Abstract— A new connection of two medium-power capacitor-run single-phase induction motors is proposed. Also, an adjustable three-phase electrical shaft speed synchronization system with the single-phase induction motors is described. Synchronous capability and recovery time variations are analyzed and obtained by adjusting the stator and the rotor additional parameters. The analysis includes the determination of the relationship between additional parameters, load difference and time response of the mechanical torque and rotational speed. The proposed system is mathematically modeled and simulated using MATLAB. Simulation results are provided and discussed.