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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

This paper proposes a sequential convex relaxation method for obtaining feasible and near-globally optimal solutions for unit commitment (UC) with AC transmission constraints. First, we develop a second-order cone programming (SOCP)…

Optimization and Control · Mathematics 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Adnan Nasir , Ramtin Madani

Unit commitment (UC) is a fundamental problem in the day-ahead electricity market, and it is critical to solve UC problems efficiently. Mathematical optimization techniques like dynamic programming, Lagrangian relaxation, and mixed-integer…

Systems and Control · Electrical Eng. & Systems 2022-06-10 Jingtao Qin , Yuanqi Gao , Mikhail Bragin , Nanpeng Yu

The unit commitment problem (UC) is an optimization problem concerning the operation of electrical generators. Many algorithms have been proposed for the UC and in recent years a more decentralized approach, by solving the UC with…

Optimization and Control · Mathematics 2023-11-23 Rogier Hans Wuijts , Marjan van den Akker , Machteld van den Broek

As the cornerstone of modern power systems, the Unit Commitment Problem (UC) is critical for ensuring operational security and economic efficiency in the ongoing global energy transition. However, existing UC studies typically propose…

Logic in Computer Science · Computer Science 2026-04-21 Yuxin Zhao , Han Huang , Fangji Fu , Zhifeng Hao

We expand our novel computational method for unit commitment (UC) to include long-horizon planning. We introduce a fast novel algorithm to commit hydro-generators, provably accurately. We solve problems with thousands of generators at 5…

Optimization and Control · Mathematics 2026-03-26 Shaked Regev , Eve Tsybina , Slaven Peles

We propose a novel computational method for unit commitment UC, which does not require linearized approximation and provides several orders of magnitude performance improvement over current state-of-the-art. The performance improvement is…

Optimization and Control · Mathematics 2026-03-26 Shaked Regev , Eve Tsybina , Slaven Peles

The unit commitment (UC) problem is a nonlinear, high-dimensional, highly constrained, mixed-integer power system optimization problem and is generally solved in the literature considering minimizing the system operation cost as the only…

Neural and Evolutionary Computing · Computer Science 2014-10-24 Anupam Trivedi , Kunal Pal , Chiranjib Saha , Dipti Srinivasan

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

In an attempt to speed up the solution of the unit commitment (UC) problem, both machine-learning and optimization-based methods have been proposed to lighten the full UC formulation by removing as many superfluous line-flow constraints as…

Optimization and Control · Mathematics 2022-03-15 Álvaro Porras , Salvador Pineda , Juan M. Morales , Asunción Jiménez-Cordero

The rapid growth of data centers increasingly requires data center operators to "bring own generation" to complement the available utility power plants to supply all or part of data center load. This practice sharply increases the number of…

Optimization and Control · Mathematics 2026-02-04 Shaked Regev , Eve Tsybina , Slaven Peles

This work considers a multiobjective version of the unit commitment problem that deals with finding the optimal generation schedule of a firm, over a period of time and a given electrical network. With growing importance of environmental…

Optimization and Control · Mathematics 2025-01-14 Ece Tevruez , Aswin Kannan

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

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

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

The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite…

Optimization and Control · Mathematics 2018-06-26 Claudio Gambella , Jakub Marecek , Martin Mevissen , Jose Maria Fernandez Ortega , Sara Pezic Djukic , Mustafa Pezic

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

To contribute to a smart grid, the unit commitment and dispatch (UCD) is a very important problem to be revisited in the future microgrid environment. In this paper, the UCD problem is studied by taking account of both traditional thermal…

Optimization and Control · Mathematics 2018-12-27 Fangyuan Li , Jiahu Qin , Yu Kang

Unit commitment and load dispatch problems are important and complex problems in power system operations that have being traditionally solved separately. In this paper, both problems are solved together without approximations or…

Computers and Society · Computer Science 2019-03-25 Danilo Vasconcellos Vargas , Junichi Murata , Hirotaka Takano

This paper proposes a hybrid quantum-classical algorithm to solve a fundamental power system problem called unit commitment (UC). The UC problem is decomposed into a quadratic subproblem, a quadratic unconstrained binary optimization (QUBO)…

Quantum Physics · Physics 2022-04-19 Reza Mahroo , Amin Kargarian
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