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Related papers: Security-Constrained Unit Commitment Con-sidering …

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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

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

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

The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in…

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

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

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

The reduced level of system inertia in low-carbon power grids increases the need for alternative frequency services. However, simultaneously optimising the provision of these services in the scheduling process, subject to significant…

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

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind…

Systems and Control · Computer Science 2016-11-29 Kaarthik Sundar , Harsha Nagarajan , Miles Lubin , Line Roald , Sidhant Misra , Russell Bent , Daniel Bienstock

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

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

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

Power systems must maintain the frequency within acceptable limits when subjected to a disturbance. To ensure this, the most significant credible disturbance in the system is normally used as a benchmark to allocate the Primary Frequency…

Dynamical Systems · Mathematics 2023-11-28 Alinane B. Kilembe Panagiotis N. Papadopoulos

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

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

Low levels of inertia due to increasing renewable penetration bring several challenges, such as the higher need for Primary Frequency Response (PFR). A potential solution to mitigate this problem consists on reducing the largest possible…

Optimization and Control · Mathematics 2020-01-14 Luis Badesa , Fei Teng , Goran Strbac

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

The increasing penetration of converter-based renewable generation has resulted in faster frequency dynamics, and low and variable inertia. As a result, there is a need for frequency control methods that are able to stabilize a disturbance…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Jie Feng , Manasa Muralidharan , Rodrigo Henriquez-Auba , Patricia Hidalgo-Gonzalez , Yuanyuan Shi

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind…

Systems and Control · Computer Science 2020-11-23 Kaarthik Sundar , Harsha Nagarajan , Line Roald , Sidhant Misra , Russell Bent , Daniel Bienstock

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

With the increasing penetration of Inverter-Based Resources (IBRs), power system stability constraints must be incorporated into the operational framework, transforming it into stability-constrained optimization. Currently, there exist…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Wangkun Xu , Zhongda Chu , Florin Capitanescu , Fei Teng
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