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Maximum Phase Lead

The transfer function of a phase lead controller is (1 + 3Ts) / (1 + Ts). What will be the maximum phase provided by this controller?

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Answer & Explanation

Correct AnswerD. 30°

Quick Explanation

For a lead network (1+aTs)/(1+Ts) with a=3, the maximum phase lead satisfies sinφm=(a−1)/(a+1)=2/4=0.5. Therefore φm=30°.

Formula / Key Relation

sinφm=(a−1)/(a+1); a=3 ⇒ φm=30°

Detailed Explanation

Correct Answer

D — 30°

Concept and Reasoning

For a lead network (1+aTs)/(1+Ts) with a=3, the maximum phase lead satisfies sinφm=(a−1)/(a+1)=2/4=0.5. Therefore φm=30°.

Calculation / Key Relation

sinφm=(a−1)/(a+1)

a=3 ⇒ φm=30°

Exam Takeaway

For lead compensation, a>1 and the maximum phase follows the sine relation.

Common Mistake

Do not take the coefficient ratio itself as an angle.

Quick Trick

For lead compensation, a>1 and the maximum phase follows the sine relation.

Common Mistake

Do not take the coefficient ratio itself as an angle.

Exam Tip

For lead compensation, a>1 and the maximum phase follows the sine relation.

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QP-112-202425.pdf2024Q. 26

Maximum Phase Lead

Quick Explanation

Formula / Key Relation

Detailed Explanation

Correct Answer

Concept and Reasoning

Calculation / Key Relation

Exam Takeaway

Common Mistake

Quick Trick

Common Mistake

Exam Tip

Previous Exam Appearances

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