Question

Show that power consumed by three identical phase loads connected in delta is equal to three times power consumed when phase loads are connected in star.

Answer 1

I am assuming you have basic idea of star-delta voltage relations:

Answer 2

Answer:

Power consumed in Delta = 3 * Power consumed in Star Network

Explanation:

power consumed by three identical phase loads connected in delta is equal to three times power consumed when phase loads are connected in star.

Identical Phase load = R

Let call terminal A , B , C  of Star & Delta Network

in Start Network  Load between A & B = R + R = 2R

Power consumed in Star Network between A & B =  V²/2R

While in Delta Netwrok Load between A & B  =  R ║ (R + R)

=> R ║ 2R  =   1/(1/R + 1/2R)  =  2R/3

Power consumed in Delta Network between A & B =  V²/(2R/3)  = 3V²/2R

= 3 ( V²/2R)

= 3 ( Power consumed in Star Network between A & B)

Power consumed in Delta = 3 * Power consumed in Star Network