This document discusses and analyzes the AC and DC excitation system models of synchronous generators. It begins by introducing synchronous generators and explaining their importance as sources of electrical energy in power systems. It then describes the basic components and functions of excitation systems, and how they regulate generator output and impact overall system stability. The document presents software simulations comparing the stability of systems using AC versus DC excitation. It finds that AC excitation provides more stable output with no harmonics. Modifications are made to models to improve stability, such as adding anti-windup controls. In the end, the document concludes AC excitation is preferable for determining system stability in modern power systems.