The single-line diagram of a simple three-phase balanced power system with the components ratings is shown in the figure below: 500MVA 13.2KV Xs = 150% 400MVA 13.8/132KV X₁ = 10% T1 D T3 181 o f T2 600MVA 132/33KV X₁ = 12% 300MVA 13.8/132KV X1 = 7.5% Transmission Line j7592 Load The load at D is 400MVA at 30kV and 0.8 p.f. lagging. Choose a base of 500MVA and 33kV at the load circuit. (a) Determine the per-unit quantities and draw the per unit impedance diagram for this system. (b) Calculate the line voltage (in kV) at bus B and the complex power at the sending end of the transmission line.

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The single-line diagram of a simple three-phase balanced power system with the components ratings is shown in
the figure below:
500MVA
13.2KV
Xs = 150%
400MVA
13.8/132KV
X₁ = 10%
Τ1
T2
:
300MVA
13.8/132KV
X1 = 7.5%
Transmission Line
j75Ω
T3
fö
600MVA
132/33KV
X₁ = 12%
D
Load
The load at D is 400MVA at 30kV and 0.8 p.f. lagging. Choose a base of 500MVA and 33kV at the load circuit.
(a) Determine the per-unit quantities and draw the per unit impedance diagram for this system.
(b) Calculate the line voltage (in kV) at bus B and the complex power at the sending end of the transmission line.
Transcribed Image Text:The single-line diagram of a simple three-phase balanced power system with the components ratings is shown in the figure below: 500MVA 13.2KV Xs = 150% 400MVA 13.8/132KV X₁ = 10% Τ1 T2 : 300MVA 13.8/132KV X1 = 7.5% Transmission Line j75Ω T3 fö 600MVA 132/33KV X₁ = 12% D Load The load at D is 400MVA at 30kV and 0.8 p.f. lagging. Choose a base of 500MVA and 33kV at the load circuit. (a) Determine the per-unit quantities and draw the per unit impedance diagram for this system. (b) Calculate the line voltage (in kV) at bus B and the complex power at the sending end of the transmission line.
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