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Optimal sizing of renewable hybrid power plants considering component reliability as a multi-discipline optimization under uncertainty

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  • Zhu, Rujie
  • Murcia Leon, Juan Pablo
  • Friis-Møller, Mikkel
  • Gupta, Megha
  • Das, Kaushik

Abstract

The sizing of grid-connected hybrid power plants (HPPs), integrating wind, photovoltaics (PV), and battery storage, is critical for optimizing economic performance. Traditional sizing approaches typically assume ideal component availability, neglecting failure and repair processes, which can lead to overestimated financial projections. This paper develops a stochastic reliability model to simulate component availability time series over the plant’s lifetime, considering wind turbines, PV strings, PV inverters, battery systems, and transformers. The sizing problem is formulated as a multi-disciplinary optimization under uncertainty, incorporating 13 design variables, including wind turbine rated power, number of turbines, installation density, PV capacity, inverter size etc. The optimization aims to maximize the weighted average of expected net present value (NPV) over capital expenditure (CAPEX) and the conditional value-at-risk of NPV over CAPEX. The proposed methodology is applied to case studies at a Danish and a French site with diverse weather conditions to compare deterministic and stochastic sizing approaches. The out-of-sample experiments demonstrate that incorporating component reliability in the sizing process increases the mean NPV-to-CAPEX ratio, evaluated over 100 reliability scenarios, by 2.5 % and 2.8 % for the two sites, respectively, indicating enhanced investment efficiency.

Suggested Citation

  • Zhu, Rujie & Murcia Leon, Juan Pablo & Friis-Møller, Mikkel & Gupta, Megha & Das, Kaushik, 2026. "Optimal sizing of renewable hybrid power plants considering component reliability as a multi-discipline optimization under uncertainty," Applied Energy, Elsevier, vol. 404(C).
  • Handle: RePEc:eee:appene:v:404:y:2026:i:c:s0306261925018689
    DOI: 10.1016/j.apenergy.2025.127138
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    References listed on IDEAS

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    1. A. Sayed & M. El-Shimy & M. El-Metwally & M. Elshahed, 2019. "Reliability, Availability and Maintainability Analysis for Grid-Connected Solar Photovoltaic Systems," Energies, MDPI, vol. 12(7), pages 1-18, March.
    2. Yang, Yuqing & Bremner, Stephen & Menictas, Chris & Kay, Merlinde, 2022. "Modelling and optimal energy management for battery energy storage systems in renewable energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    3. Mahmoudimehr, Javad & Shabani, Masoume, 2018. "Optimal design of hybrid photovoltaic-hydroelectric standalone energy system for north and south of Iran," Renewable Energy, Elsevier, vol. 115(C), pages 238-251.
    4. Lin, Xing-Min & Kireeva, Natalia & Timoshin, A.V. & Naderipour, Amirreza & Abdul-Malek, Zulkurnain & Kamyab, Hesam, 2021. "A multi-criteria framework for designing of stand-alone and grid-connected photovoltaic, wind, battery clean energy system considering reliability and economic assessment," Energy, Elsevier, vol. 224(C).
    5. Sharma, Pavitra & Dutt Mathur, Hitesh & Mishra, Puneet & Bansal, Ramesh C., 2022. "A critical and comparative review of energy management strategies for microgrids," Applied Energy, Elsevier, vol. 327(C).
    6. Guo, Haitao & Watson, Simon & Tavner, Peter & Xiang, Jiangping, 2009. "Reliability analysis for wind turbines with incomplete failure data collected from after the date of initial installation," Reliability Engineering and System Safety, Elsevier, vol. 94(6), pages 1057-1063.
    7. Conroy, Niamh & Deane, J.P. & Ó Gallachóir, Brian P., 2011. "Wind turbine availability: Should it be time or energy based? – A case study in Ireland," Renewable Energy, Elsevier, vol. 36(11), pages 2967-2971.
    8. Bodunrin Brown & Bin Liu & Stuart McIntyre & Matthew Revie, 2023. "Reliability evaluation of repairable systems considering component heterogeneity using frailty model," Journal of Risk and Reliability, , vol. 237(4), pages 654-670, August.
    9. Tostado-Véliz, Marcos & Icaza-Alvarez, Daniel & Jurado, Francisco, 2021. "A novel methodology for optimal sizing photovoltaic-battery systems in smart homes considering grid outages and demand response," Renewable Energy, Elsevier, vol. 170(C), pages 884-896.
    10. Naval, Natalia & Yusta, Jose M., 2021. "Virtual power plant models and electricity markets - A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    11. Keyvandarian, Ali & Saif, Ahmed, 2023. "Optimal sizing of a reliability-constrained, stand-alone hybrid renewable energy system using robust satisficing," Renewable Energy, Elsevier, vol. 204(C), pages 569-579.
    12. Duchaud, Jean-Laurent & Notton, Gilles & Darras, Christophe & Voyant, Cyril, 2019. "Multi-Objective Particle Swarm optimal sizing of a renewable hybrid power plant with storage," Renewable Energy, Elsevier, vol. 131(C), pages 1156-1167.
    13. Gupta, Nikita & Garg, Rachana & Kumar, Parmod, 2017. "Sensitivity and reliability models of a PV system connected to grid," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 188-196.
    14. Jiang, Jianhua & Ming, Bo & Huang, Qiang & Guo, Yi & Shang, Jia’nan & Jurasz, Jakub & Liu, Pan, 2023. "A holistic techno-economic evaluation framework for sizing renewable power plant in a hydro-based hybrid generation system," Applied Energy, Elsevier, vol. 348(C).
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