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Two alternator G1 and G2 rated as 300MW and 600MW respectively are operating in parallel. The droop characteristics of their governors are 3 and 4, respectively from no Ioad to full load. At no load the alternators are operating at a system frequency of 50Hz. Assume free governor operation, if total load of 800MW is being shared by the generator. What will be the system frequency at this load?
  • a)
    48.1
  • b)
    48.2
  • c)
    48.3
  • d)
    48.4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two alternator G1 and G2 rated as 300MW and 600MW respectively are ope...
Machine, G1:
Machine, G2:
By solving (i) and (ii),
We get. P1 = 480 MW, f = 48.4Hz
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Most Upvoted Answer
Two alternator G1 and G2 rated as 300MW and 600MW respectively are ope...
Given data:
Alternator G1 rating = 300 MW
Alternator G2 rating = 600 MW
Droop characteristics of G1 = 3
Droop characteristics of G2 = 4
Total load = 800 MW

Calculating the load sharing:
The load sharing between the two alternators can be calculated using the formula:
Load sharing = (Rating of alternator / Total rating) * Total load

Load sharing of G1 = (300 / (300 + 600)) * 800 = 200 MW
Load sharing of G2 = (600 / (300 + 600)) * 800 = 400 MW

Calculating the frequency drop:
The frequency drop can be calculated using the formula:
Frequency drop = (Load sharing / Rating) * Droop characteristics

Frequency drop of G1 = (200 / 300) * 3 = 2 Hz
Frequency drop of G2 = (400 / 600) * 4 = 2.67 Hz

Calculating the system frequency:
The system frequency can be calculated by subtracting the frequency drop from the no-load frequency.

System frequency = No-load frequency - Frequency drop

Given no-load frequency = 50 Hz
System frequency = 50 - 2 - 2.67 = 45.33 Hz

Conclusion:
The system frequency at a total load of 800 MW will be approximately 45.33 Hz, which is not provided as an option in the given choices. Therefore, none of the options provided is correct.
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Two alternator G1 and G2 rated as 300MW and 600MW respectively are operating in parallel. The droop characteristics of their governors are 3 and 4, respectively from no Ioad to full load. At no load the alternators are operating at a system frequency of 50Hz. Assume free governor operation, if total load of 800MW is being shared by the generator. What will be the system frequency at this load?a)48.1b)48.2c)48.3d)48.4Correct answer is option 'D'. Can you explain this answer?
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