Symmetrical Spread of the Sun’s Position at the Equator

A Potential for Optimum with Diverse Access

Authors

  • Budi Rudianto Department of Architecture, Faculty of Engineering, Universitas Tridinanti, Jl. Kapten Marzuki No. 2446, Palembang 30129, Indonesia.

DOI:

https://doi.org/10.51646/jsesd.v14i1.227

Keywords:

Angular coordinate, latitude, opposite orientations, simulation calculation, solar declination angle.

Abstract

Buildings that use renewable energy sources, such as sunlight with solar collector technology, are in demand to face climate change. The position of the sun is a pivotal reference for determining the optimum of solar collectors. There are two differences in the optimum results in the equatorial region due to the different perceptions in defining the sun’s position. This study highlights the optimum orientation that is not perpendicular because it reflects the actual position that spreads at the equator. This study aims to prove the sun’s position that spreads in the equatorial region and to show the optimum potential with varied accesses. The investigation is conducted through the angular coordinates of altitude and azimuth. The methodology used is simulation calculation and descriptive analysis by comparison. The simulation calculation uses SunEarthTools.com, based on equations from astronomical algorithms by Michalsky. The validation uses the NOAA Solar Position Calculator, based on equations from astronomical algorithms by Meeus. The targets of the study are to make a profile of the performance of the sun’s position and a profile of the opportunity for the sloped surfaces to accept access. The sun-earth relationship and the season period are the factors that cause differences in the angular range of the sun’s position for each latitude zone. The results prove that the equatorial region has a more spacious range of orientation and a relatively balanced high of elevation in the four main cardinal directions than other regions. The highest points occur twice during the equinoxes for the balanced position between the east and west orientations, and the farthest points happen in the summer solstices for the balanced position between the north and south orientations. The spreading position allows two low-inclined surfaces facing opposite orientations to be exposed simultaneously for long periods, especially in the equinoxes. This study contributes a theoretical insight into the optimum at the equator that has potency for optimum with diverse access.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

IPCC, “9-Buildings,” in Climate Change 2022: Mitigation of climate change. Cambridge: Cambridge University Press, 2022, pp. 953–1048, doi: 10.1017/9781009157926.011. DOI: https://doi.org/10.1017/9781009157926.011

N. P. Hariram, K. B. Mekha, V. Suganthan, and K. Sudhakar, “Sustainalism: An integrated socio-economic-environmental model to address sustainable development and sustainability,” Sustain., vol. 15, no. 13, p. 10682, 2023, doi: 10.3390/su151310682. DOI: https://doi.org/10.3390/su151310682

M. Soroush and Y. Hajimolana, “Sunlight harvesting,” Comput. Chem. Eng., vol. 170, p. 108103, 2023, doi: 10.1016/j.compchemeng.2022.108103. DOI: https://doi.org/10.1016/j.compchemeng.2022.108103

T. Guney, “Solar energy, governance and CO2 emissions,” Renew. Energy, vol. 184, pp. 791–798, 2022, doi: 10.1016/j.renene.2021.11.124. DOI: https://doi.org/10.1016/j.renene.2021.11.124

J. A. Duffie, W. A. Beckman, and N. Blair, Solar engineering of thermal processes, photovoltaics and wind. New Jersey: John Wiley & Sons, 2020, doi: 10.1002/9781119540328. DOI: https://doi.org/10.1002/9781119540328

G. Y. Kim, D. S. Han, and Z. Lee, “Solar panel tilt angle optimization using machine learning model: A case study of Daegu city, South Korea,” Energies, vol. 13, p. 529, 2020, doi: 10.3390/en13030529. DOI: https://doi.org/10.3390/en13030529

S. Sevik, A. Kocer, H. Ince, and F. E. Tombus, “Determination of optimum tilt angle of the solar collector and evaluation of the position of the existing buildings in terms of solar potential,” Archit. Eng. Des. Manag., vol. 18, no. 6, pp. 812–828, 2022, doi: 10.1080/17452007.2021.1926899. DOI: https://doi.org/10.1080/17452007.2021.1926899

M. M. Cabral, S. A. Lemes, M. E. de Oliveira, P. H. A. Silva e Silva, and G. P. Viajante, “Software for calculating the optimum tilt angle of PV modules in different latitudes of the southern hemisphere and solar plant sizing,” Renew Energy Power Qual J., vol. 19, pp. 304–309, 2021, doi: 10.24084/repqj19.282. DOI: https://doi.org/10.24084/repqj19.282

M. E. Matius et al., “On the optimal tilt angle and orientation of an on-site solar photovoltaic energy generation system for sabah’s rural electrification,” Sustain., vol. 13, no. 10, p. 5730, 2021, doi: 10.3390/su13105730. DOI: https://doi.org/10.3390/su13105730

