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Probabilistic prediction aims to compute predictive distributions rather than single point predictions. These distributions enable practitioners to quantify uncertainty, compute risk, and detect outliers. However, most probabilistic methods…

Machine Learning · Computer Science 2024-10-23 Nicolas Beltran-Velez , Alessandro Antonio Grande , Achille Nazaret , Alp Kucukelbir , David Blei

The correlations of multiple renewable power plants (RPPs) should be fully considered in the power system with very high penetration renewable power integration. This paper models the uncertainties, spatial correlation of multiple RPPs…

Optimization and Control · Mathematics 2017-07-04 Chenghui Tang , Yishen Wang , Jian Xu , Yuanzhang Sun , Baosen Zhang

Extreme weather variations and the increasing unpredictability of load behavior make it difficult to determine power grid dispatches that are robust to uncertainties. While machine learning (ML) methods have improved the ability to model…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aayushya Agarwal , Larry Pileggi

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

Methodology · Statistics 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

Incorporating Renewable Energy Sources (RES) incurs a high level of uncertainties to electric power systems. This level of uncertainties makes the conventional energy management methods inefficient and jeopardizes the security of…

Optimization and Control · Mathematics 2019-10-17 Mohammad Rasoul Narimani , Ali Azizivahed , Ehsan Naderi

Integration of renewable energy sources and emerging loads like electric vehicles to smart grids brings more uncertainty to the distribution system management. Demand Side Management (DSM) is one of the approaches to reduce the uncertainty.…

Machine Learning · Computer Science 2021-09-28 Elahe Khoshbakhti Vaygan , Roozbeh Rajabi , Abouzar Estebsari

Ensemble forecast post-processing is a necessary step in producing accurate probabilistic forecasts. Conventional post-processing methods operate by estimating the parameters of a parametric distribution, frequently on a per-location or…

Machine Learning · Computer Science 2023-05-01 Peter Mlakar , Janko Merše , Jana Faganeli Pucer

Load frequency control (LFC) is widely employed in power systems to stabilize frequency fluctuation and guarantee power quality. However, most existing LFC methods rely on accurate power system modeling and usually ignore the nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Xiaodi Chen , Meng Zhang , Zhengguang Wu , Ligang Wu , Xiaohong Guan

This paper presents a parametric model approach to address the problem of photovoltaic generation forecasting in a scenario where measurements of meteorological variables, i.e., solar irradiance and temperature, are not available at the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Daniele Pepe , Gianni Bianchini , Antonio Vicino

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

Machine Learning · Statistics 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

Large-scale integration of plug-in electric vehicles (PEV) in power systems can cause severe issues to the existing distribution system, such as branch congestions and significant voltage drops. As a consequence, smart charging strategies…

Optimization and Control · Mathematics 2012-07-24 Qiao Li , Rohit Negi , Marija D. Ilic

Prediction deviations of different uncertainties have varying impacts on downstream decision-making. Improving the prediction accuracy of critical uncertainties with significant impacts on decision-making quality yields better optimization…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Yingrui Zhuang , Lin Cheng , Can Wan , Rui Xie , Ning Qi , Yue Chen

This paper proposes a new objective function and quantile regression (QR) algorithm for load forecasting (LF). In LF, the positive forecasting errors often have different economic impact from the negative forecasting errors. Considering…

Applications · Statistics 2017-03-21 Hossein Sangrody , Ning Zhou

Machine learning methods have been shown to be effective for weather forecasting, based on the speed and accuracy compared to traditional numerical models. While early efforts primarily concentrated on deterministic predictions, the field…

Machine Learning · Computer Science 2025-04-11 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Forecasting electricity demand plays a critical role in ensuring reliable and cost-efficient operation of the electricity supply. With the global transition to distributed renewable energy sources and the electrification of heating and…

Machine Learning · Computer Science 2023-05-31 Konstantin Hopf , Hannah Hartstang , Thorsten Staake

While deep learning-based classification is generally tackled using standardized approaches, a wide variety of techniques are employed for regression. In computer vision, one particularly popular such technique is that of confidence-based…

Machine Learning · Computer Science 2020-07-21 Fredrik K. Gustafsson , Martin Danelljan , Goutam Bhat , Thomas B. Schön

Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

Energy forecasting has a vital role to play in smart grid (SG) systems involving various applications such as demand-side management, load shedding, and optimum dispatch. Managing efficient forecasting while ensuring the least possible…

Machine Learning · Computer Science 2022-05-25 Devinder Kaur , Shama Naz Islam , Md. Apel Mahmud , Md. Enamul Haque , ZhaoYang Dong