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A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

Optimization and Control · Mathematics 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

The increasing penetration of non-synchronous renewable energy sources (NS-RES) alters the dynamic characteristic, and consequently, the frequency behaviour of a power system. To accurately identify these changing trends and address them in…

Systems and Control · Computer Science 2017-08-03 Ahmad Shabir Ahmadyar , Shariq Riaz , Gregor Verbic , Archie Chapman , David J. Hill

A fast and scalable iterative methodology for solving the security-constrained optimal power flow (SCOPF) problem is proposed using problem decomposition and the inverse matrix modification lemma. The SCOPF formulation tackles system…

Optimization and Control · Mathematics 2024-07-22 Matias Vistnes , Vijay Venu Vadlamudi , Oddbjørn Gjerde

Understanding the impact of grid-following (GFL) converters on system frequency dynamics is crucial, from both the center of inertia (COI) and frequency spatial variation perspectives. Part I of this series clarifies the mechanisms by which…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Jiahao Liu , Cheng Wang , Tianshu Bi

In this paper, the Unit Commitment (UC) problem in a power network with low levels of rotational inertia is studied. Frequency-related constraints, namely the limitation on Rate-of-Change-of-Frequency (RoCoF), frequency nadir and…

Optimization and Control · Mathematics 2019-04-08 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

As renewable sources increasingly replace existing conventional generation, the dynamics of the grid drastically changes, posing new challenges for transmission system operations, but also arising new opportunities as converter-based…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Alessandro Crivellaro , Ali Tayyebi , Catalin Gavriluta , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

Determining contingency aware dispatch decisions by solving a security-constrained optimal power flow (SCOPF) is challenging for real-world power systems, as the high problem dimensionality often leads to impractical computational…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Richard Weinhold , Robert Mieth

Modern power systems with high share of renewable generation are at the risk of rapid changes in frequency and inertia resulting from contingencies. The importance of an accurate assessment of system and load relief, as well as frequency…

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

High penetration of renewable energy sources intensifies frequency fluctuations in multi-area power systems, challenging both stability and operational safety. This paper proposes a novel distributed frequency control method that ensures…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Xiemin Mo , Tao Liu

Low levels of system inertia in power grids with significant penetration of non-synchronous Renewable Energy Sources (RES) have increased the risk of frequency instability. The provision of a certain type of ancillary services such as…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

Load-generation balance and system inertia are essential for maintaining frequency in power systems. Power grids are equipped with Rate-of-Change-of Frequency (ROCOF) and Load Shedding (LS) relays in order to keep load-generation balance.…

Systems and Control · Electrical Eng. & Systems 2021-02-25 Mohamadsaleh Jafari , Md Hassan Shahriar , Mohammad Ashiqur Rahman , Sumit Paudyal

The frequency stability of power systems is increasingly challenged by various types of disturbances. In particular, the increasing penetration of renewable energy sources is increasing the variability of power generation and at the same…

Systems and Control · Computer Science 2018-03-26 John Moriarty , Jure Vogrinc , Alessandro Zocca

An observer based adaptive detection methodology (ADM) is proposed for estimating frequency and its rate of change (RoCoF) of the voltage and/or current measurements acquired from an instrument transformer. With guaranteed convergence and…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Abdul Saleem Mir , Abhinav Kumar Singh , Nilanjan Senroy

This paper proposes a novel formulation of effective regional inertia that explicitly accounts for both system topology and the spatial distribution of inertia. Unlike traditional approaches that model a region as an aggregated machine with…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Bruno Pinheiro , Joe H. Chow , Federico Milano , Daniel Dotta

The Rate of Occurrence of Failures (ROCOF) is a widely utilized indicator for assessing a system's performance over time, yet it does not fully disclose the instantaneous behavior of a system. This paper introduces new measures to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Guglielmo D'Amico , Filippo Petroni

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

As renewable resources gradually replace conventional generation based synchronous machines, the dynamics of the modern grid changes significantly and the system synchronous inertia decreases substantially. This transformation poses severe…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Mingjian Tuo , Xingpeng Li

The high penetration of converter-based renewable energy sources has brought challenges to the power system frequency control. It is essential to consider the frequency security constraints and frequency control reserve requirements in unit…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Likai Liu , Zechun Hu

With the decrease in system inertia, frequency security becomes an issue for power systems around the world. Energy storage systems (ESS), due to their excellent ramping capabilities, are considered as a natural choice for the improvement…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Yan Jiang , Eliza Cohn , Petr Vorobev , Enrique Mallada