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An optical-energy model for optimizing the geometrical layout of solar photovoltaic arrays in a constrained field

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  • Rehman, Naveed ur
  • Uzair, Muhammad
  • Allauddin, Usman

Abstract

The number of rows of photovoltaic (PV) modules in a field are limited by the area available for installation. With the objective of achieving maximum solar energy collection by the modules, determining the geometric layout becomes an optimization problem that couples the tilt angle and inter-row spacing. The existing optimization methods are simplistic as they consider tilt angle and inter-row spacing as constant values for all rows. This paper presents an optical-energy model for determining the optimal geometrical layouts of PV arrays by considering different tilt angles and row spacings for every row, given a field constraint. It is comprised of two sub-models: (i) an optical sub-model that determines mutual shading and (ii) an energy sub-model that evaluates the yearly solar energy collection. Optimization was performed by proposing random layouts for the model and using the one that yielded the maximum yearly collection. A situation in which the proposed model can be used as a powerful tool for optimization is explained via a case study conducted in Auckland, New Zealand. The effects of maintaining either a constant tilt angle or a safe row-spacing on year-round performance are investigated.

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  • Rehman, Naveed ur & Uzair, Muhammad & Allauddin, Usman, 2020. "An optical-energy model for optimizing the geometrical layout of solar photovoltaic arrays in a constrained field," Renewable Energy, Elsevier, vol. 149(C), pages 55-65.
    • Handle: RePEc:eee:renene:v:149:y:2020:i:c:p:55-65
    DOI: 10.1016/j.renene.2019.12.040
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    1. Copper, J.K. & Sproul, A.B. & Bruce, A.G., 2016. "A method to calculate array spacing and potential system size of photovoltaic arrays in the urban environment using vector analysis," Applied Energy, Elsevier, vol. 161(C), pages 11-23.
    2. 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.
    3. Kacira, Murat & Simsek, Mehmet & Babur, Yunus & Demirkol, Sedat, 2004. "Determining optimum tilt angles and orientations of photovoltaic panels in Sanliurfa, Turkey," Renewable Energy, Elsevier, vol. 29(8), pages 1265-1275.
    4. Yakup, Mohd Azmi bin Hj Mohd & Malik, A.Q, 2001. "Optimum tilt angle and orientation for solar collector in Brunei Darussalam," Renewable Energy, Elsevier, vol. 24(2), pages 223-234.
    5. Chang, Ying-Pin, 2010. "Optimal the tilt angles for photovoltaic modules using PSO method with nonlinear time-varying evolution," Energy, Elsevier, vol. 35(5), pages 1954-1963.
    6. 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.
    7. Kamran Ali Khan Niazi & Yongheng Yang & Mashood Nasir & Dezso Sera, 2019. "Evaluation of Interconnection Configuration Schemes for PV Modules with Switched-Inductor Converters under Partial Shading Conditions," Energies, MDPI, vol. 12(14), pages 1-12, July.
    8. d'Alessandro, Vincenzo & Di Napoli, Fabio & Guerriero, Pierluigi & Daliento, Santolo, 2015. "An automated high-granularity tool for a fast evaluation of the yield of PV plants accounting for shading effects," Renewable Energy, Elsevier, vol. 83(C), pages 294-304.
    9. Armstrong, S. & Hurley, W.G., 2010. "A new methodology to optimise solar energy extraction under cloudy conditions," Renewable Energy, Elsevier, vol. 35(4), pages 780-787.
    10. Appelbaum, J., 2016. "Bifacial photovoltaic panels field," Renewable Energy, Elsevier, vol. 85(C), pages 338-343.
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    1. Rehman, Naveed ur & Uzair, Muhammad, 2022. "Concentrator shape optimization using particle swarm optimization for solar concentrating photovoltaic applications," Renewable Energy, Elsevier, vol. 184(C), pages 1043-1054.
    2. Alharbi, Abdulaziz & Awwad, Zeyad & Habib, Abdulelah & de Weck, Olivier, 2023. "Economical sizing and multi-azimuth layout optimization of grid-connected rooftop photovoltaic systems using Mixed-Integer Programming," Applied Energy, Elsevier, vol. 335(C).
    3. Manoel Henriques de Sá Campos & Chigueru Tiba, 2021. "npTrack: A n-Position Single Axis Solar Tracker Model for Optimized Energy Collection," Energies, MDPI, vol. 14(4), pages 1-13, February.
    4. 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.
    5. Sohani, Ali & Sayyaadi, Hoseyn, 2020. "Providing an accurate method for obtaining the efficiency of a photovoltaic solar module," Renewable Energy, Elsevier, vol. 156(C), pages 395-406.
    6. Rehman, Naveed ur & Uzair, Muhammad & Asif, Muhammad, 2020. "Evaluating the solar flux distribution uniformity factor for parabolic trough collectors," Renewable Energy, Elsevier, vol. 157(C), pages 888-896.

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