GATE Exam > GATE Questions > Assertion (A): If the phase shift decreases r...
Start Learning for Free
Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.
Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
- a)Both A and R are true and R is a correct explanation of A.
- b)Both A and R are true but R is not a correct explanation of A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Assertion (A): If the phase shift decreases rapidly near the gain cros...
Assertion (A): If the phase shift decreases rapidly near the gain crossover frequency, phase lead compensation becomes ineffective.
Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
The correct answer is option 'A' - Both A and R are true, and R is a correct explanation of A.
Explanation:
To understand why option 'A' is the correct answer, let's break down the assertion and reason separately and then discuss their relationship.
Assertion (A): If the phase shift decreases rapidly near the gain crossover frequency, phase lead compensation becomes ineffective.
Explanation of Assertion (A):
Phase lead compensation is a technique used in control system design to increase the phase margin and stability of a system. It is achieved by introducing a phase lead network into the system. The phase lead network adds additional phase shift at certain frequencies to improve the stability.
In a control system, the gain crossover frequency is the frequency at which the magnitude of the open-loop transfer function is 1 (0 dB). At this frequency, the phase shift is typically -180 degrees, and the system transitions from being a high gain system to a low gain system.
If the phase shift decreases rapidly near the gain crossover frequency, it means that the phase margin is decreasing. Phase margin is the amount of phase shift that the system can tolerate before becoming unstable. When the phase margin decreases, the system becomes more susceptible to instability and oscillations.
If the phase shift decreases rapidly near the gain crossover frequency, it becomes difficult to introduce additional phase lead compensation to improve the stability. The phase lead compensation is designed to add phase shift at certain frequencies to improve stability. However, if the phase shift is already decreasing rapidly near the gain crossover frequency, the additional phase lead compensation may not be able to counteract the rapid decrease in phase shift, making it ineffective in improving stability.
Reason (R): The additional phase lead at the gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
Explanation of Reason (R):
When designing a phase lead compensator, the additional phase lead is added at a frequency below the original gain crossover frequency. The phase lead compensator increases the phase shift at this lower frequency to improve stability. However, the additional phase lead is added to a smaller phase angle compared to the phase angle at the original gain crossover frequency.
The reason behind adding the phase lead to a smaller phase angle is to ensure that the system remains stable and does not become overly sensitive to disturbances. By adding the phase lead to a smaller phase angle, the system can maintain a certain level of stability while still achieving the desired phase margin and gain crossover frequency.
In a control system, the gain crossover frequency is the frequency at which the magnitude of the open-loop transfer function is 1 (0 dB). At this frequency, the phase shift is typically -180 degrees, indicating a high gain system. By adding a phase lead compensator, the phase shift can be increased at a lower frequency, improving stability without making the system too sensitive to disturbances.
In summary, if the phase shift decreases rapidly near the gain crossover frequency, it becomes difficult to introduce additional phase lead compensation to improve stability. This is because the additional phase lead is added to a much smaller phase angle than that at the
Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
The correct answer is option 'A' - Both A and R are true, and R is a correct explanation of A.
Explanation:
To understand why option 'A' is the correct answer, let's break down the assertion and reason separately and then discuss their relationship.
Assertion (A): If the phase shift decreases rapidly near the gain crossover frequency, phase lead compensation becomes ineffective.
Explanation of Assertion (A):
Phase lead compensation is a technique used in control system design to increase the phase margin and stability of a system. It is achieved by introducing a phase lead network into the system. The phase lead network adds additional phase shift at certain frequencies to improve the stability.
In a control system, the gain crossover frequency is the frequency at which the magnitude of the open-loop transfer function is 1 (0 dB). At this frequency, the phase shift is typically -180 degrees, and the system transitions from being a high gain system to a low gain system.
If the phase shift decreases rapidly near the gain crossover frequency, it means that the phase margin is decreasing. Phase margin is the amount of phase shift that the system can tolerate before becoming unstable. When the phase margin decreases, the system becomes more susceptible to instability and oscillations.
If the phase shift decreases rapidly near the gain crossover frequency, it becomes difficult to introduce additional phase lead compensation to improve the stability. The phase lead compensation is designed to add phase shift at certain frequencies to improve stability. However, if the phase shift is already decreasing rapidly near the gain crossover frequency, the additional phase lead compensation may not be able to counteract the rapid decrease in phase shift, making it ineffective in improving stability.
Reason (R): The additional phase lead at the gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.
Explanation of Reason (R):
When designing a phase lead compensator, the additional phase lead is added at a frequency below the original gain crossover frequency. The phase lead compensator increases the phase shift at this lower frequency to improve stability. However, the additional phase lead is added to a smaller phase angle compared to the phase angle at the original gain crossover frequency.
The reason behind adding the phase lead to a smaller phase angle is to ensure that the system remains stable and does not become overly sensitive to disturbances. By adding the phase lead to a smaller phase angle, the system can maintain a certain level of stability while still achieving the desired phase margin and gain crossover frequency.
In a control system, the gain crossover frequency is the frequency at which the magnitude of the open-loop transfer function is 1 (0 dB). At this frequency, the phase shift is typically -180 degrees, indicating a high gain system. By adding a phase lead compensator, the phase shift can be increased at a lower frequency, improving stability without making the system too sensitive to disturbances.
In summary, if the phase shift decreases rapidly near the gain crossover frequency, it becomes difficult to introduce additional phase lead compensation to improve stability. This is because the additional phase lead is added to a much smaller phase angle than that at the
|
Explore Courses for GATE exam
|
|
Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. 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 Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?.
Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. 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 Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assertion (A): If the phase shift decreases rapidly near the gain cross over frequency, phase lead compensation becomes ineffective.Reason (R): The additional phase lead at gain crossover frequency is added to a much smaller phase angle than that at the old gain crossover frequency.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup