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This industry-oriented paper originates from the observation that current frequency quality metrics utilized by transmission system operators (TSOs) fail to fully capture the dynamic behavior of the grid frequency. Motivated by this gap,…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Taulant Kerci , Federico Milano

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

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

The rapid rise in inverter-based renewable resources has heightened concerns over subsynchronous resonance and oscillations, thereby challenging grid stability. This paper reviews approaches to identify and mitigate these issues, focusing…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Shuvangkar Chandra Das , Lokesh Saravana , Le Minh Vu , Manh Bui , Tuyen Vu , Jianhua Zhang , Thomas Ortmeyer

Low-order frequency response models for power systems have a decades-long history in optimization and control problems such as unit commitment, economic dispatch, and wide-area control. With a few exceptions, these models are built upon the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Marena Trujillo , Amir Sajadi , Bri-Mathias Hodge

Windstorms significantly impact the UK, causing extensive damage to property, disrupting society, and potentially resulting in loss of life. Accurate modelling and understanding of such events are essential for effective risk assessment and…

Atmospheric and Oceanic Physics · Physics 2024-09-18 Etron Yee Chun Tsoi

Renewable energy has attracted significant attention over the last decade, conceivably due to its environmental benefits and the recent drops in the development and deployment cost of the technology. The increase in renewable generation,…

Systems and Control · Computer Science 2016-10-25 Alireza Majzoobi , Amin Khodaei , Shay Bahramirad , Math H J Bollen

The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a…

Optimization and Control · Mathematics 2019-05-24 Tommaso Nesti , Jayakrishnan Nair , Bert Zwart

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

Chaotic Dynamics · Physics 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

The goal of this paper is to shed light on the statistical economies of scale achievable from sharing of storage between renewable generators. We conduct an extensive study using real world wind data from a grid of equispaced wind…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Vivek Deulkar , Jayakrishnan Nair , Ankur A. Kulkarni

Uncertainty levels in forecasting of renewable generation and demand are known to affect the amount of reserve required to operate the power grid with a given level of reliability. In this paper, we quantify the effects on the system…

Signal Processing · Electrical Eng. & Systems 2018-06-18 Yihui Zuo , Fabrizio Sossan , Mokhtar Bozorg , Mario Paolone

Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

Dynamical Systems · Mathematics 2018-07-11 Christian Kuehn , Sebastian Throm

This paper proposed an approach to identify the change of inertia distribution in high renewable power systems. Using the footprints of electromechanical wave propagation at the distribution level, this approach provides a new and…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Shutang You

The variability and intermittency of renewable energy sources pose several challenges for power systems operations, including energy curtailment and price volatility. In power systems with considerable renewable sources, co-variability in…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Elnaz Kabir , Vivek Srikrishnan , M. Vivienne Liu , Scott Steinschneider , C. Lindsay Anderson

Multistability is a common phenomenon which naturally occurs in complex networks. If coexisting attractors are numerous and their basins of attraction are complexly interwoven, the long-term response to a perturbation can be highly…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Lukas Halekotte , Anna Vanselow , Ulrike Feudel

The energy transition introduces more volatile energy sources into the power grids. In this context, power transfer between different synchronous areas through High Voltage Direct Current (HVDC) links becomes increasingly important. Such…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Sebastian Pütz , Benjamin Schäfer , Dirk Witthaut , Johannes Kruse

The Intergovernmental Panel on Climate Change proposes different mitigation strategies to achieve the net emissions reductions that would be required to follow a pathway that limits global warming to 1.5{\deg}C with no or limited overshoot.…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Jonathan Dumas

Diffusion models exhibit impressive generative capabilities but are significantly impacted by exposure bias. In this paper, we make a key observation: the energy of predicted noisy samples in the reverse process continuously declines…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Meng Yu , Kun Zhan
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