An ideal inverting buck-boost converter must produce −16 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = −16 V
D =
2.Easy
An ideal boost converter runs from 24 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.
Vin = 24 VD = 0.4
Vo = V
3.Medium
An ideal boost converter turns 48 V into 192 V for a 2 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 192 VR = 2 Ω
IL = A
4.Medium
A buck converter turns 9 V into 5.4 V for a 12 Ω load. It switches at 40 kHz with L = 220 µH. Find the peak inductor current Imax.
Vin = 9 VVo = 5.4 Vf = 40 kHzL = 220 µHR = 12 Ω
Imax = A
5.Hard
A buck converter turns 12 V into 4.8 V at 50 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 12 VVo = 4.8 Vf = 50 kHzL = 47 µH
Io,min = A
6.Hard
A buck converter turns 12 V into 9 V at 25 kHz with L = 330 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.
Vin = 12 VVo = 9 Vf = 25 kHzL = 330 µHΔVo = 20 mV
C = µF
Answer key
- 1. D = 0.25
- 2. Vo = 40 V
- 3. IL = 384 A
- 4. Imax = 0.5727 A
- 5. Io,min = 0.6128 A
- 6. C = 68.18 µF
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