In a balanced ?-? circuit shown below, the source voltage is Vab = 655?0o V (rms). The wire impedance is Zw = 15 + j12 and the phase impedance is Z? = 54 + j48 ? per phase. Find the phase currents and line currents.
Mesh equations:
-Vab + ZwI1 + Z?(I1 - I3) + Zw(I1 - I2) = 0 -Vbc + Zw(I2 - I1) + Z?(I2 - I3) + ZwI2 = 0 Z?(I3 - I2) + Z?(I3 - I1) + Z?I3 = 0
IA = I1 = 8.738?-70.3141o A IB = I2 - I1 = 8.738?169.6859o A IC = -I2 = 8.738?49.6859o A
IAB = I1 - I3 = 5.0449?-40.3141o A IBC = I2 - I3 = 5.0449?-160.3141o A ICA = - I3 = 5.0449?79.6859o A
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