Homework 1
Homework #1 S7.1 Step-down converter Armature inductance La = 0.2 mH. Armature resistance: neglected. The armature curre
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- Yooncheul Jeung
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Homework #1 S7.1 Step-down converter Armature inductance La = 0.2 mH. Armature resistance: neglected. The armature current is 5A. fs = 30 kHz. D = 0.8
(a) The output voltage, Vo, equals 200V. Calculate the input voltage, Vd Duty Cycle: D
Vd
Vo Vd
200 250[V] 0.8
(b) Find the ripple in the armature current. Inductor Ripple Current: I a
Vd Vo D 250 200 0.8 6.67[A] f s La
30000 0.0002
(c) Calculate the maximum and the minimum value of the armature Current
I a 5 3.33 8.33[A] 2 I Minimum output current: armature current a 5 3.33 2.67[A] 2 Maximum output current: armature current
(d) Sketch the armature current, ia(t), and the dc current, id(t). (Assume : Resistance Load 40 Ω)