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4 Chopper-Controlled DC Motor Drive

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4.11 Pulsating Torque<br />

• The average of the harmonic torque is zero.<br />

• High-performance applications require the<br />

pulsating torque to be minimum.<br />

• The applied voltage is resolved into Fourier<br />

components as<br />

V<br />

where<br />

= V +<br />

∞ a ∑ n=1<br />

A<br />

sin(nω<br />

a (t)<br />

n c t n )<br />

dT<br />

V a = Vs<br />

= dV<br />

T<br />

A<br />

n<br />

2V<br />

=<br />

s<br />

nπ<br />

s<br />

nω<br />

dT<br />

sin<br />

c<br />

2<br />

ω<br />

θ<br />

c<br />

n<br />

2π<br />

= 2πf<br />

c =<br />

T<br />

π nωcdT<br />

= −<br />

2 2<br />

+<br />

θ

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