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Decarbonisation is driving dramatic growth in renewable power generation. This increases uncertainty in the load to be served by power plants and makes their efficient scheduling, known as the unit commitment (UC) problem, more difficult.…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Cormac O'Malley , Patrick de Mars , Luis Badesa , Goran Strbac

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

Systems and Control · Electrical Eng. & Systems 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

In recent years, semidefinite relaxations of common optimization problems in robotics have attracted growing attention due to their ability to provide globally optimal solutions. In many cases, it was shown that specific handcrafted…

Robotics · Computer Science 2024-10-03 Frederike Dümbgen , Connor Holmes , Ben Agro , Timothy D. Barfoot

Robust PCA has drawn significant attention in the last decade due to its success in numerous application domains, ranging from bio-informatics, statistics, and machine learning to image and video processing in computer vision. Robust PCA…

Optimization and Control · Mathematics 2018-06-12 Shiqian Ma , Necdet Serhat Aybat

Resource scheduling is critical in many industries, especially in power systems. The Unit Commitment problem determines the on/off status and output levels of generators under many constraints. Traditional exact methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Tyler Christeson , Md Habib Ullah , Ali Arabnya , Amin Khodaei , Rui Fan

To take unit commitment (UC) decisions under uncertain net load, most studies utilize a stochastic UC (SUC) model that adopts a one-size-fits-all representation of uncertainty. Disregarding contextual information such as weather forecasts…

Optimization and Control · Mathematics 2022-12-01 Ogun Yurdakul , Feng Qiu , Sahin Albayrak

The thermal unit commitment (UC) problem has historically been formulated as a mixed integer quadratic programming (MIQP), which is difficult to solve efficiently, especially for large-scale systems. The tighter characteristic reduces the…

Optimization and Control · Mathematics 2022-09-26 Linfeng Yang , Shifei Chen , Zhaoyang Dong

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 deepening penetration of renewable resources into power systems entails great difficulties that have not been surmounted satisfactorily. An issue that merits special attention is the short-term planning of power systems under net load…

Optimization and Control · Mathematics 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

Security-constrained unit commitment (SCUC) is a computationally complex process utilized in power system day-ahead scheduling and market clearing. SCUC is run daily and requires state-of-the-art algorithms to speed up the process. The…

Machine Learning · Computer Science 2023-06-05 Arun Venkatesh Ramesh , Xingpeng Li

We consider a class of relaxation problems mixing slow and fast variations which can describe population dynamics models or hyperbolic systems, with varying stiffness (from non-stiff to strongly dissipative), and develop a multi-scale…

Analysis of PDEs · Mathematics 2020-05-27 Philippe Chartier , Mohammed Lemou , Léopold Trémant

The increasing penetration of renewable energy sources introduces significant uncertainty in power system operations, making traditional deterministic unit commitment approaches computationally expensive. This paper presents a machine…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Amir Bahador Javadi , Amin Kargarian , Mort Naraghi-Pour

In this paper, acceleration of gradient methods for convex optimization problems with weak levels of convexity and smoothness is considered. Starting from the universal fast gradient method which was designed to be an optimal method for…

Optimization and Control · Mathematics 2022-06-10 Jongho Park

We study the robust matrix completion (RMC) problem subject to both sparse outliers and stochastic noise. A non-convex method termed Accelerated Robust Matrix Completion (ARMC) is proposed, which accelerates a prior non-convex approach by…

Information Theory · Computer Science 2026-05-15 Yichen Fu , Tianming Wang , Ke Wei

In the current practice of short-term power scheduling, online power reserves are used to address generation mismatches and contingencies. Neither online inertia nor the speed of the committed units is considered in the scheduling process.…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Mohammad Rajabdorri , Enrique Lobato , Lukas Sigrist

The paper proposes a new adaptive approach to power system model reduction for fast and accurate time-domain simulation. This new approach is a compromise between linear model reduction for faster simulation and nonlinear model reduction…

Systems and Control · Computer Science 2017-11-13 Denis Osipov , Kai Sun

The performance of a quantum processor depends on the characteristics of the device and the quality of the control pulses. Characterizing cloud-based quantum computers and calibrating the pulses that control them is necessary for…

Quantum Physics · Physics 2022-08-20 Caroline Tornow , Naoki Kanazawa , William E. Shanks , Daniel J. Egger

Optimization-based controllers, such as Model Predictive Control (MPC), have attracted significant research interest due to their intuitive concept, constraint handling capabilities, and natural application to multi-input multi-output…

Systems and Control · Electrical Eng. & Systems 2024-10-24 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

We propose a new method for generating semidefinite relaxations of optimal power flow problems. The method is based on chordal conversion techniques: by dropping some equality constraints in the conversion, we obtain semidefinite…

Optimization and Control · Mathematics 2013-12-09 Martin S. Andersen , Anders Hansson , Lieven Vandenberghe

This letter proposes a few-shot physics-guided spatial temporal graph convolutional network (FPG-STGCN) to fast solve unit commitment (UC). Firstly, STGCN is tailored to parameterize UC. Then, few-shot physics-guided learning scheme is…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Mei Yang , Gao Qiu andJunyong Liu , Kai Liu
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