Relationship between Rotor Input, Copper Loss and mechanical power

Rotor Input vs Copper Loss vs mechanical power;

The rotor input power P₂, rotor copper loss P_c, gross mechanical power developed P_m and slip has below-mentioned relation.

P₂ : P_c : P_m = 1 : s : (1-s)

From that,

P₂ – P_c = P_m

(1-s) P₂ = P_m

P_c = s P₂

Using the formula,

1. The total mechanical power is developed in the rotor is equal to the (1-s) times of the rotor input.
2. The total copper loss is equal to the slip s times of the rotor input.
3. Total mechanical power is equal to the difference between rotor input to rotor copper loss.

The above relation is used to find out the solution for power flow diagrams.