Basic Concepts of dynamical systems and stability. Modeling of power system components for stability studies: generators, transmission lines, excitation, and prime mover controllers, flexible AC transmission (FACTS) controllers; Analysis of single machine and multi-machine systems. Small signal angle instability (low-frequency oscillations): damping and synchronizing torque analysis, eigenvalue analysis; Mitigation using power system stabilizers and supplementary modulation control of FACTS devices. Small signal angle instability (sub-synchronous frequency oscillations): analysis and counter-measures. Transient Instability: Analysis using digital simulation and energy function method. Transient stability controllers. Introduction to voltage Instability. Analysis of voltage Instability.