Abstract
The global imperative to mitigate greenhouse gas emissions, combat air pollution, and manage escalating energy costs and demand underscores the critical role of renewable energy technologies. Solar photovoltaic (PV) systems present a viable solution by directly converting sunlight into electricity, especially for energy-intensive facilities in regions with high solar potential, such as Northwestern Ontario, Canada. The tilt angle of a PV panel is a fundamental parameter that significantly influences the amount of incident solar radiation, thereby directly affecting the system's power output and overall economic efficiency. This study employs location-specific experimental data and validated numerical modeling to determine the optimal monthly and annual tilt angles for a PV array intended to potentially power a geothermal heat pump (GHP) at the Thunder Bay Regional Health Sciences Centre located in a severe cold climate region of Northwestern Ontario. Optimizing this angle enhances efficiency, reduces operating costs, and improves the commercial viability of the hybrid system. Analysis revealed that the monthly optimal tilt angle varies from 3° in June to a maximum of 69° in December and January. The annual fixed-angle optimum is approximately 39°. Solar irradiance peaks in June at roughly 5.14 kWh/m², falling to its annual minimum in December at about 49.2% of this peak. To specifically support the GHP during its peak heating demand, a winter-optimized tilt of 67° is recommended. This configuration captures an average maximum of 3.14 kWh/m²/day during the coldest months, aligning solar energy harvest with the facility's highest heating loads. Furthermore, the site experiences a substantial variation in available solar energy hours, with monthly average daily daylight hours ranging from a low of 8.2 hours (in December) to a high of 15.8 hours (in June). The estimated annual optimum tilt angle of 39° for TBRHSC aligns with the 31°–45° range reported for similar latitudes, and the corresponding predicted solar irradiance of 3.94 kWh/m²/day shows good agreement (<7% difference) with international benchmarks. The study's primary applied contribution is the proposal of a load-specific, winter-optimized tilt of 67°—a strategic adaptation designed to enhance the technical and economic feasibility of integrated solar-GHP systems operating under the harsh climatic constraints of Northwestern Ontario.
References
Statistics Canada. Focus on Geography Series, 2021 Census of Population. Ottawa (ON): Statistics Canada; 2021 ([cited 2025 Nov 27). Available from: https://www12.statcan.gc.ca/census-recensement/2021/as-sa/fogs-spg/Page.cfm?lang=e&topic=1&dguid=2021A000535 58004
Environment and Climate Change Canada. Canadian climate normals. Government of Canada; 2025 (cited 2025 Nov 25). Available from: https://climate.weather.gc.ca/climate_normals/index_e.html
National Renewable Energy Laboratory (NREL). PVWatts calculator. Golden (CO): NREL; 2025 (cited 2025 Nov 25). Available from: https://pvwatts.nrel.gov/pvwatts.php
Thunder Bay Regional Health Sciences Centre. Energy conservation and demand management 2024–2029: 5-year plan. Thunder Bay (ON); 2024 (cited 2025 Nov 25). Available from: https://tbrhsc.net/wp-content/uploads/2024/06/Energy-Usage-Conserv-Plan-2024.pdf
Google Maps. Thunder Bay, Ontario. Google; 2025 [cited 2025 Nov 24]. Available from: https://www.google.ca/maps/place/Thunder+
Bay,+ON
Duffie JA, Beckman WA. Solar engineering of thermal processes. 2nd ed. Hoboken (NJ): John Wiley & Sons; 1991.
Al-Sulaiman FA, Ismail B. Estimation of monthly average daily and hourly solar radiation impinging on a sloped surface using the isotropic sky model for Dhahran, Saudi Arabia. Renew Energy. 1997; 11(2): 257-62. https://doi.org/10.1016/S0960-1481(96)00125-5
Shu N, Kameda N, Kishida Y, Sonoda H. Experimental and theoretical study on the optimal tilt angle of photovoltaic panels. J Asian Archit Build Eng. 2006; 5(2): 399-405. https://doi.org/10.3130/jaabe.5.399
Hailu G, Fung AS. Optimum tilt angle and orientation of photovoltaic thermal system for application in Greater Toronto. Sustainability. 2019; 11(22): 6443. https://doi.org/10.3390/su11226443
Abikoye OE, Ogumekan T, Olaboye YO. Determination of optimum tilt angle of photovoltaic solar module for each month of the year: a case study of Offa, Kwara State, Nigeria. Int J Eng Res Technol. 2015; 4(9): 246-53.
