ISRO Electrical Engineering (EE) 2017 - Question 50

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The transfer function of a phase lead controller is (1 + 3Ts) / (1 + Ts). The maximum value of phase provided by this controller is

  • A. 90
  • B. 60
  • C. 45
  • D. 30

Answer: D. 30

Explanation: Phase lead transfer function G(s) = (1 + 3Ts)/(1 + Ts) has α = 1/3. Maximum phase lead φm = arcsin((1 − α)/(1 + α)) = arcsin((2/3)/(4/3)) = arcsin(0.5) = 30°.

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