An ideal buck converter must produce 38.4 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 38.4 V
D =
2.Easy
An ideal buck converter must produce 6 V from 15 V in continuous conduction. Find the duty cycle D.
Vin = 15 VVo = 6 V
D =
3.Medium
An ideal boost converter turns 12 V into 24 V at 25 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 24 Vf = 25 kHzL = 220 µH
ΔIL = A
4.Medium
An ideal boost converter turns 9 V into 22.5 V for a 15 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 22.5 VR = 15 Ω
IL = A
5.Hard
A buck converter turns 24 V into 9.6 V at 200 kHz with L = 10 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 24 VVo = 9.6 Vf = 200 kHzL = 10 µHΔVo = 20 mV
C = µF
6.Hard
A buck converter turns 24 V into 18 V for a 12 Ω load at 500 kHz, with L = 22 µH and C = 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 18 Vf = 500 kHzL = 22 µHC = 220 µF
ΔVo = mV
Answer key
- 1. D = 0.8
- 2. D = 0.4
- 3. ΔIL = 1.091 A
- 4. IL = 3.75 A
- 5. C = 90 µF
- 6. ΔVo = 0.4649 mV
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