Jacobson MZ, Jadhav V. World estimates of PV optimal tilt angles and ratios of sunlight incident upon tilted and tracked PV panels relative to horizontal panels. Sol Energy. 2018; 169: 55-66. https://doi.org/10.1016/j.solener.2018.04.030
Ismail BI, Bujold J. 10 kW solar photovoltaic grid-connected system installed in Fort Frances, Northern Ontario, Canada. In: Proc Int Conf Innovative Technologies; 2015; Dubrovnik, Croatia.
Khan FT, Rashid MN, Alif KMO, Huda ASN. A data-driven approach for comparative estimation of solar PV output in Dhaka using various tilt angle optimization techniques. In: Proc 27th Int Conf Dev Renew Energy Technol (ICDRET); 2024 Jan 11-13; Dhaka, Bangladesh. IEEE. https://doi.org/10.1109/ICDRET60388.2024.10503759
Heibati SM, Marefn W, Saber HH. Developing a model for predicting optimum tilt angle of a PV solar system at different geometric, physical and dynamic parameters. Adv Build Energy Res. 2021; 15(2): 179-98. https://doi.org/10.1080/17512549.2019.1684366
Nazmul RB. Calculating optimum angle for solar panels of Dhaka, Bangladesh for capturing maximum irradiation. In: Proc IEEE Int WIE Conf Electr Comput Eng (WIECON-ECE); 2017 Dec 18-19; Dehradun, India. IEEE. https://doi.org/10.1109/WIECON-ECE.2017.8468880
Manzoor HU, Aaqib SM, Manzoor T, Azeem F, Ashraf MW, Manzoor S. Effect of optimized tilt angle of PV modules on solar irradiance for residential and commercial buildings in different cities of Pakistan: simulation-based studies. Energy Sci Eng. 2025; 13: 1831-45. https://doi.org/10.1002/ese3.70004
Issaq SZ, Talal SK, Azooz AA. Empirical modeling of optimum tilt angle for flat solar collectors and PV panels. Environ Sci Pollut Res Int. 2023; 30: 81250-66. https://doi.org/10.1007/s11356-023-28142-3
Alqaed S, Mustafa J, Almehmadi FA, Jamil B. Estimation of ideal tilt angle for solar-PV panel surfaces facing south: a case study for Najran city, Saudi Arabia. J Therm Anal Calorim. 2023; 148: 8641-54. https://doi.org/10.1007/s10973-022-11812-8
Teyabeen AA, Mohamed F. Estimation of the optimum tilt angle of solar PV panels to maximize incident solar radiation in Libya. Energies. 2024; 17: 5891. https://doi.org/10.3390/en17235891
Haider N, Milcarek RJ, Miller CA, Stechel EB. Impact of panel tilt angle and tracking configuration on solar PV and energy storage capacity for carbon-neutral grid in Arizona. Energies. 2025; 18: 4974. https://doi.org/10.3390/en18184974
Melhem R, Shaker Y, Mazen Ali Mazen F, Abou-Elnour A. Investigation of the optimum solar insolation for PV systems considering the effect of tilt angle and ambient temperature. Energies. 2025; 18: 5257. https://doi.org/10.3390/en18195257
Lu N, Qin J. Optimization of tilt angle for PV in China with long-term hourly surface solar radiation. Renew Energy. 2024; 229: 120741. https://doi.org/10.1016/j.renene.2024.120741
Mansour RB, Khan MAM, Alsulaiman FA, Mansour RB. Optimizing the solar PV tilt angle to maximize the power output: a case study for Saudi Arabia. IEEE Access. 2021; 9: 3052933. https://doi.org/10.1109/ACCESS.2021.3052933
Khan TMY, Elahi M, Soudagar MSM, Kanchan M, Afzal A, Banapurmath NR, et al. Optimum location and influence of tilt angle on performance of solar PV panels. J Therm Anal Calorim. 2020; 141: 511-32. https://doi.org/10.1007/s10973-019-09089-5
