Why is cascade control used for speed control of Induction Motor - when we are only interested with the speed control of one induction motor? Because in cascade connection, we use two motors.
That kind of speed control is required only where whole system is synchronized e.g in Paper Industry whole machine motors are Synchronized in that case cascade speed control of Induction motors is required
If you don't have two motors on the same shaft where the second motor
can derive its supply via slip rings from the first motor's rotor then
you cannot cascade their operation. The main motor must be a slip ring
induction motor the slave can be either slip ring or squirrel cage.
In it's most basic configuration three speeds (Na, Nb, Nc) are possible from the same shaft at mains frequency f.
1. Main motor A may be alone on the mains, where Na = 120f/Pa, where Pa is the number of poles in motor A.
2. Auxiliary or the slave motor B running alone on the mains, where Nb = 120f/Pb, where Pb is the number of poles in motor B.