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Unit Commitment (UC) is a core optimization problem in power system operation and electricity market scheduling. It determines the optimal on/off status and dispatch of generating units while satisfying system, operational, and market…

Quantum Physics · Physics 2026-01-06 Milad Hasanzadeh , Ali Rajabi , Amin Kargarian

Accurate modeling of power flow behavior is essential for a wide range of power system applications, yet the nonlinear and nonconvex structure of the underlying equations often limits their direct use in large-scale optimization problems.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Paprapee Buason , Sidhant Misra , Daniel K. Molzahn

In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders decomposition in which the unit commitment master problem is formulated as a mixed-integer problem with…

Optimization and Control · Mathematics 2020-11-24 M. Paredes , L. S. A. Martins , S. Soares , Hongxing Ye

Day-ahead unit commitment (UC) is a fundamental task for power system operators, where generator statuses and power dispatch are determined based on the forecasted nodal net demands. The uncertainty inherent in renewables and load…

Systems and Control · Electrical Eng. & Systems 2024-08-12 Xuan He , Honglin Wen , Yufan Zhang , Yize Chen , Danny H. K. Tsang

To maintain frequency stability in decarbonized power systems, inertia services from synchronous generators (SGs) and inverter-based resources must be procured. However, designing an inertia-aware system operation poses significant…

Systems and Control · Electrical Eng. & Systems 2025-11-19 HyunJoong Kim , Jip Kim

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

We study a joint wind farm planning and operational scheduling problem under decision-dependent uncertainty. The objective is to determine the optimal number of wind turbines at each location to minimize total cost, including both…

Optimization and Control · Mathematics 2025-09-03 Zhiqiang Chen , Caihua Chen , Jingshi Cui , Qian Hu , Wei Xu

Efficient power production scheduling is a crucial concern for power system operators aiming to minimize operational costs. Previous mixed-integer linear programming formulations for unit commitment (UC) problems have primarily used two or…

Optimization and Control · Mathematics 2026-02-26 Bin Tian , Kai Pan , Chung-Lun Li

Time-adaptive unit commitment (UC) has recently been investigated to reduce the scheduling costs by flexibly varying the temporal resolution, which is usually determined by clustering the net load patterns. However, there exists a…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Junyi Tao , Ran Li , Salvador Pineda

As penetration of wind power generation increases, system operators must account for its stochastic nature in a reliable and cost-efficient manner. These conflicting objectives can be traded-off by accounting for the variability and…

Optimization and Control · Mathematics 2015-11-11 Yury Dvorkin , Miles Lubin , Scott Backhaus , Michael Chertkov

The N-1-1 contingency criterion considers the con- secutive loss of two components in a power system, with intervening time for system adjustments. In this paper, we consider the problem of optimizing generation unit commitment (UC) while…

Optimization and Control · Mathematics 2016-04-20 Zhaomiao Guo , Richard Li-Yang Chen , Neng Fan , Jean-Paul Watson

Efforts to reduce climate change, but also falling prices and significant technology developments currently drive an increased weather-dependent electricity production from renewable electricity sources. In light of the changing climate, it…

Signal Processing · Electrical Eng. & Systems 2019-06-10 Smail Kozarcanin , Hailiang Liu , Gorm Bruun Andresen

This paper discusses a framework to design elements of the plant and control systems for floating offshore wind turbines in an integrated manner using linear parameter-varying models. Multiple linearized models derived from aeroelastic…

Systems and Control · Electrical Eng. & Systems 2023-11-09 Athul Krishna Sundarrajan , Yong Hoon Lee , James T Allison , Daniel Zalkind , Daniel Herber

The integration of more renewable energy sources into the power system is presenting system operators with various challenges. At the distribution system level, voltage magnitudes that violate operating limits near large photovoltaic…

Optimization and Control · Mathematics 2022-01-05 Sandro Merkli , Roy S. Smith

Power company operators make power generation plans one day in advance, in what is known as the Unit Commitment (UC) problem. UC is exposed to uncertainties, such as unknown electricity load and disturbances caused by renewable energy…

Optimization and Control · Mathematics 2026-03-11 Ichiro Toyoshima , Pierre-Louis Poirion , Tomohide Yamazaki , Kota Yaguchi , Masayuki Kubota , Ryota Mizutani , Akiko Takeda

Wind power is playing an increasingly important role in electricity markets. However, it's inherent variability and uncertainty cause operational challenges and costs as more operating reserves are needed to maintain system reliability.…

Optimization and Control · Mathematics 2016-03-01 Yishen Wang , Zhi Zhou , Cong Liu , Audun Botterud

Increased penetration of wind energy will make electricity market prices more volatile. As a result, market participants will bear increased financial risks, which impact investment decisions and in turn, makes it harder to achieve…

Optimization and Control · Mathematics 2021-04-16 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

The exceptional benefits of wind power as an environmentally responsible renewable energy resource have led to an increasing penetration of wind energy in today's power systems. This trend has started to reshape the paradigms of power…

Optimization and Control · Mathematics 2014-10-01 Alvaro Lorca , Andy Sun

To capture the stochastic characteristics of renewable energy generation output, the chance-constrained unit commitment (CCUC) model is widely used. Conventionally, analytical solution for CCUC is usually based on simplified probability…

Optimization and Control · Mathematics 2019-05-30 Yue Yang , Wenchuan Wu , Bin Wang , Mingjie Li

Modern society's reliance on power systems is at risk from the escalating effects of wind-related climate change. Yet, failure to identify the intricate relationship between wind-related climate risks and power systems could lead to serious…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Jiaqi Ruan , Xiangrui Meng , Yifan Zhu , Gaoqi Liang , Xianzhuo Sun , Huayi Wu , Huijuan Xiao , Mengqian Lu , Pin Gao , Jiapeng Li , Wai-Kin Wong , Zhao Xu , Junhua Zhao
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