This document discusses a numerical study of active and passive cooling techniques for GaN HEMTs. The study aims to construct an analytical model to investigate how cooling affects the electrical performance of GaN HEMTs. Specifically, the objectives are to understand the appropriate cooling levels, pressure, flow rate, and fluid type needed to maximize current flow. The proposed approach involves creating a geometry model in ANSYS Fluent, applying a mesh, and running simulations under different parameters. Simulation results show that using micro-channel cooling can lower hot spot temperatures by up to 1.5°C at higher inlet velocities. Future work includes refining the model, incorporating complete geometry and boundary conditions, and modeling temperature-dependent thermal conductivity.