Submitted:
06 January 2024
Posted:
08 January 2024
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Abstract
Keywords:
1. Introduction
2. Methodology
3. Numerical Simulation
3.1. Computation Domain and Flow Conditions
3.1.1. Geometrical Models
3.1.1. Wind Load
3.1.1. Boundary Conditions
3.2. Numerical Model
3.2.1. Computational Scheme
3.2.2. Domain Discretisation
3.3. Result Validation
4. Results and Discussion
4.1. Effects of Wind Velocity
4.2. Effect of Tilt Angle
4.3. Effect of Panel Scale Factor
4.4. Effect of Panel Aspect Ratio
4.5. Aerodynamic of MSPT
5. Conclusion
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
- Jacobson, M.Z.; Delucchi, M.A.; Bauer, Z.A.F.; Goodman, S.C.; Chapman, W.E.; Came7ron, M.A.; Bozonnat, C.; Chobadi, L.; Clonts, H.A.; Enevoldsen, P.; et al. 100% Clean and Renewable Wind, Water, and Sunlight All-Sector Energy Roadmaps for 139 Countries of the World. Joule 2017, 1, 108–121. [Google Scholar] [CrossRef]
- Yemenici, O.; Aksoy, M.O. An Experimental and Numerical Study of Wind Effects on a Ground-Mounted Solar Panel at Different Panel Tilt Angles and Wind Directions. Journal of Wind Engineering and Industrial Aerodynamics 2021, 213, 104630. [Google Scholar] [CrossRef]
- Peng, H.Y.; Dai, S.F.; Liu, H.J. Wind Loading Characteristics and Roof Zoning of Solar Arrays Mounted on Flat-Roofed Tall Buildings. Journal of Building Engineering 2023, 66, 105823. [Google Scholar] [CrossRef]
- Stathopoulos, T.; Zisis, I.; Xypnitou, E. Local and Overall Wind Pressure and Force Coefficients for Solar Panels. Journal of Wind Engineering and Industrial Aerodynamics 2014, 125, 195–206. [Google Scholar] [CrossRef]
- Su, K.-C.; Chung, P.-H.; Yang, R.-Y. Numerical Simulation of Wind Loads on An Offshore PV Panel: The Effect of Wave Angle. Journal of Mechanics 2020, 37, 53–62. [Google Scholar] [CrossRef]
- You, J.; Lim, M.; You, K.; Lee, C. Wind Coefficient Distribution of Arranged Ground Photovoltaic Panels. Sustainability 2021, 13, 3944. [Google Scholar] [CrossRef]
- Browne, M.T.L.; Taylor, Z.J.; Li, S.; Gamble, S. A Wind Load Design Method for Ground-Mounted Multi-Row Solar Arrays Based on a Compilation of Wind Tunnel Experiments. Journal of Wind Engineering and Industrial Aerodynamics 2020, 205, 104294. [Google Scholar] [CrossRef]
- International Code Council (ICC). 2021 International Building Code (IBC); International Code Council, INC: Country Club Hills, 2022. [Google Scholar]
- American Society of Civil Engineers. Minimum Design Loads and Associated Criteria for Buildings and Other Structures; American Society of Civil Engineers: Reston, VA, 2021; ISBN 9780784415788. [Google Scholar]
- Naeiji, A.; Raji, F.; Zisis, I. Wind Loads on Residential Scale Rooftop Photovoltaic Panels. Journal of Wind Engineering and Industrial Aerodynamics 2017, 168, 228–246. [Google Scholar] [CrossRef]
- Stenabaugh, S.E.; Iida, Y.; Kopp, G.A.; Karava, P. Wind Loads on Photovoltaic Arrays Mounted Parallel to Sloped Roofs on Low-Rise Buildings. Journal of Wind Engineering and Industrial Aerodynamics 2015, 139, 16–26. [Google Scholar] [CrossRef]
- Wang, Z.Y.; Plate, E.J.; Rau, M.; Keiser, R. Scale Effects in Wind Tunnel Modelling. Journal of Wind Engineering and Industrial Aerodynamics 1996, 61, 113–130. [Google Scholar] [CrossRef]
- Aly, A.M.; Bitsuamlak, G. Aerodynamics of Ground-Mounted Solar Panels: Test Model Scale Effects. Journal of Wind Engineering and Industrial Aerodynamics 2013, 123, 250–260. [Google Scholar] [CrossRef]
- Khan, A.K.; Shah, T.R.; Khosa, A.A.; Ali, H.M. Evaluation of Wind Load Effects on Solar Panel Support Frame: A Numerical Study. Eng Anal Bound Elem 2023, 153, 88–101. [Google Scholar] [CrossRef]
- Wittwer, A.R.; Podestá, J.M.; Castro, H.G.; Mroginski, J.L.; Marighetti, J.O.; De Bortoli, M.E.; Paz, R.R.; Mateo, F. Wind Loading and Its Effects on Photovoltaic Modules: An Experimental–Computational Study to Assess the Stress on Structures. Solar Energy 2022, 240, 315–328. [Google Scholar] [CrossRef]
- Adaramola, M.S.; Oyewola, O.M. On Wind Speed Pattern and Energy Potential in Nigeria. Energy Policy 2011, 39, 2501–2506. [Google Scholar] [CrossRef]
- Gesto NIGERIA RE PROJECTS: SOLAR AND WIND POTENTIAL EVALUATION Available online:. Available online: https://gestoenergy.com/nigeria-re-projects-solar-and-wind-potential-evaluation (accessed on 13 August 2023).
