The main aim of the paper is to analyze the performance of radial basis function network (RBFN) based SSSC on power handling capacity of the line, improvement in transient stability and damping of oscillations of the single machine infinite bus (SMIB) system and multi-machine system. This paper presents the comparative performance studies of two different controllers namely: [i] conventional PI controller, and [ii] radial basis function network (RBFN). Controllers are designed to coordinate two control inputs: in-phase voltage and the quadrature voltage of SSSC. The RBFN model is trained by the real power and the voltage of injection bus. The coordinated action of proposed SSSC controllers with power oscillations damping (POD) control & power system stabilizer (PSS) are tested for dynamic performance of the system under various system conditions. The simulation results shows that, the proposed controllers increases the power handling capacity of the line, significant improvement in transient stability of the system, and damping of oscillations. The results indicate that, the coordinated POD & PSS action further improves the dynamic performance of the system. The RBFN based SSSC controller provides superior dynamic performance than PI controller