- 2073 Chaitra · 10 marks
Fault at load end of overhead line
Short answer
On 15 MVA base, Thevenin reactance is 0.4255 pu. Fault level is 35.3 MVA, fault current 617 A at 33 kV. On the 11 kV side, total fault current is 1850 A; G1 supplies 1110 A, G2 supplies 740 A.
Figure below shows a three-phase system. Calculate the short circuit MVA and the fault current when 3-phase balanced short-circuit fault occurs at the load end of the transmission line. Also, determine the fault current supplied by each generator. [Figure: G1 10 MVA, 11 kV, X1'' = 10% and G2 5 MVA, 11 kV, X2'' = 7.5% on a common bus; transformer T1 15 MVA, 11/33 kV, XT = 6%; overhead line XTL = 20 Ω to the load, where the fault occurs]
Base: 15 MVA (transformer rating), 11 kV on the generator side and 33 kV on the line side. Pre-fault voltage is taken as 1.0 pu and pre-fault load current is neglected (usual assumption for fault level calculation).
Per-unit reactances (15 MVA)
| Element | Calculation | pu |
|---|---|---|
| G1 | 0.150 | |
| G2 | 0.225 | |
| T1 | 6% on 15 MVA | 0.06 |
| Line | 0.2755 |
G1 j0.150--+
+--T1 j0.06--line j0.275--F (load end)
G2 j0.225--+
Thevenin reactance
Short-circuit MVA and fault current
Current supplied by each generator
On the 11 kV side, A, so the fault current there is A. It divides inversely as the generator reactances:
Answer: SC MVA MVA; fault current A at 33 kV; G1 supplies A and G2 A (at 11 kV).
✓ Answer checked by Claude Sonnet 5.5
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