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This paper analyzes how power injections affect frequency quality in power systems. We first derive a general expression linking active and reactive power injections at buses to the system's frequency. This formulation explicitly considers…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Angel Vaca , Federico Milano

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

Optimization and Control · Mathematics 2019-10-10 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

Machine Learning · Computer Science 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

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

Phase transitions not allowed in equilibrium steady states may happen however at the fluctuating level. We observe for the first time this striking and general phenomenon measuring current fluctuations in an isolated diffusive system. While…

Statistical Mechanics · Physics 2011-10-31 Pablo I. Hurtado , Pedro L. Garrido

The transient stability of power systems and synchronization of non-uniform Kuramoto oscillators are closely related problems. In this paper, we develop a novel regional stability analysis framework based on the proposed region-parametrized…

Systems and Control · Computer Science 2018-04-06 Lijun Zhu , David J. Hill

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

The increase of electric demand and the progressive integration of renewable sources threatens the stability of the power grid. To solve this issue, several methods have been proposed to control the demand side instead of increasing the…

Systems and Control · Computer Science 2018-05-22 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet

Neural synchronization is believed to be critical for many brain functions. It frequently exhibits temporal variability, but it is not known if this variability has a specific temporal patterning. This study explores these…

Neurons and Cognition · Quantitative Biology 2013-03-11 Sungwoo Ahn , Leonid L. Rubchinsky

The energy transition towards an increased supply of renewable energy raises concerns that existing electricity grids, built to connect few centralized large power plants with consumers, may become more difficult to control and stabilized…

Chaotic Dynamics · Physics 2016-12-23 S. Kettemann

Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond analyses that appeal only to a network's automorphism group,…

Dynamical Systems · Mathematics 2020-12-14 J. Emenheiser , A. Salova , J. Snyder , J. P. Crutchfield , R. M. D'Souza

We present a new stochastic approach to describe and remodel the conversion process of a wind farm at a sampling frequency of 1Hz. When conditioning on various wind direction sectors, the dynamics of the conversion process appear as a…

Data Analysis, Statistics and Probability · Physics 2015-09-11 Patrick Milan , Matthias Wächter , Joachim Peinke

Voltage fluctuations are common disturbances in power grids. Initially, it is necessary to selectively identify individual sources of voltage fluctuations to take actions to minimize the effects of voltage fluctuations. Selective…

Signal Processing · Electrical Eng. & Systems 2023-06-16 Piotr Kuwałek

Forced oscillation (FO) is a significant concern threating the power system stability. Its mechanisms are mostly studied via linear models. However, FO amplitude is increasing, e.g., Nordic and Western American FOs, which can stimulate…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Yichen Zhou , Jianwei Wu

A reliable supply with electric power is vital for our society. Transmission line failures are among the biggest threats for power grid stability as they may lead to a splitting of the grid into mutual asynchronous fragments. New conceptual…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Maurizio Titz , Franz Kaiser , Johannes Kruse , Dirk Witthaut

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

Current fluctuations play an important role in non-equilibrium statistical mechanics, and are a key object of interest in both theoretical studies and in practical applications. So far, most of the studies were devoted to the fluctuations…

Statistical Mechanics · Physics 2021-06-01 Bertrand Lacroix-A-Chez-Toine , Oren Raz

Prior research has shown that autocorrelation and variance in voltage measurements tend to increase as power systems approach instability. This paper seeks to identify the conditions under which these statistical indicators provide reliable…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba

Achieving stable synchronized operation in an alternating current power network is critical to the continuity and reliability of energy delivery. In this paper, we study a dynamic model for synchronization in the proposed power network…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Mark Walth , Amir Sajadi , Marc Carbone , Bri-Mathias Hodge

In this paper, we demonstrate the fragility of decentralized load-side frequency algorithms proposed in [1] against stochastic parametric uncertainty in power network model. The stochastic parametric uncertainty is motivated through the…

Optimization and Control · Mathematics 2017-02-20 Sai Pushpak , Umesh Vaidya
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