Mathematical model to analyze phosphor layer heat transfer of an LED system

This study investigated the capability of a mathematical model in estimating the phosphor layer heat transfer of an LED system. The focus was on determining the temperature distribution based on light propagation in the phosphor layer. The mathematical model was built upon past work by Kang et al. and solved numerically with heat generation and transfer incorporated into the model. The model light propagation and heat generation was compared with past research and then used to simulate an experimental study in order to evaluate the solution from the present model and compare it with the temperature measurements of the experimental study. The solution to the temperature distribution using the mathematical model had good agreement with the experimentally measured temperature values using an IR thermal imaging camera. Then the model was used to predict the temperature distribution in the phosphor layer under different heat transfer conditions to provide insight that is difficult to observe in experimental studies due to practical limitations.