IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v13y2021i7p3837-d527334.html
   My bibliography  Save this article

Optimal Design of Photovoltaic Connected Energy Storage System Using Markov Chain Models

Author

Listed:
  • Woo-sung Kim

    (College of Business Administration, Konkuk University, Seoul 05029, Korea)

  • Hyunsang Eom

    (School of Mechanical and Control Engineering, Handong Global University, Pohang 37554, Korea)

  • Youngsung Kwon

    (School of Mechanical and Control Engineering, Handong Global University, Pohang 37554, Korea)

Abstract

This study improves an approach for Markov chain-based photovoltaic-coupled energy storage model in order to serve a more reliable and sustainable power supply system. In this paper, two Markov chain models are proposed: Embedded Markov and Absorbing Markov chain. The equilibrium probabilities of the Embedded Markov chain completely characterize the system behavior at a certain point in time. Thus, the model can be used to calculate important measurements to evaluate the system such as the average availability or the probability when the battery is fully discharged. Also, Absorbing Markov chain is employed to calculate the expected duration until the system fails to serve the load demand, as well as the failure probability once a new battery is installed in the system. The results show that the optimal condition for satisfying the availability of 3 nines (0.999), with an average load usage of 1209.94 kWh, is the energy storage system capacity of 25 MW, and the number of photovoltaic modules is 67,510, which is considered for installation and operation cost. Also, when the initial state of charge is set to 80% or higher, the available time is stable for more than 20,000 h.