Ahmed HM, Calucag LS, Alqahtani H, Noaman NM, Ismail ZM, Alhawi OA. Seasonal analysis of PV performance: optimizing fixed panel angles for maximum efficiency. In: Proc IEEE 9th Int Conf Eng Technol Appl Sci (ICETAS); 2024 Dec 18-20; Istanbul, Turkey. IEEE. https://doi.org/10.1109/ICETAS62372.2024.11120030
Kyranaki N, Kaaya I, Hameed MA, Morlier A, Daenen M. The influence of incidence angle on the reliability of photovoltaic modules: lessons learned. Sol RRL. 2025; 9: 202500477. https://doi.org/10.1002/solr.202500477
Balal A, Dallas T. The influence of tilt angle on output for a residential 4 kW solar PV system. In: Proc IEEE 4th Int Conf Power Energy Appl (ICPEA); 2021 Oct 22-25; Virtual conference. IEEE. https://doi.org/10.1109/ICPEA52760.2021.9639262
Calabrò E. An algorithm to determine the optimum tilt angle of a solar panel from global horizontal solar radiation. J Renew Energy. 2013; 2013: 307547.https://doi.org/10.1155/2013/307547
Bakirci K. General models for optimum tilt angles of solar panels: Turkey case study. Renew Sustain Energy Rev. 2012; 16: 6149-59. https://doi.org/10.1016/j.rser.2012.07.009
Benghanem M. Optimization of tilt angle for solar panel: case study for Madinah, Saudi Arabia. Appl Energy. 2011; 88: 1427-33. https://doi.org/10.1016/j.apenergy.2010.10.001
Elhab BR, Sopian K, Mat S, Lim CH, Sulaiman MY, Ruslan MH, et al. Optimizing tilt angles and orientations of solar panels for Kuala Lumpur, Malaysia. Sci Res Essays. 2012; 7(42): 3758-65.
Siraki AG, Pillay P. Study of optimum tilt angles for solar panels in different latitudes for urban applications. Sol Energy. 2012; 86: 1920-28. https://doi.org/10.1016/j.solener.2012.02.030
Memme S, Fossa M, Rousse D. Best tilt of PV system in Canada: effect of the sky radiation model and climate conditions. Renew Energy. 2025; 254: 123716. https://doi.org/10.1016/j.renene.2025.123716
Rowlands IH, Kemery BP, Beausoleil-Morrison I. Optimal solar-PV tilt and azimuth: an Ontario (Canada) case study. Energy Policy. 2011; 39: 1397-409. https://doi.org/10.1016/j.enpol.2010.12.012
Krishna Y, Karinka S, Fauzan MF, Manihalla PP. An experimental and mathematical investigation of optimal tilt angle and effects of reflectors on PV energy production. MATEC Web Conf. 2021; 335: 03020. https://doi.org/10.1051/matecconf/202133503020
Kaldellis J, Kavadias K, Zafirakis D. Experimental validation of the optimum photovoltaic panels’ tilt angle for remote consumers. Renew Energy. 2012; 46: 179-91. https://doi.org/10.1016/j.renene.2012.03.020
Tamoor M, Bhatti AR, Farhan M, Rasool A, Sherefa A. Optimizing tilt angle of PV modules for different locations using isotropic and anisotropic models to maximize power output. Sci Rep. 2024; 14: 30197. https://doi.org/10.1038/s41598-024-81826-9
Al Shammari SA, Karamallah AA, Aljabair S. Optimization of tilt angle and experimental study of standalone PV system for clean energy home supply in Baghdad. FME Trans. 2021; 49: 664-72. https://doi.org/10.5937/fme2103664A
Liu BYH, Jordan RC. Daily insolation on surfaces tilted toward the equator. ASHRAE J. 1962; 3(10): 53.
Klein SA. Calculation of monthly average insolation on tilted surfaces. Sol Energy. 1977; 19: 325. https://doi.org/10.1016/0038-092X(77)90001-9
Pennsylvania State University. Solar radiation on tilted surfaces. University Park (PA): Penn State; (cited 2025 Nov 20). Available from: https://www.e-education.psu.edu/eme810/node/576

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright (c) 2025 Basel I. Ismail, Anjali Nagi