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With rapid integration of power sources with uncertainty, robustness must be carefully considered in the transmission constrained unit commitment (TCUC) problem. The overall computational complexity of the robust TCUC methods is closely…

Optimization and Control · Mathematics 2018-10-16 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

The Unit Commitment (UC) problem is a key optimization task in power systems to forecast the generation schedules of power units over a finite time period by minimizing costs while meeting demand and technical constraints. However, many…

Machine Learning · Computer Science 2024-10-08 Matthias Pirlet , Adrien Bolland , Gilles Louppe , Damien Ernst

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

The thermal unit commitment (UC) problem often can be formulated as a mixed integer quadratic programming (MIQP), which is difficult to solve efficiently, especially for large-scale instances. In this paper, with projecting unit generation…

Optimization and Control · Mathematics 2017-02-08 Linfeng Yang , Chen Zhang , Jinbao Jian , Ke Meng , Zhaoyang Dong

Mixed integer Model Predictive Control (MPC) problems arise in the operation of systems where discrete and continuous decisions must be taken simultaneously to compensate for disturbances. The efficient solution of mixed integer MPC…

Optimization and Control · Mathematics 2024-04-09 Ilias Mitrai , Prodromos Daoutidis

With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchronous decentralized solution framework for the Unit…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Paritosh Ramanan , Murat Yildirim , Edmond Chow , Nagi Gebraeel

Second order conic programming (SOCP) has been used to model various applications in power systems, such as operation and expansion planning. In this paper, we present a two-stage stochastic mixed integer SOCP (MISOCP) model for the…

Optimization and Control · Mathematics 2017-04-04 Hossein Haghighat , Bo Zeng

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

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 unit commitment (UC) problem, which determines operating schedules of generation units to meet demand, is a fundamental task in power systems operation. Existing UC methods using mixed-integer programming are not well-suited to highly…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Patrick de Mars

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

Optimization and Control · Mathematics 2026-01-22 Deniz Tuncer , Burak Kocuk

The deepening penetration of renewable energy is challenging how power system operators cope with the associated variability and uncertainty in the unit commitment problem. Given its computational complexity, several optimization-based…

Systems and Control · Electrical Eng. & Systems 2022-08-26 Mohamed Awadalla , François Bouffard

We consider the problem of minimizing costs in the generation unit commitment problem, a cornerstone in electric power system operations, while enforcing an N-k-e reliability criterion. This reliability criterion is a generalization of the…

Optimization and Control · Mathematics 2014-04-14 Richard Li-Yang Chen , Neng Fan , Ali Pinar , Jean-Paul Watson

The unit commitment problem (UC) is crucial for the operation and market mechanism of power systems. With the development of modern electricity, the scale of power systems is expanding, and solving the UC problem is also becoming more and…

Optimization and Control · Mathematics 2022-11-04 Jiangwei Hou , Qiaozhu Zhai , Yuzhou Zhou , Xiaohong Guan

Incorporating the AC power flow equations into unit commitment models has the potential to avoid costly corrective actions required by less accurate power flow approximations. However, research on unit commitment with AC power flow…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Robert Parker , Carleton Coffrin

In the face of extreme events, e.g., hurricanes, the transmission systems, especially the transmission lines, are affected across time and space. To mitigate these impacts on the day-ahead market from a probabilistic perspective, a…

Optimization and Control · Mathematics 2019-11-19 Tianyang Zhao , Huajun Zhang , Xiaochuan Liu , Shuhan Yao , Peng Wang

This paper presents a new exact method to calculate worst-case parameter realizations in two-stage robust optimization problems with categorical or binary-valued uncertain data. Traditional exact algorithms for these problems, notably…

Optimization and Control · Mathematics 2022-01-19 Anirudh Subramanyam

Bilevel optimization formulates hierarchical decision-making processes that arise in many real-world applications such as in pricing, network design, and infrastructure defense planning. In this paper, we consider a class of bilevel…

Optimization and Control · Mathematics 2021-04-20 Geunyeong Byeon , Pascal Van Hentenryck

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

Optimization and Control · Mathematics 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

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