An ideal buck converter must produce 2 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = 2 V
D =
2.Easy
An ideal buck converter must produce 38.4 V from 48 V in continuous conduction. Find the duty cycle D.
Vin = 48 VVo = 38.4 V
D =
3.Medium
An ideal boost converter turns 48 V into 192 V at 50 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 192 Vf = 50 kHzL = 220 µH
ΔIL = A
4.Medium
An ideal inverting buck-boost converter turns 24 V into −36 V at 250 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 24 VVo = −36 Vf = 250 kHzL = 47 µH
ΔIL = A
5.Hard
A buck converter turns 9 V into 3.6 V at 500 kHz with L = 10 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 9 VVo = 3.6 Vf = 500 kHzL = 10 µHΔVo = 20 mV
C = µF
6.Hard
A buck converter turns 48 V into 19.2 V at 40 kHz with L = 220 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 48 VVo = 19.2 Vf = 40 kHzL = 220 µHΔVo = 20 mV
C = µF
Answer key
- 1. D = 0.4
- 2. D = 0.8
- 3. ΔIL = 3.273 A
- 4. ΔIL = 1.226 A
- 5. C = 5.4 µF
- 6. C = 204.5 µF
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