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Related papers: Control of the Power Flows of a Stochastic Power S…

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The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

Optimization and Control · Mathematics 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

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 power grid frequency is the central observable in power system control, as it measures the balance of electrical supply and demand. A reliable frequency forecast can facilitate rapid control actions and may thus greatly improve power…

Physics and Society · Physics 2020-08-24 Johannes Kruse , Benjamin Schäfer , Dirk Witthaut

The increasing amount of controllable generation and consumption in distribution grids poses a severe challenge in keeping voltage values within admissible ranges. Existing approaches have considered different optimal power flow…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Miguel Picallo , Adolfo Anta , Bart De Schutter

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

Large-scale integration of renewables in power systems gives rise to new challenges for keeping synchronization and frequency stability in volatile and uncertain power flow states. To ensure the safety of operation, the system must maintain…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Chao Duan , Pratyush Chakraborty , Takashi Nishikawa , Adilson E. Motter

We consider stochastic electro-mechanical dynamics of an overdamped power system in the vicinity of the saddle-node bifurcation associated with the loss of global stability such as voltage collapse or phase angle instability. Fluctuations…

Physics and Society · Physics 2016-11-18 Dmitry Podolsky , Konstantin Turitsyn

The ongoing energy transition challenges the stability of the electrical power system. Stable operation of the electrical power grid requires both the voltage (amplitude) and the frequency to stay within operational bounds. While much…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Eder Batista Tchawou Tchuisseu , Eric-Donald Ndogmo , Pavel Procházka , Paul Woafo , Pere Colet , Benjamin Schäfer

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

We consider a stochastic control model driven by a fractional Brownian motion. This model is a formal approximation to a queueing network with an on-off input process. We study stochastic control problems associated with the long-run…

Probability · Mathematics 2008-08-12 Arka P. Ghosh , Alexander Roitershtein , Ananda Weerasinghe

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency.…

Optimization and Control · Mathematics 2024-04-02 Robert Mieth , H. Vincent Poor

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

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

The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 Leonardo Rydin Gorjão , Mehrnaz Anvari , Holger Kantz , Christian Beck , Dirk Witthaut , Marc Timme , Benjamin Schäfer

We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H van Schuppen , Chenghui Zhang

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 operation of power systems is affected by diverse technical, economic and social factors. Social behaviour determines load patterns, electricity markets regulate the generation and weather-dependent renewables introduce power…

Systems and Control · Electrical Eng. & Systems 2022-11-04 Johannes Kruse , Eike Cramer , Benjamin Schäfer , Dirk Witthaut

We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow parametrization of the power system state, which is particularly…

Optimization and Control · Mathematics 2017-04-03 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

Statistical Mechanics · Physics 2024-10-03 Yasuhiro Utsumi
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