The circuit in the figure is a current commutated DC - DC chopper where, ThM is the main SCR and ThAUX is the auxiliary SCR. The load current is constant at 10 A. ThM is ON. ThAUX is triggered at t = 0. ThM is turned OFF between.
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Solution
To turn-off the main thyristor, in current commutated chopper, Entire main thyristor's current should transfer to capacitor.
For that, the capacitor polarities should reverse. To get this, we turn-on auxiliary SCR.
To calculate the starting point of turn-off time of SCR,
= Time to get capacitor reversed (t1) + Time to get capacitor current equal to load current tq
wt1=π
where w=1√LC
t1=π√LC
t1=π×√10×25.28
t1=49.95μsec
For tq
ic=io
vdc√cLsinωt2=io
230×√1025.28sinωt2=10
ωt2=0.069radians
t2=1.097=1μsec
= t1+t2
= 51.04 μsec is the starting time of the turn off of the main thyristor