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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 short-term operation of a power system is usually planned by solving a day-ahead unit commitment problem. Due to historical reasons, the commitment of the power generating units is decided over a time horizon typically consisting of the…

Optimization and Control · Mathematics 2019-03-12 Salvador Pineda , Ricardo Fernandez-Blanco , Juan Miguel Morales

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

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

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson

A decomposition algorithm for solving large-scale security-constrained AC optimal power flow problems is presented. The formulation considered is the one used in the ARPA-E Grid Optimization (GO) Competition, Challenge 1, held from November…

Optimization and Control · Mathematics 2021-10-06 Frank E. Curtis , Daniel K. Molzahn , Shenyinying Tu , Andreas Wächter , Ermin Wei , Elizabeth Wong

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

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

This paper presents an algorithm that solves the AC power flow problem for balanced, three-phase transmission systems at steady state. The algorithm extends the "fixed-point power flow" algorithm in the literature to include transmission…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Liangjie Chen , John W. Simpson-Porco

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

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

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 joint management of heat and power systems is believed to be key to the integration of renewables into energy systems with a large penetration of district heating. Determining the day-ahead unit commitment and production schedules for…

Optimization and Control · Mathematics 2015-07-22 Marco Zugno , Juan M. Morales , Henrik Madsen

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

The day-ahead energy and reserve management with transmission restrictions and voltage security limits is a challenging task for large-scale power systems in the presence of real-time variations caused by the uncertain demand and the…

Optimization and Control · Mathematics 2018-11-22 L. P. M. I. Sampath , M. Hotz , H. B. Gooi , W. Utschick

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

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

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

This paper proposes a Clustered Unit Commitment (CUC) formulation to accurately model flexibility requirements such as ramping, reserve, and startup/shutdown constraints. The CUC is commonly applied in large and long-term planning models to…

Optimization and Control · Mathematics 2019-06-21 German Morales-Espana , Diego A. Tejada-Arango
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