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Related papers: RoCoF Constrained Regional Inertia Security Region…

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The rate of change of frequency (RoCoF) is a critical factor in ensuring frequency security, particularly in power systems with low inertia. Currently, most RoCoF security constrained optimal inertia dispatch methods and inertia market…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Licheng Wang , Luochen Xie , Gang Huang , Changsen Feng

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

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

The shift from synchronous generators to inverter-based resources has caused power system inertia to be unevenly distributed across power grids. As a result, certain grid regions are more vulnerable to high rate-of-change of frequency…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Saurav Dulal , Mohammed M. Olama , Ali R. Ekti , Nils M. Stenvig , Yilu Liu

Large renewable penetration has been witnessed in power systems, resulting in reduced levels of system inertia and increasing requirements for frequency response services. There have been plenty of studies developing frequency-constrained…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Yi Wang , Goran Strbac

If a disturbance rocks a low-inertia power system, the frequency decline may be too rapid to arrest before it triggers undesirable responses from generators and loads. In the worst case, this instability could lead to blackout and major…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Adam B. Birchfield

This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac

In Part I of this paper we have introduced the closed-form conditions for guaranteeing regional frequency stability in a power system. Here we propose a methodology to represent these conditions in the form of linear constraints and…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac

The power system frequency is important for the system overall stability. However, there does not exist a single measurement point of the system frequency due to the distributed nature of the system inertia and the small inconsistency of…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Shutang You , Hongyu Li , Shengyuan Liu , Kaiqi Sun , Weikang Wang , Wei Qiu , Yilu Liu

TThe rapid expansion of inverter-based resources, such as wind and solar power plants, will significantly diminish the presence of conventional synchronous generators in fu-ture power grids with rich renewable energy sources. This…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Mingjian Tuo , Xingpeng Li , Pascal Van Hentenryck

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

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

This paper defines a security injection region (SIR) to guarantee reliable operation of water distribution systems (WDS) under extreme conditions. The model of WDSs is highly nonlinear and nonconvex. Understanding the accurate SIRs of WDSs…

Systems and Control · Electrical Eng. & Systems 2021-03-04 Mostafa Goodarzi , Dan Wu , Qifeng Li

Rotational inertia is stabilizing the frequency of electric power systems against small and large disturbances, but it is also the cause for oscillations between generators. As more and more conventional generators are replaced by renewable…

Optimization and Control · Mathematics 2017-05-10 Theodor Borsche , Florian Dörfler

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

Traditionally, power system's inertia has been estimated according to the rotating masses directly connected to the grid. However, a new generation mix scenario is currently identified, where conventional supply-side is gradually replaced…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Angel Molina-García

We propose a scalable optimization framework for estimating convex inner approximations of the steady-state security sets. The framework is based on Brouwer fixed point theorem applied to a fixed-point form of the power flow equations. It…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Konstantin Turitsyn

A recent trend in control of power systems has sought to quantify the synchronization dynamics in terms of a global performance metric, compute it under very simplified assumptions, and use it to gain insight on the role of system…

Optimization and Control · Mathematics 2019-05-15 Fernando Paganini , Enrique Mallada

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
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