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The smart grid concept has emerged to address the existing problems in the traditional electric grid, which has been functioning for more than a hundred years. The most crucial difference between traditional grids and smart grids is the…

Discrete Mathematics · Computer Science 2021-07-28 Majid Forghani-elahabad

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

Systems and Control · Computer Science 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

The global transition from traditional power plants to renewable energy sources introduces new challenges in grid stability, primarily because inverter-based technologies provide insufficient inertia. To address this, we introduce an…

Physics and Society · Physics 2026-01-06 Sangjoon Park , Hoyun Choi , Yongsun Lee , Seungchan Jo , Jürgen Kurths , B. Kahng

To mitigate climate change, the share of renewable needs to be increased. Renewable energies introduce new challenges to power grids due to decentralization, reduced inertia and volatility in production. The operation of sustainable power…

Machine Learning · Computer Science 2023-01-25 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

We study a class of matrices with a rank-1 interconnection structure, and derive a simple necessary and sufficient condition for diagonal stability. The underlying Lyapunov function is used to provide sufficient conditions for diagonal…

Optimization and Control · Mathematics 2021-05-21 John W. Simpson-Porco , Nima Monshizadeh

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

Optimization and Control · Mathematics 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

During major power system disturbances, when multiple component outages occur in rapid succession, it becomes crucial to quickly identify the transmission interconnections that have limited power transfer capability. Understanding the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

We examine the stability of a 1D electrical transmission line in the simultaneous presence of PT-symmetry and fractionality. The array contains a binary gain/loss distribution $\gamma_{n}$ and a fractional Laplacian characterized by a…

Pattern Formation and Solitons · Physics 2023-08-09 Mario I. Molina

The increasing transmission capacity needs in a future energy system raise the question how associated costs should be allocated to the users of a strengthened power grid. In contrast to straightforward oversimplified methods, a flow…

This paper proposes a novel transient stability assessment tool for networked microgrids based on neural Lyapunov methods. Assessing transient stability is formulated as a problem of estimating the dynamic security region of networked…

Systems and Control · Electrical Eng. & Systems 2020-12-03 Tong Huang , Sicun Gao , Le Xie

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

Networked power grid systems are susceptible to a phenomenon known as Coherent Swing Instability (CSI), in which a subset of machines in the grid lose synchrony with the rest of the network. We develop network level evaluation metrics to…

Physics and Society · Physics 2019-05-24 Daniel Dylewsky , Xiu Yang , Alexandre Tartakovsky , J. Nathan Kutz

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

Synchronisation of parallel grid-forming inverters is crucial for stable operation of future power systems. This includes accurate and robust reactive power sharing under realistic operating conditions such as impedance mismatch and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 E. D. Gomez Anccas , E. A. MacPherson , J. Tegeler , K. Röbert , M. Fischer , C. A. Hans , D. Schulz

We introduce a new microscopic model of the outages in transmission power grids. This model accounts for the automatic response of the grid to load fluctuations that take place on the scale of minutes, when the optimum power flow…

Physics and Society · Physics 2015-03-17 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

Synchronization is essential for proper functioning of the power grid. We investigate the synchronous state and its stability for a network with a cyclic topology and with the evolution of the states satisfying the swing equations. We…

Chaotic Dynamics · Physics 2017-09-13 Kaihua Xi , Johan. L. A. Dubbeldam , Haixiang Lin

Integration of variable energy resources -- e.g., solar, wind, and hydro -- and end-use electrification increase modern energy systems' weather-dependence. Identifying critical infrastructure constraining the power grid's ability to meet…

Physics and Society · Physics 2026-03-27 Katerina Tang , M. Vivienne Liu , C. Lindsay Anderson , Vivek Srikrishnan

We study the evolution of fast blackout cascades in the model of the Polish (transmission) power grid (2700 nodes and 3504 transmission lines). The cascade is initiated by a sufficiently severe initial contingency tripping. It propagates…

Physics and Society · Physics 2011-10-07 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

High penetration of distributed generators (DG) in modern power grids creates angle, voltage, and frequency instabilities. Most of the work in the literature has focused on small-signal stability analysis of single grid-connected inverters…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Ramkrishna Mishan

This paper provides a description of the approach and methodology I used in winning the European Union Big Data Technologies Horizon Prize on data-driven prediction of electricity grid traffic. The methodology relies on identifying typical…

Applications · Statistics 2019-02-14 Jose M. G. Vilar