This course starts with the structure and performance of three-phase synchronous generators for power system applications. The basic structures of power systems (the isolated and interconnected power systems) are presented. The modeling of power system components are introduced in this course, along with the per-unit system and single-line diagrams. The matrix modeling with the admittance and impedance matrices are introduced as a practical method for different power system analysis studies. The power flow formulation and solution methods are provided with the help of software tools. The last part of the course is fault analysis, which models power systems under different fault types. It also provides methods used to perform fault analysis, and selection of grounding designs.