Вероятностная оценка краткосрочной гибкости энергосистемы с учетом ошибок прогнозов генерации и потребления

Authors

  • Kahraman R. ALLAEV
  • Tohir F. MAHMUDOV
  • Denis Y. LOSEV

DOI:

https://doi.org/10.24160/0013-5380-2026-8-17-28

Keywords:

power system flexibility, probabilistic analysis, forecast errors, renewable energy sources, wind power plants, solar power plants, net load forecasting, regulating reserves

Abstract

The article addresses the problem of assessing electric power system (EPS) flexibility subject to uncertainty caused by forecast errors in renewable energy sources (RES) generation and EPS active power demand. The effect the forecast errors in wind power plants (WPP), solar power plants (SPP) generation, and in EPS electricity demand have on the power balance is analyzed. A methodology for determining the total uncertainty of operating conditions based on the statistical aggregation of forecast errors considering their correlation has been developed. An approach for evaluating the required level of power system flexibility and the amount of regulating reserves is proposed. A methodology for probabilistic assessment of power system flexibility has been developed that takes into account the combined effect of forecast errors in RES generation and electricity demand based on their statistical characteristics and mutual correlation. Relationships for determining the total uncertainty of operating conditions are obtained, and EPS flexibility requirements are evaluated at different levels of generation and demand variability. The impact of forecast errors on the required regulating reserves and the EPS ability to maintain power balance is demonstrated. The obtained results can be applied in planning the EPS operation modes, determining the requirements for generation flexibility and reserve amounts, and in analyzing the conditions for integrating wind and solar power plants into the EPS.

Author Biographies

Kahraman R. ALLAEV

(Tashkent State Technical University n.a. Islam Karimov, Tashkent, Uzbekistan) – Professor of the Power Plants, Grids and Systems Dept., Academician of the Academy of the Uzbekistan Republic Sciences, Dr. Sci. (Eng.), Professor.

Tohir F. MAHMUDOV

(Tashkent State Technical University n.a. Islam Karimov, Tashkent, Uzbekistan) – Head of the Power Plants, Grids and Systems Dept., PhD, Docent.

Denis Y. LOSEV

(Tashkent State Technical University n.a. Islam Karimov, Tashkent, Uzbekistan) – Senior Lecturer of the Power Plants, Grids and Systems Dept.

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15. Shrivastava A.B., Pandit M., Dubey H.M. Dynamic Energy and Reserve Dispatch Solutions for Electricity Market with Practical Constraints: Intelligent Computing Technique. – Fourth Int. Conf. on Communication Systems and Network Technologies, 2014, pp. 990–994, DOI: 10.1109/CSNT.2014.202.

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1. Allaev K.R. Sovremennaya energetika i perspektivy ee razvitiya (Modern Energy and Its Development Prospects). Tashkent: Fan va texnologiyalar nashriyot-matbaa uyi, 2021, 952 p.

2. IRENA. Power System Flexibility for the Energy Transition. Part 1: Overview for policy makers. Abu Dhabi: International Renewable Energy Agency, 2018, 48 p.

3. Hadi M.B. et al. A Comprehensive Review on Power System Flexibility: Concept, Services, and Products. – IEEE Access, 2022, vol. 10, pp. 99257–99267, DOI: 10.1109/ACCESS.2022.3206428.

4. Bertsch J. et al. Flexibility in Europe's Power Sector – An Additional Requirement or an Automatic Complement? – Energy Economics, 2016, vol. 53, pp. 118–131, DOI: 10.1016/j.eneco.2014.10.022.

5. Ela E., Milligan M., Kirby B. Operating Reserves and Variable Generation. Technical Report NREL/TP-5500-51978. Golden, CO, USA: National Renewable Energy Laboratory, 2011, 103 p.

6. Holttinen H. et al. Methodologies to Determine Operating Reserves Due to Increased Wind Power. – IEEE Transactions on Sustainable Energy, 2012, vol. 3. No. 4, pp. 713–723, DOI: 10.1109/TSTE.2012.2208207.

7. Wang Y. et al. Methods for Assessing Available Wind Primary Power Reserve. – IEEE Transactions on Sustainable Energy, 2015, vol. 6. No. 1, pp. 272–280, DOI: 10.1109/TSTE.2014.2369235.

8. Status of Power System Transformation: Advanced Power Plant Flexibility. Paris: International Energy Agency, 2018, 115 p.

9. Aksaeva E.S., Glazunova A.M. iPolytech Journal, 2024, vol. 26, No. 2, pp. 247–260.

10. Response to CEER Consultation. Technical Report. Brussels: European Network of Transmission System Operators for Electricity (ENTSO-E), 2017, 34 p.

11. Mandatova P., Mikhailova O. Flexibility and Aggregation: Requirements for Their Interaction in the Market. – Brussels: Eurelectric, 2014, 13 p.

12. Bouffard F., Ortega-Vazquez M. The Value of Operational Flexibility in Power Systems with Significant Wind Power Generation. – IEEE Power and Energy Society General Meeting, 2011, DOI: 10.1109/PES.2011.6039031.

13. Lyon J. et al. Market Implications and Pricing of Dynamic Reserve Policies for Systems with Renewables. – IEEE Power & Energy Society General Meeting, 2015, DOI: 10.1109/PESGM.2015.7285837.

14. Ibanez E., Krad I., Ela E. A Systematic Comparison of Operating Reserve Methodologies. – IEEE Power and Energy Society General Meeting, 2014, DOI: 10.1109/PESGM.2014.6939462.

15. Shrivastava A.B., Pandit M., Dubey H.M. Dynamic Energy and Reserve Dispatch Solutions for Electricity Market with Practical Constraints: Intelligent Computing Technique. – Fourth Int. Conf. on Communication Systems and Network Technologies, 2014, pp. 990–994, DOI: 10.1109/CSNT.2014.202.

16. Huber M., Dimkova D., Hamacher T. Integration of Wind and Solar Power in Europe: Assessment of Flexibility Requirements. – Energy, 2014, vol. 69, pp. 236–246, DOI: 10.1016/j.energy.2014.02.109.

17. Tuohy A., Lannoye E. Metrics for Quantifying Flexibility in Power System Planning. Technical Report. Palo Alto, CA, USA: Electric Power Research Institute, 2014, 13 p.

18. Allaev K.R., Makhmudov T.F., Losev D.Y. Analysis of the Flexibility of Uzbekistan’s Power System under Increasing Shares of Variable Renewable Energy Generation. – Scientific and Technical Journal of Problems of Energy and Sources Saving, 2025, No. 4, pp. 33–44, DOI: 10.5281/zenodo.18410767.

19. Heggarty T. et al. Quantifying Power System Flexibility Provision. – Applied Energy, 2020, vol. 279, DOI: 10.1016/j.apenergy.2020.115852

Published

2026-08-13

Issue

Section

Article