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The conventional approach to solving the unit commitment problem involves discrete intervals at an hourly scale, particularly when integrating frequency dynamics to formulate a frequency-constrained unit commitment. To overcome this…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Mohammad Rajabdorri , Enrique Lobato , Lukas Sigrist , Jamshid Aghaei

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

In this paper, we introduce a deep learning aided constraint encoding method to tackle the frequency-constraint microgrid scheduling problem. The nonlinear function between system operating condition and frequency nadir is approximated by…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Yichen Zhang , Chen Chen , Guodong Liu , Tianqi Hong , Feng Qiu

In the current practice of short-term power scheduling, online power reserves are used to address generation mismatches and contingencies. Neither online inertia nor the speed of the committed units is considered in the scheduling process.…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Mohammad Rajabdorri , Enrique Lobato , Lukas Sigrist

Large-scale integration of converter-based renewable energy sources (RESs) into the power system will lead to a higher risk of frequency nadir limit violation and even frequency instability after the large power disturbance. Therefore, it…

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

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

With more inverter-based resources (IBRs), our power systems have lower frequency nadirs following N-1 contingencies, and undesired under-frequency load shedding (UFLS) can occur. To address this challenge, IBRs can be programmed to provide…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Shuan Dong , Xin Fang , Jin Tan , Ningchao Gao , Xiaofan Cui , Anderson Hoke

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

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

Power system restoration following blackouts must ensure frequency stability throughout the recovery process. This paper proposes a frequency-constrained mixed-integer linear programming (MILP) framework for black-start restoration planning…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Xiangyu Zou , Amir Reza Nikzad , Ilyas Farhat , John W. Simpson-Porco

The reduced inertia levels in low-carbon power grids necessitate explicit constraints to limit frequency's nadir and rate of change during scheduling. This can result in significant curtailment of renewable energy due to the minimum…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Cormac O'Malley , Luis Badesa , Fei Teng , Goran Strbac

This letter presents a corrective frequency-constrained UC (C-FCUC) for island power systems implementing analytical constraints on underfrequency load shedding (UFLS). Since UFLS is inevitable for sufficiently large disturbances, one can…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Almudena Rouco , Mohammad Rajabdorri , Lukas Sigrist , Enrique Lobato , Ignacio Egido

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 relevant integration of wind power into the grid has involved a remarkable impact on power system operation, mainly in terms of security and reliability due to the inherent loss of the rotational inertia as a consequence of such new…

This paper presents a data-driven methodology for estimating Under Frequency Load Shedding (UFLS) in small power systems. UFLS plays a vital role in maintaining system stability by shedding load when the frequency drops below a specified…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Mohammad Rajabdorri , Lukas Sigrist , Enrique Lobato , Matthias C. M. Troffaes , Behzad Kazemtabrizi

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

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

Frequency security assessment following major disturbances has long been one of the central tasks in power system operations. The standard approach is to study the center of inertia frequency, an aggregate signal for an entire system, to…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Yan Jiang , Hancheng Min , Baosen Zhang

As we replace conventional synchronous generators with renewable energy, the frequency security of power systems is at higher risk. This calls for a more careful consideration of unit commitment (UC) and primary frequency response (PFR)…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Bo Zhou , Ruiwei Jiang , Siqian Shen

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
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