This paper reports on advanced series compensator (ASC) models suitable for large-scale power flow studies. The ASC models are developed in phase coordinates and incorporated into an existing polyphase Newton-Rapshon power flow algorithm. The ASC state variables are combined with the nodal voltage magnitudes and angles of the network in a single frame of reference for highly robust and unified iterative solutions. Analysis of the ASC performance is carried out in both balanced and unbalanced power network operating conditions. The electrical interaction between the ASC phases is considered in order to define a feasible active power control region. Test results are presented to show the prowess of the ASC models.