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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 embedded ensemble propagation approach introduced in [49] has been demonstrated to be a powerful means of reducing the computational cost of sampling-based uncertainty quantification methods, particularly on emerging computational…

Computation · Statistics 2017-05-08 Marta D'Elia , Eric Phipps , Ahmad Rushdi , Mohamed Ebeida

In the face of extreme events, e.g., hurricanes, the transmission systems, especially the transmission lines, are affected across time and space. To mitigate these impacts on the day-ahead market from a probabilistic perspective, a…

Optimization and Control · Mathematics 2019-11-19 Tianyang Zhao , Huajun Zhang , Xiaochuan Liu , Shuhan Yao , Peng Wang

To capture the stochastic characteristics of renewable energy generation output, the chance-constrained unit commitment (CCUC) model is widely used. Conventionally, analytical solution for CCUC is usually based on simplified probability…

Optimization and Control · Mathematics 2019-05-30 Yue Yang , Wenchuan Wu , Bin Wang , Mingjie Li

Cost-sensitive learning relies on the availability of a known and fixed cost matrix. However, in some scenarios, the cost matrix is uncertain during training, and re-train a classifier after the cost matrix is specified would not be an…

Machine Learning · Computer Science 2012-09-11 Rui Wang , Ke Tang

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

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

Low levels of inertia due to increasing renewable penetration bring several challenges, such as the higher need for Primary Frequency Response (PFR). A potential solution to mitigate this problem consists on reducing the largest possible…

Optimization and Control · Mathematics 2020-01-14 Luis Badesa , Fei Teng , Goran Strbac

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind…

Systems and Control · Computer Science 2016-11-29 Kaarthik Sundar , Harsha Nagarajan , Miles Lubin , Line Roald , Sidhant Misra , Russell Bent , Daniel Bienstock

The output of renewable energy fluctuates significantly depending on weather conditions. We develop a unit commitment model to analyze requirements of the forecast output and its error for renewable energies. Our model obtains the time…

Systems and Control · Computer Science 2016-11-17 Yuichi Ikeda , Takashi Ikegami , Kazuto Kataoka , Kazuhiko Ogimoto

Dispatchability of renewable energy sources and inflexible loads can be achieved using a volatility-compensating energy storage. However, as the future power outputs of the inflexible devices are uncertain, the computation of a dispatch…

Systems and Control · Computer Science 2018-05-25 R. R. Appino , J. Á. González Ordiano , R. Mikut , V. Hagenmeyer , T. Faulwasser

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

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

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

The widespread uncertainties have made the interaction between wind power and power grid more complicated and difficult to model and handle. This paper proposes an approach for the solution of unit commitment (UC) problem incorporating…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Fang Zhai , Libao Shi

The N-1-1 contingency criterion considers the con- secutive loss of two components in a power system, with intervening time for system adjustments. In this paper, we consider the problem of optimizing generation unit commitment (UC) while…

Optimization and Control · Mathematics 2016-04-20 Zhaomiao Guo , Richard Li-Yang Chen , Neng Fan , Jean-Paul Watson

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

We consider the sum of the incurred start-up costs of a single unit in a Unit Commitment problem. Our major result is a correspondence between the facets of its epigraph and some binary trees for concave start-up cost functions CU, which is…

Optimization and Control · Mathematics 2015-03-05 René Brandenberg , Matthias Huber , Matthias Silbernagl

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

The unit commitment problem (UC) is crucial for the operation and market mechanism of power systems. With the development of modern electricity, the scale of power systems is expanding, and solving the UC problem is also becoming more and…

Optimization and Control · Mathematics 2022-11-04 Jiangwei Hou , Qiaozhu Zhai , Yuzhou Zhou , Xiaohong Guan