H. O. Njoku, U. G. Azubuike, E. C. Okoroigwe, and O. V. Ekechukwu, “Tilt angles for optimizing energy reception by fixed and periodically adjusted solar-irradiated surfaces in Nigeria,” Int. J. Energy Water Resour., vol. 4, no. 4, pp. 437–452, 2020, doi: 10.1007/s42108-020-00072-7. DOI: https://doi.org/10.1007/s42108-020-00072-7

A. Afandi, M. D. Birowosuto, and K. C. Sembiring, “Energy-yield assessment based on the orientations and the inclinations of the solar photovoltaic rooftop mounted in Jakarta, Indonesia,” Int. J. Adv. Sci. Eng. Inf. Technol., vol. 12, no. 2, pp. 470–476, 2022, doi: 10.18517/ijaseit.12.2.14812. DOI: https://doi.org/10.18517/ijaseit.12.2.14812

I. B. K. Sugirianta, I. G. A. M. Sunaya, and I. G. N. A. D Saputra, “Optimization of tilt angle on-grid 300Wp PV plant model at Bukit Jimbaran Bali,” J. Phys. Conf. Ser., vol. 1450, p. 012135, 2020, doi: 10.1088/1742-6596/1450/1/012135. DOI: https://doi.org/10.1088/1742-6596/1450/1/012135

X. Serrano-Guerrero, D. Alvarez-Lozano, and S. F. L. Romero, “Influence of local climate on the tilt and orientation angles in fixed flat surfaces to maximize the capture of solar irradiation: A case study in Cuenca-Ecuador,” in IEEE International Autumn Meeting on Power, Electronics and Computing, Ixtapa, Mexico, 13–15 November 2019, pp. 91–96, doi: 10.1109/ROPEC48299.2019.9057102. DOI: https://doi.org/10.1109/ROPEC48299.2019.9057102

Y. S. Khoo et al., “Optimal orientation and tilt angle for maximizing in-plane solar irradiation for PV applications in Singapore,” IEEE J. Photovoltaics, vol. 4, no. 2, pp. 647–653, 2014, doi: 10.1109/JPHOTOV.2013.2292743. DOI: https://doi.org/10.1109/JPHOTOV.2013.2292743

S. Bari, “Optimum orientation of domestic solar water heaters for the low latitude countries,” Energy Convers. Manag., vol. 42, no. 10, pp. 1205–1214, 2001, doi: 10.1016/S0196-8904(00)00135-7. DOI: https://doi.org/10.1016/S0196-8904(00)00135-7

K. Y. Lau, C. W. Tan, and A. H. M. Yatim, “Effects of ambient temperatures, tilt angles, and orientations on hybrid photovoltaic/diesel systems under equatorial climates,” Renew. Sustain. Energy Rev., vol. 81, no. 2, pp. 2625–2636, 2018, doi: 10.1016/j.rser.2017.06.068. DOI: https://doi.org/10.1016/j.rser.2017.06.068

J. Cronemberger, E. Caamano-Martin, and S. V. Sanchez, “Assessing the solar irradiation potential for solar photovoltaic applications in buildings at low latitudes - Making the case for Brazil,” Energy Build., vol. 55, pp. 264–272, 2012, doi: 10.1016/j.enbuild.2012.08.044. DOI: https://doi.org/10.1016/j.enbuild.2012.08.044

K. E. N’Tsoukpoe, “Effect of orientation and tilt angles of solar collectors on their performance: Analysis of the relevance of general recommendations in the West and Central African context,” Sci. African, vol. 15, p. e01069, 2022, doi: 10.1016/j.sciaf.2021.e01069. DOI: https://doi.org/10.1016/j.sciaf.2021.e01069

N. Mukisa and R. Zamora, “Optimal tilt angle for solar photovoltaic modules on pitched rooftops: A case of low latitude equatorial region,” Sustain. Energy Technol. Assessments, vol. 50, p. 101821, 2022, doi: 10.1016/j.seta.2021.101821. DOI: https://doi.org/10.1016/j.seta.2021.101821

UN. Population Division, World population prospects 2019: Highlights (ST/ESA/SER.A/423). New York: United Nations, 2019. Available: https://digitallibrary.un.org/record/3813698?ln=en&v=pdf.

UN. Department of Economic and Social Affairs, Global sustainable development report 2023: times of crisis, times of change science for accelerating transformations to sustainable development. New York: United Nations, 2023. Available: https://digitallibrary.un.org/record/4018896?ln=en&v=pdf.

