Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Two single-phase transformers T1 and T2, eac...
Start Learning for Free
Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)
Correct answer is '555'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two single-phase transformers T1 and T2, each rated at 500 kVA, are o...
Rating of each single phase transformer is 500 kVA, and they operate in parallel.
Also, we have
Percentage impedance of T1 = 1 + j6
Percentage impedance of T2 = 0.8 + j4.8
Now, we have to determine contribution of T2 to share a load of 1000 kVA at 0.8 lags P.F.
When transformers are in parallel, the load shared by the transformers is inversely proportional to the percentage impedance.
Hence, S2 = 555 kVA
Free Test
FREE
| Start Free Test |
Community Answer
Two single-phase transformers T1 and T2, each rated at 500 kVA, are o...
Given Data:
- Two single-phase transformers T1 and T2, each rated at 500 kVA
- Percentage impedance of T1: (1 + j6)
- Percentage impedance of T2: (0.8 + j4.8)
- Load: 1000 kVA at 0.8 lagging power factor
Parallel Operation of Transformers:
When two transformers are operated in parallel, they share the load according to their respective ratings and impedance values. The load sharing is determined based on the ratio of the transformer ratings and the relative impedance values.
Solution:
1. Calculate the equivalent impedances of T1 and T2:
- Z1 = V1^2 / S1 = (1^2 + 6^2) / 100 = sqrt(37) ohms
- Z2 = V2^2 / S2 = (0.8^2 + 4.8^2) / 100 = sqrt(25) ohms
2. Calculate the equivalent impedance for the parallel combination of T1 and T2:
- Zeq = 1 / (1/Z1 + 1/Z2)
= 1 / (1/sqrt(37) + 1/sqrt(25))
= 1 / (0.215 + 0.2)
= 1 / 0.415
= 2.41 ohms
3. Calculate the equivalent rating of the parallel combination of T1 and T2:
- Seq = V^2 / Zeq
= (1000^2) / 2.41
= 414937.759 kVA
4. Determine the individual contributions of T1 and T2 to the load:
- S1 = (Seq * S1) / (S1 + S2)
= (414937.759 * 500) / (500 + 500)
= 207468.8795 kVA
- S2 = Seq - S1
= 414937.759 - 207468.8795
= 207468.8795 kVA
5. Round the contribution of T2 to the nearest integer:
- Contribution of T2 = 207468.8795 kVA ≈ 207469 kVA ≈ 555 kVA
Final Answer: The contribution of T2 to the load is approximately 555 kVA.
- Two single-phase transformers T1 and T2, each rated at 500 kVA
- Percentage impedance of T1: (1 + j6)
- Percentage impedance of T2: (0.8 + j4.8)
- Load: 1000 kVA at 0.8 lagging power factor
Parallel Operation of Transformers:
When two transformers are operated in parallel, they share the load according to their respective ratings and impedance values. The load sharing is determined based on the ratio of the transformer ratings and the relative impedance values.
Solution:
1. Calculate the equivalent impedances of T1 and T2:
- Z1 = V1^2 / S1 = (1^2 + 6^2) / 100 = sqrt(37) ohms
- Z2 = V2^2 / S2 = (0.8^2 + 4.8^2) / 100 = sqrt(25) ohms
2. Calculate the equivalent impedance for the parallel combination of T1 and T2:
- Zeq = 1 / (1/Z1 + 1/Z2)
= 1 / (1/sqrt(37) + 1/sqrt(25))
= 1 / (0.215 + 0.2)
= 1 / 0.415
= 2.41 ohms
3. Calculate the equivalent rating of the parallel combination of T1 and T2:
- Seq = V^2 / Zeq
= (1000^2) / 2.41
= 414937.759 kVA
4. Determine the individual contributions of T1 and T2 to the load:
- S1 = (Seq * S1) / (S1 + S2)
= (414937.759 * 500) / (500 + 500)
= 207468.8795 kVA
- S2 = Seq - S1
= 414937.759 - 207468.8795
= 207468.8795 kVA
5. Round the contribution of T2 to the nearest integer:
- Contribution of T2 = 207468.8795 kVA ≈ 207469 kVA ≈ 555 kVA
Final Answer: The contribution of T2 to the load is approximately 555 kVA.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer?
Question Description
Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. 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 single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. 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 single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer?.
Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. 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 single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. 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 single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer?.
Solutions for Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer?, a detailed solution for Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer? has been provided alongside types of Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two single-phase transformers T1 and T2, each rated at 500 kVA, are operated in parallel. Percentage impedances of T1 and T2 are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T2 (in kVA) is (Answer up to the nearest integer)Correct answer is '555'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup