular transmission lines can offload power to other lines and cause self-protection trips to activate, instigating a cascade of line failures. In extreme cases, this can bring down the…

Physics and Society · Physics 2018-06-08 Charles Matthews , Bradly Stadie , Jonathan Weare , Mihai Anitescu , Christopher Demarco

Mid-term and long-term electric energy demand prediction is essential for the planning and operations of the smart grid system. Mainly in countries where the power system operates in a deregulated environment. Traditional forecasting models…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Yuting Ding , Di Wu , Yi He , Xin Luo , Song Deng

We tackle the network topology inference problem by utilizing Laplacian constrained Gaussian graphical models, which recast the task as estimating a precision matrix in the form of a graph Laplacian. Recent research \cite{ying2020nonconvex}…

Machine Learning · Computer Science 2023-09-06 Jiaxi Ying , Xi Han , Rui Zhou , Xiwen Wang , Hing Cheung So

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…

Optimization and Control · Mathematics 2026-01-13 Claudio De Persis , Erieke Weitenberg , Florian Dorfler

Long-range interactions play a central role in electron transport. At the same time, they present a challenge for direct computer simulations, since sufficiently large portions of the bath have to be included in the computation to…

Computational Physics · Physics 2021-09-29 Weiqi Chu , Xiantao Li

In this paper we study the problem of model reduction of linear network systems. We aim at computing a reduced order stable approximation of the network with the same topology and optimal w.r.t. H2 norm error approximation. Our approach is…

Optimization and Control · Mathematics 2019-05-21 I. Necoara , T. C. Ionescu

Power grids, road maps, and river streams are examples of infrastructural networks which are highly vulnerable to external perturbations. An abrupt local change of load (voltage, traffic density, or water level) might propagate in a…

Physics and Society · Physics 2014-05-23 Enys Mones , Nuno A. M. Araújo , Tamás Vicsek , Hans J. Herrmann

In this study, we introduce a novel family of tensor networks, termed constrained matrix product states (MPS), designed to incorporate exactly arbitrary discrete linear constraints, including inequalities, into sparse block structures.…

Numerical Analysis · Mathematics 2025-07-10 Javier Lopez-Piqueres , Jing Chen

The emergence of distributed energy resources has led to new challenges in the operation and planning of power networks. Of particular significance is the introduction of a new layer of complexity that manifests in the form of new…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Aaqib Peerzada , Miroslav Begovic , Wesam Rohouma , Robert S. Balog

We model power grids transporting electricity generated by intermittent renewable sources as complex networks, where line failures can emerge indirectly by noisy power input at the nodes. By combining concepts from statistical physics and…

Physics and Society · Physics 2018-06-27 Tommaso Nesti , Alessandro Zocca , Bert Zwart

Powering radio access networks using renewables, such as wind and solar power, promises dramatic reduction in the network operation cost and the network carbon footprints. However, the spatial variation of the energy field can lead to…

Information Theory · Computer Science 2016-11-18 Kaibin Huang , Marios Kountouris , Victor O. K. Li

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

Systems and Control · Computer Science 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

Network data are becoming increasingly available, and so there is a need to develop suitable methodology for statistical analysis. Networks can be represented as graph Laplacian matrices, which are a type of manifold-valued data. Our main…

Methodology · Statistics 2020-10-02 Katie E. Severn , Ian L. Dryden , Simon P. Preston

With the increasing penetration of renewable energy resources, power systems face new challenges in balancing power supply and demand and maintaining the nominal frequency. This paper studies load control to handle these challenges. In…

Optimization and Control · Mathematics 2020-04-17 Xin Chen , Changhong Zhao , Na Li

This paper studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to perturbations of bounded energy satisfying specific sparsity…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Shenyu Liu , Sonia Martinez , Jorge Cortes

Nonlinear convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP), Convex Quadratic (QC), and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. Thus far,…

Optimization and Control · Mathematics 2015-11-13 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

Coding schemes with extremely low computational complexity are required for particular applications, such as wireless body area networks, in which case both very high data accuracy and very low power-consumption are required features. In…

Discrete Mathematics · Computer Science 2016-06-06 Eimear Byrne , Akiko Manada

This work develops a novel power control framework for energy-efficient power control in wireless networks. The proposed method is a new branch-and-bound procedure based on problem-specific bounds for energy-efficiency maximization that…

Information Theory · Computer Science 2020-07-13 Bho Matthiesen , Alessio Zappone , Karl-L. Besser , Eduard A. Jorswieck , Merouane Debbah