Statistical Modeling of 15-Min Changes of Production from Renewable Sources

In this paper, 15-min production data from renewable energy sources (RES), aggregated by technology (onshore wind, offshore wind, solar) and by country (Germany, Austria, Hungary), are analyzed. The concept of a confidence interval is introduced as a parameter for practical use in power-system management. In probabilistic dimensioning of the FRR (Frequency Restoration Reserve; sometimes also called “secondary reserve”), it is necessary to ensure reserve sufficiency for a high percentage of time p, in the order of 99.9%. The confidence interval is specified by upper and lower deviation limits, expressed as percentages of the total installed capacity of the observed RES system, not to be exceeded with a probability greater than 1−p. The concept of the “regulation multiplier” is also considered, which essentially indicates how many additional megawatts of RES capacity can be installed for each added megawatt of FRR capacity, ceteris paribus. Finally, a previously experimentally developed regulation-multiplier model is verified by replicating the original research on a new dataset used in this paper.

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Publication Details

Journal
Applied Sciences
Published
2025-11-09
DOI
https://doi.org/10.3390/app152211913
Primary Topic
Power System Reliability and Maintenance
Type
article
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article

Statistical Modeling of 15-Min Changes of Production from Renewable Sources

Lidija Tepeš Golubić, Dubravko Sabolić, Goran Slipac
Applied Sciences
Power System Reliability and Maintenance
article

Statistical Modeling of 15-Min Changes of Production from Renewable Sources

Lidija Tepeš Golubić, Dubravko Sabolić, Goran Slipac
article en

Abstract

In this paper, 15-min production data from renewable energy sources (RES), aggregated by technology (onshore wind, offshore wind, solar) and by country (Germany, Austria, Hungary), are analyzed. The concept of a confidence interval is introduced as a parameter for practical use in power-system management. In probabilistic dimensioning of the FRR (Frequency Restoration Reserve; sometimes also called “secondary reserve”), it is necessary to ensure reserve sufficiency for a high percentage of time p, in the order of 99.9%. The confidence interval is specified by upper and lower deviation limits, expressed as percentages of the total installed capacity of the observed RES system, not to be exceeded with a probability greater than 1−p. The concept of the “regulation multiplier” is also considered, which essentially indicates how many additional megawatts of RES capacity can be installed for each added megawatt of FRR capacity, ceteris paribus. Finally, a previously experimentally developed regulation-multiplier model is verified by replicating the original research on a new dataset used in this paper.

Applied SciencesVol. 15(22)
University of Zagreb (HR), Croatian Academic and Research Network (HR)
Openalex Percentile: Top 59%
Power System Reliability and Maintenance
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