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. The 33 kV bus-bars of a station are in two sections P and Q separated by a reactor. The section P is fed from four 10 MVA generators each having a reactance of 20%. The section Q is fed from the grid through a 50 MVA transformer of 10% reactance. The circuit breakers have a rupturing capacity of 500 MVA. Find the reactance of the reactor to prevent the circuit breakers from being overloaded if a symmetrical short-circuit occurs on an outgoing feeder connected to A. Take base MVA as 50 MVA?
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. The 33 kV bus-bars of a station are in two sections P and Q separate...
Calculation of Reactance of the Reactor
- Given data:
- Section P: 4 x 10 MVA generators with 20% reactance each
- Section Q: 50 MVA transformer with 10% reactance
- Rupturing capacity of circuit breakers: 500 MVA
- Symmetrical short-circuit on an outgoing feeder connected to A
- Base MVA: 50 MVA
- Calculations:
1. Total MVA in section P = 4 x 10 = 40 MVA
2. Total reactance in section P = 4 x 20% = 80%
3. Total MVA in section Q = 50 MVA
4. Total reactance in section Q = 10%
5. Total MVA at the bus-bar = 40 + 50 = 90 MVA
6. Total reactance at the bus-bar = 80% + 10% = 90%
7. Short-circuit MVA = Base MVA = 50 MVA
8. Short-circuit current = Short-circuit MVA / Total reactance at the bus-bar = 50 / 0.9 = 55.56 kA
9. Maximum allowable short-circuit current = Rupturing capacity of circuit breakers = 500 MVA / 33 kV = 15.15 kA
10. Reactance of the reactor to limit short-circuit current to 15.15 kA = Short-circuit MVA / Maximum allowable short-circuit current = 50 / 15.15 = 3.3%
- Therefore, to prevent the circuit breakers from being overloaded in case of a symmetrical short-circuit, the reactor should have a reactance of approximately 3.3%.
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. The 33 kV bus-bars of a station are in two sections P and Q separated by a reactor. The section P is fed from four 10 MVA generators each having a reactance of 20%. The section Q is fed from the grid through a 50 MVA transformer of 10% reactance. The circuit breakers have a rupturing capacity of 500 MVA. Find the reactance of the reactor to prevent the circuit breakers from being overloaded if a symmetrical short-circuit occurs on an outgoing feeder connected to A. Take base MVA as 50 MVA?
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