Out-of-step conditions on a synchronous system

During out-of-stop conditions on a synchronous system a state of equilibrium may be reached under which the system will neither accelerate nor retard until conditions are changed by switching operations or by removal of synchronous condensers. Proof of this theory is given for a condition where the synchronous condensers were operating at 35 cycles (70 per cent of normal), the generators at normal speed of 50 cycles, and induction motors, with a load varying as the square of speed, operating at 65 per cent of synchronous speed.