An ideal buck converter must produce 1 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = 1 V
D =
2.Easy
An ideal boost converter runs from 15 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.
Vin = 15 VD = 0.5
Vo = V
3.Medium
An ideal boost converter turns 36 V into 72 V at 250 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 72 Vf = 250 kHzL = 33 µH
ΔIL = A
4.Medium
An ideal buck converter turns 36 V into 27 V at 25 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 27 Vf = 25 kHzL = 330 µH
ΔIL = A
5.Hard
A buck converter turns 9 V into 6.3 V at 250 kHz with L = 330 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 9 VVo = 6.3 Vf = 250 kHzL = 330 µH
Io,min = A
6.Hard
A buck converter turns 15 V into 10.5 V at 500 kHz with L = 10 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 15 VVo = 10.5 Vf = 500 kHzL = 10 µH
Io,min = A
Answer key
- 1. D = 0.2
- 2. Vo = 30 V
- 3. ΔIL = 2.182 A
- 4. ΔIL = 0.8182 A
- 5. Io,min = 0.01145 A
- 6. Io,min = 0.315 A
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