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The large-scale integration of distributed renewable energy sources into the electricity grid requires the investigation of new methods to ensure stability. For example, Active Distribution Networks (ADNs) can be used at (sub-) transmission…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Christian Holger Nerowski , Zongjun Li , Christian Rehtanz

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

Distributed generation resources have become significantly more prevalent in the electric power system over the past few years. This warrants reconsideration on how the coordination of generation resources is achieved. In this paper, we…

Optimization and Control · Mathematics 2014-09-19 Chenye Wu , Soummya Kar , Gabriela Hug

Energy-intensive industries can adapt to help balance the power grid. By using a real-world case study of a zinc galvanizing process in Denmark, we show how a modest investment in power control of the furnace enables the provision of…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Peter A. V. Gade , Trygve Skjøtskift , Henrik W. Bindner , Jalal Kazempour

Modern power systems present low levels of inertia due to the growing shares of converter-interfaced generation. Consequently, renewable energy sources are increasingly requested to provide frequency support. In addition, due to the inertia…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Joakim Björk , Daniel Vázquez Pombo , Karl Henrik Johansson

Frequency control reserves are an essential ancillary service in any electric power system, guaranteeing that generation and demand of active power are balanced at all times. Traditionally, conventional power plants are used for frequency…

Systems and Control · Computer Science 2013-12-24 Theodor Borsche , Andreas Ulbig , Göran Andersson

This paper presents a novel closed-form solution for a low-order system frequency response (SFR) model that is accurate for all time periods and an accompanying approximation for representing primary frequency responses at two different…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Julius Susanto , Alireza Fereidouni , Pierluigi Mancarella , Dean Sharafi

In small/medium-sized isolated power networks with low rotational inertia and high penetration of renewables, generation/load contingency events may cause large frequency excursions, potentially leading to cascading failures and even…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Alireza Fereidouni , Julius Susanto , Pierluigi Mancarella , Nicky Hong , Teresa Smit , Dean Sharafi

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

Data Structures and Algorithms · Computer Science 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

The growing share of Renewable Energy Sources (RES) in modern power systems increases both grid imbalances and frequency deviations, reinforcing the need for ancillary services such as Frequency Containment Reserve (FCR) and passive…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Celle Hendrickx , Fabio Pavirani , Chris Develder

Recently, frequency security is challenged by high uncertainty and low inertia in power system with high penetration of Renewable Energy Sources (RES). In the context of Unit Commitment (UC) problems, frequency security constraints…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Zhuoxuan Li , Zhongda Chu , Fei Teng

The large-scale replacement of synchronous machines with inverter-based generation (IBG) introduces critical challenges to both voltage and frequency stability. This work builds on a mixed-integer second-order cone programming (MISOCP)…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Aoun Abbas , Zhongda Chu , Charalambos Konstantinou

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

One of the recognized principal issues brought along by the steadfast migration towards power electronic interfaced energy sources is the loss of rotational inertia. In conventional power systems, the inertia of the synchronous machines…

Optimization and Control · Mathematics 2021-04-22 Bala Kameshwar Poolla , Saverio Bolognani , Li Na , Florian Dörfler

An increase in the integration of Inverter Based Resources (IBRs) to the electric grid, will lead to a corresponding decrease in the amount of connected synchronous generators, resulting in a decline in the available rotational inertia…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Atinuke Ademola-Idowu , Baosen Zhang

To address the variability of renewable generation, initiatives have been launched globally to provide faster and more effective frequency responses. In the UK, the National Energy System Operator (NESO) has introduced a suite of three new…

Systems and Control · Electrical Eng. & Systems 2025-09-27 Yiqiao Xu , Quan Wan , Alessandra Parisio

We consider the problem of controlling the frequency of low-inertia power systems via inverter-based resources (IBRs) that are weakly connected to the grid. We propose a novel grid-forming control strategy, the so-called frequency shaping…

Optimization and Control · Mathematics 2022-12-20 Bala Kameshwar Poolla , Yashen Lin , Andrey Bernstein , Enrique Mallada , Dominic Groß

Primary Frequency Control (PFC) is a fast acting mechanism used to ensure high-quality power for the grid that is becoming an increasingly attractive option for load participation. Due to speed requirement and other considerations, it is…

Optimization and Control · Mathematics 2019-07-23 Joshua Comden , Tan N. Le , Yue Zhao , Bong Jun Choi , Zhenhua Liu

Frequency dynamics in power systems reflect active power imbalance in real time, thereby providing an instantaneous signal to inform electricity pricing. However, existing real-time markets operate on much slower timescales and fail to…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Xinwei Liu , Vladimir Dvorkin
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