Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 3 phase alternator has generated emf per ph...
Start Learning for Free
A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?
- a)519.6
- b)522.21 V
- c)528 V
- d)305 V
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 3 phase alternator has generated emf per phase of 300 V with 15% thi...
In star connection, the third harmonic component of the three phases cancel out at the line terminals because they are co phased.
∴ the line emf will be consisting of the fundamental and fifth harmonic only
Fundamental component E1 = 300 V
5th harmonic component, E5 = 0.1 × 300 = 30 V
Emf per phase,
= 301.5 V
rms line voltage,
∴ the line emf will be consisting of the fundamental and fifth harmonic only
Fundamental component E1 = 300 V
5th harmonic component, E5 = 0.1 × 300 = 30 V
Emf per phase,
= 301.5 V
rms line voltage,
Most Upvoted Answer
A 3 phase alternator has generated emf per phase of 300 V with 15% thi...
Given Parameters:
- Generated emf per phase = 300 V
- Third harmonic content = 15%
- Fifth harmonic content = 10%
- Connection type = Star
Calculations:
1. Fundamental Component:
- The fundamental frequency is the first harmonic, which is the main frequency component of the generated emf.
- The percentage of the fundamental frequency is calculated by subtracting the harmonic content from 100.
- Therefore, the percentage of the fundamental component in the generated emf is 100% - (15% + 10%) = 75%
- The rms value of the fundamental component is given by Vf = (1.11*Eph) / sqrt(3), where Eph is the generated emf per phase.
- Substituting the values, Vf = (1.11*300) / sqrt(3) = 204.1 V
2. Line Voltage:
- In a star-connected system, the line voltage is given by Vline = sqrt(3)*Vphase.
- Therefore, Vline = sqrt(3)*Vf = sqrt(3)*204.1 = 353.6 V
3. Total Voltage:
- The total voltage is the rms value of the sum of all harmonic components and the fundamental component.
- The rms value of each harmonic component is given by Vharm = (harmonic content/100) * Vf.
- Therefore, V3harm = (15/100)*204.1 = 30.6 V and V5harm = (10/100)*204.1 = 20.4 V.
- The total voltage is given by Vtotal = sqrt(Vf^2 + V3harm^2 + V5harm^2).
- Substituting the values, Vtotal = sqrt((204.1)^2 + (30.6)^2 + (20.4)^2) = 230.5 V
4. Final Answer:
- The rms line voltage is the total voltage divided by sqrt(3) in a star-connected system.
- Therefore, Vline_rms = Vtotal / sqrt(3) = 230.5 / sqrt(3) = 522.2 V (approx.)
Therefore, the correct answer is option B) 522.21 V.
- Generated emf per phase = 300 V
- Third harmonic content = 15%
- Fifth harmonic content = 10%
- Connection type = Star
Calculations:
1. Fundamental Component:
- The fundamental frequency is the first harmonic, which is the main frequency component of the generated emf.
- The percentage of the fundamental frequency is calculated by subtracting the harmonic content from 100.
- Therefore, the percentage of the fundamental component in the generated emf is 100% - (15% + 10%) = 75%
- The rms value of the fundamental component is given by Vf = (1.11*Eph) / sqrt(3), where Eph is the generated emf per phase.
- Substituting the values, Vf = (1.11*300) / sqrt(3) = 204.1 V
2. Line Voltage:
- In a star-connected system, the line voltage is given by Vline = sqrt(3)*Vphase.
- Therefore, Vline = sqrt(3)*Vf = sqrt(3)*204.1 = 353.6 V
3. Total Voltage:
- The total voltage is the rms value of the sum of all harmonic components and the fundamental component.
- The rms value of each harmonic component is given by Vharm = (harmonic content/100) * Vf.
- Therefore, V3harm = (15/100)*204.1 = 30.6 V and V5harm = (10/100)*204.1 = 20.4 V.
- The total voltage is given by Vtotal = sqrt(Vf^2 + V3harm^2 + V5harm^2).
- Substituting the values, Vtotal = sqrt((204.1)^2 + (30.6)^2 + (20.4)^2) = 230.5 V
4. Final Answer:
- The rms line voltage is the total voltage divided by sqrt(3) in a star-connected system.
- Therefore, Vline_rms = Vtotal / sqrt(3) = 230.5 / sqrt(3) = 522.2 V (approx.)
Therefore, the correct answer is option B) 522.21 V.
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
A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer?
Question Description
A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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 A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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 A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer?.
A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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 A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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 A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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 A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 3 phase alternator has generated emf per phase of 300 V with 15% third harmonic and 10% fifth harmonic content. If the alternator is star connected, what is the value of rms line voltage?a)519.6b)522.21 Vc)528 Vd)305 VCorrect answer is option 'B'. 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