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Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

Systems and Control · Electrical Eng. & Systems 2024-05-20 H. Grebel

This paper investigates the problem of generation and load settings in a synthetic power grid modeling of high-voltage transmission network, considering both electrical parameters and topology measures. Our previous study indicated that the…

Systems and Control · Computer Science 2017-06-29 Seyyed Hamid Elyas , Zhifang Wang , Robert J. Thomas

With steadily increasing wind turbine penetration, regulatory standards for grid interconnection are evolving to require that wind generation systems ride-through disturbances such as faults and support the grid during such events.…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Patrick S Flannery , Giri Venkataramanan

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

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

Wind integration in power grids is very difficult, essentially because of the uncertain nature of wind speed. Forecasting errors on output from wind turbines may have costly consequences. For instance, power might be bought at highest price…

Optimization and Control · Mathematics 2016-04-28 Luckny Zéphyr , C. Lindsay Anderson

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the combined effects of a prescribed external loading and the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-14 Helen E. Fairclough , Karol Bolbotowski , Linwei He , Andrew Liew , Matthew Gilbert

We analyze how both traditional data center integration and dispatchable load integration affect power grid efficiency. We use detailed network models, parallel optimization solvers, and thousands of renewable generation scenarios to…

Optimization and Control · Mathematics 2016-06-02 Kibaek Kim , Fan Yang , Victor M. Zavala , Andrew A. Chien

We present a hierarchical optimization architecture for large-scale power networks that overcomes limitations of fully centralized and fully decentralized architectures. The architecture leverages principles of multigrid computing schemes,…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Philip Hart , Thomas Jahns , Victor M. Zavala

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

Systems and Control · Computer Science 2018-03-19 Shuai Wang , John Baillieul

This paper studies the generation and transmission expansion co-optimization problem with a high wind power penetration rate in large-scale power grids. In this paper, generation and transmission expansion co-optimization is modeled as a…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Shutang You

Modern society is critically dependent on the services provided by engineered infrastructure networks. When natural disasters (e.g. Hurricane Sandy) occur, the ability of these networks to provide service is often degraded because of…

Optimization and Control · Mathematics 2014-09-17 Emre Yamangil , Russell Bent , Scott Backhaus

Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of…

Optimization and Control · Mathematics 2020-02-24 Alessandro Zocca , Bert Zwart

Cascading failures are one of the main reasons for blackouts in power transmission grids. The topology of a power grid, together with its operative state determine, for the most part, the robustness of the power grid against cascading…

Physics and Society · Physics 2015-06-18 Yakup Koç , Martijn Warnier , Piet Van Mieghem , Robert E. Kooij , Frances M. T. Brazier

Federated learning (FL) necessitates that edge devices conduct local training and communicate with a parameter server, resulting in significant energy consumption. A key challenge in practical FL systems is the rapid depletion of…

Machine Learning · Computer Science 2025-06-24 Kai Zhang , Xuanyu Cao , Khaled B. Letaief

Our nation's infrastructure for generating, transmitting, and distributing electricity - "The Grid" - is a relic based in many respects on century-old technology. It consists of expensive, centralized generation via large plants, and a…

Computers and Society · Computer Science 2020-08-04 Randal E. Bryant , Randy H. Katz , Chase Hensel , Erwin P. Gianchandani

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

One of the most important challenges in the integration of renewable energy sources into the power grid lies in their `intermittent' nature. The power output of sources like wind and solar varies with time and location due to factors that…

Systems and Control · Computer Science 2011-10-21 Yashodhan Kanoria , Andrea Montanari , David Tse , Baosen Zhang

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

Power grids must modernize to meet climate goals while maintaining reliable and stable operating conditions. Yet progress is hindered by a limited understanding of the stochastic processes underlying grid frequency and phase-angle…

Physics and Society · Physics 2026-04-06 Alessandro Lonardi , Jacques M. Maritz , Leonardo Rydin Gorjão , Christian Beck