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We propose and analyze the application of statistical functional depth metrics for the selection of extreme scenarios in day-ahead grid planning. Our primary motivation is screening of probabilistic scenarios for realized load and renewable…

Machine Learning · Statistics 2025-05-13 Guillermo Terrén-Serrano , Michael Ludkovski

This paper proposes a systematic framework to assess the complementarity of renewable resources over arbitrary geographical scopes and temporal scales which is particularly well-suited to exploit very large data sets of climatological data.…

Deterministic simulations of the rate equations governing cluster dynamics in materials are limited by the number of equations to integrate. Stochastic simulations are limited by the high frequency of certain events. We propose a coupling…

Materials Science · Physics 2017-10-11 Pierre Terrier , Manuel Athènes , Thomas Jourdan , Gilles Adjanor , Gabriel Stoltz

With the expansion of renewables in the electricity mix, power grid variability will increase, hence a need to robustify the system to guarantee its security. Therefore, Transport System Operators (TSOs) must conduct analyses to simulate…

Machine Learning · Computer Science 2023-09-28 Nathan Weill , Jonathan Dumas

The increasing interest in demand-side management (DSM) as part of the energy cost optimization calls for effective methods to determine representative electricity prices for energy optimization and scheduling investigations. We propose a…

Applications · Statistics 2026-01-15 Chrysanthi Papadimitriou , Jan C. Schulze , Alexander Mitsos

The increasing use of renewable energy sources (RESs) and responsive loads has made power systems more uncertain. Meanwhile, thanks to the development of advanced metering and forecasting technologies, predictions by RESs and load owners…

Optimization and Control · Mathematics 2023-08-01 Rui Xie , Pierre Pinson , Yin Xu , Yue Chen

Many residential energy consumers have installed photovoltaic (PV) panels and energy storage systems. These residential users can aggregate and participate in the energy markets. A stochastic decision making model for an aggregation of…

Optimization and Control · Mathematics 2020-02-21 Hossein Khazaei , Ramin Moslemi , Ratnesh Sharma

Stochastic shortest path computations are often performed under very strict time constraints, so computational efficiency is critical. A major determinant for the CPU time is the number of scenarios used. We demonstrate that by carefully…

Signal Processing · Electrical Eng. & Systems 2020-06-02 Dongqing Zhang , Stein W. Wallace , Zhaoxia Guo , Yucheng Dong , Michal Kaut

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

Stochastic economic dispatch models address uncertainties in forecasts of renewable generation output by considering a finite number of realizations drawn from a stochastic process model, typically via Monte Carlo sampling. Accurate…

Computational Engineering, Finance, and Science · Computer Science 2015-08-24 Cosmin Safta , Richard L. -Y. Chen , Habib N. Najm , Ali Pinar , Jean-Paul Watson

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

The variable nature of the solar generation and the inherent uncertainty in solar generation forecasts are two challenging issues for utility grids, especially as the distribution grid integrated solar generation proliferates. This paper…

Systems and Control · Computer Science 2017-03-02 Alireza Majzoobi , Amin Khodaei , Shay Bahramirad

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

Risk Management · Quantitative Finance 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

The residential electrical energy scheduling of solar Photovoltaics (PV) is an important research area of the modern green buildings. On the demand side, factors such as building load, and the renewable PV energy resources are integrated…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Sara Zainaa , Shima Sadaf , Ansaruddin Kunjuc , Mohammad Meraj , Devrim Unal , Farid Touati

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

Optimization and Control · Mathematics 2020-03-17 Dario Paccagnan , Marco C. Campi

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

The global increase in energy consumption and demand has forced many countries to transition into including more diverse energy sources in their electricity market. To efficiently utilize the available fuel resources, all energy sources…

Optimization and Control · Mathematics 2024-03-06 Razan A. H. Al-Lawati , Tasnim Ibn Faiz , Md. Noor-E-Alam

This paper introduces an innovative interval prediction methodology aimed at addressing the limitations of current evaluation indicators while enhancing prediction accuracy and reliability. To achieve this, new evaluation metrics are…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Lu Xin

We consider a sequential decision making process, such as renewable energy trading or electrical production scheduling, whose outcome depends on the future realization of a random factor, such as a meteorological variable. We assume that…

Trading and Market Microstructure · Quantitative Finance 2021-07-01 Peter Tankov , Laura Tinsi

We propose a hybrid algorithmic strategy for complex stochastic optimization problems, which combines the use of scenario trees from multistage stochastic programming with machine learning techniques for learning a policy in the form of a…

Optimization and Control · Mathematics 2019-10-25 Boris Defourny , Damien Ernst , Louis Wehenkel
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