GATE EE 2017 Set 2 — Question 7
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Control Systems → Compensators & Controllers → Lag, Lead & Lag-Lead
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Question
The transfer function of a compensator is given below.The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is
Correct answer
(A) 0.1 < ω < 1
Solution
The transfer function can be written as:This is a cascade of a lead network and a lag network:
1.Lead network: with a zero at and a pole at .
2.Lag network: with a pole at and a zero at .
The phase lead is introduced by the first part. The maximum phase lead occurs at the geometric mean of its zero and pole frequencies:This frequency lies in the range .Continue learning with Success Tracker
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