Balanced Y-connected 3-phase load

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Discussion Overview

The discussion revolves around the calculations related to a balanced Y-connected 3-phase load supplied by a balanced 3-phase voltage source. Participants are addressing the determination of phase voltages, phase currents, and total active and reactive power for the given load configuration.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Participants calculate the phase voltages Van, Vbn, and Vcn based on the given line-to-line voltage and confirm the values as Van = 3810<0, Vbn = 3810<-120, and Vcn = 3810<-240.
  • Phase currents Ian, Ibn, and Icn are computed with Ian = 76.2<-37, Ibn = 76.2<-157, and Icn = 76.2<-277, based on the calculated phase voltages and the given impedance.
  • One participant presents their results for total active power as 695490W and total reactive power as 524090VAR, seeking confirmation on these values.
  • Another participant agrees with the total active and reactive power calculations, noting only minor discrepancies in their results.
  • Formulas for calculating active and reactive power are provided, specifically P=√3VLIcosΦ and Q=√3VLIsinΦ, with Φ being the phase angle of 37°.

Areas of Agreement / Disagreement

Participants generally agree on the calculations for phase voltages and currents. However, there are slight variations in the total active and reactive power values, indicating a lack of complete consensus on those specific results.

Contextual Notes

Some calculations may depend on assumptions regarding the precision of values and rounding. The discussion does not resolve the minor discrepancies in power calculations.

Who May Find This Useful

Students and practitioners interested in electrical engineering, particularly in the analysis of 3-phase systems and power calculations.

eehelp150
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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
upload_2016-10-26_20-26-45.png

Homework Equations


upload_2016-10-24_23-23-24-png.107967.png


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?
 
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eehelp150 said:

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


upload_2016-10-24_23-23-24-png.107967.png


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.
 
cnh1995 said:
Yes.
For total active power, I got:
695490W
For total reactive power, I got:
524090VAR
Would you mind double checking?
 
eehelp150 said:
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=√3VLIcosΦ.
Q=√3VLIsinΦ.
Φ=37°.
 

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