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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

Wind has the potential to make a significant contribution to future energy resources. Locating the sources of this renewable energy on a global scale is however extremely challenging, given the difficulty to store very large data sets…

Applications · Statistics 2017-10-03 Jaehong Jeong , Stefano Castruccio , Paola Crippa , Marc G. Genton

TThe rapid expansion of inverter-based resources, such as wind and solar power plants, will significantly diminish the presence of conventional synchronous generators in fu-ture power grids with rich renewable energy sources. This…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Mingjian Tuo , Xingpeng Li , Pascal Van Hentenryck

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

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

This paper incorporates a continuous-type network flexibility into chance constrained economic dispatch (CCED). In the proposed model, both power generations and line susceptances are continuous variables to minimize the expected generation…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Yue Song , Tao Liu , David J. Hill

In order to cluster or partition data, we often use Expectation-and-Maximization (EM) or Variational approximation with a Gaussian Mixture Model (GMM), which is a parametric probability density function represented as a weighted sum of…

Machine Learning · Computer Science 2013-07-04 Ji Won Yoon

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

Machine Learning · Computer Science 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

Quantifying the uncertainty of wind energy potential from climate models is a very time-consuming task and requires a considerable amount of computational resources. A statistical model trained on a small set of runs can act as a stochastic…

Applications · Statistics 2017-11-13 Jaehong Jeong , Yuan Yan , Stefano Castruccio , Marc G. Genton

Due to the limited predictability of wind power and other stochastic generation, trading this energy in competitive electricity markets is challenging. This paper derives revenue-maximising and risk-constrained strategies for stochastic…

General Finance · Quantitative Finance 2018-05-31 Jethro Browell

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

Gaussian Mixture Models are a powerful tool in Data Science and Statistics that are mainly used for clustering and density approximation. The task of estimating the model parameters is in practice often solved by the Expectation…

Machine Learning · Statistics 2022-08-25 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

The increasing occurrence of continuous anomalous weather events has intensified the uncertainty in wind and photovoltaic power generation, posing significant challenges to the operation and optimization of building integrated energy…

Optimization and Control · Mathematics 2025-04-16 Deyi Shao , Hongru Li , Jingsheng Li , Xia Yu , Xiaoyu Sun , Bowen Han

Both the level of conservativeness and the computational burden in robust optimization are critically influenced by uncertainty set design. However, contextual side information is rarely exploited in robust dispatch of power systems…

Optimization and Control · Mathematics 2026-05-11 Zhaojun Ruan , Yulin Liu , Le Fu , Libao Shi

This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models.…

Methodology · Statistics 2013-01-17 Tao Huang , Heng Peng , Kun Zhang

This letter proposes a data-driven sparse polynomial chaos expansion-based surrogate model for the stochastic economic dispatch problem considering uncertainty from wind power. The proposed method can provide accurate estimations for the…

Signal Processing · Electrical Eng. & Systems 2021-09-20 Xiaoting Wang , Rong-Peng Liu , Xiaozhe Wang , Yunhe Hou , François Bouffard

Incorporating the AC power flow equations into unit commitment models has the potential to avoid costly corrective actions required by less accurate power flow approximations. However, research on unit commitment with AC power flow…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Robert Parker , Carleton Coffrin

The transmission-constrained unit commitment (TC-UC) problem is one of the most relevant problems solved by independent system operators for the daily operation of power systems. Given its computational complexity, this problem is usually…

Optimization and Control · Mathematics 2020-01-27 Salvador Pineda , Juan Miguel Morales , Asunción Jiménez-Cordero

In this manuscript we continue the thread of [M. Chertkov, F. Pan, M. Stepanov, Predicting Failures in Power Grids: The Case of Static Overloads, IEEE Smart Grid 2011] and suggest a new algorithm discovering most probable extreme stochastic…

Systems and Control · Computer Science 2011-09-08 Michael Chertkov , Mikhail Stepanov , Feng Pan , Ross Baldick

We present a new subspace-based method to construct probabilistic models for high-dimensional data and highlight its use in anomaly detection. The approach is based on a statistical estimation of probability density using densities of…

Machine Learning · Computer Science 2021-08-16 Cetin Savkli , Catherine Schwartz
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