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Chance-Constrained Optimal Design of PV-Based Microgrids under Grid Blackout Uncertainties

Author

Listed:
  • Mansour Alramlawi

    (Department of Cognitive Energy Systems, Fraunhofer IOSB-AST, 98693 Ilmenau, Germany)

  • Pu Li

    (Department of Process Optimization, Institute of Automation and Systems Engineering, Ilmenau University of Technology, 98693 Ilmenau, Germany)

Abstract

A grid blackout is an intractable problem with serious economic consequences in many developing countries. Although it has been proven that microgrids (MGs) are capable of solving this problem, the uncertainties regarding when and for how long blackouts occur lead to extreme difficulties in the design and operation of the related MGs. This paper addresses the optimal design problem of the MGs considering the uncertainties of the blackout starting time and duration utilizing the kernel density estimator method. Additionally, uncertainties in solar irradiance and ambient temperature are also considered. For that, chance-constrained optimization is employed to design residential and industrial PV-based MGs. The proposed approach aims to minimize the expected value of the levelized cost of energy ( L C O E ), where the restriction of the annual total loss of power supply ( T L P S ) is addressed as a chance constraint. The results show that blackout uncertainties have a considerable effect on calculating the size of the MG’s components, especially the battery bank size. Additionally, it is proven that considering the uncertainties of the input parameters leads to an accurate estimation for the LCOE and increases the MG reliability level.

Suggested Citation

  • Mansour Alramlawi & Pu Li, 2024. "Chance-Constrained Optimal Design of PV-Based Microgrids under Grid Blackout Uncertainties," Energies, MDPI, vol. 17(8), pages 1-15, April.
  • Handle: RePEc:gam:jeners:v:17:y:2024:i:8:p:1892-:d:1376509
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    References listed on IDEAS

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    1. Kamjoo, Azadeh & Maheri, Alireza & Putrus, Ghanim A., 2014. "Chance constrained programming using non-Gaussian joint distribution function in design of standalone hybrid renewable energy systems," Energy, Elsevier, vol. 66(C), pages 677-688.
    2. Tsianikas, Stamatis & Zhou, Jian & Birnie, Dunbar P. & Coit, David W., 2019. "Economic trends and comparisons for optimizing grid-outage resilient photovoltaic and battery systems," Applied Energy, Elsevier, vol. 256(C).
    3. Castellano, Nuria Novas & Gázquez Parra, José Antonio & Valls-Guirado, Juan & Manzano-Agugliaro, Francisco, 2015. "Optimal displacement of photovoltaic array’s rows using a novel shading model," Applied Energy, Elsevier, vol. 144(C), pages 1-9.
    4. Roy, Anindita & Kedare, Shireesh B. & Bandyopadhyay, Santanu, 2010. "Optimum sizing of wind-battery systems incorporating resource uncertainty," Applied Energy, Elsevier, vol. 87(8), pages 2712-2727, August.
    5. Zakaria, A. & Ismail, Firas B. & Lipu, M.S. Hossain & Hannan, M.A., 2020. "Uncertainty models for stochastic optimization in renewable energy applications," Renewable Energy, Elsevier, vol. 145(C), pages 1543-1571.
    6. Mavromatidis, Georgios & Orehounig, Kristina & Carmeliet, Jan, 2018. "Uncertainty and global sensitivity analysis for the optimal design of distributed energy systems," Applied Energy, Elsevier, vol. 214(C), pages 219-238.
    7. Zhou, Jian & Tsianikas, Stamatis & Birnie, Dunbar P. & Coit, David W., 2019. "Economic and resilience benefit analysis of incorporating battery storage to photovoltaic array generation," Renewable Energy, Elsevier, vol. 135(C), pages 652-662.
    8. Xia, Shiwei & Chan, K.W. & Luo, Xiao & Bu, Siqi & Ding, Zhaohao & Zhou, Bin, 2018. "Optimal sizing of energy storage system and its cost-benefit analysis for power grid planning with intermittent wind generation," Renewable Energy, Elsevier, vol. 122(C), pages 472-486.
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