In a balanced ?-Y circuit shown below, the magnitude of the phase voltage is VP = 565V (rms). The wire Impedance is ZW = 17 + j11, and the phase impedance is ZY = 47 + j49 ? per phase. Find line currents and voltages of the equivalent Y-connected source assuming ?Vab = 0o.
Mesh equations:
-Vab + ZWI1 + ZYI1 + ZY(I1 - I2) + ZW(I1 - I2) = 0 -Vbc + ZW(I2 - I1) + ZY(I2 - I1) + ZYI2 + ZWI2 = 0
IA = I1 = 3.7184?-73.1524o A IB = I2 - I1 = 3.7184?166.8476o A IC = -I2 = 3.7184?46.8476o A
VAN = ZYIA = 252.4677?-26.9589o A VBN = ZYIB = 252.4677?-146.9589o A VCN = ZYIC = 252.4677?93.0411o A
VAB = VA - VB = 437.2868?3.0411o A VBC = VB - VC = 437.2868?-116.9589o A VCA = VC - VA = 437.2868?123.0411o A
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