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Analysis of the tilt and azimuth angles of photovoltaic systems in non-ideal positions for urban applications

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  • Barbón, A.
  • Bayón-Cueli, C.
  • Bayón, L.
  • Rodríguez-Suanzes, C.

Abstract

A professional point of view suggests that photovoltaic systems should be installed at the optimum tilt angle and orientation. However, in photovoltaic systems integrated in buildings the flexibility of installation is common. This paper is organized in two different parts. In the first one, the energy losses caused by deviations from the tilt angle (β) and the orientation (γ) of the installation in relation to the ideal position are evaluated. This work considers the cloudy-sky conditions in each locality and theoretically calculates by applying the Cavaleri’s principle, the energy losses. Ten cities around the world, in the northern hemisphere, have been studied with a MATLAB code and the findings demonstrate that non-ideal tilt and azimuth angles can also lead to acceptable levels of electric energy generation. A photovoltaic system installed in South orientation (γ=0°) and β deviations of up to 10 (°) in relation to the optimum tilt angle has a very small influence on the energy losses. The energy losses are: 5%, 10%, 15% and 20% when β deviations are respectively: 21–23 (°), 31–33 (°), 37–40 (°) and 43–47 (°). Then, in the second part, an important application of this previous outcome comes out: the best distribution of the photovoltaic modules on a flat roof of irregular shape of an urban building is achieved.The aim of this work is to maximize the amount of energy get by a photovoltaic system. This engineering problem is highly complex as it involves 10 variables: the available flat roof area, the shape and the orientation of the available flat roof area, the dimensions (length and width) of the commercial photovoltaic modules, the orientation and the position of the photovoltaic modules, the number of the photovoltaic modules, the minimum distances (maintenance operations, to avoid shadowing effects) between rows of photovoltaic modules, and the minimum distance to the terrace boundary. In this context, this work aims to present a study to assist the decision-making.

