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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

The Unit Commitment (UC) problem consists in controlling a large fleet of heterogeneous electricity production units in order to minimize the total production cost while satisfying consumer demand. Electric Vehicles (EVs) are used as a…

Optimization and Control · Mathematics 2025-11-17 Hélène Arvis , Olivier Beaude , Nicolas Gast , Stéphane Gaubert , Bruno Gaujal

The naive application of Reinforcement Learning algorithms to continuous control problems -- such as locomotion and manipulation -- often results in policies which rely on high-amplitude, high-frequency control signals, known colloquially…

Robotics · Computer Science 2019-02-14 Steven Bohez , Abbas Abdolmaleki , Michael Neunert , Jonas Buchli , Nicolas Heess , Raia Hadsell

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

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

"Weakly coupled dynamic program" describes a broad class of stochastic optimization problems in which multiple controlled stochastic processes evolve independently but subject to a set of linking constraints imposed on the controls. One…

Optimization and Control · Mathematics 2014-05-15 Fan Ye , Helin Zhu , Enlu Zhou

This paper presents a novel approach to handle the computational complexity in security-constrained unit commitment (SCUC) with corrective network reconfiguration (CNR) to harness the flexibility in transmission networks. This is achieved…

Optimization and Control · Mathematics 2020-07-21 Arun Venkatesh Ramesh , Xingpeng Li , Kory W. Hedman

Security-constrained unit commitment (SCUC) is solved for power system day-ahead generation scheduling, which is a large-scale mixed-integer linear programming problem and is very computationally intensive. Model reduction of SCUC may bring…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Arun Venkatesh Ramesh , Xingpeng Li

Solving problems related to planning and operations of large-scale power systems is challenging on classical computers due to their inherent nature as mixed-integer and nonlinear problems. Quantum computing provides new avenues to approach…

Quantum Physics · Physics 2025-05-02 Willie Aboumrad , Phani R V Marthi , Suman Debnath , Martin Roetteler , Evgeny Epifanovsky

The Uzawa method is a method for solving constrained optimization problems, and is often used in computational contact mechanics. The simplicity of this method is an advantage, but its convergence is slow. This paper presents an accelerated…

Optimization and Control · Mathematics 2020-09-17 Yoshihiro Kanno

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

Receding horizon optimal control problems compute the solution at each time step to operate the system on a near-optimal path. However, in many practical cases, the boundary conditions, such as external inputs, constraint equations, or the…

Optimization and Control · Mathematics 2021-02-02 Abhishek Gupta , Shreshta Rajakumar Deshpande , Marcello Canova

Keeping the balance between supply and demand is a fundamental task in power system operational planning practices. This task becomes particularly challenging due to the deepening penetration of renewable energy resources, which induces a…

Systems and Control · Electrical Eng. & Systems 2019-10-24 Xinbo Geng , Le Xie

Unit commitment (UC) is one of the most important power system operation problems. To integrate higher penetration of wind power into power systems, more compressed air energy storage (CAES) plants are being built. Existing cavern models…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Junpeng Zhan , Yunfeng Wen , Osama Aslam Ansari , C. Y. Chung

This paper presents a millisecond-level look-ahead control algorithm for energy storage with constant space complexity and worst-case linear run-time complexity. The algorithm connects the optimal control with the Lagrangian multiplier…

Optimization and Control · Mathematics 2019-12-13 Bolun Xu , Magnus Korpas , Audun Botterud , Francis O'Sullivan

With California's ambitious goal to achieve decarbonization of the electrical grid by the year 2045, significant challenges arise in power system investment planning. Existing modeling methods and software focus on computational efficiency,…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Osten Anderson , Nanpeng Yu , Mikhail Bragin

Unit commitment is an important optimization problem in power system operations, classified as NP-hard. This paper presents a hybrid quantum-classical method for the unit commitment problem with time-dependent constraints, where decisions…

Quantum Physics · Physics 2026-05-19 Kien X. Nguyen , Ilya Safro , Xiaoyuan Liu

We propose a data-driven technique to automatically learn contextual uncertainty sets in robust optimization, resulting in excellent worst-case and average-case performance while also guaranteeing constraint satisfaction. Our method…

Optimization and Control · Mathematics 2025-06-25 Irina Wang , Bart Van Parys , Bartolomeo Stellato

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 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