Question 9.7: An unbalanced three-phase wye-connected load is connected to......

An unbalanced three-phase wye-connected load is connected to a balanced three-phase wye-connected generator as shown in Fig. 9.27. The generator  voltage is 220|\underline{10^{\circ}}V rms. For ABC phase sequence, find the line currents.

9.27
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The line currents can be determined as,

I_{Aa}=\frac{220|\underline{10^{\circ}}}{2|\underline{15^{\circ}}+2|\underline{15^{\circ}}}=55|\underline{-5^{\circ}} A      (9.104)

I_{Bb}=\frac{220|\underline{-110^{\circ}}}{2|\underline{15^{\circ}}+4|\underline{-35^{\circ}}}=39.98|\underline{-91.16^{\circ}} A      (9.105)

I_{Cc}=\frac{220|\underline{130^{\circ}}}{2|\underline{15^{\circ}}+5|\underline{-45^{\circ}}}=35.23|\underline{158.90^{\circ}} A      (9.106)

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