The following unbalanced line-to-ground voltages are applied to the balanced-Y load shown in Figure 3.3: \(V_{a g}=100 \angle 0^{\circ}, V_{b g}=75 \angle 180^{\circ}\), and \(V_{c g}=50 \angle 90^{\circ}\) volts. The \(\mathrm{Y}\) load has \(Z_{\mathrm{Y}}=3+j 4 \Omega\) per phase with neutral impedance \(Z_{n}=j 1 \Omega\).

(a) Calculate the line currents \(I_{a}, I_{b}\), and \(I_{c}\) without using symmetrical components,

(b) Calculate the line currents \(I_{a}, I_{b}\), and \(I_{c}\) using symmetrical components. Which method is easier?

Figure 3.3

Transcribed Image Text:

2 + Vag C + Vca lo b 1 Vng + N Zv Zx Z