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4 Chopper-Controlled DC Motor Drive

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• The solution for the armature current in<br />

three time segments is<br />

V E<br />

i (t)<br />

s −<br />

(1 e a<br />

a = − ), 0 < t <<br />

R<br />

i<br />

a<br />

(t)<br />

=<br />

I<br />

a1<br />

e<br />

a<br />

(t−dT)<br />

−<br />

T<br />

a<br />

−<br />

−<br />

t<br />

T<br />

E<br />

R<br />

a<br />

(1 − e<br />

dT<br />

(t−dT)<br />

−<br />

T<br />

ia (t) = 0, (tx<br />

+ dT) < t <<br />

a<br />

),<br />

T<br />

dT<br />

≤<br />

t<br />

≤<br />

t<br />

x<br />

- dT

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