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The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?
- a)800 kVAR and 800 kVA respectively
- b)1000 kVAR and 800 kVA respectively
- c)1200 kVAR and 1000 kVA respectively
- d)1600 kVAR and 1200 kVA respectively
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The industry load or a three phase 2200 volts supply line is 1200 kW a...
Reactive power absorbed by load
Q = P tan ϕ
= 1200 × tan (cos-1 (0.6))
= 1600 kVAR
At unity power factor, reactive power requirement = 0
Rating of synchronous condenser = 1600 kVAR
Rating of alternator = 1200 kVA
Q = P tan ϕ
= 1200 × tan (cos-1 (0.6))
= 1600 kVAR
At unity power factor, reactive power requirement = 0
Rating of synchronous condenser = 1600 kVAR
Rating of alternator = 1200 kVA
Most Upvoted Answer
The industry load or a three phase 2200 volts supply line is 1200 kW a...
Given:
- Industry load = 1200 kW
- Power factor (lagging) = 0.6
- Supply line voltage = 2200 V (three-phase)
To Find:
- kVA rating of synchronous condenser
- kVA rating of the alternator required to supply the new total load
Solution:
Step 1: Calculate the apparent power of the load:
Apparent power (S) = Real power (P) / Power factor (PF)
S = 1200 kW / 0.6
S = 2000 kVA
Step 2: Calculate the reactive power of the load:
Reactive power (Q) = √(Apparent power^2 - Real power^2)
Q = √(2000^2 - 1200^2)
Q = 1600 kVAR
Step 3: Calculate the kVA rating of the synchronous condenser:
The synchronous condenser is installed to supply the reactive power demanded by the load, so its kVA rating will be equal to the reactive power of the load.
kVA rating of the synchronous condenser = 1600 kVA
Step 4: Calculate the new total apparent power:
The power factor is raised to unity, so the new apparent power (S') will be equal to the real power (P) of the load.
S' = P = 1200 kW = 1200 kVA
Step 5: Calculate the kVA rating of the alternator:
The alternator is required to supply the new total apparent power, which is equal to the real power of the load.
kVA rating of the alternator = 1200 kVA
Final Answer:
The kVA rating of the synchronous condenser is 1600 kVAR, and the kVA rating of the alternator required to supply the new total load is 1200 kVA.
Therefore, option 'D' is the correct answer.
- Industry load = 1200 kW
- Power factor (lagging) = 0.6
- Supply line voltage = 2200 V (three-phase)
To Find:
- kVA rating of synchronous condenser
- kVA rating of the alternator required to supply the new total load
Solution:
Step 1: Calculate the apparent power of the load:
Apparent power (S) = Real power (P) / Power factor (PF)
S = 1200 kW / 0.6
S = 2000 kVA
Step 2: Calculate the reactive power of the load:
Reactive power (Q) = √(Apparent power^2 - Real power^2)
Q = √(2000^2 - 1200^2)
Q = 1600 kVAR
Step 3: Calculate the kVA rating of the synchronous condenser:
The synchronous condenser is installed to supply the reactive power demanded by the load, so its kVA rating will be equal to the reactive power of the load.
kVA rating of the synchronous condenser = 1600 kVA
Step 4: Calculate the new total apparent power:
The power factor is raised to unity, so the new apparent power (S') will be equal to the real power (P) of the load.
S' = P = 1200 kW = 1200 kVA
Step 5: Calculate the kVA rating of the alternator:
The alternator is required to supply the new total apparent power, which is equal to the real power of the load.
kVA rating of the alternator = 1200 kVA
Final Answer:
The kVA rating of the synchronous condenser is 1600 kVAR, and the kVA rating of the alternator required to supply the new total load is 1200 kVA.
Therefore, option 'D' is the correct answer.
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The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer?
Question Description
The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. 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 The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer?.
The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. 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 The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The industry load or a three phase 2200 volts supply line is 1200 kW at a lagging power factor of 0.6. In order to raise the line power factor to unity (neglecting all the losses) What is the kVA rating of a synchronous condenser installed in parallel with the load and the kVA rating of an alternator required to supply the new total load?a)800 kVAR and 800 kVA respectivelyb)1000 kVAR and 800 kVA respectivelyc)1200 kVAR and 1000 kVA respectivelyd)1600 kVAR and 1200 kVA respectivelyCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
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