IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p938-d1066118.html
   My bibliography  Save this article

Optimal Orientation of Solar Panels for Multi-Apartment Buildings

Author

Listed:
  • Sungha Yoon

    (Institute of Mathematical Sciences, Ewha Womans University, Seoul 03760, Republic of Korea)

  • Jintae Park

    (Department of Mathematics, Korea University, Seoul 02841, Republic of Korea)

  • Chaeyoung Lee

    (Department of Mathematics, Korea University, Seoul 02841, Republic of Korea)

  • Sangkwon Kim

    (Department of Mathematics, Korea University, Seoul 02841, Republic of Korea)

  • Yongho Choi

    (Department of Computer & Information Engineering, Daegu University, Gyeongsan-si 38453, Republic of Korea)

  • Soobin Kwak

    (Department of Mathematics, Korea University, Seoul 02841, Republic of Korea)

  • Hyundong Kim

    (Department of Mathematics, Gangneung-Wonju National University, Gangneung 25457, Republic of Korea)

  • Junseok Kim

    (Department of Mathematics, Korea University, Seoul 02841, Republic of Korea)

Abstract

In this paper, we present a mathematical algorithm for the optimal orientation of solar panels for multi-apartment buildings. Currently, photovoltaic power generation has increasingly become an effective method. It has the advantage of not causing environmental pollution; however, it has the disadvantage of relatively low power generation efficiency. To increase the power efficiency of the panel, one can consider a rotation. However, if there is a limitation to the rotation angle of the solar panel, especially in multi-apartment buildings, it is desirable to install the panel at the optimal angle under given constraints. Therefore, we present a simple and practical method to evaluate the optimal installation angle of the panel. Using the proposed method, it is easy to find an optimal installation angle to achieve the best power generation efficiency based on the latitude and azimuth angles. To demonstrate the effectiveness of the proposed algorithm, several numerical simulation results are provided.

Suggested Citation

  • Sungha Yoon & Jintae Park & Chaeyoung Lee & Sangkwon Kim & Yongho Choi & Soobin Kwak & Hyundong Kim & Junseok Kim, 2023. "Optimal Orientation of Solar Panels for Multi-Apartment Buildings," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:938-:d:1066118
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/938/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/4/938/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Benghanem, M., 2011. "Optimization of tilt angle for solar panel: Case study for Madinah, Saudi Arabia," Applied Energy, Elsevier, vol. 88(4), pages 1427-1433, April.
    2. Oh, Myeongchan & Kim, Jin-Young & Kim, Boyoung & Yun, Chang-Yeol & Kim, Chang Ki & Kang, Yong-Heack & Kim, Hyun-Goo, 2021. "Tolerance angle concept and formula for practical optimal orientation of photovoltaic panels," Renewable Energy, Elsevier, vol. 167(C), pages 384-394.
    3. Le Roux, W.G., 2016. "Optimum tilt and azimuth angles for fixed solar collectors in South Africa using measured data," Renewable Energy, Elsevier, vol. 96(PA), pages 603-612.
    4. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    5. Lave, Matthew & Kleissl, Jan, 2011. "Optimum fixed orientations and benefits of tracking for capturing solar radiation in the continental United States," Renewable Energy, Elsevier, vol. 36(3), pages 1145-1152.
    6. Gi Yong Kim & Doo Sol Han & Zoonky Lee, 2020. "Solar Panel Tilt Angle Optimization Using Machine Learning Model: A Case Study of Daegu City, South Korea," Energies, MDPI, vol. 13(3), pages 1-13, January.
    7. Hartner, Michael & Ortner, André & Hiesl, Albert & Haas, Reinhard, 2015. "East to west – The optimal tilt angle and orientation of photovoltaic panels from an electricity system perspective," Applied Energy, Elsevier, vol. 160(C), pages 94-107.
    8. Firozjaei, Mohammad Karimi & Nematollahi, Omid & Mijani, Naeim & Shorabeh, Saman Nadizadeh & Firozjaei, Hamzeh Karimi & Toomanian, Ara, 2019. "An integrated GIS-based Ordered Weighted Averaging analysis for solar energy evaluation in Iran: Current conditions and future planning," Renewable Energy, Elsevier, vol. 136(C), pages 1130-1146.
    9. Gökmen, Nuri & Hu, Weihao & Hou, Peng & Chen, Zhe & Sera, Dezso & Spataru, Sergiu, 2016. "Investigation of wind speed cooling effect on PV panels in windy locations," Renewable Energy, Elsevier, vol. 90(C), pages 283-290.
    10. Chinchilla, Monica & Santos-Martín, David & Carpintero-Rentería, Miguel & Lemon, Scott, 2021. "Worldwide annual optimum tilt angle model for solar collectors and photovoltaic systems in the absence of site meteorological data," Applied Energy, Elsevier, vol. 281(C).
    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. Faris E. Alfaris & Faris Almutairi, 2024. "Performance Assessment User Interface to Enhance the Utilization of Grid-Connected Residential PV Systems," Sustainability, MDPI, vol. 16(5), pages 1-26, February.

