T HE PERFORMANCE of a synchronous tie-that is, of a synchronized drive consisting of two induction ma chines with interconnected rotors-has been analyzed 1 in terms of the loci of the stator currents. The torques im pressed upon the rotors of these machines by their revolving fields can be expressed in the form τι««ΐΘΓ = το + (τ π -r 0 ) sin 2 -+T* sin δ = r m +r s τlagger = το+ (τ* -r 0 ) sin 2 -rk sin δ = r m -TSwhere the subscript "leader" applies to the machine whose induced rotor voltages lead in time the corresponding rotor voltages of the other machine (called "lagger") by the angle δ in electrical degrees.The quantities ro,r x , and r k are functions of s which de pend upon the constants of the general equivalent circuit of the tie. The quantity r m is the motor torque; 2r m repre^ sents the over-all power transmitted through both air gaps into the rotors; if friction and windage are considered part of the loads, the sum of the mechanical powers delivered by both shafts is represented by 2r OT (l -s), while the losses in the resistances of the rotor windings and additional rotor networks are given by 2r m s.The quantity r s is the syn chronizing torque. It is this term of the expressions for torque which, acting in opposite directions on the two ro tors, acts to keep them in step. For s>0, r m and ricader are positive, while TiaggCr can be negative.The two remote stations to be kept in synchronous opera tion consist in general each of a driver (prime mover or mo tor of any kind) and of a mechanical load with given torque-\, and the latter kind of operation often is preferred as it generally gives larger values of τ Α , thus making it possible to reapportion larger load differences.Sometimes only one station ...