help help A three-phase fully controlled bridge converter is employed to charge

Question

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A three-phase fully controlled bridge converter is employed to charge a battery of 420
V. The supply rms voltage is 415 V line and sufficient inductance having a resistance
of 0.5 ohm is included in the output dc circuit to maintain the current virtually
constant at 30A. Determine the required delay angle (?), displacement factor (DPF),
distortion factor, fundamental supply current, crest factor of ac source current (CF),
the power factor (PF), ac source rms current (Is), thyristor rms current (IT)

Explanation / Answer

a)
Ia = 30A
Total voltage at output side Vo
= Eb + Ia*RL
= 420+30*0.5
= 435V
3sqrt(3)Vm/pi Cos(theta) = Vo
3sqrt(3)*338.84/pi Cos(theta) = 435
theta =39.08o

b)
DPF = Cos(theta) = Cos 39.08 = 0.7761

c)
Is1= (sqrt(6)/pi) Id = 0.7797*Ia= 23.39A

d)
Is = sqrt(2/3) Id = 0.8165*Ia = 24.49A

e)
DF = Is1/Is = 0.9549

f)
PF = DF*DPF = 0.9549*0.7761 = 0.7411

g)
CF = Is_peak/Is = 1.225

h) Thyristor RMS current = Ia/sqrt(3) = 17.32A

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