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Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.
Correct answer is '47.3'. Can you explain this answer?
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Two generators rated at 200MW and 400MW are operating in parallel. The...
Solution:
Given:
Power rating of Generator 1, P1 = 200 MW
Power rating of Generator 2, P2 = 400 MW
Droop characteristics of Governor 1, R1 = 4%
Droop characteristics of Governor 2, R2 = 5%
At no load and free governor operation, both generators will share the load equally i.e. P1 = P2 = 300 MW.
The system frequency at this load can be calculated using the following formula:
f = f0 - (ΔP/Δf)*(1/P1 + 1/P2)
where,
f0 = 50 Hz (system frequency at no load)
ΔP = P1 - P2 = -200 MW (negative sign indicates that P2 is greater than P1)
Δf = (R1*P1 + R2*P2)/(2*π*f0*(P1+P2))
Substituting the given values in the above formula, we get:
Δf = (0.04*200 + 0.05*400)/(2*π*50*(200+400)) = 0.0022 Hz
Substituting the value of ΔP and Δf in the formula for system frequency, we get:
f = 50 - (0.0022)*(1/200 + 1/400) = 47.3 Hz
Hence, the system frequency at no load and free governor operation is 47.3 Hz.
Given:
Power rating of Generator 1, P1 = 200 MW
Power rating of Generator 2, P2 = 400 MW
Droop characteristics of Governor 1, R1 = 4%
Droop characteristics of Governor 2, R2 = 5%
At no load and free governor operation, both generators will share the load equally i.e. P1 = P2 = 300 MW.
The system frequency at this load can be calculated using the following formula:
f = f0 - (ΔP/Δf)*(1/P1 + 1/P2)
where,
f0 = 50 Hz (system frequency at no load)
ΔP = P1 - P2 = -200 MW (negative sign indicates that P2 is greater than P1)
Δf = (R1*P1 + R2*P2)/(2*π*f0*(P1+P2))
Substituting the given values in the above formula, we get:
Δf = (0.04*200 + 0.05*400)/(2*π*50*(200+400)) = 0.0022 Hz
Substituting the value of ΔP and Δf in the formula for system frequency, we get:
f = 50 - (0.0022)*(1/200 + 1/400) = 47.3 Hz
Hence, the system frequency at no load and free governor operation is 47.3 Hz.
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Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer?
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Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? 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 Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer?.
Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? 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 Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer?.
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Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer?, a detailed solution for Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? has been provided alongside types of Two generators rated at 200MW and 400MW are operating in parallel. The droop characteristics of their governors are 4% and 5% respectively from no load to full load. Assume that the generators are operating at 50Hz at no load and free governor operation. The system frequency at this load is ___________Hz.Correct answer is '47.3'. Can you explain this answer? theory, EduRev gives you an
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