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Electrical Power Systems

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274 <strong>Electrical</strong> <strong>Power</strong> <strong>Systems</strong><br />

we know fault current<br />

\ If =<br />

3Vf<br />

Z1 + Z2 + Z0 + 3 Rf<br />

\ If =<br />

3 ´ 1153 . 1190 .<br />

j0. 162 + j0162 . + j0.<br />

197 + 0. 10<br />

\ |If| = 6.514 pu = 6514 . ´<br />

100<br />

KA<br />

3 ´ 110<br />

= 3.418 KA Ans.<br />

Exercise 10 :<br />

10.1 ig. 10.23 show a power network. The far end of the line is connected to an infinite bus.<br />

Data for this system are given below. (a) Draw the positive, negative and zero-sequence<br />

networks. (b) when both the generators and infinite bus operating at 1.0 pu voltage on no<br />

load, a L-G fault occurs at one of the terminals of transformer T1 . Calculate the fault<br />

current.<br />

ig. 10.23: Circuit connection of P 10.1.<br />

Data Positive Negative Zero<br />

G 1 0.15 0.15 0.08<br />

G 2 0.25 0.25 –<br />

T 1 & T 2 0.15 0.15 0.15<br />

Line 0.20 0.20 0.40<br />

Infinite bus 0.15 0.15 0.05<br />

Ans: I f = – j6.732 pu.<br />

10.2 ig. 10.24 shows a sample power network. A double line to ground fault occurs on phases<br />

b and c at point in the system. ind the fault current in phase c of G1. Both the<br />

machines are rated 1.2 MVA, 0.6 KV with x 1 = x 2 = 0.10 pu. and x 0 = 0.05 pu. Transformers<br />

are 1.2 MVA each with leakage reactance of 0.05 pu. Transmission line reactances are<br />

x L2 = x L2 = 0.20 pu. and x L0 = 0.40 pu.–on a base of 1.2 MVA, 3.3 KV. The reactances of<br />

the neutral grounding reactors are 0.50 pu. on the MVA base of the machines.<br />

Ans: 5.266 KA<br />

ig. 10.24: Circuit diagram of P 10.2.<br />

10.3 A 11 KV, 30 MVA generator has x1 = x2 = 0.2 pu and x0 = 0.05 pu. (i) a line to ground fault<br />

occurs on the generator terminal. ind the fault current and line to line voltages during<br />

fault conditions. Assume that the generator neutral is solidly grounded.<br />

Ans: 10. 5 – 90°<br />

KA.

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