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A 600 kVA transformer has an efficiency of 95% at full load and also at 60% of full load; both at U.P.F. Determine the efficiency of transformer at 3/4 th full load.
Correct answer is between '95,96'. Can you explain this answer?
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Verified Answer
A 600 kVA transformer has an efficiency of 95% at full load and also a...
Salving equs (1) and (2) we get
Pi = 11.846
Pc = 19.734
at 3/4 th full load.
Most Upvoted Answer
A 600 kVA transformer has an efficiency of 95% at full load and also a...
Given data:
- Transformer rating: 600 kVA
- Efficiency at full load and 60% load: 95%
- Power factor: Unity
Efficiency of transformer at 3/4th full load
- 3/4th full load means the transformer is handling 450 kVA power (75% of 600 kVA)
- Let's assume the input power to the transformer at 3/4th full load is Pin
- Output power at 3/4th full load will be Pout = 0.95 x Pin (since efficiency is given as 95%)
- At unity power factor, the input power and output power are same, so Pin = Pout
- Therefore, Pin = Pout = 0.95 x Pin
- Solving the above equation, we get Pin = 947.37 kVA
- Input power at 3/4th full load is 947.37 kVA
- Output power at 3/4th full load is Pout = 0.95 x 947.37 = 899 kVA
- Efficiency at 3/4th full load = Pout/Pin x 100% = 899/947.37 x 100% = 94.9%
- Rounded off to nearest integer, efficiency at 3/4th full load = 95%
- Therefore, the correct answer is between 95 and 96.
Conclusion:
- The efficiency of a transformer at different load levels can be calculated using the formula Efficiency = (Output power/Input power) x 100%
- Efficiency at any load level can be calculated if efficiency at full load and one other load level is given.
- In this case, we used the given efficiency values at full load and 60% load to calculate the efficiency at 3/4th full load.
- Transformer rating: 600 kVA
- Efficiency at full load and 60% load: 95%
- Power factor: Unity
Efficiency of transformer at 3/4th full load
- 3/4th full load means the transformer is handling 450 kVA power (75% of 600 kVA)
- Let's assume the input power to the transformer at 3/4th full load is Pin
- Output power at 3/4th full load will be Pout = 0.95 x Pin (since efficiency is given as 95%)
- At unity power factor, the input power and output power are same, so Pin = Pout
- Therefore, Pin = Pout = 0.95 x Pin
- Solving the above equation, we get Pin = 947.37 kVA
- Input power at 3/4th full load is 947.37 kVA
- Output power at 3/4th full load is Pout = 0.95 x 947.37 = 899 kVA
- Efficiency at 3/4th full load = Pout/Pin x 100% = 899/947.37 x 100% = 94.9%
- Rounded off to nearest integer, efficiency at 3/4th full load = 95%
- Therefore, the correct answer is between 95 and 96.
Conclusion:
- The efficiency of a transformer at different load levels can be calculated using the formula Efficiency = (Output power/Input power) x 100%
- Efficiency at any load level can be calculated if efficiency at full load and one other load level is given.
- In this case, we used the given efficiency values at full load and 60% load to calculate the efficiency at 3/4th full load.
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A 600 kVA transformer has an efficiency of 95% at full load and also at 60% of full load; both at U.P.F. Determine the efficiency of transformer at 3/4 th full load.Correct answer is between '95,96'. Can you explain this answer?
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