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Balanced Y-connected 3-phase load

  1. Oct 26, 2016 #1
    1. The problem statement, all variables and given/known data
    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


    2. Relevant equations
    upload_2016-10-24_23-23-24-png.107967.png

    3. 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?
     
  2. jcsd
  3. Oct 26, 2016 #2

    cnh1995

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    Yes.
     
  4. Oct 27, 2016 #3
    For total active power, I got:
    695490W
    For total reactive power, I got:
    524090VAR
    Would you mind double checking?
     
  5. Oct 27, 2016 #4

    cnh1995

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    Homework Helper

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