Analytical Determination of Temperature Distribution Using Green Function in Passive Cooling Heatsinks for Power Converters

The dissipation of high temperatures is a critical challenge in developing power converters, as elevated temperatures degrade system performance and significantly shorten lifespan. This paper introduces an analytical method based on Green's functions for determining the temperature distribution within a finned aluminum heatsink employed for passive cooling of power converters. A square-shaped heat source, characterized by uniform power density, is centrally positioned on the top surface of the heatsink. Key parameters, such as aluminum thermal conductivity, convection coefficients, and ambient conditions, are integrated into the analysis. The analytical results, achieved in less than 5 seconds, show minimal deviation from numerical simulations performed using SolidWorks 2023, which required 2 minutes. These findings provide valuable insights into heatsink efficiency and pave the way for optimizing passive cooling processes in industrial applications.