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Recent studies indicate that the effects of inter-annual climate-based variability in power system planning are significant and that long samples of demand & weather data (spanning multiple decades) should be considered. At the same time,…

Applications · Statistics 2019-05-30 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

The growth in variable renewables such as solar and wind is increasing the impact of climate uncertainty in energy system planning. Addressing this ideally requires high-resolution time series spanning at least a few decades. However,…

Applications · Statistics 2022-10-18 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

To reduce computational complexity, macro-energy system models commonly implement reduced time-series data. For renewable energy systems dependent on seasonal storage and characterized by intermittent renewables, like wind and solar,…

General Economics · Economics 2022-12-21 Leonard Göke , Mario Kendziorski

The growing share of renewable energy makes the optimization of power flows in power system models computationally more complicated, due to the widely distributed weather-dependent electricity generation. This article evaluates two methods…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Oriol Raventós , Julian Bartels

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

Modelling renewable energy systems is a computationally-demanding task due to the high fluctuation of supply and demand time series. To reduce the scale of these, this paper discusses different methods for their aggregation into typical…

Optimization and Control · Mathematics 2017-12-04 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

Seasonal climate variations affect electricity demand, which in turn affects month-to-month electricity planning and operations. Electricity system planning at the monthly timescale can be improved by adapting climate forecasts to estimate…

Systems and Control · Electrical Eng. & Systems 2019-11-12 A. R. de Queiroz , D. Mulcahy , A. Sankarasubramanian , J. P. Deane , G. Mahinthakumar , N. Lu , J. F. DeCarolis

To account for volatile renewable energy supply, energy systems optimization problems require high temporal resolution. Many models use time-series clustering to find representative periods to reduce the amount of time-series input data and…

This paper introduces a new approach to quantify the impact of forward propagated demand and weather uncertainty on power system planning and operation models. Recent studies indicate that such sampling uncertainty, originating from demand…

Applications · Statistics 2020-11-17 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

Optimization and Control · Mathematics 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

The optimization-based design of renewable energy systems is a computationally demanding task because of the high temporal fluctuation of supply and demand time series. In order to reduce these time series, the aggregation of typical…

Optimization and Control · Mathematics 2018-02-01 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

Power system expansion models are a widely used tool for planning powersystems, especially considering the integration of large shares of renewableresources. The backbone of these models is an optimization problem, whichdepends on a number…

Physics and Society · Physics 2021-08-26 Bruno U. Schyska , Alexander Kies , Markus Schlott , Lueder von Bremen , Wided Medjroubi

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz

We consider systems of slow--fast diffusions with small noise in the slow component. We construct provably logarithmic asymptotically optimal importance schemes for the estimation of rare events based on the moderate deviations principle.…

Probability · Mathematics 2020-01-07 Matthew R. Morse , Konstantinos Spiliopoulos

Importance sampling is a well developed method in statistics. Given a random variable $X$, the problem of estimating its expected value $\mu$ is addressed. The standard approach is to use the sample mean as an estimator $\bar x$. In…

Applications · Statistics 2014-05-09 Georg Hofmann

Energy systems modeling frequently relies on time series data, whether observed or forecast. This is particularly the case, for example, in capacity planning models that use hourly production and load data forecast to occur over the coming…

Computation · Statistics 2025-02-13 Kelly Wang , Steven O. Kimbrough

Worldwide commitments to net zero greenhouse emissions have accelerated investments in renewable energy resources. The requirements for operating and planning power systems are becoming stringent because of the need to take into account the…

Optimization and Control · Mathematics 2022-07-21 Aiusha Sangadiev , Alvaro Gonzalez-Castellanos , David Pozo

With appropriately chosen sampling probabilities, sampling-based random projection can be used to implement large-scale statistical methods, substantially reducing computational cost while maintaining low statistical error. However,…

Machine Learning · Statistics 2026-01-13 Yifan Chen , Yun Yang

This paper considers the representation of energy storage in electricity sector capacity planning models. The incorporation of storage in long-term systems models of this type is increasingly relevant as the cost of storage technologies,…

Optimization and Control · Mathematics 2021-06-01 James H. Merrick , John E. T. Bistline , Geoffrey J. Blanford

Model selection requires repeatedly evaluating models on a given dataset and measuring their relative performances. In modern applications of machine learning, the models being considered are increasingly more expensive to evaluate and the…

Machine Learning · Computer Science 2020-10-21 Anant Raj , Cameron Musco , Lester Mackey , Nicolo Fusi
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