This document is a technical report that investigates the multiphysics modeling and multilevel optimization of a thermoelectric generator (TEG) designed for waste heat recovery. It addresses the challenge of converting waste heat, which is often lost in industrial processes, into useful electrical energy through thermoelectric devices that utilize the Seebeck effect. The report details the numerical modeling and simulation of a TEG using COMSOL Multiphysics software, focusing on the performance of P-Type and N-Type Bismuth Telluride semiconductor modules. The study outlines the principles of thermoelectric generation, including the relationship between temperature gradients and electrical output, and discusses the efficiency of thermoelectric materials. Additionally, it presents analytical derivations related to the power generation process, thermal efficiency, and the significance of material properties in optimizing TEG performance. The findings indicate potential applications for TEGs across various industries, highlighting the importance of efficient waste heat recovery systems.