Question

The magnitude of the phase voltage of an ideal balanced three-phase Y-connected source is 110 V...

The magnitude of the phase voltage of an ideal balanced three-phase Y-connected source is 110 V . The source is connected to a balanced Y-connected load by a distribution line that has an impedance of 0.1+0.8i Ω/ϕ . The load impedance is 20.2+14.8i Ω/ϕ . The phase sequence of the source is acb. Use the a-phase voltage of the source as the reference.

Part A: Specify the magnitude and phase angle of the line current IaA.

Part B: Specify the magnitude and phase angle of the line current IbB.

Part C: Specify the magnitude and phase angle of the line current IcC.

Part D: Specify the magnitude and phase angle of the line voltage Vab at the source.

Part E: Specify the magnitude and phase angle of the line voltage Vbc at the source.

Part F: Specify the magnitude and phase angle of the line voltage Vca at the source.

Part G: Specify the magnitude and phase angle of the phase voltage VAN at the load.

Part H: Specify the magnitude and phase angle of the phase voltage VBN at the load.

Part I: Specify the magnitude and phase angle of the phase voltage VCN at the load.

Part J: Specify the magnitude and phase angle of the line voltage VAB at the load.

Part K: Specify the magnitude and phase angle of the line voltage VBC at the load.

Part L: Specify the magnitude and phase angle of the line voltage VCA at the load.

Engineering   Electrical-Engineering   
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Homework Answers

Answer #1

Source Voltage =110V

Phase Sequence of Source = acb

Wire Impedance Zw = 0.1 + 0.8i ohm/phase = 0.80682.9

Load Impedance ZL = 20.2 + 14.8i ohm/phase = 25.0436.2

Total Impedance Z = 20.3 + 15.6i = 25.637.54

Phase current = 110 / 25.6 = 4.30 amp

Va = 1100 = 110 + 0i Volts

Vb = 110120 = -55 + 95.26i Volts

Vc = 110-120 = -55 - 95.26i Volts

Part Parameter Formula Result
D Vab Va-Vb 190.52-30 Volts
E Vbc Vb-Vc 190.5290 Volts
F Vca Vc-Va 190.52-150 Volts
A IaA Va/Z 4.30-37.5
B IbB Vb/Z 4.3082.5
C IcC Vc/Z 4.30-157.5
G VAN IaA x ZL 109.22-1.3
H VBN IbB x ZL 109.22118.7
I VCN IcC x ZL 109.22-121.3
J VAB VA-VB 189.17-31.3 Volts
K VBC VB-VC 189.1788.7 Volts
L VCA VC-VA 189.17-151.3 Volts
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