The transfer function of a phase lead compensator is given by D(s)=\binom{3(s+\frac{1}{3 T})}/{(s+\frac{1}{T})} The frequency (in rad\/sec), at which \angle {D}( {j} \omega) is maximum, is

GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 57 of 65

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The transfer function of a phase lead compensator is given by

D(s)=\;{3(s+{1}/{3 T})}/{(s+\;{1}/{T})}

The frequency (in rad\/sec), at which

∠ {D}( {j} ω)

is maximum, is

Solution:

Given data:

{D}( {s})=\;{3( {s}+{1}/{3 {T}})}/{( {s}+\;{1}/{ {T}})}

ω_{=}=√{ω_{c t} × ω_{c a}}=\;{1}/{√{3 T × T}}=\;{1}/{√{3 T^{2}}}

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