This paper presents the analysis of a single-phase voltage soufce inverter with a second order filter.
The differential equations describing the system behavior in the different modes of operation are
given. A general state space model of the voltage source inverter is first derived. A linearized small
signal dynamic model is then developed &om the system general model using perturbation and
small signal approximation. Root locus analysis presents the study of the system parameters, which
affect the system stability. A feedback output voltage control loop is inserted into the system with
proportional-integral (PI) controller. Liapunov stability method is performed to determine the
condition of the modulation index for stability. The simulation results are given and proved to yield
good agreement when compared with the experimental results.