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Related papers: A Discussion on Stabilization of Frequency Control…

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We present a distributed and price-based control approach for frequency regulation in power grids with nonzero line conductances. Both grid and controller are modeled as a port-Hamiltonian system, where the grid model consists of…

Systems and Control · Electrical Eng. & Systems 2019-09-20 Lukas Kölsch , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

In this paper, we embark on a captivating exploration of the stabilization of locally transmitted problems within the realm of two interconnected wave systems. To begin, we wield the formidable Arendt-Batty criteria\cite{AW} to affirm the…

Analysis of PDEs · Mathematics 2023-10-13 Wafa Ahmedi , Akram Ben Aissa

This paper proposes a new strategy for optimal grid frequency regulation (FR) in an interconnected power system where regional ac grids and an offshore wind farm are linked via a multi-terminal high voltage direct-current (MTDC) network. In…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Young-Jin Kim

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

The rapid expansion of data center infrastructure is reshaping power system dynamics by significantly increasing electricity demand while also offering potential for fast and controllable flexibility. To ensure reliable operation under such…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Pengyu Ren , Wei Sun , Yifan Wang , Gareth Harrison

The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of…

Optimization and Control · Mathematics 2017-08-10 Alireza Karimi , Christoph Kammer

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

With widespread deployment of renewables, the electric power grids are experiencing increasing dynamics and uncertainties, with its secure operation being threatened. Existing frequency control schemes based on day-ahead offline analysis…

Systems and Control · Electrical Eng. & Systems 2022-02-02 Yi Zhou , Liangcai Zhou , Di Shi , Xiaoying Zhao

The frequency droop response of conventional turbine driven synchronous generators with respect to load increases is normally used in order to have stable operating characteristics for multiple generators operating in parallel over large…

Systems and Control · Computer Science 2013-09-11 Kirsch N. Mackey , Roy A. McCann

A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of…

Optimization and Control · Mathematics 2024-03-07 Karl Kunisch , Gengsheng Wang , Huaiqiang Yu

Synthesizing controllers directly from frequency-domain measurement data is a powerful tool in the linear time-invariant framework. Ever-increasing performance requirements necessitate extending these approaches to account for plant…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Tom Bloemers , Roland Tóth , Tom Oomen

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

The increasing penetration of renewable energy sources has been leading to the progressive phase-out of synchronous generators, which constitute the main source of frequency stability for electric power systems. In the light of these…

Signal Processing · Electrical Eng. & Systems 2021-04-12 Davide del Giudice , Angelo Brambilla , Samuele Grillo , Federico Bizzarri

The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility to demand fluctuations and dispatch, it is strongly…

Adaptation and Self-Organizing Systems · Physics 2020-03-25 Mehrnaz Anvari , Leonardo Rydin Gorjão , Marc Timme , Dirk Witthaut , Benjamin Schäfer , Holger Kantz

We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The two equations are coupled through transmission conditions…

Analysis of PDEs · Mathematics 2023-10-10 Zahraa Abdallah , Stéphane Gerbi , Chiraz Kassem , Ali Wehbe

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

Systems and Control · Computer Science 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du

Parametric fluctuations or stochastic signals are introduced into the control pulse sequence to investigate the feasibility of random control over quantum open systems. In a large parameter error region, the out-of-order control pulses work…

Quantum Physics · Physics 2014-09-19 Jun Jing , C. Allen Bishop , Lian-Ao Wu

For decades, power system stabilizers paired with high initial response automatic voltage regulators have served as an effective means of meeting sometimes conflicting system stability requirements. Driven primarily by increases in power…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

In this paper we study the stabilization problem of a general class of slow-fast systems with one fast and arbitrarily many slow states. Moreover, the class of systems under study is slowly actuated, meaning that only the slow states are…

Dynamical Systems · Mathematics 2017-10-05 Hildeberto Jardón-Kojakhmetov , Jacquelien M. A. Scherpen