Although, series compensators including dynamic voltage restorer and series active filters in general are considered reliable, a stability analysis of their configuration and their control algorithm is mandatory before their large propagation in the power system. The stability study of three-phase controllers applied in drives and Active filters seems complex and unusual.Thus, this paper presents a comprehensive approach to evaluate the stability of a typical control algorithm by means of Laplace transforms in frequency domain. Furthermore, the paper focus on the stability of LC filters implemented in series compensators to eliminate high frequency harmonics of the power converter.Then, the effect of passive dampers is evaluated. This frequency domain interpretation of three-phase passive filter could be used in stability analysis of various three-phase systems. Moreover, simulation and experimental results are presented to validate the theoretical approach.