An ideal buck converter must produce 28.8 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = 28.8 V
D =
2.Easy
An ideal boost converter runs from 12 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.
Vin = 12 VD = 0.4
Vo = V
3.Medium
An ideal boost converter turns 12 V into 30 V at 200 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 30 Vf = 200 kHzL = 22 µH
ΔIL = A
4.Medium
An ideal boost converter turns 9 V into 18 V at 500 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 18 Vf = 500 kHzL = 150 µH
ΔIL = A
5.Hard
A buck converter turns 24 V into 18 V at 200 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 24 VVo = 18 Vf = 200 kHzL = 100 µHΔVo = 20 mV
C = µF
6.Hard
A buck converter turns 15 V into 4.5 V for a 10 Ω load at 250 kHz, with L = 220 µH and C = 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 15 VVo = 4.5 Vf = 250 kHzL = 220 µHC = 22 µF
ΔVo = mV
Answer key
- 1. D = 0.8
- 2. Vo = 20 V
- 3. ΔIL = 1.636 A
- 4. ΔIL = 0.06 A
- 5. C = 7.031 µF
- 6. ΔVo = 1.302 mV
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