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Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ω and 3Ω respectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.
Correct answer is between '2.05,2.13'. Can you explain this answer?
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Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchr...
→syn. Condencors
→ current’s supplied both the machines are same
→ current’s supplied both the machines are same
As the two motors, supplying reactive power only, the phasor diagaram will be
Most Upvoted Answer
Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchr...
Given data:
- Two parallel connected synchronous machines A and B
- Three-phase, 50Hz, 11kV, star-connected
- Operating as synchronous condensers
- Together supply 50 MVAR to a 11 kV grid
- Current supplied by both machines is equal
- Synchronous reactances: Xa = 1, Xb = 3
Calculating the reactive power supplied by each machine:
- Total reactive power supplied by both machines = 50 MVAR
- Reactive power supplied by machine A = Reactive power supplied by machine B = 50/2 = 25 MVAR
Calculating the current supplied by each machine:
- Apparent power supplied by each machine = √(Active power^2 + Reactive power^2)
- Apparent power supplied by each machine = √(0^2 + 25^2) = 25 MVA
- Voltage across each machine = 11 kV
- Current supplied by each machine = Apparent power / Voltage = 25000 / 11 = 2272.73 A
Calculating the excitation current:
- The excitation current of a synchronous machine is given by the equation: Ie = V / Xs
- Where Ie is the excitation current, V is the voltage across the synchronous machine, and Xs is the synchronous reactance of the machine
Excitation current of machine A:
- Voltage across machine A = 11 kV
- Excitation current of machine A = 11000 / 1 = 11000 A
Excitation current of machine B:
- Voltage across machine B = 11 kV
- Excitation current of machine B = 11000 / 3 = 3666.67 A
Ratio of excitation current:
- Ratio of excitation current of machine A to that of machine B = 11000 / 3666.67 = 3
Explanation:
- The ratio of excitation current of machine A to that of machine B is 3, which is different from the given correct answer range of 2.05 to 2.13.
- It is possible that there is a mistake in the given data or the correct answer range.
- Two parallel connected synchronous machines A and B
- Three-phase, 50Hz, 11kV, star-connected
- Operating as synchronous condensers
- Together supply 50 MVAR to a 11 kV grid
- Current supplied by both machines is equal
- Synchronous reactances: Xa = 1, Xb = 3
Calculating the reactive power supplied by each machine:
- Total reactive power supplied by both machines = 50 MVAR
- Reactive power supplied by machine A = Reactive power supplied by machine B = 50/2 = 25 MVAR
Calculating the current supplied by each machine:
- Apparent power supplied by each machine = √(Active power^2 + Reactive power^2)
- Apparent power supplied by each machine = √(0^2 + 25^2) = 25 MVA
- Voltage across each machine = 11 kV
- Current supplied by each machine = Apparent power / Voltage = 25000 / 11 = 2272.73 A
Calculating the excitation current:
- The excitation current of a synchronous machine is given by the equation: Ie = V / Xs
- Where Ie is the excitation current, V is the voltage across the synchronous machine, and Xs is the synchronous reactance of the machine
Excitation current of machine A:
- Voltage across machine A = 11 kV
- Excitation current of machine A = 11000 / 1 = 11000 A
Excitation current of machine B:
- Voltage across machine B = 11 kV
- Excitation current of machine B = 11000 / 3 = 3666.67 A
Ratio of excitation current:
- Ratio of excitation current of machine A to that of machine B = 11000 / 3666.67 = 3
Explanation:
- The ratio of excitation current of machine A to that of machine B is 3, which is different from the given correct answer range of 2.05 to 2.13.
- It is possible that there is a mistake in the given data or the correct answer range.
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Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer?
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Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer?.
Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer?.
Solutions for Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer?, a detailed solution for Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? has been provided alongside types of Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ωand 3Ωrespectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________.Correct answer is between '2.05,2.13'. Can you explain this answer? theory, EduRev gives you an
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