G. Notton, “Solar radiation for energy applications,” in Encyclopedia of Sustainable Technologies. Amsterdam: Elsevier, 2017, pp. 339–356, doi: 10.1016/B978-0-12-409548-9.10130-7. DOI: https://doi.org/10.1016/B978-0-12-409548-9.10130-7

W. T. Grondzik and A. G. Kwok, Mechanical and electrical equipment for buildings. New York: John Wiley & Sons, 2014.

D. Y. Goswami, Principles of solar engineering. Boca Raton: CRC Press, 2022, doi: 10.1201/9781003244387. DOI: https://doi.org/10.1201/9781003244387

A. M. Nobre, “Short-term solar irradiance forecasting and photovoltaic systems performance in a tropical climate in Singapore”, Dr. Eng. dissertation, Universidade Federal de Santa Catarina, Florianopolis, Brazil, 2015, doi: 10.13140/RG.2.1.2195.3683.

S. V. Szokolay, Introduction to architectural science: The basis of sustainable design. New York: Routledge, 2014, doi: 10.4324/9781315852409. DOI: https://doi.org/10.4324/9781315852409

mydarksky.org, Solstices and equinoxes. [Online]. Available: https://mydarksky.org/2009/12/22/solstices-and-equinoxes/. [Accessed: Aug. 26, 2022].

J. Henry, “Tropical and equatorial climates,” in Encyclopedia of world climatology. Dordrecht: Springer, 2005, pp. 742–750, doi: 10.1007/1-4020-3266-8_212. DOI: https://doi.org/10.1007/1-4020-3266-8_212

SunEarthTools.com, SunEarthTools.com-Tools for consumers and designers of solar. [Online]. Available: https://www.sunearthtools.com. [Accessed: Apr. 22, 2022].

J. J. Michalsky, “The Astronomical Almanac's algorithm for approximate solar position (1950–2050),” Sol. Energy, vol. 40, no. 3, pp. 227–235, 1988, doi: 10.1016/0038-092X(88)90045-X. DOI: https://doi.org/10.1016/0038-092X(88)90045-X

GML-NOAA, Solar calculation details. [Online]. Available: https://gml.noaa.gov/grad/solcalc/calcdetails.html. [Accessed: Dec. 27, 2023].

J. Meeus, Astronomical Algorithms, Richmond, VA: Willmann-Bell, Inc., 1998.

F. R. Shapiro, “The position of the sun based on a simplified model,” Renew. Energy, vol. 184, pp. 176–181, 2022, doi: 10.1016/j.renene.2021.11.084. DOI: https://doi.org/10.1016/j.renene.2021.11.084

A. Jenkins, “The Sun’s position in the sky,” Eur. J. Phys., vol. 34, no. 3, p. 633, 2013, doi: 10.1088/0143-0807/34/3/633. DOI: https://doi.org/10.1088/0143-0807/34/3/633

T. P. Chang, “The Sun’s apparent position and the optimal tilt angle of a solar collector in the northern hemisphere,” Sol. Energy, vol. 83, no. 8, pp. 1274–1284, 2009, doi: 10.1016/j.solener.2009.02.009. DOI: https://doi.org/10.1016/j.solener.2009.02.009

H. S. Choi, “Architectural experiment design of solar energy harvesting: A kinetic façade system for educational facilities,” Appl. Sci., vol. 12, no. 12, p. 5853, 2022, doi: 10.3390/app12125853. DOI: https://doi.org/10.3390/app12125853

J. A. Qadourah, A. Alfalahat, and S. Alrwashdeh, “Assessment of solar photovoltaics potential installation into multi-family building’s envelope in Amman, Jordan,” Cogent Eng., vol. 9, no. 1, p. 2082059, 2022, doi: 10.1080/23311916.2022.2082059. DOI: https://doi.org/10.1080/23311916.2022.2082059

J. Balter, G. Barea, and C. Ganem, “Improvements in the energy performance of buildings in summer, through the integration of ventilated envelopes on north-facing facades and roofs. The case of Mendoza, Argentina,” Habitat Sustentable, vol. 10, no. 2, pp. 94–105, 2020, doi: 10.22320/07190700.2020.10.02.07. DOI: https://doi.org/10.22320/07190700.2020.10.02.07

S. Yang, A. Cannavale, A. D. Carlo, D. K. Prasad, A. Sproul, and F. Fiorito, “Performance assessment of BIPV/T double-skin façade for various climate zones in Australia: Effects on energy consumption,” Sol. Energy, vol. 199, pp. 377–399, 2020, doi: 10.1016/j.solener.2020.02.044. DOI: https://doi.org/10.1016/j.solener.2020.02.044

Downloads

Published

2025-01-08

How to Cite

Rudianto, B. (2025). Symmetrical Spread of the Sun’s Position at the Equator: A Potential for Optimum with Diverse Access. Solar Energy and Sustainable Development Journal, 14(1), 56–73. https://doi.org/10.51646/jsesd.v14i1.227

Issue

Section

Articles