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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 separated ...
**Given Data:**
- Bus-bars are separated by a reactor
- Section P is fed from four 10 MVA generators with 20% reactance
- Section Q is fed from the grid through a 50 MVA transformer with 10% reactance
- Circuit breakers have a rupturing capacity of 500 MVA
- A symmetrical short-circuit occurs on an outgoing feeder connected to A
**Objective:**
To find the reactance of the reactor required to prevent the circuit breakers from being overloaded during a short-circuit.
**Step 1: Calculate the Fault Current**
The fault current is the current that flows during a short-circuit. To calculate the fault current, we can use the following formula:
Fault Current = Base MVA / (√3 * Z)
Where:
- Base MVA is the base power in MVA (given as 50 MVA)
- Z is the total impedance of the system
**Step 2: Calculate the Total Impedance**
To calculate the total impedance, we need to consider the impedance of the generators, the transformer, and the reactor.
Total Impedance = Z_generators + Z_transformer + Z_reactor
**Step 3: Calculate the Impedance of the Generators**
Since there are four 10 MVA generators with a reactance of 20%, the total impedance of the generators can be calculated as:
Z_generators = (4 * Generator MVA * Generator Reactance) / Base MVA
Z_generators = (4 * 10 * 0.2) / 50 = 0.16
**Step 4: Calculate the Impedance of the Transformer**
The impedance of the transformer is given as 10%. Since the transformer is rated at 50 MVA, the impedance can be calculated as:
Z_transformer = (Transformer MVA * Transformer Reactance) / Base MVA
Z_transformer = (50 * 0.1) / 50 = 0.1
**Step 5: Calculate the Required Reactance of the Reactor**
To prevent the circuit breakers from being overloaded, the total impedance of the system should not exceed the rupturing capacity of the circuit breakers.
Total Impedance <= circuit="" breaker="" rupturing="">
Total Impedance = Z_generators + Z_transformer + Z_reactor
0.16 + 0.1 + Z_reactor <=>
Z_reactor <= 500="" -="">
Therefore, the reactance of the reactor should be less than or equal to (500 - 0.26) ohms to prevent the circuit breakers from being overloaded.
**Conclusion:**
The reactance of the reactor should be less than or equal to (500 - 0.26) ohms to prevent the circuit breakers from being overloaded during a symmetrical short-circuit.
- Bus-bars are separated by a reactor
- Section P is fed from four 10 MVA generators with 20% reactance
- Section Q is fed from the grid through a 50 MVA transformer with 10% reactance
- Circuit breakers have a rupturing capacity of 500 MVA
- A symmetrical short-circuit occurs on an outgoing feeder connected to A
**Objective:**
To find the reactance of the reactor required to prevent the circuit breakers from being overloaded during a short-circuit.
**Step 1: Calculate the Fault Current**
The fault current is the current that flows during a short-circuit. To calculate the fault current, we can use the following formula:
Fault Current = Base MVA / (√3 * Z)
Where:
- Base MVA is the base power in MVA (given as 50 MVA)
- Z is the total impedance of the system
**Step 2: Calculate the Total Impedance**
To calculate the total impedance, we need to consider the impedance of the generators, the transformer, and the reactor.
Total Impedance = Z_generators + Z_transformer + Z_reactor
**Step 3: Calculate the Impedance of the Generators**
Since there are four 10 MVA generators with a reactance of 20%, the total impedance of the generators can be calculated as:
Z_generators = (4 * Generator MVA * Generator Reactance) / Base MVA
Z_generators = (4 * 10 * 0.2) / 50 = 0.16
**Step 4: Calculate the Impedance of the Transformer**
The impedance of the transformer is given as 10%. Since the transformer is rated at 50 MVA, the impedance can be calculated as:
Z_transformer = (Transformer MVA * Transformer Reactance) / Base MVA
Z_transformer = (50 * 0.1) / 50 = 0.1
**Step 5: Calculate the Required Reactance of the Reactor**
To prevent the circuit breakers from being overloaded, the total impedance of the system should not exceed the rupturing capacity of the circuit breakers.
Total Impedance <= circuit="" breaker="" rupturing="">
Total Impedance = Z_generators + Z_transformer + Z_reactor
0.16 + 0.1 + Z_reactor <=>
Z_reactor <= 500="" -="">
Therefore, the reactance of the reactor should be less than or equal to (500 - 0.26) ohms to prevent the circuit breakers from being overloaded.
**Conclusion:**
The reactance of the reactor should be less than or equal to (500 - 0.26) ohms to prevent the circuit breakers from being overloaded during a symmetrical short-circuit.
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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 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.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.?.
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.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.?.
Solutions for 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.? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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