journal article·2025-11-09Open access

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

Dubravko Sabolić, Lidija Tepeš Golubić, Goran Slipac

Applied Sciences· Volume 15· Issue 22

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.
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Research context

OpenAlex topics: Power System Reliability and Maintenance · Hybrid Renewable Energy Systems · Wind Energy Research and Development

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Croatian Transmission System Operator (HOPS), Kupska 4, HR-10000 Zagreb, Croatia

Zagreb University of Applied Sciences, Vrbik 8, HR-10000 Zagreb, Croatia

HRO CIGRÉ, Berislavićeva 6, HR-10000 Zagreb, Croatia

References (24)

Show source-provided references
1. Ensslin, C., Milligan, M., Holttinen, H., O’Malley, M., and Keane, A. (2008, January 20–24). Current Methods to Calculate Capacity Credit of Wind Power. Proceedings of the 2008 IEEE Power and Energy Society General Meeting: Conversion and Delivery of Electrical Energy in the 21st Century, Pittsburgh, PA, USA.10.1109/PES.2008.4596006 ↗
2. A Systematic Evaluation of Wind’s Capacity Credit in the Western United States10.1002/we.2620 ↗
3. Power Variability of Wind and Solar Production Portfolio in the Republic of Croatia
4. An Efficient Method To Estimate Renewable Energy Capacity Credit at Increasing Regional Grid Penetration Levels
5. Statistical Properties of Electricity Generation From a Large System of Wind Plants and Demand for Fast Regulation10.13044/j.sdewes.d5.0156 ↗
6. Stability Enhancement of a Power System Containing High-penetration Intermittent Renewable Generation10.13044/j.sdewes.2015.03.0012 ↗
7. Improved Gravitational Search Algorithm for Unit Commitment Considering Uncertainty of Wind Power10.1016/j.energy.2014.02.014 ↗
8. Using Reanalysis Data to Quantify Extreme Wind Power Generation Statistics: A 33 Year Case Study in Great Britain10.1016/j.renene.2014.10.024 ↗
9. Tsai, Y.S., Chen, C.W., Kuo, C.C., and Chen, H.C. (2024). Design of an Enhanced Dynamic Regulation Controller Considering the State of Charge of Battery Energy Storage Systems. Appl. Sci., 14.10.3390/app14052155 ↗
10. Xu, Y., Hu, P., Zhang, F., and Zhou, T. (2024). Distributed Generation Cluster Division Method Considering Frequency Regulation Response Speed. Appl. Sci., 14.10.3390/app14062432 ↗
11. Elmousalami, H., Alnaser, A.A., and Kin Peng Hui, F. (2024). Advancing Smart Zero-Carbon Cities: High-Resolution Wind Energy Forecasting to 36 Hours Ahead. Appl. Sci., 14.10.3390/app142411918 ↗
12. Michos, D., Catthoor, F., Foussekis, D., and Kazantzidis, A. (2024). Ultra-Short-Term Wind Power Forecasting in Complex Terrain: A Physics-Based Approach. Energies, 17.10.3390/en17215493 ↗
13. Zhang, Y., Anvari-Moghaddam, A., Peyghami, S., and Blaabjerg, F. (2024). Novel Frequency Regulation Scenarios Generation Method Serving for Battery Energy Storage System Participating in PJM Market. Energies, 17.10.3390/en17143479 ↗
14. Shi, J., Qin, J., Li, H., Li, Z., Ge, Y., and Liu, B. (2024). Probabilistic Power and Energy Balance Risk Scheduling Method Based on Distributed Robust Optimization. Energies, 17.10.20944/preprints202408.2269.v1 ↗
15. Berna-Escriche, C., Álvarez Piñeiro, L., and Blanco, D. (2025). Forecasts Plus Assessments of Renewable Generation Performance, the Effect of Earth’s Geographic Location on Solar and Wind Generation. Appl. Sci., 15.10.3390/app15031450 ↗
16. Passagem dos Santos, J., and Algarvio, H. (2025). A Machine Learning Model for Procurement of Secondary Reserve Capacity in Power Systems with Significant vRES Penetrations. Energies, 18.10.3390/en18061467 ↗
17. Ejuh Che, E., Roland Abeng, K., Iweh, C.D., Tsekouras, G.J., and Fopah-Lele, A. (2025). The Impact of Integrating Variable Renewable Energy Sources into Grid-Connected Power Systems: Challenges, Mitigation Strategies, and Prospects. Energies, 18.10.3390/en18030689 ↗
18. Yang, Y., Meng, Z., Wu, G., Yang, Z., and Guo, R. (2025). A Probabilistic Reserve Decision-Making Method Based on Cumulative Probability Approximation for High-Penetration Renewable Energy Power System. Energies, 18.10.20944/preprints202504.1721.v1 ↗
19. Costilla-Enriquez, N., Ortega-Vazquez, M., Tuohy, A., Motley, A., and Webb, R. (2021). Operating Dynamic Reserve Dimensioning Using Probabilistic Forecasts. arXiv.
20. ENTSO-E (2023). 2023 Biennial Progress Report on Operational Probabilistic Coordinated Security Assessment and Risk Management, ENTSO-E. Technical Report.
21. Puech, A., and Read, J. (2023). Uncovering the Spatial and Temporal Variability of Wind Resources in Europe: A Web-Based Data-Mining Tool. arXiv.
22. Impact of Weather Regimes on Wind Power Variability in Western Europe10.1016/j.apenergy.2020.114731 ↗
23. Papavasiliou, A. (2021). An Overview of Probabilistic Dimensioning of Frequency Restoration Reserves with a Focus on the Greek Electricity Market. Energies, 14.10.3390/en14185719 ↗
24. ENTSO-E (2009). Policy 1: Load-Frequency Control and Performance, ENTSO-E. Available online: https://www.entsoe.eu/fileadmin/user_upload/_library/publications/entsoe/Operation_Handbook/Policy_1_final.pdf.