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A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.?
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A station operating at 33 kV is divided into two section A and B inter...
Solution:
Given parameters:
- Voltage level of station = 33 kV
- Two sections: A and B
- Three generators in section A, each 15 MVA and 15% reactance
- Section B fed from grid through a 75 MVA transformer with 8% reactance
- Circuit breakers have rupturing capacity of 750 MVA
To find: Reactance of reactor X to prevent overload of circuit breakers in case of a 3-phase fault in outgoing feeder connected to section A
Steps to solve the problem:
1. Calculate the maximum fault current in the outgoing feeder connected to section A:
- Maximum fault current = MVA rating of generators / (3 * line-to-line voltage * % reactance)
- MVA rating of generators = 3 * 15 MVA = 45 MVA
- Line-to-line voltage = 33 kV / sqrt(3) = 19.1 kV
- % reactance = 15%
- Maximum fault current = 45 MVA / (3 * 19.1 kV * 0.15) = 1036 A
2. Calculate the impedance of the outgoing feeder connected to section A:
- Impedance = line-to-line voltage / maximum fault current
- Impedance = 19.1 kV / 1036 A = 18.4 ohms
3. Calculate the impedance of the transformer in section B:
- Impedance = % reactance / 100 * MVA rating / (3 * line-to-line voltage)
- MVA rating = 75 MVA
- % reactance = 8%
- Line-to-line voltage = 19.1 kV
- Impedance = 8 / 100 * 75 MVA / (3 * 19.1 kV) = 0.93 ohms
4. Calculate the impedance of the reactor X:
- Impedance of reactor X = (impedance of transformer in section B) - (impedance of outgoing feeder connected to section A)
- Impedance of reactor X = 0.93 ohms - 18.4 ohms = -17.47 ohms
5. Interpret the result:
- The calculated impedance of reactor X is negative, which means that it should be an inductive reactor. This is because the fault current in the outgoing feeder connected to section A is leading, and the reactor should provide lagging reactance to compensate for it and prevent overload of the circuit breakers. The negative sign indicates that the reactor should provide more inductance than the impedance of the outgoing feeder connected to section A, which is a typical requirement in such cases.
Given parameters:
- Voltage level of station = 33 kV
- Two sections: A and B
- Three generators in section A, each 15 MVA and 15% reactance
- Section B fed from grid through a 75 MVA transformer with 8% reactance
- Circuit breakers have rupturing capacity of 750 MVA
To find: Reactance of reactor X to prevent overload of circuit breakers in case of a 3-phase fault in outgoing feeder connected to section A
Steps to solve the problem:
1. Calculate the maximum fault current in the outgoing feeder connected to section A:
- Maximum fault current = MVA rating of generators / (3 * line-to-line voltage * % reactance)
- MVA rating of generators = 3 * 15 MVA = 45 MVA
- Line-to-line voltage = 33 kV / sqrt(3) = 19.1 kV
- % reactance = 15%
- Maximum fault current = 45 MVA / (3 * 19.1 kV * 0.15) = 1036 A
2. Calculate the impedance of the outgoing feeder connected to section A:
- Impedance = line-to-line voltage / maximum fault current
- Impedance = 19.1 kV / 1036 A = 18.4 ohms
3. Calculate the impedance of the transformer in section B:
- Impedance = % reactance / 100 * MVA rating / (3 * line-to-line voltage)
- MVA rating = 75 MVA
- % reactance = 8%
- Line-to-line voltage = 19.1 kV
- Impedance = 8 / 100 * 75 MVA / (3 * 19.1 kV) = 0.93 ohms
4. Calculate the impedance of the reactor X:
- Impedance of reactor X = (impedance of transformer in section B) - (impedance of outgoing feeder connected to section A)
- Impedance of reactor X = 0.93 ohms - 18.4 ohms = -17.47 ohms
5. Interpret the result:
- The calculated impedance of reactor X is negative, which means that it should be an inductive reactor. This is because the fault current in the outgoing feeder connected to section A is leading, and the reactor should provide lagging reactance to compensate for it and prevent overload of the circuit breakers. The negative sign indicates that the reactor should provide more inductance than the impedance of the outgoing feeder connected to section A, which is a typical requirement in such cases.
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A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.?
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A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.? 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 A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.?.
A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.? 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 A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A station operating at 33 kV is divided into two section A and B interconnected through a reactor X. Section A has three generators each 15 MVA having 15% reactance. Section B is fed from a grid through a 75 MVA transformer with 8% reactance. The circuit breakers have a rupturing capacity of 750 MVA. Find the reactance of reactor X to prevent the breakers being overloaded if a 3-phase fault occurs on outgoing feeder connected to A.?.
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