The paper discusses the modeling and simulation of voltage stability in multi-machine power systems using a Static Synchronous Series Compensator (SSSC) to enhance power stability and mitigate oscillations. It outlines the operational principles of the SSSC, a device improving the damping capabilities of power systems, and presents simulation results conducted with MATLAB to demonstrate its effectiveness in reducing disturbances and accelerating the attainment of steady state conditions. The study provides a systematic approach for the optimal tuning of SSSC controllers to enhance the overall performance and reliability of electric power systems.