Derivation the value of K in induction motor torque equation
Derivation the value of K in induction motor torque equation In case of 3-phase induction motor , there occur copper losses in rotor. These rotor copper losses are expressed as P c = 3I 2 2 R 2 We know that rotor current, Substitute this value of I 2 in the equation of rotor copper losses, P c . So, we get The ratio of P 2 : P c : P m = 1 : s : (1 – s) Where, P 2 is the rotor input, P c is the rotor copper losses, P m is the mechanical power developed. Substitute the value of Pc in above equation we get, On simplifying we get, The mechanical power developed P m = Tω, Substituting the value of P m We know that the rotor speed N = N s (1 – s) Substituting this value of rotor speed in above equation we get, N s is speed in revolution per minute (rpm) and n s is speed in revolution per sec (rps) and the relation between the two is Substitute this value of N s in above equation and simplifying it we get Comparing both the equations, we get, constant ...