    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. Chinchilla, Monica & Santos-Martín, David & Carpintero-Rentería, Miguel & Lemon, Scott, 2021. "Worldwide annual optimum tilt angle model for solar collectors and photovoltaic systems in the absence of site meteorological data," Applied Energy, Elsevier, vol. 281(C).
    2. Kaddoura, Tarek O. & Ramli, Makbul A.M. & Al-Turki, Yusuf A., 2016. "On the estimation of the optimum tilt angle of PV panel in Saudi Arabia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 65(C), pages 626-634.
    3. Oh, Myeongchan & Kim, Jin-Young & Kim, Boyoung & Yun, Chang-Yeol & Kim, Chang Ki & Kang, Yong-Heack & Kim, Hyun-Goo, 2021. "Tolerance angle concept and formula for practical optimal orientation of photovoltaic panels," Renewable Energy, Elsevier, vol. 167(C), pages 384-394.
    4. Guglielmina Mutani & Valeria Todeschi, 2021. "Optimization of Costs and Self-Sufficiency for Roof Integrated Photovoltaic Technologies on Residential Buildings," Energies, MDPI, vol. 14(13), pages 1-25, July.
    5. Dey, Sumon & Lakshmanan, Madan Kumar & Pesala, Bala, 2018. "Optimal solar tree design for increased flexibility in seasonal energy extraction," Renewable Energy, Elsevier, vol. 125(C), pages 1038-1048.
    6. Hafez, A.Z. & Soliman, A. & El-Metwally, K.A. & Ismail, I.M., 2017. "Tilt and azimuth angles in solar energy applications – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 147-168.
    7. Ramez Abdallah & Emad Natsheh & Adel Juaidi & Sufyan Samara & Francisco Manzano-Agugliaro, 2020. "A Multi-Level World Comprehensive Neural Network Model for Maximum Annual Solar Irradiation on a Flat Surface," Energies, MDPI, vol. 13(23), pages 1-31, December.
    8. Ullah, Asad & Imran, Hassan & Maqsood, Zaki & Butt, Nauman Zafar, 2019. "Investigation of optimal tilt angles and effects of soiling on PV energy production in Pakistan," Renewable Energy, Elsevier, vol. 139(C), pages 830-843.
    9. Genqiang Xian & Zhiyin Duan & Keqin Shan & Xuelin Dong, 2024. "Energy-Saving Potential of Building-Integrated Photovoltaic Technology Applied to a Library in Changsha, China," Sustainability, MDPI, vol. 16(21), pages 1-21, November.
    10. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    11. Gönül, Ömer & Yazar, Fatih & Duman, A. Can & Güler, Önder, 2022. "A comparative techno-economic assessment of manually adjustable tilt mechanisms and automatic solar trackers for behind-the-meter PV applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    12. Ronewa Collen Nemalili & Lordwell Jhamba & Joseph Kiprono Kirui & Caston Sigauke, 2023. "Nowcasting Hourly-Averaged Tilt Angles of Acceptance for Solar Collector Applications Using Machine Learning Models," Energies, MDPI, vol. 16(2), pages 1-19, January.
    13. Agrawal, Monika & Chhajed, Priyank & Chowdhury, Amartya, 2022. "Performance analysis of photovoltaic module with reflector: Optimizing orientation with different tilt scenarios," Renewable Energy, Elsevier, vol. 186(C), pages 10-25.
    14. Huang, Lin & Song, Zihao & Dong, Qichang & Song, Ye & Zhao, Xiaoqing & Qi, Jiacheng & Shi, Long, 2024. "Surface temperature and power generation efficiency of PV arrays with various row spacings: A full-scale outdoor experimental study," Applied Energy, Elsevier, vol. 367(C).
    15. Kafka, Jennifer & Miller, Mark A., 2020. "The dual angle solar harvest (DASH) method: An alternative method for organizing large solar panel arrays that optimizes incident solar energy in conjunction with land use," Renewable Energy, Elsevier, vol. 155(C), pages 531-546.
    16. Dragos Machidon & Marcel Istrate, 2023. "Tilt Angle Adjustment for Incident Solar Energy Increase: A Case Study for Europe," Sustainability, MDPI, vol. 15(8), pages 1-12, April.
    17. van Vuuren, Dirk Johan & Marnewick, Annlizé & Pretorius, Jan Harm C., 2019. "A proposed simulation-based theoretical preconstruction process: The case of solar photovoltaic technology in South African shopping centres," Renewable and Sustainable Energy Reviews, Elsevier, vol. 113(C), pages 1-1.
    18. Tong Liu & Li Liu & Yufang He & Mengfei Sun & Jian Liu & Guochang Xu, 2021. "A Theoretical Optimum Tilt Angle Model for Solar Collectors from Keplerian Orbit," Energies, MDPI, vol. 14(15), pages 1-17, July.
    19. Ruan, Tianqi & Wang, Fuxing & Topel, Monika & Laumert, Björn & Wang, Wujun, 2024. "A new optimal PV installation angle model in high-latitude cold regions based on historical weather big data," Applied Energy, Elsevier, vol. 359(C).
    20. Nicolás-Martín, Carolina & Santos-Martín, David & Chinchilla-Sánchez, Mónica & Lemon, Scott, 2020. "A global annual optimum tilt angle model for photovoltaic generation to use in the absence of local meteorological data," Renewable Energy, Elsevier, vol. 161(C), pages 722-735.

    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:jmathe:v:11:y:2023:i:4:p:938-:d:1066118. 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.