- Giorges, A.T.G.; Amador, G.J.; Caravati, K.; Goodman, J. Numerical Simulation of Aerodynamic Force on Solar Panels. In Proceedings of the Volume 6A: Energy; American Society of Mechanical Engineers, November 15 2013. [Google Scholar]
- Versteeg, H.K.; Malalasekera, W. An Introduction to Computational Fluid Dynamics:The Finite Volume Method, 2nd ed.; Pearson Prentice Hall: Essex, UK, 2007. [Google Scholar]
- Anderson, John.D. Computational Fluid Dynamics: The Basics with Application; McGraw-Hill: NewYork, NY, USA, 1995. [Google Scholar]
- Chorin, A.J. Numerical Solution of the Navier-Stokes Equations. Math Comput 1968, 22, 745–762. [Google Scholar] [CrossRef]
- ANSYS Inc. ANSYS Fluent 2022 R2, Computer Software. ANSYS Inc., Canonsburg. 2022. [Google Scholar]
- Fogaing, M.B.T.; Hemmati, A.; Lange, C.F.; Fleck, B.A. Performance of Turbulence Models in Simulating Wind Loads on Photovoltaics Modules. Energies (Basel) 2019, 12, 3290. [Google Scholar] [CrossRef]
- Wu, M.; Zhou, X. Study on Simulation of Wind Load Characteristics for Photovoltaic Generation Systems. Vibroengineering PROCEDIA 2020, 33, 107–112. [Google Scholar] [CrossRef]
- Su, K.-C.; Chung, K.-M.; Hsu, S.-T. Numerical Simulation of Wind Loads on Solar Panels. Modern Physics Letters B 2018, 32, 1840009. [Google Scholar] [CrossRef]
- Hoerner, S.F. Fluid-Dynamic Drag; Bakersfield, CA 93390, 1965. [Google Scholar]
















| B | Unit | ||||||
|---|---|---|---|---|---|---|---|
| Scaled panel sample (scaled 1:15) | 72 | 145 | 400 | 200 | 150 | 150 | mm |
| Full-size panel used in the MSPT | 1080 | 2140 | 4320 | 2160 | 1620 | 2140 | |
| Panel from Lit. [18] | 699 | 349 | 2794 | 1397 | 1034 | 524 |
| Empirical Constants | Turbulent Prandtl Numbers | ||||
|---|---|---|---|---|---|
| Coefficient | |||||
| Value | 0.09 | 1.44 | 1.92 | 1 | 1.3 |
| Model Number | Lift (N) | Drag (N) | |||
|---|---|---|---|---|---|
| Type 1 | 100 | 2.9 | 2,693,877 | 0.972 | 0.594 |
| Type 2 | 100 | 4.2 | 1,123,048 | 0.978 | 0.597 |
| Type 3 | 100 | 5.6 | 672,426 | 0.982 | 0.600 |
| Type 4 | 100 | 6.9 | 478,405 | 0.980 | 0.600 |
| Type 5 | 100 | 9.7 | 325,716 | 0.984 | 0.600 |
| Type 6 | 72 | 5.6 | 335,949 | 0.985 | 0.600 |
| Type 7 | 50 | 5.6 | 224,593 | 0.986 | 0.604 |
| Mean | 0.981 | 0.600 | |||
| Difference (%) | 1.42 | 1.66 | |||
| Standard Deviation | 0.005 | 0.003 | |||
| Angle of attack (degree) | Lift (Exp.) (N) | Drag (Exp.) (N) | Lift (CFD) (N) | Drag (CFD) (N) | Lift Error (%) | Drag Error (%) |
| 5 | 0.18 | 0.12 | 0.26 | 0.055 | 30.8 | 54.2 |
| 10 | 0.49 | 0.21 | 0.52 | 0.13 | 5.8 | 38.1 |
| 15 | 0.64 | 0.25 | 0.7 | 0.23 | 8.6 | 8.0 |
| 20 | 0.71 | 0.32 | 0.81 | 0.34 | 12.3 | 5.9 |
| 25 | 0.85 | 0.45 | 0.88 | 0.46 | 3.4 | 2.2 |
| 30 | 1.07 | 0.62 | 0.98 | 0.6 | 8.4 | 3.2 |
| 35 | 1.31 | 0.79 | 1.18 | 0.77 | 9.9 | 2.5 |
| Average Error (%) for angles of attack > 15 degree | 8.5 | 4.5 | ||||
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