Balanced Y-connected 3-phase load

[eehelp150]

Homework Statement

A balanced 3 phase supply of VRMS = 6599.1V is applied to a balanced Y-connected 3-phase load consisting of three identical impedances Z = 50<37°. Take the phase-to-neutral voltage Van as the reference. Calculate:

A)Phase voltages Van, Vbn, Vcn
B)Phase currents Ian, Ibn, Icn
C)Total active and reactive power supplied to load

Homework Equations

The Attempt at a Solution

A)
6599.1V/sqrt(3) = 3810
Van = 3810<0
Vbn = 3810<-120
Vcn = 3810<-240

B)

Ian = 3810<0/50<37° = 76.2<-37
Ibn = 76.2<-157
Icn = 76.2<-277

Did I do parts A and B correctly?

 

[cnh1995]

Homework Statement

A balanced 3 phase supply of VRMS = 6599.1V is applied to a balanced Y-connected 3-phase load consisting of three identical impedances Z = 50<37°. Take the phase-to-neutral voltage Van as the reference. Calculate:

A)Phase voltages Van, Vbn, Vcn
B)Phase currents Ian, Ibn, Icn
C)Total active and reactive power supplied to load
View attachment 108042

Homework Equations

The Attempt at a Solution

A)
6599.1V/sqrt(3) = 3810
Van = 3810<0
Vbn = 3810<-120
Vcn = 3810<-240

B)

Ian = 3810<0/50<37° = 76.2<-37
Ibn = 76.2<-157
Icn = 76.2<-277

Did I do parts A and B correctly?

Yes.

 

[eehelp150]

Yes.

For total active power, I got:
695490W
For total reactive power, I got:
524090VAR
Would you mind double checking?

 

[cnh1995]

For total active power, I got:
695490W
For total reactive power, I got:
524090VAR
Would you mind double checking?

I am getting values close to yours, just a difference of a few watts.
P=√3V_LIcosΦ.
Q=√3V_LIsinΦ.
Φ=37°.