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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

In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line…

Adaptation and Self-Organizing Systems · Physics 2019-10-22 Robin Delabays , Melvyn Tyloo , Philippe Jacquod

We propose a method for determining the most likely cause, in terms of conventional generator outages and renewable fluctuations, of power system frequency reaching a predetermined level that is deemed unacceptable to the system operator.…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Brendan Patch , Bert Zwart

Electricity systems are experiencing increased effects of randomness and variability due to emerging stochastic assets. The increased effects introduce new uncertainties into power systems that can impact system operability and reliability.…

Systems and Control · Electrical Eng. & Systems 2022-11-10 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

In high-renewable power systems, active-power disturbances are becoming larger and exhibit increasingly diverse time scales, which complicates frequency stability assessment under unanticipated events. This paper presents a response-based…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Jinhui Chen , Huadong Sun , Ping Wu , Baocai Wang , Bing Zhao

This paper investigates how a disturbance in the power network affects the nodal frequencies of certain network buses. To begin with, we show that the inertia of a single generator is in inverse proportion to the initial rate of change of…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Huisheng Gao , Hui Yuan , Huanhai Xin , Linbin Huang , Chaoyou Feng

Continuous-time random disturbances from the renewable generation pose a significant impact on power system dynamic behavior. In evaluating this impact, the disturbances must be considered as continuous-time random processes instead of…

Optimization and Control · Mathematics 2020-07-09 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

The probabilistic characteristics of daily wind speed are not well captured by simple density functions such as Normal or Weibull distribuions as suggested by the existing literature. The unmodeled uncertainties can cause unknown influences…

Systems and Control · Computer Science 2018-09-17 Weigao Sun , Mohsen Zamani , Hai-Tao Zhang , Yuanzheng Li

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

Machine Learning · Statistics 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

Ghost-stochastic resonance is a noise-induced resonance at a missing fundamental frequency in the input signal. In this paper we investigate the features of ghost-stochastic resonance in a unidirectionally coupled network and small-world…

Chaotic Dynamics · Physics 2015-10-28 S. Rajamani , S. Rajasekar

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

The synchronization of power generators is an important condition for the proper functioning of a power system, in which the fluctuations in frequency and the phase angle differences between the generators are sufficiently small when…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , André C. M. Ran , Jan H. van Schuppen , Chenghui Zhang

The potential for cascading failure in power systems adds substantially to overall reliability risk. Monte Carlo sampling can be used with a power system model to estimate this impact, but doing so is computationally expensive. This paper…

Physics and Society · Physics 2015-08-10 Pooya Rezaei , Paul D. H. Hines , Margaret J. Eppstein

With increasing installation of wind and solar generation, conventional synchronous generators in power systems are gradually displaced resulting in a significant reduction in system inertia. Maintaining system frequency within acceptable…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Mingjian Tuo , Xingpeng Li

Nonlinear systems driven by noise and periodic forces with more than one frequency exhibit the phenomenon of Ghost Stochastic Resonance (GSR) found in a wide and disparate variety of fields ranging from biology to geophysics. The common…

Disordered Systems and Neural Networks · Physics 2015-05-30 Pablo Balenzuela , Holger Braun , Dante R. Chialvo

Pseudo-marginal Markov chain Monte Carlo methods for sampling from intractable distributions have gained recent interest and have been theoretically studied in considerable depth. Their main appeal is that they are exact, in the sense that…

Computation · Statistics 2015-03-25 Felipe J. Medina-Aguayo , Anthony Lee , Gareth O. Roberts

Electricity production currently generates approximately 25% of greenhouse gas emissions in the USA. Thus, increasing the amount of renewable energy is a key step to carbon neutrality. However, integrating a large amount of fluctuating…

Optimization and Control · Mathematics 2021-05-20 Aleksandr Lukashevich , Yury Maximov

Power systems must maintain the frequency within acceptable limits when subjected to a disturbance. To ensure this, the most significant credible disturbance in the system is normally used as a benchmark to allocate the Primary Frequency…

Dynamical Systems · Mathematics 2023-11-28 Alinane B. Kilembe Panagiotis N. Papadopoulos

Sequential Monte Carlo Samplers are a class of stochastic algorithms for Monte Carlo integral estimation w.r.t. probability distributions, which combine elements of Markov chain Monte Carlo methods and importance sampling/resampling…

Probability · Mathematics 2007-05-23 Andreas Eberle , Carlo Marinelli

Cascading failure of a power transmission system are initiated by an exogenous event that disable a set of elements (e.g., lines) followed by a sequence of interrelated failures (or more precisely, trips) of overloaded elements caused by…

Optimization and Control · Mathematics 2015-07-21 Daniel Bienstock , Guy Grebla
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