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Currently, system operators implement demand response by dispatching controllable loads for economic reasons in day-ahead scheduling. Particularly, demand shifting from peak hours when the cost of electricity is higher to non-peak hours to…

Optimization and Control · Mathematics 2020-06-23 Arun Venkatesh Ramesh , Xingpeng Li

This paper proposes a global optimization method for it ensures finding good solutions while solving the unit commitment (UC) problem with carbon emission trading (CET). This method con-sists of two parts. In the first part, a sequence of…

Optimization and Control · Mathematics 2019-08-28 Linfeng Yang , Wei Li , Guo Chen , Beihua Fang , Chunming Tang , Zhaoyang Dong

In this work we solve the day-ahead unit commitment (UC) problem, by formulating it as a Markov decision process (MDP) and finding a low-cost policy for generation scheduling. We present two reinforcement learning algorithms, and devise a…

Artificial Intelligence · Computer Science 2016-11-17 Gal Dalal , Shie Mannor

Unit commitment (UC) are essential tools to transmission system operators for finding the most economical and feasible generation schedules and dispatch signals. Constraint screening has been receiving attention as it holds the promise for…

Optimization and Control · Mathematics 2022-12-02 Xuan He , Honglin Wen , Yufan Zhang , Yize Chen

Unit commitment (UC) optimizes the start-up and shutdown schedules of generating units to meet load demand while minimizing costs. However, the increasing integration of renewable energy introduces uncertainties for real-time scheduling.…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Xiang Wei , Ziqing Zhu , Linghua Zhu , Ze Hu , Xian Zhang , Guibin Wang , Siqi Bu , Ka Wing Chan

Maintaining instantaneous balance between electricity supply and demand is critical for reliability and grid instability. System operators achieve this through solving the task of Unit Commitment (UC),ca high dimensional large-scale…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Muhy Eddin Za'ter , Anna Van Boven , Bri-Mathias Hodge , Kyri Baker

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

A power system unit commitment (UC) problem considering uncertainties of renewable energy sources is investigated in this paper, through a distributionally robust optimization approach. We assume that the first and second order moments of…

Optimization and Control · Mathematics 2020-11-17 Xiaodong Zheng , Haoyong Chen , Yan Xu , Zhengmao Li , Zhenjia Lin , Zipeng Liang

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

The transmission-constrained unit commitment (TC-UC) problem is one of the most relevant problems solved by independent system operators for the daily operation of power systems. Given its computational complexity, this problem is usually…

Optimization and Control · Mathematics 2020-01-27 Salvador Pineda , Juan Miguel Morales , Asunción Jiménez-Cordero

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

Security-Constrained Unit Commitment (SCUC) is a fundamental problem in power systems and electricity markets. In practical settings, SCUC is repeatedly solved via Mixed-Integer Linear Programming, sometimes multiple times per day, with…

Optimization and Control · Mathematics 2019-12-19 Alinson S. Xavier , Feng Qiu , Shabbir Ahmed

This paper introduces a novel approach for incorporating frequency dynamics into the unit commitment (UC) problem through a general-order differential equation model, solved using Bernstein polynomial approximation. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Mohammad Rajabdorri , Bo Zhou , Lukas Sigrist , Enrique Lobato

This paper proposes a data-driven version of the Benders decomposition algorithm applied to the stochastic unit commitment (SUC) problem. The proposed methodology aims at finding a trade-off between the size of the Benders master problem…

Optimization and Control · Mathematics 2019-12-04 Baudouin Vandenbussche , Stefanos Delikaraoglou , Ignacio Blanco , Gabriela Hug

Security-constrained unit commitment with alternating current optimal power flow (SCUC-ACOPF) is a central problem in power grid operations that optimizes commitment and dispatch of generators under a physically accurate power transmission…

Optimization and Control · Mathematics 2025-05-12 Matthew Brun , Thomas Lee , Dirk Lauinger , Xin Chen , Xu Andy Sun

This work presents a GPU-accelerated solver for the unit commitment (UC) problem in large-scale power grids. The solver uses the Primal-Dual Hybrid Gradient (PDHG) algorithm to efficiently solve the relaxed linear subproblem, achieving…

Optimization and Control · Mathematics 2025-12-09 Hussein Sharadga , Javad Mohammadi

Efficient methods for large-scale security constrained unit commitment (SCUC) problems have long been an important research topic and a challenge especially in market clearing computation. For large-scale SCUC, the Lagrangian relaxation…

Optimization and Control · Mathematics 2018-10-23 Xuan Li , Qiaozhu Zhai , Jingxuan Zhou , Xiaohong Guan

The growing number of individual generating units, hybrid resources, and security constraints has significantly increased the computational burden of network-constrained unit commitment (UC), where most solution time is spent exploring…

Machine Learning · Computer Science 2026-04-06 Guangwen Wang , Jiaqi Wu , Yang Weng , Baosen Zhang

Large reasoning models (LRMs) have achieved remarkable progress in complex problem-solving tasks. Despite this success, LRMs typically suffer from high computational costs during deployment, highlighting a need for efficient inference. A…

Artificial Intelligence · Computer Science 2026-02-02 Hao Zeng , Jianguo Huang , Bingyi Jing , Hongxin Wei , Bo An

The quantum hybrid algorithm has become a very promising and speedily method today for solving the larger-scale optimization in the noisy intermediate-scale quantum (NISQ) era. The unit commitment (UC) problem is a fundamental problem in…

Quantum Physics · Physics 2025-10-10 Jian Liu , Xu Zhou , Zhuojun Zhou , Le Luo