TOPOLOGY OPTIMIZATION OF A NATURAL CONVECTION HEAT SINK FOR MULTI-SOURCE LED MODULES
DOI:
https://doi.org/10.62985/j.huit_ojs.vol26.no1E.374Keywords:
Natural convection, multi-source LED module, topology optimization, density-based method.Abstract
This paper presents a Topology Optimization approach for natural convection heat sinks applied to multi-source LED modules. The density-based method combined with the Method of Moving Asymptotes (MMA) algorithm is employed to achieve an optimal material distribution within an annular design domain. Three LED heat sources are placed inside a solid non-design core region. Heat transfer is modeled as steady-state heat conduction in solids with natural convection boundary conditions. Numerical simulations are carried out using COMSOL Multiphysics. The results reveal non-conventional branched fin structures that form efficient thermal conduction paths from the LED sources to the ambient environment, demonstrating the potential of topology optimization in the design of high-performance passive cooling systems for multi-source LED modules.
References
[1] P. Morgan Pattison, M. Hansen, and J. Y. Tsao, “LED lighting efficacy: Status and directions,” Comptes Rendus Phys., vol. 19, no. 3, pp. 134–145, Dec. 2017, https://doi.org/ 10.1016/j.crhy.2017.10.013.
[2] S. Basavarajappa, G. Manavendra, and S. B. Prakash, “A review on performance study of finned tube heat exchanger,” J. Phys. Conf. Ser., vol. 1473, no. 1, p. 012030, Feb. 2020, https://doi.org/ 10.1088/1742-6596/1473/1/012030.
[3] R. Wang and J. Li, “A Cooling System with a Fan for Thermal Management of High-Power LEDs,” J. Mod. Phys., vol. 01, no. 03, pp. 196–199, 2010, https://doi.org/10.4236/jmp.2010.13029.
[4] M. P. Bendsøe and O. Sigmund, Topology Optimization. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. https://doi.org/10.1007/978-3-662-05086-6.
[5] J. Wu, O. Sigmund, and J. P. Groen, “Topology optimization of multi-scale structures: a review,” Struct. Multidiscip. Optim., vol. 63, no. 3, pp. 1455–1480, Mar. 2021, https://doi.org/10.1007/s00158-021-02881-8.
[6] M. P. Bendsøe and N. Kikuchi, “Generating optimal topologies in structural design using a homogenization method,” Comput. Methods Appl. Mech. Eng., vol. 71, no. 2, pp. 197–224, Nov. 1988, https://doi.org/10.1016/0045-7825(88)90086-2.
[7] A. Evgrafov, “The Limits of Porous Materials in the Topology Optimization of Stokes Flows,” Appl. Math. Optim., vol. 52, no. 3, pp. 263–277, Oct. 2005, https://doi.org/10.1007/s00245-005-0828-z.
[8] L. C. Høghøj, D. R. Nørhave, J. Alexandersen, O. Sigmund, and C. S. Andreasen, “Topology optimization of two fluid heat exchangers,” Int. J. Heat Mass Transf., vol. 163, p. 120543, Dec. 2020, https://doi.org/10.1016/j.ijheatmasstransfer.2020.120543.
[9] F. Hou, D. Yang, and G. Zhang, “Thermal analysis of LED lighting system with different fin heat sinks,” J. Semicond., vol. 32, no. 1, p. 014006, Jan. 2011, https://doi.org/10.1088/1674-4926/32/1/014006.
[10] T. L. Bergman, A. S. Lavine, and F. P. Incropera, Fundamentals of Heat and Mass Transfer, 7th ed. Somerset: Wiley, 2011.
[11] B. S. Lazarov and O. Sigmund, “Filters in topology optimization based on Helmholtz‐type differential equations,” Int. J. Numer. Methods Eng., vol. 86, no. 6, pp. 765–781, May 2011, https://doi.org/10.1002/nme.3072.
[12] F. Wang, B. S. Lazarov, and O. Sigmund, “On projection methods, convergence and robust formulations in topology optimization,” Struct. Multidiscip. Optim., vol. 43, no. 6, pp. 767–784, Jun. 2011, https://doi.org/10.1007/s00158-010-0602-y.
[13] J. Asmussen, J. Alexandersen, O. Sigmund, and C. S. Andreasen, “A ‘poor man’s’ approach to topology optimization of natural convection problems,” Struct. Multidiscip. Optim., vol. 59, no. 4, pp. 1105–1124, Apr. 2019, https://doi.org/10.1007/s00158-019-02215-9.
[14] K. Svanberg, “The method of moving asymptotes—a new method for structural optimization,” Int. J. Numer. Methods Eng., vol. 24, no. 2, pp. 359–373, Feb. 1987, https://doi.org/10.1002/nme.1620240207.
[15] COMSOL AB, “Introduction to the Optimization Module,” COMSOL AB, Stockholm, Sweden, 2024. [Online]. Available: https://www.comsol.com/documentation
