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Log-logistic distribution is a flexible distribution that can model a wide range of failure patterns in the field of electrical, electronic and mechanical engineering and is often used in reliability inference. However, the inference of the…

Methodology · Statistics 2026-05-08 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

Predicting the demand for electricity with uncertainty helps in planning and operation of the grid to provide reliable supply of power to the consumers. Machine learning (ML)-based demand forecasting approaches can be categorized into (1)…

Machine Learning · Computer Science 2023-02-15 Yiwei Fu , Nurali Virani , Honggang Wang

Load forecasting is an integral part of power system operations and planning. Due to the increasing penetration of rooftop PV, electric vehicles and demand response applications, forecasting the load of individual and a small group of…

Systems and Control · Electrical Eng. & Systems 2019-06-19 Ling Zhang , Baosen Zhang

The increasing integration of distributed energy resources (DERs) is transforming power systems into complex, decentralized networks, particularly at the distribution level, where active distribution networks (ADNs) introduce new challenges…

Optimization and Control · Mathematics 2025-07-14 J. G. De la Varga , J. M. Morales , S. Pineda

Under-Frequency Load Shedding (UFLS) schemes are the last resort to contain a frequency drop in the grid by disconnecting part of the demand. The allocation methods for selecting feeders that would contribute to the UFLS scheme have…

Optimization and Control · Mathematics 2022-11-29 Luis Badesa , Cormac O'Malley , Maria Parajeles , Goran Strbac

The increasing demand for electricity and the aging infrastructure of power distribution systems have raised significant concerns about future system reliability. Failures in distribution systems, closely linked to system usage and…

Optimization and Control · Mathematics 2024-10-21 Gejia Zhang , Robert Mieth

We present ProbHardE2E, a probabilistic forecasting framework that incorporates hard operational/physical constraints, and provides uncertainty quantification. Our methodology uses a novel differentiable probabilistic projection layer…

Machine Learning · Computer Science 2025-11-05 Utkarsh Utkarsh , Danielle C. Maddix , Ruijun Ma , Michael W. Mahoney , Yuyang Wang

Consider an edge computing setting in which a user submits queries for the solution of a linear system to an edge processor, which is subject to time-varying computing availability. The edge processor applies a probabilistic linear solver…

Machine Learning · Statistics 2025-04-30 Qiushuo Hou , Sangwoo Park , Matteo Zecchin , Yunlong Cai , Guanding Yu , Osvaldo Simeone

The likelihood function plays a pivotal role in statistical inference; it is adaptable to a wide range of models and the resultant estimators are known to have good properties. However, these results hinge on correct specification of the…

Statistics Theory · Mathematics 2017-12-15 Adam Jaeger , Nicole Lazar

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

Probabilistic prediction of stochastic dynamical systems (SDSs) aims to accurately predict the conditional probability distributions of future states. However, accurate probabilistic predictions tightly hinge on accurate distributional…

Optimization and Control · Mathematics 2026-04-21 Tao Xu , Jianping He

Accurate identification of parameters of load models is essential in power system computations, including simulation, prediction, and stability and reliability analysis. Conventional point estimation based composite load modeling approaches…

Systems and Control · Computer Science 2019-03-27 Chang Fu , Zhe Yu , Di Shi , Haifeng Li , Caisheng Wang , Zhiwei Wang , Jie Li

Prediction intervals offer an effective tool for quantifying the uncertainty of loads in distribution systems. The traditional central PIs cannot adapt well to skewed distributions, and their offline training fashion is vulnerable to…

Applications · Statistics 2023-11-30 Yufan Zhang , Honglin Wen , Qiuwei Wu , Qian Ai

Low-to-medium voltage distribution networks are experiencing rising levels of distributed energy resources, including renewable generation, along with improved sensing, communication, and automation infrastructure. As such, state estimation…

Systems and Control · Computer Science 2019-04-18 Thiagarajan Ramachandran , Andrew Reiman , Sai Pushpak Nandanoori , Mark Rice , Soumya Kundu

Short-Term Load Forecasting (STLF) is a fundamental component in the efficient management of power systems, which has been studied intensively over the past 50 years. The emerging development of smart grid technologies is posing new…

Optimization and Control · Mathematics 2017-02-28 The-Hien Dang-Ha , Filippo Maria Bianchi , Roland Olsson

Accurate production forecasts are essential to continue facilitating the integration of renewable energy sources into the power grid. This paper illustrates how to obtain probabilistic day-ahead forecasts of wind power generation via…

Machine Learning · Computer Science 2026-02-16 Max Bruninx , Diederik van Binsbergen , Timothy Verstraeten , Ann Nowé , Jan Helsen

With the growing prevalence of smart grid technology, short-term load forecasting (STLF) becomes particularly important in power system operations. There is a large collection of methods developed for STLF, but selecting a suitable method…

Machine Learning · Computer Science 2018-11-06 Cong Feng , Jie Zhang

Probabilistic forecasting is not only a way to add more information to a prediction of the future, but it also builds on weaknesses in point prediction. Sudden changes in a time series can still be captured by a cumulative distribution…

Machine Learning · Computer Science 2025-11-19 Niklas Erdmann , Lars Bentsen , Roy Stenbro , Heine Nygard Riise , Narada Dilp Warakagoda , Paal E. Engelstad

Probabilistic forecasts are essential for various downstream applications such as business development, traffic planning, and electrical grid balancing. Many of these probabilistic forecasts are performed on time series data that contain…

Machine Learning · Computer Science 2023-02-07 Benedikt Heidrich , Kaleb Phipps , Oliver Neumann , Marian Turowski , Ralf Mikut , Veit Hagenmeyer

We consider the problem of short- and medium-term electricity load forecasting by using past loads and daily weather forecast information. Conventionally, many researchers have directly applied regression analysis. However, interpreting the…

Methodology · Statistics 2020-07-03 Kei Hirose