Suggested Citation

  • Barbón, A. & Bayón-Cueli, C. & Bayón, L. & Rodríguez-Suanzes, C., 2022. "Analysis of the tilt and azimuth angles of photovoltaic systems in non-ideal positions for urban applications," Applied Energy, Elsevier, vol. 305(C).
    • Handle: RePEc:eee:appene:v:305:y:2022:i:c:s0306261921011351
    DOI: 10.1016/j.apenergy.2021.117802
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    as
    1. Byrne, John & Taminiau, Job & Kurdgelashvili, Lado & Kim, Kyung Nam, 2015. "A review of the solar city concept and methods to assess rooftop solar electric potential, with an illustrative application to the city of Seoul," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 830-844.
    2. Barbón, A. & Fortuny Ayuso, P. & Bayón, L. & Fernández-Rubiera, J.A., 2020. "Predicting beam and diffuse horizontal irradiance using Fourier expansions," Renewable Energy, Elsevier, vol. 154(C), pages 46-57.
    3. Sánchez-Pantoja, Núria & Vidal, Rosario & Pastor, M. Carmen, 2018. "Aesthetic impact of solar energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 98(C), pages 227-238.
    4. Fan, Junliang & Chen, Baiquan & Wu, Lifeng & Zhang, Fucang & Lu, Xianghui & Xiang, Youzhen, 2018. "Evaluation and development of temperature-based empirical models for estimating daily global solar radiation in humid regions," Energy, Elsevier, vol. 144(C), pages 903-914.
    5. Gernaat, David E.H.J. & de Boer, Harmen-Sytze & Dammeier, Louise C. & van Vuuren, Detlef P., 2020. "The role of residential rooftop photovoltaic in long-term energy and climate scenarios," Applied Energy, Elsevier, vol. 279(C).
    6. Tomson, Teolan, 2008. "Discrete two-positional tracking of solar collectors," Renewable Energy, Elsevier, vol. 33(3), pages 400-405.
    7. Al Garni, Hassan Z. & Awasthi, Anjali & Wright, David, 2019. "Optimal orientation angles for maximizing energy yield for solar PV in Saudi Arabia," Renewable Energy, Elsevier, vol. 133(C), pages 538-550.
    8. López-Escalante, M.C. & Navarrete-Astorga, E. & Gabás Perez, M. & Ramos- Barrado, J.R. & Martín, F., 2020. "Photovoltaic modules designed for architectural integration without negative performance consequences," Applied Energy, Elsevier, vol. 279(C).
    9. Danandeh, M.A. & Mousavi G., S.M., 2018. "Solar irradiance estimation models and optimum tilt angle approaches: A comparative study," Renewable and Sustainable Energy Reviews, Elsevier, vol. 92(C), pages 319-330.
    10. Chen, X.M. & Li, Y. & Zhao, B.Y. & Wang, R.Z., 2020. "Are the optimum angles of photovoltaic systems so important?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 124(C).
    11. Amaro e Silva, R. & Brito, M.C., 2019. "Spatio-temporal PV forecasting sensitivity to modules’ tilt and orientation," Applied Energy, Elsevier, vol. 255(C).
    12. Antonanzas-Torres, F. & Urraca, R. & Polo, J. & Perpiñán-Lamigueiro, O. & Escobar, R., 2019. "Clear sky solar irradiance models: A review of seventy models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 107(C), pages 374-387.
    13. Mehleri, E.D. & Zervas, P.L. & Sarimveis, H. & Palyvos, J.A. & Markatos, N.C., 2010. "Determination of the optimal tilt angle and orientation for solar photovoltaic arrays," Renewable Energy, Elsevier, vol. 35(11), pages 2468-2475.
    14. Nsengiyumva, Walter & Chen, Shi Guo & Hu, Lihua & Chen, Xueyong, 2018. "Recent advancements and challenges in Solar Tracking Systems (STS): A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 250-279.
    15. Barbón, A. & Bayón-Cueli, C. & Bayón, L. & Ayuso, P. Fortuny, 2020. "Influence of solar tracking error on the performance of a small-scale linear Fresnel reflector," Renewable Energy, Elsevier, vol. 162(C), pages 43-54.
    16. Müller, Johannes & Folini, Doris & Wild, Martin & Pfenninger, Stefan, 2019. "CMIP-5 models project photovoltaics are a no-regrets investment in Europe irrespective of climate change," Energy, Elsevier, vol. 171(C), pages 135-148.
    17. Bahrami, Arian & Okoye, Chiemeka Onyeka & Atikol, Ugur, 2017. "Technical and economic assessment of fixed, single and dual-axis tracking PV panels in low latitude countries," Renewable Energy, Elsevier, vol. 113(C), pages 563-579.
    18. Mithhu, Md. Mahamudul Hasan & Rima, Tahmina Ahmed & Khan, M. Ryyan, 2021. "Global analysis of optimal cleaning cycle and profit of soiling affected solar panels," Applied Energy, Elsevier, vol. 285(C).
    19. Yadav, Somil & Panda, S.K. & Hachem-Vermette, Caroline, 2020. "Method to improve performance of building integrated photovoltaic thermal system having optimum tilt and facing directions," Applied Energy, Elsevier, vol. 266(C).
    20. 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).
    21. Mousazadeh, Hossein & Keyhani, Alireza & Javadi, Arzhang & Mobli, Hossein & Abrinia, Karen & Sharifi, Ahmad, 2009. "A review of principle and sun-tracking methods for maximizing solar systems output," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(8), pages 1800-1818, October.
    22. Lv, Yuexia & Si, Pengfei & Rong, Xiangyang & Yan, Jinyue & Feng, Ya & Zhu, Xiaohong, 2018. "Determination of optimum tilt angle and orientation for solar collectors based on effective solar heat collection," Applied Energy, Elsevier, vol. 219(C), pages 11-19.
    23. 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.
    24. Yang, Ying & Campana, Pietro Elia & Stridh, Bengt & Yan, Jinyue, 2020. "Potential analysis of roof-mounted solar photovoltaics in Sweden," Applied Energy, Elsevier, vol. 279(C).
    25. Salazar, Germán & Gueymard, Christian & Galdino, Janis Bezerra & de Castro Vilela, Olga & Fraidenraich, Naum, 2020. "Solar irradiance time series derived from high-quality measurements, satellite-based models, and reanalyses at a near-equatorial site in Brazil," Renewable and Sustainable Energy Reviews, Elsevier, vol. 117(C).
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