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With the rising demand for solar energy installation, there is a pressing need for utilities to regulate the voltages at the distribution level. In grids with high penetration of photovoltaic (PV) systems, voltage fluctuations can occur at…

Systems and Control · Computer Science 2016-12-08 Katherine Hughes

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

While power systems are reliable infrastructures, their complex interconnectivities allow for propagation of disturbances through cascading failures which causes blackouts. Meanwhile the ever increasing penetration level of renewable…

Applied Physics · Physics 2017-07-03 Mir Hadi Athari , Zhifang Wang

Potential critical risks of cascading failures in power systems can be identified by exposing those critical electrical elements on which certain initial disturbances may cause maximum disruption to power transmission networks. In this…

Systems and Control · Computer Science 2017-05-29 Hehong Zhang , Chao Zhai , Gaoxi Xiao , Tso-Chien Pan

In ergodic physical systems, time-averaged quantities converge (for large times) to their ensemble-averaged values. Large deviation theory describes rare events where these time averages differ significantly from the corresponding ensemble…

Statistical Mechanics · Physics 2020-05-20 Robert L. Jack

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

Optimization and Control · Mathematics 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

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

A comprehensive uncertainty estimation is vital for the precision program of the LHC. While experimental uncertainties are often described by stochastic processes and well-defined nuisance parameters, theoretical uncertainties lack such a…

High Energy Physics - Phenomenology · Physics 2023-05-08 Aishik Ghosh , Benjamin Nachman , Tilman Plehn , Lily Shire , Tim M. P. Tait , Daniel Whiteson

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingencies locally before it can cause a network-wide collapse.…

Optimization and Control · Mathematics 2018-06-08 Sai Pushpak Nandanoori , Soumya Kundu , Draguna Vrabie , Karan Kalsi , Jianming Lian

In the analysis of large random wireless networks, the underlying node distribution is almost ubiquitously assumed to be the homogeneous Poisson point process. In this paper, the node locations are assumed to form a Poisson clustered…

Information Theory · Computer Science 2010-10-11 RadhaKrishna Ganti , Martin Haenggi

The large-scale integration of intermittent renewable energy has brought serious challenges to the frequency security of power systems. In this paper, a novel nonparametric stochastic analysis method of system dynamic frequency is proposed…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Can Wan , Yupeng Ren , Ping Ju

Decarbonization in the energy sector has been accompanied by an increased penetration of new renewable energy sources in electric power systems. Such sources differ from traditional productions in that, first, they induce larger,…

Adaptation and Self-Organizing Systems · Physics 2023-02-10 Melvyn Tyloo , Jason Hindes , Philippe Jacquod

Unscheduled power disturbances cause severe consequences both for customers and grid operators. To defend against such events, it is necessary to identify the causes of interruptions in the power distribution network. In this work, we focus…

Machine Learning · Computer Science 2021-08-17 Odin Foldvik Eikeland , Inga Setså Holmstrand , Sigurd Bakkejord , Matteo Chiesa , Filippo Maria Bianchi

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

The perturbation theory for critical points of causal variational principles is developed. We first analyze the class of perturbations obtained by multiplying the universal measure by a weight function and taking the push-forward under a…

Mathematical Physics · Physics 2020-08-26 Felix Finster

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

A precise estimation of the Rate of Change of Frequency (RoCoF) is crucial for secure power system operation. In fact, RoCoF is strictly related to the amount of the available physical and/or virtual inertia of the system and the severity…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Gutierrez-Florensa , F. Sanniti , D. Tedeschi , L. Sigrist , A. Ortega , F. Milano

Recently increasing attention has been addressed to the fluctuations observed in percolation defined in single and multiplex networks. These fluctuations are extremely important to characterize the robustness of real finite networks but…

Disordered Systems and Neural Networks · Physics 2019-08-21 Ginestra Bianconi

Sustained oscillations observed in power systems can damage equipment, degrade the power quality and increase the risks of cascading blackouts. There are several mechanisms that can give rise to oscillations, each requiring different…

Systems and Control · Computer Science 2015-10-12 Xiaozhe Wang , Konstantin Turitsyn

We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations. Their…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Julian Fritzsch , Philippe Jacquod
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