Suggested Citation

  • Woo-sung Kim & Hyunsang Eom & Youngsung Kwon, 2021. "Optimal Design of Photovoltaic Connected Energy Storage System Using Markov Chain Models," Sustainability, MDPI, vol. 13(7), pages 1-16, March.
  • Handle: RePEc:gam:jsusta:v:13:y:2021:i:7:p:3837-:d:527334
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/13/7/3837/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/13/7/3837/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abdelrazik, Ahmed S. & Al-Sulaiman, FA & Saidur, R. & Ben-Mansour, R., 2018. "A review on recent development for the design and packaging of hybrid photovoltaic/thermal (PV/T) solar systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 95(C), pages 110-129.
    2. Bernard Knutel & Anna Pierzyńska & Marcin Dębowski & Przemysław Bukowski & Arkadiusz Dyjakon, 2020. "Assessment of Energy Storage from Photovoltaic Installations in Poland Using Batteries or Hydrogen," Energies, MDPI, vol. 13(15), pages 1-16, August.
    3. Das, Choton K. & Bass, Octavian & Kothapalli, Ganesh & Mahmoud, Thair S. & Habibi, Daryoush, 2018. "Overview of energy storage systems in distribution networks: Placement, sizing, operation, and power quality," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 1205-1230.
    4. Tao, Laifa & Ma, Jian & Cheng, Yujie & Noktehdan, Azadeh & Chong, Jin & Lu, Chen, 2017. "A review of stochastic battery models and health management," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 716-732.
    5. Yang, Yuqing & Bremner, Stephen & Menictas, Chris & Kay, Merlinde, 2018. "Battery energy storage system size determination in renewable energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 109-125.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mehrdad Aslani & Hamed Hashemi-Dezaki & Abbas Ketabi, 2021. "Reliability Evaluation of Smart Microgrids Considering Cyber Failures and Disturbances under Various Cyber Network Topologies and Distributed Generation’s Scenarios," Sustainability, MDPI, vol. 13(10), pages 1-30, May.
    2. Hassan Shaban & Essam H. Houssein & Marco Pérez-Cisneros & Diego Oliva & Amir Y. Hassan & Alaa A. K. Ismaeel & Diaa Salama AbdElminaam & Sanchari Deb & Mokhtar Said, 2021. "Identification of Parameters in Photovoltaic Models through a Runge Kutta Optimizer," Mathematics, MDPI, vol. 9(18), pages 1-22, September.
    3. Arturo Y. Jaen-Cuellar & David A. Elvira-Ortiz & Roque A. Osornio-Rios & Jose A. Antonino-Daviu, 2022. "Advances in Fault Condition Monitoring for Solar Photovoltaic and Wind Turbine Energy Generation: A Review," Energies, MDPI, vol. 15(15), pages 1-36, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barra, P.H.A. & Coury, D.V. & Fernandes, R.A.S., 2020. "A survey on adaptive protection of microgrids and distribution systems with distributed generators," Renewable and Sustainable Energy Reviews, Elsevier, vol. 118(C).
    2. Nathphol Khaboot & Chitchai Srithapon & Apirat Siritaratiwat & Pirat Khunkitti, 2019. "Increasing Benefits in High PV Penetration Distribution System by Using Battery Enegy Storage and Capacitor Placement Based on Salp Swarm Algorithm," Energies, MDPI, vol. 12(24), pages 1-20, December.
    3. 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).
    4. Topalović, Zejneba & Haas, Reinhard & Ajanović, Amela & Hiesl, Albert, 2022. "Economics of electric energy storage. The case of Western Balkans," Energy, Elsevier, vol. 238(PA).
    5. El-Bidairi, Kutaiba S. & Nguyen, Hung Duc & Mahmoud, Thair S. & Jayasinghe, S.D.G. & Guerrero, Josep M., 2020. "Optimal sizing of Battery Energy Storage Systems for dynamic frequency control in an islanded microgrid: A case study of Flinders Island, Australia," Energy, Elsevier, vol. 195(C).
    6. Zhang, Chenyu & Wang, Ning & Xu, Hongtao & Fang, Yuan & Yang, Qiguo & Talkhoncheh, Fariborz Karimi, 2023. "Thermal management optimization of the photovoltaic cell by the phase change material combined with metal fins," Energy, Elsevier, vol. 263(PA).
    7. Virgilio Alfonso Murillo Rodríguez & Noé Villa Villaseñor & José Manuel Robles Solís & Omar Alejandro Guirette Barbosa, 2023. "Impact of Automation on Enhancing Energy Quality in Grid-Connected Photovoltaic Systems," Energies, MDPI, vol. 16(17), pages 1-25, August.
    8. Tomasz Jałowiec & Henryk Wojtaszek, 2021. "Analysis of the RES Potential in Accordance with the Energy Policy of the European Union," Energies, MDPI, vol. 14(19), pages 1-33, September.
    9. Peerzada, Aaqib & Hanif, Sarmad & Tarekegne, Bethel & Baldwin, Diane & Bhattacharya, Saptarshi, 2024. "On the impact of tidal generation and energy storage integration in PV-rich electric distribution systems," Applied Energy, Elsevier, vol. 357(C).
    10. Mousavi, Navid & Kothapalli, Ganesh & Habibi, Daryoush & Das, Choton K. & Baniasadi, Ali, 2020. "A novel photovoltaic-pumped hydro storage microgrid applicable to rural areas," Applied Energy, Elsevier, vol. 262(C).
    11. Li, Haoran & Zhang, Chenghui & Sun, Bo, 2021. "Optimal design for component capacity of integrated energy system based on the active dispatch mode of multiple energy storages," Energy, Elsevier, vol. 227(C).
    12. Naseri, F. & Gil, S. & Barbu, C. & Cetkin, E. & Yarimca, G. & Jensen, A.C. & Larsen, P.G. & Gomes, C., 2023. "Digital twin of electric vehicle battery systems: Comprehensive review of the use cases, requirements, and platforms," Renewable and Sustainable Energy Reviews, Elsevier, vol. 179(C).
    13. Yu, Qinghua & Chen, Xi & Yang, Hongxing, 2021. "Research progress on utilization of phase change materials in photovoltaic/thermal systems: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    14. Wilkinson, Sam & Maticka, Martin J. & Liu, Yue & John, Michele, 2021. "The duck curve in a drying pond: The impact of rooftop PV on the Western Australian electricity market transition," Utilities Policy, Elsevier, vol. 71(C).
    15. Banguero, Edison & Correcher, Antonio & Pérez-Navarro, Ángel & García, Emilio & Aristizabal, Andrés, 2020. "Diagnosis of a battery energy storage system based on principal component analysis," Renewable Energy, Elsevier, vol. 146(C), pages 2438-2449.
    16. Assoa, Y.B. & Levrard, D., 2020. "A lightweight triangular building integrated photovoltaic module," Applied Energy, Elsevier, vol. 279(C).
    17. Ghosh, Sourav & Yadav, Sarita & Devi, Ambika & Thomas, Tiju, 2022. "Techno-economic understanding of Indian energy-storage market: A perspective on green materials-based supercapacitor technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
    18. Cuenca, Juan J. & Daly, Hannah E. & Hayes, Barry P., 2023. "Sharing the grid: The key to equitable access for small-scale energy generation," Applied Energy, Elsevier, vol. 349(C).
    19. Abdalqader Ahmad & Helena Navarro & Saikat Ghosh & Yulong Ding & Jatindra Nath Roy, 2021. "Evaluation of New PCM/PV Configurations for Electrical Energy Efficiency Improvement through Thermal Management of PV Systems," Energies, MDPI, vol. 14(14), pages 1-18, July.
    20. Svetlana Drobyazko & Suparna Wijaya & Pavel Blecharz & Sergii Bogachov & Milyausha Pinskaya, 2021. "Modeling of Prospects for the Development of Regional Renewable Energy," Energies, MDPI, vol. 14(8), pages 1-17, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:13:y:2021:i:7:p:3837-:d:527334. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.