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Some applications of deep learning require not only to provide accurate results but also to quantify the amount of confidence in their prediction. The management of an electric power grid is one of these cases: to avoid risky scenarios,…

Machine Learning · Computer Science 2023-08-25 Michele Guerra , Simone Scardapane , Filippo Maria Bianchi

As the penetration of variable renewable powergeneration increases in power systems around the world, systemsecurity is challenged. Ensuring that enough reserve capacity isavailable to balance the increased forecast errors introduced bywind…

Optimization and Control · Mathematics 2019-03-13 Christian Øyn Naversen , Hossein Farahmand , Arild Helseth

Load forecasts have become an integral part of energy security. Due to the various influencing factors that can be considered in such a forecast, there is also a wide range of models that attempt to integrate these parameters into a system…

Machine Learning · Computer Science 2022-10-19 Philipp Giese

Due to the inherent aleatory uncertainties in renewable generators, the reliability/adequacy assessments of distributed generation (DG) systems have been particularly focused on the probabilistic modeling of random behaviors, given…

Performance · Computer Science 2012-06-07 Yanfu Li , Enrico Zio

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

The uncertainty quantification and risk modeling are hot topics in the operation and planning of energy systems. The system operators and planners are decision-makers that need to handle the uncertainty of input data of their models. As an…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Majid Majidi , Behnam Mohammadi-Ivatlooa , Alireza Soroudi

Transmission capacity of an ad hoc wireless network is analyzed when each node of the network harvests energy from nature, e.g. solar, wind, vibration etc. Transmission capacity is the maximum allowable density of nodes, satisfying a per…

Information Theory · Computer Science 2015-03-20 Rahul Vaze

The penetration of renewable energies requires additional storages to deal with intermittency. Accordingly, there is growing interest in evaluating the opportunity cost (usage value) associated with stored energy in large storages, a cost…

Optimization and Control · Mathematics 2025-01-20 Camila Martinez Parra , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier , Jean-Marc Janin , Manuel Ruiz

Ambient energy harvesting is touted as a low cost solution to prolong the life of low-powered devices, reduce the carbon footprint, and make the system self-sustainable. Most research to date have focused either on the physical aspects of…

Information Theory · Computer Science 2018-05-16 Sudarshan Guruacharya , Ekram Hossain

We determine forest lease value and optimal harvesting strategies under model parameter uncertainty within stochastic bio-economic models that account for catastrophe risk. Catastrophic events are modeled as a Poisson point process, with a…

Mathematical Finance · Quantitative Finance 2025-02-11 Ankush Agarwal , Christian Ewald , Yihan Zou

In the probabilistic energy forecasting literature, emphasis is mainly placed on deriving marginal predictive densities for which each random variable is dealt with individually. Such marginals description is sufficient for power systems…

Applications · Statistics 2016-03-23 Faranak Golestaneh , Pierre Pinson , Hoay Beng Gooi

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

Electricity production currently generates approximately 25% of greenhouse gas emissions in the USA. Thus, increasing the amount of renewable energy is a key step to carbon neutrality. However, integrating a large amount of fluctuating…

Optimization and Control · Mathematics 2021-05-20 Aleksandr Lukashevich , Yury Maximov

Disputes over cost allocation can present a significant barrier to investment in shared infrastructure. While it may be desirable to allocate cost in a way that corresponds to expected benefits, investments in long-lived projects are made…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Han Shu , Jacob Mays

The emergence of distributed energy resources has led to new challenges in the operation and planning of power networks. Of particular significance is the introduction of a new layer of complexity that manifests in the form of new…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Aaqib Peerzada , Miroslav Begovic , Wesam Rohouma , Robert S. Balog

Powering radio access networks using renewables, such as wind and solar power, promises dramatic reduction in the network operation cost and the network carbon footprints. However, the spatial variation of the energy field can lead to…

Information Theory · Computer Science 2016-11-18 Kaibin Huang , Marios Kountouris , Victor O. K. Li

The paper introduces a new methodology for assessing on-line the prediction risk of short-term wind power forecasts. The first part of this methodology consists in computing confidence intervals with a confidence level defined by the…

Data Analysis, Statistics and Probability · Physics 2023-10-05 Georges Kariniotakis , Pierre Pinson

Identifying future congestion points in electricity distribution networks is an important challenge distribution system operators face. A proven approach for addressing this challenge is to assess distribution grid adequacy using…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Julian N. Betge , Barbera Droste , Jacco Heres , Simon H. Tindemans

Classification imbalance arises when one class is much rarer than the other. We frame this setting as transfer learning under label (prior) shift between an imbalanced source distribution induced by the observed data and a balanced target…

Machine Learning · Statistics 2026-01-16 Eric Xia , Jason M. Klusowski

The increasing penetration of renewable energy in recent years has led to more uncertainties in power systems. In order to maintain system reliability and security, electricity market operators need to keep certain reserves in the…

Optimization and Control · Mathematics 2015-12-21 Hongxing Ye , Zuyi Li