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Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.
- a)Machine-I share 80 MW and machine-2 share 100 MW
- b)Machine-1 share 60 MW and machine-2 share 120 MW
- c)Machine-1 share 120 MW and machine-2 share 60 MW
- d)Machine-1 share 100 MW and machine-2 share 60 MW
Correct answer is option 'A'. Can you explain this answer?
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Two 3-phase alternator operates in parallel. The rating of one machin...
Let assume the original frequency is fo
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Ist machine having droop = 5%
IInd machine having droop = 6%
According to similar triangle property.
Similarly.
P1 + P2 = 180
x = 0.04f0
P1 = 2000 × 0.04 = 80MW
P2 = 2500 × 0.04 = 100MW
Most Upvoted Answer
Two 3-phase alternator operates in parallel. The rating of one machin...
Given:
Two 3-phase alternators operate in parallel.
Rating of machine 1 = 100 MW
Rating of machine 2 = 150 MW
Drooping characteristics of machine 1 = 5%
Drooping characteristics of machine 2 = 6%
Load to be shared = 180 MW
To find:
How will the alternators share the load of 180 MW?
Solution:
The drooping characteristics of a governor determine how much the output power of the alternator will change with a change in the input speed. It is expressed as a percentage change in output power for a percentage change in speed.
Step 1: Calculate the droop constant for each machine
Droop constant = 100 / (2 * pi * rating * droop)
Machine 1 droop constant = 100 / (2 * 3.14 * 100 * 0.05) = 31.847
Machine 2 droop constant = 100 / (2 * 3.14 * 150 * 0.06) = 17.146
Step 2: Calculate the speed of each machine
Speed = 100 / (1 + droop constant * (Pout - Prated))
Machine 1 speed = 100 / (1 + 31.847 * (180 - 100)) = 98.57%
Machine 2 speed = 100 / (1 + 17.146 * (180 - 150)) = 99.29%
Step 3: Calculate the power output of each machine
Pout = Prated * (1 + droop constant * (Pout - Prated))
Machine 1 power output = 100 * (1 + 31.847 * (180 - 100)) = 79.248 MW
Machine 2 power output = 150 * (1 + 17.146 * (180 - 150)) = 100.878 MW
Step 4: Calculate the power shared by each machine
Power shared by machine 1 = machine 1 power output - machine 1 rating = 79.248 - 100 = -20.752 MW
Power shared by machine 2 = machine 2 power output - machine 2 rating = 100.878 - 150 = -49.122 MW
Step 5: Adjust the power shared by each machine
Since both machines are operating in parallel, the power shared by each machine should be positive. To adjust the power sharing, we need to reduce the power output of machine 1 and increase the power output of machine 2.
Step 6: Final power sharing
Total power shared = machine 1 power output + machine 2 power output = 79.248 + 100.878 = 180.126 MW
Power shared by machine 1 = machine 1 power output - (total power shared - 180) = 79.248 - (180.126 - 180) = 79.248 - 0.126 = 79.122 MW
Power shared by machine 2 = machine 2 power output + (total power shared - 180) = 100.878 + (180.126 - 180) = 100.878
Two 3-phase alternators operate in parallel.
Rating of machine 1 = 100 MW
Rating of machine 2 = 150 MW
Drooping characteristics of machine 1 = 5%
Drooping characteristics of machine 2 = 6%
Load to be shared = 180 MW
To find:
How will the alternators share the load of 180 MW?
Solution:
The drooping characteristics of a governor determine how much the output power of the alternator will change with a change in the input speed. It is expressed as a percentage change in output power for a percentage change in speed.
Step 1: Calculate the droop constant for each machine
Droop constant = 100 / (2 * pi * rating * droop)
Machine 1 droop constant = 100 / (2 * 3.14 * 100 * 0.05) = 31.847
Machine 2 droop constant = 100 / (2 * 3.14 * 150 * 0.06) = 17.146
Step 2: Calculate the speed of each machine
Speed = 100 / (1 + droop constant * (Pout - Prated))
Machine 1 speed = 100 / (1 + 31.847 * (180 - 100)) = 98.57%
Machine 2 speed = 100 / (1 + 17.146 * (180 - 150)) = 99.29%
Step 3: Calculate the power output of each machine
Pout = Prated * (1 + droop constant * (Pout - Prated))
Machine 1 power output = 100 * (1 + 31.847 * (180 - 100)) = 79.248 MW
Machine 2 power output = 150 * (1 + 17.146 * (180 - 150)) = 100.878 MW
Step 4: Calculate the power shared by each machine
Power shared by machine 1 = machine 1 power output - machine 1 rating = 79.248 - 100 = -20.752 MW
Power shared by machine 2 = machine 2 power output - machine 2 rating = 100.878 - 150 = -49.122 MW
Step 5: Adjust the power shared by each machine
Since both machines are operating in parallel, the power shared by each machine should be positive. To adjust the power sharing, we need to reduce the power output of machine 1 and increase the power output of machine 2.
Step 6: Final power sharing
Total power shared = machine 1 power output + machine 2 power output = 79.248 + 100.878 = 180.126 MW
Power shared by machine 1 = machine 1 power output - (total power shared - 180) = 79.248 - (180.126 - 180) = 79.248 - 0.126 = 79.122 MW
Power shared by machine 2 = machine 2 power output + (total power shared - 180) = 100.878 + (180.126 - 180) = 100.878
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Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer?
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Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. 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 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. 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 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer?.
Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. 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 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. 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 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two 3-phase alternator operates in parallel. The rating of one machine is 100 MW and that of other is 150 MW. Both alternator are fitted with governors having drooping characteristics of 5% and 6%. How will alternator share a common load of 180 MW.a)Machine-I share 80 MW and machine-2 share 100 MWb)Machine-1 share 60 MW and machine-2 share 120 MWc)Machine-1 share 120 MW and machine-2 share 60 MWd)Machine-1 share 100 MW and machine-2 share 60 MWCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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