Question 7.2: Given that V0=100 V+=200∠ 60° V-=100∠ 120° find the phase vo...
Given that
V_{0} =100
V_{+} =200\angle 60°
V_{-} =100\angle 120°
find the phase voltage V_{A}, V_{B}, and V_{C}.
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V_{A}=V_{+}+V_{-}+V_{0}
=200\angle -120°+100\angle -60°+100=300\angle 60°
V_{B}=\alpha ^{2}V_{+}+\alpha V_{-}+ V_{0}
=\left(1\angle 240°\right)\left(200\angle 60°\right) +\left(1\angle 120°\right)\left(100\angle 120°\right) +100
=300\angle -60°
V_{C}=\alpha V_{+}+\alpha ^{2}V_{-}+V_{0}
=\left(1\angle 120°\right)\left(200\angle 60°\right) +\left(1\angle 240°\right)\left(100\angle 120°\right) +100
=0
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