An ideal boost converter must produce 32 V from 24 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 24 VVo = 32 V
D =
2.Easy
An ideal buck converter runs from 5 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.
Vin = 5 VD = 0.5
Vo = V
3.Medium
An ideal boost converter turns 48 V into 96 V for a 2.5 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 96 VR = 2.5 Ω
IL = A
4.Medium
An ideal inverting buck-boost converter turns 36 V into −84 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = −84 Vf = 50 kHzL = 330 µH
ΔIL = A
5.Hard
A buck converter turns 48 V into 36 V at 500 kHz with L = 330 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 48 VVo = 36 Vf = 500 kHzL = 330 µHΔVo = 20 mV
C = µF
6.Hard
A buck converter turns 15 V into 7.5 V at 20 kHz with L = 330 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 15 VVo = 7.5 Vf = 20 kHzL = 330 µH
Io,min = A
Answer key
- 1. D = 0.25
- 2. Vo = 2.5 V
- 3. IL = 76.8 A
- 4. ΔIL = 1.527 A
- 5. C = 0.6818 µF
- 6. Io,min = 0.2841 A
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