Conventionally, the analysis of poorly damped electromechanical oscillations is performed by considering linearization of dynamical equations governing the power system. This analysis is inadequate if the system is heavily loaded. In order to obtain accurate results, it is required to include nonlinear terms in the analysis. One method where the partial nonlinear nature of the system can be included in the analysis is the method of normal forms. The method of normal forms involves transforming the given nonlinear differential equations to linear differential equations if the terms of degree greater than a certain value are ignored. The presentation will include the following: (i) an investigation of the accuracy of normal form analysis applied to power systems, (ii) normal form analysis in the presence of static VAr compensator and static synchronous compensator, (iii) use of normal form analysis for finding best locations of damping controllers, (iv) model of exciter limiter for normal form analysis, and (v) polynomial approximation of the nonlinear functions in the differential equations governing the system.